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NDAMENTALS CAD DESKS Second Edition



/^



Goetsch Nelson Chalk



Digitized by the Internet Archive in



2011



http://www.archive.org/details/technicaldrawingOOgoet



TECHNICAL DRAWING FUNDAMENTALS







CAD







DESIGN



TECHNICAL DRAWING FUNDAMENTALS







CAD







DESIGN



Second Edition Goetsch John A. Nelson William S. Chalk David



m I? Y



(R)



Delmar Publishers



Inc.



L.



9



NOTICE TO THE READER Publisher does not warrant or guarantee any of the products described herein or perform any independent analysis in connection with any of the product information contained herein Publisher does not assume, and expressly disclaims, any obligation to obtain and include information other than that provided to it by the manufacturer. is expressly warned to consider and adopt all safety precautions that might be indicated by the described herein and to avoid all potential hazards By following the instructions contained herein. the reader willingly assumes all risks in connection with such instructions



The reader activities



The publisher makes no representations



or warranties of any kind, including but not limited to. the warranties purpose or merchantability, nor are any such representations implied with respect to the material set forth herein, and the publisher takes no responsibility with respect to such material. The publisher shall not be liable for any special, consequential or exemplary damages resulting, in whole or in part, from the readers' use of. or reliance upon, this material. of fitness for particular



DEDICATION From David



L.



Goetsch To Savannah Day, Toby, Dustin, and Clifford Jay



From John



Nelson



A.



my



To



Delmar



wife, Joyce



CAD



staff



Associate editor: loan



Graphics developed by Engineering Graphics Technology State University Technical Branch. Okmulgee. OK. Member of Consortium for Manufacturing Competitiveness.



Oklahoma



Gill



Editing manager: Gerry East



Publications coordinator: Karen Seebald Design coordinator: Susan Mathews For information, address Delmar Publishers



Ball-bearing model based on a drawing by Leonardo da Vinci. Photo: Brian Merrett. Collection of The Montreal Museum of Fine Arts.



Inc.



Detail from



PO



Box 15015 Albany, New York 12212-5015 3 Columbia Circle,



Copyright All rights



of this



I989 by Delmar Publishers



C



Leonardo da



Vinci



Madrid



Biblioteca Nacional. Madrid.



Inc.



reserved. Certain portions of this work C 1986.



work may be reproduced or used



in



No



part



any form, or by any



means-graphic, electronic, or mechanical, including photocopying, recording, taping, or information storage and retrieval systemswithout written permission of the publisher.



Printed in the United States of



America



Published simultaneously in Canada



by Nelson Canada,



A division of The Thomson Corporation 10



9



8



6



7



5



Library of Congress Cataloging in Publication Data



Goetsch, David



L.



Technical drawing: fundamentals. CAD. design David



)ohn A. Nelson. William cm. p. Rev. ed. of: Technical



S.



Chalk— 2nd



L.



Goetsch.



ed.



drawing and design, t



1



986.



Includes index.



ISBN 0-8273-3280-7 I. Mechanical drawing. William.



III.



I.



Goetsch. David



Nelson. |ohn L.



A.,



1935-



II.



Chalk



Technical drawing and design.



IV Title.



T353.G63



I989



604.2'4-dc



1



88-34462 CIP



MS



I.



f.20v.



courtesy of



Brief Contents



PREFACE



x



SECTION ONE Introduction ing,



2



BASICS







and Line Techniques 67



SECTION TWO



and Their Use 22 2 Geometric Construction 93



Drafting Instruments



I



3



Lettering, Sketch-



TECHNICAL DRAWING FUNDAMENTALS







145



4 Multiview Drawings 146 5 Sectional Views 193 6 Auxiliary Views 225 8 Patterns and Developments 289 9 Dimen7 Descriptive Geometry 24 5 sioning and Notation 323



SECTION THREE







COMPUTER-AIDED DRAFTING



10 Computer-Aided Drafting Technology 392



11



391



Computer-Aided Drafting



Operations 407



SECTION FOUR







DESIGN DRAFTING APPLICATIONS



429



Geometric Dimensioning and Tolerancing 430 13 Fasteners 457 15 Cams 521 16 Gears 535 17 Assembly and Detail Drawings 552 18 Pictorial Drawings 579 12



14 Springs 505



SECTION FIVE







19 Welding 620 tronic Drafting 705



RELATED TECHNOLOGY



619



20 Shop Processes 644 21 Pipe Drafting 684 22 Elec23 Charts and Graphs 720 24 The Design Process 791



APPENDIX A MECHANICAL DRAFTING MATHEMATICS APPENDIX B TABLES



GLOSSARY INDEX



935



928



874



842



Contents



SECTION ONE Introduction



BASICS







1



2



drawings described types of drawings types of technical drawings purpose of technical drawings applications of technical drawings regulation of technical drawings what students of technical drawing and drafting should learn review •



























Chapter







1



Drafting instruments and their use



conventional and ing sets



CAD/CAM



scales







butterfly-type scriber writer











equipment



drafting



measuring







ink tools







airbrush



care of drafting equipment



Chapter



2



freehand lettering sketches







Chapter



3



and



Lettering, sketching,











sizes



review







whiteprinter







draw-



files















open-end type-



problems







line



techniques



67















Geometric construction







mechanical lettering sets







freehand lettering techniques line work sketching techniques review



sketching materials







conventional drafting requisites







technical pens







paper







22



sketching















types of



problems



93



geometric nomenclature elemental construction principles polygon construction review problems circular construction supplementary construction •











SECTION TWO Chapter 4



TECHNICAL DRAWING FUNDAMENTALS







Multiview drawings











145



146



centering the sketching procedure orthographic projection planning the drawing curve plotdrawing rounds and fillets runouts treatment of intersecting surfaces how to represent aligned features cylindrical intersections incomplete views ting problems review first-angle projection holes conventional breaks visualization •



















5











and keyways tion











review



Chapter 6















Auxiliary views











length of a line



VI



line



and







holes, ribs







multisection



and webs, spokes



intersections in sec-



shafts in section



225











how



and



how



partial views







auxiliary section











Descriptive geometry



other views



between a



fasteners



secondary auxiliary views problems



review



descriptive geometry projection line into







section lining







webs



problems



half auxiliary views



7



direction of sight







sections through ribs or



aligned sections







auxiliary views defined



Chapter











193



cutting-plane line



kinds of sections











Sectional views



sectional views















Chapter



views



























245



steps used







to locate a point in



notations



space



to construct a point view of a line



a point in



space







how







fold lines



(right view) •



how











how



how



to project a



to find the true



to find the true distance



to find the true distance



between two



parallel



how to find the true distance between two non-parallel lines how to project a how to construct an edge view of a plane surface how to find plane into another view how to find the true the true distance between a plane surface and a point in space how to determine the visibility of lines how to determine angle between two planes how to determine the piercing point by construction the piercing point by inspection how to find the intersection of how to determine the piercing point by line projection how to find the intersection of a cylinder and a plane two planes by line projection how to find the intersection of a sphere and a plane surface surface by line projection how to find the intersection of two prisms bearings, slope, and grade how to conhow to construct a line struct a line with a specified bearing, slope angle, and length problems review with a specified bearing, percent of grade, and length lines







































































Chapter 8



Patterns and developments







289



parallel line development developments notches true-length diagram development •















Chapter 9



triangulation development problems



radial line



bends







Dimensioning and notation















review











323



laying out dimensions steps in dimension components dimensioning systems summary of dimensioning rules specific dimensioning techniques dimensioning problems review rules for applying notes on drawings notation •















SECTION THREE Chapter



















10



COMPUTER-AIDED DRAFTING







Computer-aided drafting technology







CAD



overview of







computer-aided drafting systems











391



392



CAD hardware



CAD







software



modern CAD system configurations advantages of CAD microCADD microCADD in the beginning advantages of microCADD limitations of microCADD



CAD



users



































review



Chapter



1



Computer-aided drafting operations







1



general system operation



mands



review







12



commands



manipulation







commands



DESIGN DRAFTING APPLICATIONS







Geometric dimensioning and tolerancing







output com-







problems



SECTION FOUR Chapter



input







407



429



430



summary of geometric dimensioning and



general tolerancing positional tolerancing terms geometric dimensioning and positional tolerancing defined modifiers feature control symbol true position cylindricity flatness straightness circularity (roundness! angularity parallelism perpendicularity profile runout review problems •























Chapter



13



pitch































457



Fasteners



















classifications of fasteners



inch (TPI)











threads



screw thread forms







and multiple threads



single



thread representation thread relief (undercut) and keyseats grooved fasteners spring pins review problems •











tap and die



screw, bolt,



















threads per



right-hand and left-hand threads







and stud



fastening systems











rivets











keys



retaining rings











Chapter



14







Springs



spring classification spring data







how



to



spring design layout



views







review











505



helical springs







flat



springs



draw a compression spring •







terminology of springs required draw an extension spring other section view of a spring isometric



standard drafting practices











how



to











problems



VII



Chapter



cam •



15



basic types of followers cam mechanism cam terms cam motion cam from the displacement diagram how to draw a cam with an offset how to draw a cam with a flat-faced follower timing diagram dimensioning



principle



cam























16



535



gearratio







diametral pitch



Chapter



gear train







17



pitch diameter







pressure angle







to use a gear tooth caliper



gear



required tooth-cutting data







the engineering department



gear blank







backlash







detail drawings















design and layout of







basic terminology







measurements required rack bevel gear worm and gears review problems



center-to-center distances







materials







Assembly and











problems







Gears



:



kinds of gears



worm











review







Chapter







521



laying out the



follower a



Cams



















552



drawing revisions invention agreement title block size checking procedure numbering system parts list personal technical file the design procedure working drawings patent drawings computer drawings (see Chapters 10 and 11) review problems •







of lettering within title block











Pictorial drawings























18



















Chapter











579



axonometric drawings oblique drawings types of pictorial drawings perspective drawing isometric principles nonisometric lines hidden lines offset measurements center lines box construction irregularly shaped objects isometric curves iso•















































metric circles or arcs isometric arcs isometric knurls isometric screw threads isometric spheres isometric intersections isometric rounds and fillets isometric di•











mensioning



SECTION FIVE Chapter



19







isometric templates







RELATED TECHNOLOGY







Welding











perspective drawing procedures







review







problems







619



620



welding processes length of weld placement basic welding symbol size of weld of weld intermittent welds field welds weldprocess reference contour symbol seam projection weld ing joints multiple reference line spot weld types of welds weld welding template review problems •















casting



holding devices



2



1











forging



Chapter 22







diagrams



Chapter 23











review















fittings







types of valves







pipe drawings



dimen-



705



connection diagrams schematic diagrams problems review printed circuit board drawings •







Charts and graphs







block diagrams











720 components



five



basic



The design process



791















specific charts



and graphs







problems



Chapter 24







the design process: phases and steps problems review



learning the design process



projects: routine



vin







problems







functional classes: an overview •







Electronic drafting



electronics symbols



















684



types of joints and







sioning pipe drawings



time



extruding







heat treatment of steels



Pipe drafting







types of pipe



review



644







Chapter



logic







special workstamping machining automation and integration (CAM and CIM review CIM FMS industrial robots computer-aided manufacturing (CAM)



shop processes •















Shop processes



















Chapter 20



















FMSl











and non-routine



















design



Appendix A







Mechanical drafting mathematics



842



rounding decimal fractions expressing common fractions as mathematics for drafters evaluating formulas millimeter-inch equivalents (conversion factors) decimal fractions arithmetic operations on angles expressed in degrees, minutes, ratio and proportion degrees, minutes, seconds— decimal degree conversion types of angles and seconds types of triangles common polygons definitions of angles formed by a transversal geometric principles of circle circumference, central angles, arcs, properties of circles geometric princigeometric principles of angles formed inside a circle and tangents internally and ples of angles formed on a circle and angles formed outside a circle trigonometry: trigonometric functions trigonometry: basic externally tangent circles trigonometry: common drafting applications trigonometry: oblique calculations of sides review triangles— law of sines and law of cosines •



















































































Appendix B Glossary Index







contents



874



928



935



i\



Preface is intended for use in such courses as basic and advanced technical drawing, basic and advanced drafting, engineering graphics, descriptive geometry, mechanical drafting, machine drafting, tool and die design and drafting, and manufacturing drafting. It is appropriate for those courses offered in comprehensive high schools, area vocational



Purposes Technical Drawing



schools, technical schools,



community



and technical schools, and



at the



omore



New



Features in the 2nd Edition



Four new chapters, including Pipe tronic Drafting



and



Drafting, Elec-



Charts and Graphs.



Brand new design chapter introduces students to the unique "design process" they will need to succeed in industry.



colleges, trade



freshman and soph-



Completely new chapters and



levels in universities.



tolerancing



and



in geometric dimensioning



dimensioning and notation



have



been commented upon as "the best presentation of dimensioning information in any currently available text." Prerequisites



There are no prerequisites. The text be-



gins at the



Over 400 new drawing problems, most of which



to the



are classified



most basic level and moves step-by-step advanced levels. It is as well suited for students who have had no previous experience with



technical drawing as



it



is



for



students with a great



deal of prior experience.



range, have



the "challenging to very difficult" tested.



Rewritten, in-depth Descriptive Geometry chapter will give students a solid foundation in this subject.



CAD Innovations An advantage of the text is that it has evolved during a time when the world of technical drawing and design is undergoing a period of major transition from manual to automated techniques. Computer-aided drafting (CAD) is slowly but steadily gaining a foothold. This transitional period will last



at least until the turn of the century, with



in



been classroom



CAD gaining



fully updated to reflect the microCAD technology and are based on AutoCAD. VersaCAD*. and CADKEY" systems.



chapters are



very latest



in



Much new



art



is



CAD-generated to familiarize



your students with the style of machine-drawn



Computer Integrated Manufacturing (CIM) mation



is



fully



art.



infor-



integrated into the Shop Processes



chapter,



greater acceptance every year.



This transition has created a need for a major text that deals with both traditional knowledge and skills



and CAD-related knowledge and skills. Technical Drawing fills this need. Even when the world of technical drawing and design has become fully automated, drafters and designers will still need to know the traditional basics and technical drawing fundamentals. These basic factors will not change. Therefore, the traditional fundamentals are treated in depth in



done on existing art and problems to set a high standard for the 2nd Edition.



Technical screening



Tested and Proven Features Step-by-step explanations of drawing procedures



and techniques. Written



in



language your students



will



understand:



technical terms are defined as they are used.



this text.



What is changing, and will continue to change, is way that drafters and designers prepare techni-



the



For this reason, CAD is also treated in of the drawings and illustrations were prepared on various CAD systems. Along with this treatment, Technical Drawing offers students and teachers a special blend of the manual and autocal drawings.



depth, and



many



mated knowledge and techniques that are needed now through the turn of the century, and even beyond. Another advantage of the text is that it was written after the latest update of the most frequently used drafting standard— ANSI Y14.5. This standard was updated with major revisions in 1982, and is now ANSI Y14.5M— 1982. Consequently all dimensioning and tolerancing material in Technical Drawing is based on this most recent edition of the standard. Preface



Unique blue and red color format depicts



iso-



more clearly than "flat" black-andwhite drawings: shaded effect is an excellent metric views



"depth" projector. Text



and



illustrations are located in



direct rela-



tionship to each other.



CAD



techniques are integrated thoughout the two fully dedicated chapters.



text as well as in



"Real-world" techniques and drawings are highlighted throughout the text.



Although the emphasis is on mechanical drafting, other pertinent drafting subjects are included for a comprehensive, well-rounded approach to technical drawing.



The Package Comprehensive



About the Authors



Textbook.



Comprehensive, up-to-date manual Workbook.



new multi-function Workbook with drawing problems that can be done manually or with CAD. via AutoCAD*, VersaCAD*, CADKEY*, or MicroStation*. All



Instructor's



ters



Guide with overhead transparency mas-



and complete course



syllabus.



Manual with solutions for selected problems from both the textbook and the manual workbook.



Solutions



Acknowledgments



edge the



The authors would



efforts of



Goetsch is Dean of Technical Education of Computer-Aided Design and Drafting at Okaloosa-Walton Community College in Niceville, Florida. His drafting and design program has David



like to



acknowl-



many people without whose



assis-



L.



and Professor



won



national acclaim for its pioneering efforts in the area of computer-aided drafting (CAD). In 1984, his



school was selected as one of only ten schools in the country to earn the distinguished Secretary's Award for an outstanding Vocational Program. Goetsch is a widely acclaimed teacher, author, and lecturer on the subject of drafting and design. He won Outstanding Teacher of the Year honors in 1976, 1981. 1982. 1983, and 1984. In 1986 he won the Florida Vocational Association's "Rex Gaugh Award" for outstanding contributions to technical education in Florida. He en-



tance this project would not have been completed. is made to Edward G. Hoffman, author of Chapter 20, "Shop Processes"; and Robert D. Smith, author of Appendix A, "Mechanical Drafting Mathematics." We thank Ray Adams, Dana Welch, Susan Wilkinson, and Ron Ryals for their assistance with illustrations. We thank Deborah M. Goetsch for her assistance with photography and typing. We thank Joyce Nelson for her assistance



Special acknowledgment



with typing.



The following individuals reviewed the manuscript and made valuable suggestions to the authors. We and the publisher greatly appreciate their contributions to this textbook.



Ed Allard Allen Park, Michigan Mr.



Canada



r



c



Mr. John English



Kentucky State



Mr. Larry Ralston



University



St.



Frankfort, Kentucky



St.



James



Joliet



Fox Junior College



Goetsch



L.



Ryerson Technical Institute Toronto,



Mr.



David



Mr. Ted Jansen



Louis Technical Ann, Missouri



Mr. Robert



Rhea



A.



University of Texas



Houston, Texas



United States Department of Education



Joliet, Illinois



===== Secretary



Mr. Mr. Gerry Hansen Santa Cruz. California



's



Aicard



=====



Hugh F Rogers



Pennsylvania State University



State College. Mr. Don Hartsharn Columbus State Community College



Mr.



Columbus, Ohio



Chicago,



The Secretary of Education recognizes Okaloosa- Walton Junior College for an outstanding Vocational Education Program in 1984, Drafting and Design Technology



Pennsylvania



P^7?*zg&&SL T H BeD



Gary Rybicki



I'niicd



Sutrn ScvrrUrv of Education



Illinois



Elizabeth Smith



Northern Virginia Community College Alexandria, Virginia



.0:1



..8



.0-£



"



W



o-?



9-C



*J



VT



lima



1-



ino«9



z/i



i



Introduction



13



Technical drawings are equally important to engiand various other individuals work-



signs. Technical



neers, designers,



of individuals



mon



ing in the manufacturing industry. Manufacturing engi-



neers use technical drawings to



document



drawings guide the collective efforts are concerned with the same com-



who



goal, Figures 1-30



and



1-3



1.



their de-



NOTE



CX-040000



PNEUMATIC TRANSMITTER SHOWN. PIPING SAME FOR ELECTRONIC TRANSMITTER, EXCEPT AIR SUPPLY AND OUTPUT CONNECTIONS ARE NOT REQUIRED. TRANSMITTER MOUNTED AIR SUPPLY BELOW PROCESS LINE. SEE DETAIL CX-0100A0



SEE DETAIL NO, CX-040000 TO RECEIVER*



,^4^ AIR SUPPLY SEE DETAIL NO CX-0100A0



RUN TO WITHIN G" OF FLOOR



RUN TO WITHIN 6" OF FLOOR



DETAIL "A" D/P CELL WITH MANIFOLD USING 1/2* TUBING



D/P CELL W/0 MANIFOLD USING 1/2" PIPE



SEE DETAIL NO, CX-040000



ITEM



DESCRIPTION



3-VALVE MANIFOLD 1/2* VALVE 1/4* VALVE



SPEC



ITEM



DESCRIPTION



SPEC



1/2"T. TEE 1/2-T. X 1/4-P. TEE



1/2T. X 1/2*P. ELBOW 1/2" TEE 1/4" PIPE 11 1/2* X 1/4* TEE 1/2" TUBING 12 1/2* PIPE 1/2" UNION 19 1/2" 90' ELBOW 1/2"T. X 1/2-P. COW. 17 ZNrnwvNTRrzcN xNrmiimoN ormn. THE RUST D/P CELL TRANSMITTERS ENGINEERING COTPflNY FOR LIQUID AND STEAM SERVICE



ITEM



DESCRIPTION



20



1/4" UNION 1/2" NIPPLE



21



SPEC



10



mritiat



n"*



CF-040001 BR 1983



Figure 1-30 Isometric mechanical drawing



14



Section



{Courtesy The Rust Engineering



Company)



BILL OF MATERIAL NO UNIT DESCRIPTION VALVE. VALVE. VALVE. VRLVE. VRLVE. VRLVE.



BALL. 8" ISO- ANSI RF FULL PORT. C S. BOLL. 4" 600* ANSI RF. C S. PLUG. 2 - 2000« UP. TmRD CHECK. • 600« ANSI RF. CS PLUG. 1" 2000* UP. ThRD RELIEF, rxr PULSATION OAHPNER (FLUIO KENE TICSHDISCH) PULSATION OAHPNER (SUCTION) FLANGE. 4" 600» ANSI RFUN U/BOL TS4GASKET FLANGE. 8" ISO* ANSI RFUN U/BOL TS&GASKE T FLANGE. 4" 1S0« RNSI RFUN U/BOL TS1GRSKET FLANGE. 2 1/2" 600«ANS1 RFUN U/BOL TS4GASKE T REDUCER. CONC. 8 - X4-. BFu. SCM 40 REDUCER. CONC. 3"X2 1/2". BFU. SCM 40 REOUCER. CONC. 4-X3-. BFU. SCh 40 UNION, r 2000* UP. FS. O-RING UNION. 2" 2000' UP. FS. O-RING SUAGE. 2 - X\ m FS. X-HVT. NPT .



ELBOU. TEE.



ELBOU. ELBOU.



2000- UP. 90". NPT 2000« UP. NPT



2"



2"



48'



90* 90'



LONG RADIUS BFU. SCH 40 LONG RADIUS BFU. SCM 40



TEE. I2-X12-X8". BFu. SCH 40 TEE. 6-X6-X4-. BFU. SCH 40 THREAO-O-LET 1" ON 4". 6000* FS TEE. 4-X4-X2 - BFU. SCH 40 PLUG. 1/2" 2000* HEX HEAD. FS. NPT FLANGE. BLIND. 4" 600« ANSI RF .



FLANGE. BLIND. 8" 150« ANSI RF PIPING. 8" SCH 40. A-I06 GR B PIPING. 4" SCH 40. R-106 GR B PIPING. 2" SCH 80. A-106 GR B PIPING. I" SCH 80. A-106 GR B NIPPLE. 2-X3" SCH 80. A-106 GR B. NPT NIPPLE. 1-X2" SCH 80. A-106 GR B. NPT THREPO-O-LET 1/2" ON 4". 6000* FS THREAO-O-LET 1/2" ON 8". 6000" FS PLUG. 1/2" 2000« HEX HEAO. FS. NPT THREAO-O-LET 2" ON 12". 6000« FS FLANGE. 3" 600- ANSI RFUN U/BOL TS4GASKET



ENGINEERING GZHPHICS,



I



INC. I



^£S£SJS



w»«!w?



PERIPHERAL WATER INJECTION DESCRIPTION:



FUTURE PUMP



Figure 1-31 Isometric piping schematic {Engineering



Regulation of Technical Drawings Technical drawing practices must be regulated because of the diversity of their applications. Just as the English language must have certain standard rules of grammar, the graphic language must have certain rules of practice. This is the only way to ensure that all people attempting to communicate using the graphic language are speaking the same language.



Standards of Practice A number of different agencies have developed standards of practice for technical drawing. The most widely used standards of practice for technical drawing and drafting are those of the U.S. Department of Defense DOD), the U.S. Military (MIL), and the American National Standards Institute (ANSI). The American National Standards Institute does not limit its activities to the standardization of technical drawing and drafting practices. In fact, this is just one of the many fields for which ANSI maintains a continuously updated set of standards. Standards of interest to drafters, designers, checkers, engineers, and architects are contained in the "Y" series of ANSI standards. Figure 1-32 contains a list of ANSI standards frequently used in technical drawing and drafting specifications. (



Graphics.



«3



PIPING



EG126



\nc.



What Students and



of Technical Drawing Drafting Should Learn



Many people in the world of work use technical drawings in various forms. Engineers, designers, checkers, drafters, and a long list of related occupations use technical drawings as an integral part of their jobs. Some of these people must be able to actually



make



be able be able



to read to



do



drawings; others are only required to



and interpret drawings; some must



both.



SIZE



AND FORMAT.



LINE



CONVENTIONS AND LETTERING— YI4 2



.YI4



I



PROJECTIONS



YI4.3



PICTORIAL DRAWING



YI4.4



DIMENSIONING AND TOLERANCING



YI4.5M



SCREW THREADS GEARS, SPLINES AND SERRATIONS



YI46



GEAR DRAWING STANDARDS



YI4.7.I



MECHANICAL ASSEMBLIES



YI4I4



Figure 1-32 Sample



list



YI47



of drafting standards



Introduction



15



The learning required of technical drawing students can be divided into three categories: fundamental knowledge and skills, related knowledge, and advanced knowledge and skills. In the "fundamentals" category, students of technical drawing and drafting should develop knowledge and skills in the areas of drafting equipment; such fundamental drafting techniques as line work, lettering, scale use, and sketching; geometric construction; mul-



LEARNING CHECKLIST FOR STUDENTS OF TECHNICAL DRAWING FUNDAMENTAL



RELATED



ADVANCED



KNOWLEDGE AND SKILLS



KNOWLEDGE



KNOWLEDGE AND SKILLS



DRAFTING EQUIPMENT FUNDAMENTAL DRAFTING



TECHNIQUES SKETCHING GEOMETRIC CONSTRUCTION MULT1VIEW DRAWING SECTION VIEWS GRAPHICAL DESCRIPTIVE



MATH WELDING SHOP PROCESSES MEDIA AND REPRODUCTION



DEVELOPMENT GEOMETRIC DIMENSIONING AND TOLERANCING THREADS AND FASTENERS



tiview drawing; sectional views; descriptive geometry; auxiliary views; general dimensioning;



SPRINGS



CAMS GEARS MACHINE DESIGN DRAWING



GEOMETRY



PICTORIAL DRAFTING



DRAFTING SHORT-CUTS CAD TECHNOLOGY CAD OPERATION



AUXILIARY VIEWS



GENERAL DIMENSIONING NOTATION



Figure 1-33 Checklist for students of technical drawing



What students of technical drawing and drafting should learn depends on how they will use technical drawings in their jobs. Will they make them? Will they read and interpret them? This textbook is written for students



and



in



the fields of engineering, design, drafting,



architecture,



among



others,



who must be



able



and interpret technical drawings. These students should develop a wide range of knowledge and skills, Figure 1-33.



In the "advanced" category, students of technical drawing and drafting should develop knowledge and skills in the areas of development, geometric dimensioning and tolerancing, threads and fasteners, springs, cams, gears, machine design drawing, pictorial



16



Section



CAD



technology



{Courtesy



drafting, drafting shortcuts,



and CAD/CAM tech-



nology and operations. The latter area represents a significant



change



in



techniques used to create,



maintain, update, and store technical drawings. Fig-



ures 1-34 and 1-35. Figures 1-36 through 1-40 contain examples of sev-



to make, read,



Figure 1-34 Modern



and notation.



the "related knowledge" category, students of technical drawing and drafting should develop a broad knowledge base in the areas of related math, welding, shop processes, and media and reproduction. In



eral different kinds of technical



the "real world" of drafting.



CADKEYl



drawings taken from



Figure 1-35 Modern



CAD



system



(Courtesy Autodesk,



Inc.)



BILL Or *ATERIftl DESIGN lENGT



Cvc *fac-io» o



MS



3



a



« q



3



3



5



i



a



a



tp *> ft pit



3/e



'







m.t



«i» IT*



1 "lb 'W ;H14



H-ll



'



!-:dfird VARIABLE DRRUING FORHflT variable /me, symbol, text parameters clear, concise- presentation of



shop drawing information degree of accuracy offsets, -^xlentions, witness lines, d r awng size and location show 1, 2, 3, or 4 beams pe* sheet with or wthout 81" of Mater a s plot or, preprinted sheets o* b'ank paper down to 816" X 11" can enlarge any portion r or sict variable variable



clarifica



1



il-lU



Mi



l



drrhing fehtures AOQjr/O.VAL FEATURES parameters stored for automated shop and accounting system interface f vll communication capabilities b lr totally mteractive-NO INPU T SHEETS



FLEXIBILITY-USER ORIENTED SOFTU»RE for site specie a'ieral'OTs the po*e calculating and graphics capabilities m simple routines suited r or their unique situations pe-form tedious aspects of deto



user



can combine



cveri'ght



tio">



from ^



--nat'on



symbols can be user defined o r standard



GRAPHICS SrSTEn complete,



fully interactive g'aphic capab'iit'es for edii'ng and creating non-standa r d



CONNECTIONS double



angle



bolted, shear



tab,



end



plate, or weld to embedded plate DESIGNED BY RISC CODE (eigth edition)



coping, and edge distances calculated automatically definable plate, angle, or bolt sue for intentional over design



blocking,



Figure 1-36 Structural steel drawing



{Courtesy



full,



state-of-the-art gr a p-



complete suppct a"a l"a system configuration fully upgradable r freedom from obsolescence



SIGMR DESIGN



c



PROVEN OVERALL PRODUCTIVITY



=



6



TO



1



Sigma Design)



Introduction



17



o



1



of the 1/2 scale, Figure 1-55.



Figure 1-56 Architectural scale



(full size)



Architect's Scale



The



architect's scale



large buildings



and



is



used primarily



structures.



The



for



drawing



full-size scale is



drawing smaller objects. Because is generally used for all types of measurements. It is designed to measure in feet, inches, and fractions of an inch. Measure full feet to the right of 0; inches and fractions of an inch to the left of 0. The numbers crossed out in Figure 1-56 correspond to the 1/2 scale. They can be used, however, as 6 inches as each falls halfway between full-foot divisions. Measurements from are made in the opposite direction of the full scale, because the 1/2 scale is located at the opposite end of the used frequently



2'-9"



DISTAN CE



1/2" - 1'-0"S



ZE



for



of this, the architect's scale



Figure 1-57 Architectura



-2.50"



scale, Figure 1-57.



DISTANCE FULLSIZE



10



Civil



A



civil



engineer's scale



The number



X is



also called a decimal-inch



located



in the corner of the scale Figure 1-58, indicates that each graduation is equal to 1/10 of an inch or I". Measurements are read scale.



10.



2



1



Engineer's Scale Figure 1-58



Civil



engineer's scale



in



directly from the scale. The number 20, located in the corner of the scale shown in Figure 1-59, indicates that it is 1/20 of an inch.



Using the same scale for civil drafting, one inch equals two hundred feet, Figure 1-60, and one inch equals one hundred feet, Figure 1-61. A metric scale is used if the millimetre is the unit of linear measurement. It is read the same as the decimal-inch scale except that it is in millimetres, Figure 1-62.



250.0' DISTANCE 1" -200.0'



20 3



)4



Figure 1-59



24 Civil



4



5



^ engineer's scale (half scale)



Chapter



I



39



Pocket Steel Ruler



DISTANCE



2.50"



1/2 SIZE



The drafter should make use of a pocket steel ruler. The pocket steel ruler is the easiest of all measuring tools to use. The inch scale, Figure 1-63, is six inches long, and is graduated in lOths and lOOths of an inch on one side and 32nds and 64ths on the other side. The metric scale is 50 millimetres long (approximately six inches) and is graduated in millimetres and half millimetres on one side, Figure 1-64. Some-



lllllllllllllll



20 2



1



4



3



5



*4



1



Figure 1-60 Mechanical scale (half



size)



times metric pocket steel rulers are graduated 64ths of an inch on the other side.



DISTANCE



250.0'



1" = 100.0'



in



Measuring The metric system uses the metre (m) as its basic A metre is 3.28 feet long or about 3 3/8



dimension.



10



1



1



inches longer than a yardstick.



H Figure 1-61



scale



Civil



multiples, or parts,



Its



are expressed by adding prefixes. These prefixes represent equal steps of 1000 parts. The prefix for a thou-



sand 1000) (



is



the prefix for a thousandth (1/1000)



kilo-,



One thousand metres



(1000 m), therefore, equals one kilometre 1.0 km). One thousandth of a metre (1/1000 m) equals one millimetre (1.0 mm). Comparing metric to English then: is milli.



(



63.5



mm DISTANCE FULL SIZE One



mm) =



millimetre (1.0



0.001 metre (0.01 m)



=



.03937 inch



One thousand (1.0m)=



millimetres



(



1000



One thousand metres 1000 m)= km) = 328 1.0 feet 1



Figure 1-62 Metric scale



nun iwii



liiiiiui1THE



10THS



I



No.



100THS



LS.STARRETT CO. ATHOL. MASS. U.S.A.



305R



(



/



\



\



TTT



4



J 32N0S 64THS 8



l6 ,



12



I



l fc



32



24



i



ii lii il



i 1 48 40 56



Figure 1-63 Steel scale (inch)



i



i



i



i



i



20 .,.28 28



ililililililililililil.lilililil.lilnil.li.il.lil.l.hl.lilih



mm



10



UN



|



4



|



li|i



I



li



|



il



[|i|i |



20



12



8



16



Section



I



1.0



kilometre



EMPERED



iiin]iii|iliH|ii'ii|iiii'|iiii'ii|i|i|'i'i'i



28 24 '24



4



48 5 6



8



I



I



J



1



16



24



J lllllrifllllll



20 Ill



'



20



12



40



48/



y



^r\



ihlililihlihlill



24 28 '



16



32



32 8



y



40 48



24



i



liikkl



'inlilrliliii



/lllllllllllllllllll



{Courtesy L. S. Starrett Co.)



30



40



lllllllllllll



Figure 1-64 Steel scale Imetricl Kourtesy



40



metre



nniiin



fj



|'|ipT|||||||||i|||ip|||iii|f|i|||||i|||'|||i|i|||i|i|i|i|i|i|ipi|i|



1/2 Tnm



1.0



k4iiiliii.UI.il



ikl.iiI)iiJi!iil.iiIii.lfl



W



I



K



mm) =



3.281 feet



L. S. Starrett Co.l



f



|M



1



,



l



l



iM^H iT MM iTiM l



120



130



l



,



l



,



l



iT i, ri iT'



l



l



iT



|l



l'r^



140



UJLL iiii illiliMi



illili 11J



(



1.0



Anvil



Measuring Faces



Spindle



Lock Nut



Thimble



Sleeve



Ratchet Stop



Figure 1-65 Micrometer (Courtesy L. S. Starrett Co.)



How in



To Read a Micrometer Graduated Thousandths of an Inch (.001")



A micrometer consists screw or spindle which



of a highly accurate



is



rotated



in



Example (See Figure



The



means



a fixed nut, thus



senting .025". Thus,



toward or away from the anvil face precisely 1/40 or .025 inch.



The reading



divided into 40 equal parts by vertical lines that correspond to the number of threads on the spindle. Therefore, each vertical line designates 1/40 or .025 inch and every fourth line, which is longer than the others, designates hundreds of thousandths. For example: the line marked " I" represents 100", the line marked "2" represents .200". and the line marked "3" represents .300", line



on the sleeve



is visible,



representing



3 x



visible,



.025"



=



each repre-



.075"



The



third line on the thimble coincides with the reading line on the sleeve, each line representing .001". Thus, 3 x .001" = .003"



of the thimble until the anvil



in the following paragraphs. Since the pitch of the screw thread on the spindle is 1/40" or 40 threads per inch in micrometers that are graduated to measure in inches, one complete revolution of the thimble advances the spindle face



on the sleeve



Three additional lines are



and spindle both contact the work. The desired work dimension is then found from the micrometer reading indicated by the graduations on the sleeve and thimble, as described



line



100"



ground



opening or closing the distance between two measuring faces on the ends of the anvil and spindle, Figure 1-65. A piece of work is measured by placing it between the anvil and spindle faces, and rotating the spindle by



I"



1-66):



The micrometer reading = .178"



An easy way ter



is



to



is



100"



remember how



+



.075"



to read a



to think of the various units as



if



+



.003"



microme-



you were mak-



ing change from a ten dollar bill. Count the figures on the sleeve as dollars, the vertical lines on the sleeve as quarters, and the divisions on the thimble as cents. Add up your change and put a decimal point instead



of a dollar sign in front of the figures.



is



THIMBLE



.



o



LO



and so forth. The beveled edge of the thimble is divided into 2 5 equal parts, with each line representing .001" and every line numbered consecutively. Rotating the thimble from one of these lines to the next moves the



_



spindle longitudinally 1/25 of .02 5" or .001 inch; rotat-



SLEEVE



ing two divisions represents .002".



and so



forth.



Twenty-five divisions indicate a complete revolution: .025 or 1/40 of an inch.



To read the micrometer the



number of vertical



by .02



5",



and



to this



in



READING



thousandths, multiply



divisions visible on the sleeve



add the number



of thousandths



indicated by the line on the thimble which coincides



Figure 1-66 Reading a micrometer



with the reading line on the sleeve.



[Courtesy



L. S. Starrett Co.)



Chapter



.178



Micrometers come



in



both English and metric



Microfinish



graduations. They are manufactured with an English size range of



inch through 60 inches,



1



size range of 2 5 millimetres to



micrometer



1



and



The microfinish comparator is a handy tool for the drafter to approximate surface irregularities. Various



a metric



500 millimetres. The and must be



kinds of microfinish comparators are available. Figure 1-69 illustrates a comparator for cast surfaces.



a very sensitive device



is



treated with extreme care.



Ellipses Instrument



Vernier Caliper



Two unique instruments are used to draw large An ellipsograph is shown in Figure 1-70A. The OvalCompass is shown in Figure 1-70B. With these tools, the height and width of the ellipse are measured, locked-in, and quickly drawn. A template is used to draw small ellipses.



Vernier calipers have the capability of measuring



ellipses.



both the outside and the inside measurements of an object. Figures 1-67



Comparator



and



1-68.



Use the bottom scale



when measuring an outside size. Use when measuring an inside size.



the top scale



USE BOTTOM SCALE AND VERNIER FOR OUTSIDE



MEASUREMENTS



Figure 1-67 Caliperoutside measurement



OUTSIDE MEASUREMENT USE TOP SCALE AND VERNIER FOR INSIDE



MEASUREMENTS



''I



'l l'-f'l'I'l t V Vl 'l'



1



'l



Figure 1-68 Caliperinside



measurement



42



Section



INSIDE



MEASUREMENT



1



m



GAR



:-9



ELECTROFORMING



CAST SURFACES OIE INVESTMENT •HELL MOLD CENTRIFUGAL - PERM. MOLD



8B-I20 60-200 120-300



20-300



PERMANENT MOLD NORMAL NON-FERROUS SAND NORMAL FERROUS GREEN SAND



60



200



120



300



DIV.



RMS



200



-



420



300-560 660-900



420



Figure 1-69 Microfinish comparator [Courtesy Electro fornung Div.,



-



GAR



Mite Corp.)



\m r



1



1



Figure 1-70A



IKvSc *?1



K^P^t



Ellipsograph



\Courtesy Omicron Co.)



Ink Tools Some



such as civil (map) drafting, drawings be done in ink. Some companies ink their drawings so that they can be reduced and filed on film. All artwork that is to be reproduced by camera, such as in the field of technical illustration, is done in ink. Ink drawing is no more difficult than fields of drafting,



require that



all



pencil drawing. Figure 1-7



I.



Technical Pens The key to successful inking is a good technical pen. Figure 1-72. Technical pens are produced in two styles.



Figure 1-70 B Oval compass



\Courtcsij



Oval Compass)



Notice the ends of the two pens in the figure: a tapered end. the other a straight end. The



one has



Chapter



I



43



KOH-I-NOOR



Figure 1-71 Technical inking pen



(Courtesy Koh-\-



Noor Rapidograph)



Figure 1-73 Revolving pen holder



{Courtesy Koh-\-



Noor Rapidograph)



Figure 1-72 Drafting and art technical pens {Courtesy Koh-\-Noor Rapidograph)



tapered pen is used primarily for artwork; the straight is used for drafting and mechanical lettering. Pens are available in various sizes and styles of pen-holder



end



sets.



Figures 1-73 and 1-74.



Technical pen points are manufactured of stain-



The stainless steel point on tracing paper or vellum. Tungsten points are long wearing for use on abrasive, coated plotting film or triacetate. Jewel points are used on a plotter that has a controlled pen force. Pen points are available in thirteen standard sizes less steel, tungsten or jewels. is



chromium plated



for use



of varying widths, Figure 1-75. For general drafting inking,



numbers



.45/



1



and



.



70/2'/2



are



recommended.



Cleaning Technical Pens Pens should be cleaned when they get sluggish or before storing them for long periods of time. The parts



most technical inking pens are similar to those shown in Figure 1-76. When not in use, technical pens of



44



Figure 1-74 Flat pack pen holder



{Courtesy Koh-\-



Noor Rapidograph)



should be kept in a storage clamp or else capped to prevent ink from drying in the point. If a pen does get clogged, remove the point and hold it under warm tap water. This normally softens the ink. If the ink has dried, use an ultrasonic cleaner or a mild solvent. If the pens will not be used for a week or more, all



Section



Hffek



18/4x0 25/3x0



.13/5x0



30/00



Figure 1-75 Pen sizes [Courtesy



35/0



.50/2



.45/1



80/3



.70/2'/?



1.0/3V*



12/4



14/5



2 0/6



Staedtler Mars)



Reservoir Pen



INK



CONTAINER—



i



PEN BODY







>



CLEANING NEEDLE



*— SPACER RING



LOCK RING







POINT SECTION



,



COVER OR CAP



^— NEEDLE RETAINER



Figure 1-76 Internal parts of a technical inking pen



be removed and the pens stored empty must be taken when removing and



ink should



and



replacing the cleaning needle. is



Immerse all body parts in a good pencleaning fluid or hot water mixed half with



Step 4.



clean. Care



used quickly and



An



ammonia.



ultrasonic cleaner



efficiently to clean technical pens,



Step



Figure 1-77.



When pens are to be cleaned by recommended steps:



5.



hand, use the



To



Step



1.



Unscrew and remove the knurled lock



Step



2.



Remove



Cleaning.



I



when cleaning Step Step



i



.



2.



pens. (Refer again to Figure 1-76.)



Remove



the cap and the ink container.



Soak the body



of the



ink container should also



dried



in



pen in hot water. The be soaked if ink has



3. After soaking, remove the pen body from the water. Hold the knurled part of the body with the top downward. Unscrew and remove the



Remove the end of the cleaning needle weight. Do not bend the cleaning needle



point section. or



it



will



break.



fill



the pen, follow Steps



spacer ring Step



3.



not Step



4.



Fill fill



it



in



I



5:



ring.



the ink container. Leave the place.



the ink container with lettering



more than \



ink.



Do



inch from top.



Hold the filled container upright and pen body into the container.



insert the



it.



Step



through



Filling.



following



Pens can be ruined by improper cleaning. Study Steps through 5 and follow them closely



Dry and clean.



Step



5.



Replace the knurled lock



ring.



Ink



A



must be used in techThe ink must be black



high-quality, fast-drying ink



nical



pens



for the best results.



Chapter



I



45



Mechanical Lettering Sets Lettering sets plates, Figure



come



in a variety



of sizes and tem-



contain a scriber, and various pen sizes and templates. 1-79. All sets



Scriber Templates Scriber templates consist of laminated strips with engraved grooves which are used to form letters. A



moving in the grooves guides the scriber pen (or pencil) in forming the letters, Figure 1-80. Guides for different sizes and kinds of letters are available for any of the lettering devices. Different point sizes are made for special pens so that fine lines can be used for small letters and wide lines for large letters. Scribers may be adjusted to form vertitracer pin



cal or slanted letters of several sizes



from a single guide by simply unlocking the screw underneath the scriber and extending the arms, Figure 1-81. One of the principal advantages of lettering guides is that they maintain uniform lettering. This is especially useful where many drafters are involved. Another important use is for the lettering of titles, and note headings and numbers on drawings and reports. Figure 1-77 Technical pen ultrasonic cleaner (Courtesy Keuffel



&



Letters used to identify templates are:



EsserCo.)



1



U = Uppercase L = Lowercase N = Numbers Thus, a template identified as 8-ULN inch high



case



and has uppercase and numbers.



(1/2"),



letters,



Tracing Pin Better,



means



letters



more expensive



it is



8/ 16



and lower-



scribers use a



double tracing pin, Figure 1-82. The blunt end is used for single-stroke lettering templates or very large templates that have wide grooves. The sharp end is used for very small lettering templates, doublestroke letters or script-type lettering using a fine



groove. Most tracing pins have a sharp point, but some do not. Always screw the cap back on the



unused end after turning the tracing pin to the desired tip. Be careful with the points as they will break if dropped and can cause a painful injury if mishandled.



Standard Template Figure 1-78 Drawing ink



Learning to form mechanical letters requires a shows a template having three sets of uppercase and lowercase letters. Practice forming each size letter and number until they can be made rapidly and neatly. Use a very light, delicate touch so as not to damage the template, great deal of practice. Figure 1-83



and erasable, and it must not crack, chip or peel. Figure 1-78. Keep inks out of extremely warm or cold temperatures. The bottles or jars should be kept airtight, and the excess ink should be cleaned from the neck of the container to keep it from drying in the cap. Inks in large containers should be transferred to smaller bottles or directly into pens, away from working areas



46



Section



1



to



avoid the possibility of spillage.



scriber or pen. Size of Letters



template



is



The



size or height of the lettering



called out by the



number used



on



a



to iden-



Figure 1-79 Lettering set Courtesy I



Keuffel



&



EsserCo.)



LOCKING SCREW



Figure 1-81 Scribers are adjustable



set. Sizes are in thousandths of an inch. A 100 inch high, or slightly less than an eighth of an inch: a *240 is .240 inch high, or slightly less



tify



each



# 100



is



.



than a quarter of an inch.



Figure 1-80 Forming letters with a scriber Koh-\-Noor Rapidograph)



(Courtesy



Another system to determine template size uses simple numbers. These numbers are placed above Chapter



1



47



fin



CAP INK



RESERVOIR



BLUNT POINT PEN SIZE



RED RING



SHARP POINT POINT



Figure 1-82 Double tracing pen



the



number



Figure 1-84 Ink pens used for lettering



16 to indicate the fraction height of the



For instance, the number 3 placed above the number 16 would read as 3/16 inch in height.



letter.



pen being used, and an adjustable pressure post screw with locking nut for controlling the amount of pressure at which the pen is set. The pressure post rides on the surface of the work when for securing the



and



use,



in



Pens



swivel knife.



There are two types of pens: the regular pen and



site



end



is



The



of the



used only



pen arm



the reservoir pen, Figure 1-84. The regular pen must



means



be cleaned after each use. The reservoir pen should be cleaned when it gets sluggish or before being



ages and angles desired.



stored for long periods of time. This procedure



used



the



same



as



it is



for the cleaning of technical



is



pens as



described previously



Butterfly- Type Scriber



butterfly-type scriber



shown



a delicate, precision tool that



in



does



Figure 1-85



its



is



job without



requiring any adjustments, repairs or maintenance.



The clear



plastic



ting chart



used



base of the scriber bears the setadjusting the pen arm for enlargements, reductions, verticals, and slants to be produced by tracing the engraved letters of a letter guide template. The pen arm of the scriber holds the pen accessories for the various jobs to be performed. The pen and the arm have a thumb-tightening screw device in



SPACE BARS



conjunction with the



marker at the oppo-



offers a concise, accurate



of setting the scriber for the various percent-



The tracing pin



is



the hardened tool steel point



letter. The tail pin serves as the pivot point for the triangular action of the scriber. This pin travels in the center groove of the template.



in



tracing the template



Operation of the Butterfly Scriber



Basic Parts The



in



bull's-eye setting



The butterfly scriber, a precision lettering tool, is the key to producing clean, sharp, controlled letter-



The setting chart, using the bull's-eye at the end pen arm for a marker, begins at the outer edge with a starting line marked "vertical.'' In this position, the scriber produces a vertical letter of normal size ing.



of the



with the template being used. To enlarge this set the bull's-eye at a position



letter,



above the 100 per-



cent intersection. At 120 percent, the scriber produces a letter 20 percent greater in height than it does at 100 percent. A reduction can be produced by setting the bull's-eye at a position below the 100



DOT ALSO USED FOR A DASH LINE



(-)



ABCDEF,GHIJKLMNOPQRSTUVWXYZa,abcdefghijklmnopqrstuvwxyz



ABCDEF,GHIJKLMNOPQRSTUVWXYZa,abcdefghijk!mnopqrstuvwxyz



ABQpEFjGHIJKLMNOPQRSTUVWXYZa^bcdefghijl



X



x ^GROOVED



LETTERS



Figure 1-83 Lettering template



48



Section



I



TAILPIN GROOVE



SCREW



HEIGHT ADJUSTMENT



PEN TIGHTENING SCREW PEN ARM. TRACER



TAIL



PIN



.L'S-EYE



RESULTS



ENGRAVED LETTERS__ TAIL PIN



A*M?



SLOT



Figure 1-85 Butterfly-type scriber [Courtesy Letterguide



\nc.)



CALIBRATIONS FOR ITALICS



CALIBRATIONS FOR HEIGHT VARIATION



percent intersection. Variations in height range from 100 up to 140 percent and down to 60 percent. The extreme settings produce condensed letters, and the intermediate settings produce headings, subheadall



sizes are easily



produced by setting



can be achieved. Figures



15-degree or 22 1/2-degree line, and at the desired percent of height of the letter on the template. Variations



may be produced



in slants



ranging from



degree to 50 degrees forward. Tracing the engraved template letter requires a very light and delicate touch. This results



and



less



in



more accurately traced



wear on the equipment. Each



cation requires



its



own



specific pen,



ure rendering, architectural rendering, and technical illustration.



There are two kinds of airbrushes: the and the double-action type. In the



single-action type



single-action airbrush, the trigger controls the flow



The



lettering appli-



the nozzle.



In



and



controls both the flow of air



place



and



Airbrush guns are used for such purposes as production designing, pictorial rendering, portrait fig-



of air only



will



spe-



Airbrush



letters



at the fingertips of the drafter the very best in stan-



many



1-88.



the bull's-eye on a line other than the vertical line. Normal slants or italics are produced in all height



adjustments by setting the bull's-eye on either the



for fast,



1-86, 1-87



Special Effects By using one's imagination cial effects



ings or large or small letters.



Slants in



dard typeface and hand-lettered alphabets easy rendering.



fluid control is adjusted in front by the double-action airbrush, the trigger



to be sprayed, Figure



and the amount



of fluid



1-89.



Figure 1-86 Adjustable scriber creates special effects (Courtesy Letterguide



Inc.)



Chapter



I



49



a ??">



:



I



ftEte



r



:



Lowercase letters



32) L



L^^



REVERSE Figure 1-87 Sample lettering styles {Courtesy guide



Letter-



\nc.)



3,



CO)



^



'--'= -"\



******



rarer Y®ft» IF,



Figure 1-88 Additional special effects



50



Section



(Courtesy Letterguide



\nc.\



1



.



Figure 1-89 Airbrush {Courtesy Badger Airbrush Co.



MILLIMETRES



INCHES



DIMENSIONS



SIZE



Figure 1-90 Paper sizes



A



1/2x11



SIZE



9x12



DIMENSIONS



C



17 x 22



18 x 24



A-2



210 297 420



D



22 x 34



24



36



A-1



594



E



34 x 44



36 x 48



A-0



841 x



B



8



11



x



17



12 x



x



A-4



18



A-3



x



x



297 420 594



x



841



x



1189



Paper Sizes Two basic standard paper sizes are 8 I/2 x II 9x12 inches. The basic standard metric



inches and



297 millimetres. See Figure 1-90. paper folded to A-size are shown in Fig-



size, A-4, is 2 10 x



Examples



of



ure 1-91.



Figure 1-91 Paper folded to A-size



Chapter



I



51



8.0











3.0



BSD



e



a



l



a



4



1



i



r



-ARROWHEAD AT CENTER OF EACH SIDE



-



3.0 c a d



i ZONE AS NOTED BELOW



\ 8.0 E i'



s



*



+







1



B



STANDARD BORDER SIZES DRAWING SIZE A C B D 1



A A



HORIZONTAL



8.5



.25



II



.0



8.5



.38



.38 .25



B C



II



.0



17.0



17.0



.38 .75



D



22.0



22.0 34.0



.62 .50 1.00



.50



VERTICAL



ll.



E



2AT4.25 2AT5.50 4AT2.75 4AT4.25 4AT5.50



2



AT 5.50



2AT4.25 4AT4.25 4AT5.50 8AT4.25



D.50 HORIZONTAL ZONE 7 C



VERTICAL ZONE



PAGE NUMBER ZONE IDENTIFICATION



SEE ZONE ABOVE Figure 1-91A Standard border sizes



52



Section



1



use of numbers running horizontally and letters running vertically in the margins. By extending these imaginary lines, the exact rectangular zone, Zone 7-C,



orders The location of the borders varies with each neet of paper, Figure



1-9 1A.



size



This chart indicates the



is



arious standard borders used today. A standard orizontal border is shown in Figure -9 IB. A stan-



located as



(



is



shown



in



in



Figure 1-9



1A.



See the corre-



sponding symbol below the chart. The number at the indicates the page number, the number at the left top right (7) indicates the corresponding number on the horizontal margin. The letter at the lower right (C) indicates the corresponding letter in the verti-



I



ard vertical border



shown



Figure 1-9 1C.



oning



1



)



cal margin.



Zoning is used to pinpoint a particular detail on a rawing. The exact rectangular zone is located by the



4 DESCRIPTION



MATERIAL SPECIFICATION



PARTS LIST UNLESS OTHERWISE SPECIFIED DIMENSIONS ARE IN INCHES TOLERANCES ARE FRACTIONS DECIMALS ANGLES



CONTRACT NO



APPROVALS



APPLICATION



00 NOT SCALE DRAWING



Figure 1-91 B Standard horizontal border



[Courtesy Bishop Graphics Co.



Chapter



53



APPLICATION DESCRIPTION



UNLESS OTHERWISE SPECIFIED DIMENSIONS ARE IN INCHES TOLERANCES ARE FRACTIONS DECIMALS ANGLES XX XXX



ccMifiuun s;



-



APPROVALS



SIZE



A DO NOT SCALE DRAWING



Figure 1-91 C Standard vertical border



Whiteprinter Many types



of whitepapers are available for use in



A whiteprinter. Figure 1-92. reproduces drawing through a chemical process. Most of these



drafting rooms. a



machines work on the same basic



A



principle. Figure



bright light passes through the translucent original drawing and onto a coated whiteprint paper. The light breaks down the coating on the whiteprint paper, but wherever lines have been drawn on the original drawing, no light strikes the coated sheet. 1-93.



54



Section



{Courtesy Bishop Graphics Co.



Then the whiteprint paper is passed through ammonia vapor for developing. This chemical developing causes the unexposed areas - those that were shaded by lines on the original — to turn blue or black. Most whiteprinters have controls to regulate the speed and flow of the developing chemical. Each type of machine requires different settings and has different controls. Before operating



read



all



any whiteprinter.



of the manufacturer's instructions.



Toda\ with the advent of new technology, copies made on an outprint printer. Figure 1-94.



are



I



'



^



Figure 1-92 Whiteprinter



(Courtesy Blu-Rau



\nc.



RACK-



EXPOSED TO AMMONIA



REMOVE ORIGINAL



(FACEUP)



^



ORIGINAL DRAWING I



I



I



I



1



1



WHITEPRINT PAPER (COATED SIDE UP) Figure 1-93 Whiteprinter process



Figure 1-94 Copier



(Courtesy



].



S. Staedtler Inc.



Chapter



I



55



Figure 1-95 Drawing Products



file



system



[Courtesy Safco



Inc.]



Files



Figure 1-96 Vertical drawing Products



A finished drawing represents a great deal of valuable drafting time and is. therefore, a costly investment. Drawings must be stored flat in a clean storage area. Figure 1-95. Vertical drawing storage is provided by hangers. Figure 1-96. Most engineering firms keep their files in fireproof and theftproof vaults.



Open-End Typewriter A word processor-equipped, open-end is



1-97.



Figure 1-97 Open-end typewriter \Courtesij



56



Diagram Corp.)



Section



file \Coiirtesy



Safco



mc.i



Care of Drafting Equipment Drafting tools are precision instruments,



proper care



will



ensure that they



and the



last a lifetime.



Plastic Tools typewriter



used to speed up the lettering process on



drawing. Figure



I



a large



Plastic drafting tools, such as T-squares, parallel



straightedges, templates



wiped immediately



and



triangles,



after use with a



should be



damp



cloth to



remove



may stain the tools or be Once a plastic instrusoap or ammonia solution



ink or graphite that



carried to the next drawing.



ment will



is



stained, a mild



dissolve



ful not



many water- and



O



o



O



o



oil-based inks. Be care-



to use a solvent such as paint thinner, lacquer



thinner or alcohol.



should be kept out of direct and away from warm surfaces to prevent them from becoming brittle, cracked, and warped. They should be stored in a flat position with cloth or paper between them to reduce scratching the surface. A great number of plastics are used in drafting instruments. Most are made from either styrene or acrylic plastic. Styrene is a more flexible and softer Plastic drafting tools



sunlight



plastic than acrylic.



harder, they are



Although acrylic instruments are to chipping. Because



more prone



both types of plastic are relatively soft, plastic drafting instruments should never be used for a cutting edge.



Compasses Almost all compasses are made of brass that is chrome- or nickel-plated. To clean these instruments, use a mild solution of soap and water to remove residue and dirt. Compasses should not normally need oiling, unless they are kept in a damp area which could cause rust. If



a



compass



is



soiling the next



oiled unnecessarily, there



drawing on which



it is



is



a risk of



used.



Wooden drafting furniture is cared for in the same manner as any other wooden furniture. It may be polished or waxed with ordinary products. Do not polish the insides of drawers or cabinets. These areas retain the wax.



which can then be transferred



to drawings. Steel furniture can



and then waxed. The gears and



be cleaned with soap and



joints



water,



on adjustable drafting tables



are lubricated at the factory, and generally do not require further oiling. Additional oiling increases the risk of getting oil or grease on a drawing.



The tops of most drafting tables are coated with a such as melamine or a phenol-laminate material. A glass cleaner or mild. ammonia solution



vinyl film



is



board drafting ious other ready-made appliques for creating printed



board artwork. Figure 1-98. These same matealso be used for a variety of tasks in other drafting fields, Figure 1-99. For example, architects use tapes for making lines and walls on floor plans. Transfer cards are used primarily as substitutes for mechanical lettering, but any type of symbol or frequently used piece of graphic data can be placed on a transfer card. Transfer cards are especially designed to fit against a parallel bar. drafting rule or other straight edge for ease of alignment. Symbols are transferred from the card by rubbing them with a circuit rials



Tables and Chairs



may



Figure 1-98 Tapes and pads for printed circuit



used to clean these surfaces.



may



blunt point. Dry transfer sheets are designed according to the same principles as transfer cards. The major differences are that transfer sheets are just that, sheets-not cards.



Dry transfer sheets are used a great deal



tends to



lift



The word



applique



is



a generic



term used to describe



a variety of shortcut products used in drafting.



These products include such items as tapes, pads, and var-



architec-



dry transfer material from the sheet.



addition, the material



Use of Appliques



in



and technical illustration. The transfer is made by rubbing the symbols on the sheet with a blunt, rounded point or a special burnisher. Dry transfer materials do have some drawbacks. The heat of ammonia-developing print machines



tural drafting



may



In



dry out and crack with age.



Use of Burnishing Plates Burnishing



is



another shortcut



graphic



for creating



symbology fast and easily, burnishing involves placing an especially textured plate under the drafting



Chapter



I



57



LINEX DIRECT



LETTERING ON DRAFTING SURFACES



INK



THE LINEX 801 SCRIBER DOES SCRlBER OUALITY LETTERING FRACTION OF THE TIME IT TAKES TO DO MANUALLY!



LETTERING FR0M=



°.



6)i 7)t



8)i 9) 10)



Chapter One



Problem



Problems



1-3



METRIC (FULL SIZE) MILLIMETERS



2) 3)



Problems metric



is



through



1-6



4)



line in inches, or in millimeters



5)



indicated. Neatly enter your answers on a sheet



6)



Carefully if



1-1



measure each



of paper. For extra practice,



measure each



line full size as



7)



given, half size as given, quarter size as given, or ten-times



8)



scale as assigned by the instructor.



9)



10)



Problem



1-4



FULL SIZE



n-



METRIC



(HALF SIZE)



MILLIMETERS



2)l)>-



3)*



2)4)'



3)5>-



4)6)>5)»7)-



9)>8'-



10)-



9)10)-



Problem



1-1



Problem



HALF SIZE



METRIC (QUARTER SIZE)



!-5



MILLIMETERS



D21



2)i-



3)



3)-



4)



4)-



5'



5)-



6)



6)t-



7)



7)»-



8:



B)



(



UNSTABLE POSITION POOR



Figure 4-29 Poor front view- unstable, too many hidden lines



Sketching Procedure Sketching should be done freehand, quickly, and only to an approximate scale. Do not take the time to make fancy sketches, and do not use any straightedges or compasses. Select the front view, and. using



Chapter



4



59



-



TOO MUCH WHITE SPACE



NO HIDDEN LINES



EVEN SPACING ALL



AROUND



_



.



N



I



\ 1



FRONT



SIDE



VIEW



SIEW



X



VERY STABLE POSITION



TOO CLOSE TO EDGE



WORK AREA



POOR



BEST



BEST Figure 4-32 Positioning the views within the work area



Figure 4-31 Best positionfront view the criteria previously outlined for the most important view, sketch it in position. Project upwardly to



make the top view, and



horizontally to



make



the right-



side view. Lightly draw the basic first,



and then add the



details



shape of each view to each view.



Centering the Drawing The drawing must be neatly centered within the work area of the paper or within the border, if one is provided. A full one-inch (25 mm) space should be placed between all views drawn, regardless of which scale is used. This space may be adjusted with increased experience, and as the demands of dimensioning are introduced. Figures 4-33 and 4-34 show



TOP VIEW



the procedures used to center a drawing within a specified work area. Given is an isometric view of



dimensions added. In this example, distance of the views (front view and side view) is determined by adding 4.0, the width of the front view, plus the 1.0 space between views, plus the 2.0 depth of the side view, for a total of 7.0 inches. See Figure 4-33. To center these two views 1.0, the width of the horizontally, subtract 7.0 from



the object with



the total



1



example work area. The answer



4.0 represents available extra space. This answer, or 4.0, is divided in two in order to have equal spacing on either side: refer to



dimension







2-



-'



cedure



is



followed.



f 'D'



The



total



vertical



same



basic pro-



distance of the



TOP VIEW 8.5



FRONT



SIDE



VIEW



VIEW



A BASIC SHAPES-



2.5



WIDTH o sp»>ce REO' D



4-.0



HE>6HT



O SPAC6- eWt> I. O bfcPTH I



ZO DEPTH 7.0 TOTftU



the



vertically,



T



D'-



2.5



I.



D.



To center the drawing



2.0



5)



all



horizontal



55



DiSTa,K>ce-



TOTAL ClSTAMCt



2 5



I



I



.O UJiDTH



- 7.o



ee



.



'



r



CUTTING-PLANE LINE (THICK LINE)



DIRECTION OF SIGHT



Figure 5-9 Section A-A added



ri SECTION ^INING



196



Section



2



SECTION



A-A



I



ipj



THIN LINE)



Figure 5-10 Pictorial view of the object



removed and the remaining section



is



viewed by the



direction of sight, Figure 5-12.



Notice that section lining



is



applied only to the



area the imaginary cutting plane passed through. The



back side of the hole and the back sides of the notches are



not



section lined.



Figure 5-



Offset Section



Many



do not fall in a do in a full section. These important features can be illustrated in an offset section by bending or offsetting the cutting-plane line. An off-



1



1



Imaginary cutting-plane line added



times, important features



straight line as they



set section



is



very similar to a



that the cutting-plane line



is



full



section, except



not straight, Figure 5-13.



Note that the features of the countersunk holes A, projection B with its counterbore, and groove C with a shoulder are not aligned with one another. The cutting-plane line is added, and changes of direction {staggers) are formed by right angles to pass



through these features. An offset cutting-plane line A-A is added to the top view and the material behind the cutting plane is viewed in section A-A, Figure 5-14. The front view is changed into an offset section, similar



to a full-sectional view.



The actual bends



cutting-plane lines are omitted



in



of the the offset section.



Figure 5-15. By using a sectional view, another view



may be omitted. In this example, the right-side view could have been omitted, as it adds nothing to the drawing and takes extra time to draw. often



GIVEN



L



T-l-T'



rrr TT±



Figure 5-12 Pictorial view of the



full



section



3



r*F?n



L.



r



Figure 5-13 Offset section



Chapter



5



197



Figure 5-14 Pictorial view of the offset section



7// OMIT



BEND



LIN ES



12& SECTION



A-A



NOT REQUIRED



Figure 5-15 Bends omitted from section view



Half Section GIVEN



:



In a half section,



and



the object



a quarter section



is



is



cut only halfway through



removed, Figure



5-16.



A cut-



one arrowhead to indicate the viewing direction. Also, a quarter section is removed and, in this example, the



ting plane



right side torial



5-18.



is



is



added



to the front view, with only



sectioned accordingly, Figure



5-17.



A



pic-



view of this half section is illustrated in Figure The visible half of the object that is not removed



and the removed half The half of the object not sectioned can be drawn as it would normally be shows the shows the



exterior



of the object,



interior



of the object.



drawn, with the appropriate hidden lines. Half sections are best used when the object



Figure 5-16 Given: Regular two views of an object



198



Section



2



metrical,



that



is,



the exact



same shape and



size



is



sym-



on both



T



Figure 5-17 Half section



SECTION VIEW (NO HIDDEN LINES)



REGULAR VIEW IHIDDEN LINE,



IF



NECESSARY)



SECTION



A



sides of the cutting-plane line. A half-section view is capable of illustrating both the inside and the outside of an object in the same view. In this example, the top half of the right side illustrates the interior: the bottom half illustrates the exterior. A center line is used to separate the two halves of the half section (refer back to Figure 5-17). A solid line would indicate the presence of a real edge, which would be false information.



Broken-out Section Figure 5-18 Pictorial view of the half section given:



Sometimes, only a small area needs to be sectioned order to make a particular feature or features easier to understand. In this case, a broken-out section is used. Given: Figure 5-19. As drawn, the top section is somewhat confusing and could create a question. To clarify this area, a portion is removed. Figure 5-20. in



SOMEWHA CONFUSING DIRECTION



OF SIGHT



Figure 5-19 Given: Regular two views of an object



Figure 5-20 Pictorial view of the broken-out section



Chapter



5



199



GIVEN



OF CUTTING PLANE ROTATION AT L INE OF SYMME TR Y



-AXIS



CUTTING-PLANE LINE NOT DRAWN



CUTTING PLANE Figure 5-22 Given: Regular two views of an object SECTION LINING ADDED TO BROKEN -OUT



AREA ONLY



A revolved section is made by assuming a cutting plane perpendicular to the axis of the feature of the



BROKEN LINE, THICK, PUT IN BY HAND Figure 5-2



1



should remain questionable, and a section through the center portion of the arm would provide the complete information.



object to be described, Figure 5-23. Note that the rotation point occurs at the cutting-plane location



Broken-out section



and, theoretically,



will



be rotated



90°. Rotate the imag-



inary cutting-plane line about the rotation point of



The finished drawing would be drawn as illustrated in Figure 5-21. The broken line is put in freehand, and is drawn as a visible thick line. The actual cuttingplane line



is



usually omitted.



the object, Figure 5-24. Notice that dimension X is transferred from the top view to the sectional view ot the feature; in this example, the front view. Dimension Y in the top view is also transferred to the front view.



Revolved Section (Rotated Section)



A



revolved section,



section, is



used to



sometimes referred



to as a rotated



illustrate the cross section of ribs,



webs, bars, arms, spokes or other similar features of an object. Figure 5-22 is a two-view drawing of an arm. The cross-sectional shape of the center portion of the arm is not defined. In drafting, no feature



The section



is



now drawn



in place.



The finished



drawing is illustrated in Figure 5-25. Note that the break lines in the front view are on each side of the sectional view, and are put in freehand.



The revolved section is not used as much today as was in past years. Revolved sections tend to be confusing, and often create problems for the people who must interpret the drawings. Today, it is recomit



mended



to use a removed section instead of a revolved or rotated section.



IMAGINARY CUTTING PLANE



Figure 5-23 Revolved section



200



Section



Figure 5-24 Pictorial view of a revolved section



2



.



ADD BREAK LINES BY HAND



SECTION



DO



A-A



NOT DRAW FEATURES OTHER THAN THE SECTION AREA



Figure 5-26 Removed section Figure 5-25 Revolved section view



Removed Section A



removed section



isverysimilartoa rotated section



except that, as the name implies, it is drawn removed or away from the regular views, Figure 5-26. The removed section, as with the revolved section, is also used to illustrate the cross section of ribs, webs, bars, arms, spokes or other similar features of an object. A removed section is made by assuming that a cutting-plane, perpendicular to the axis of the feature of the object, is added through the area that is to be sectioned. (Refer back to Figures 5-23 and 5-24.1 Transfer dimensions exactly as



was done



X and Y in



to the



removed



views,



the rotated section. Height



dimensions A and B, are transferred from the front view in this example. Note that a removed section must identify the cutting-plane line from which it was taken. In the sectional view, do not draw features other than the features, such as



Sometimes



removed section



is simply drawn on extended from the object, Figure 5-27. A removed section can be drawn to an enlarged scale if necessary to illustrate and/or dimension a small feature. The scale of the removed section must be indicated directly below the sectional view, Fig-



a



a center line that



is



ure 5-28. In



the field of mechanical drafting, the removed



section should be drawn on the



same



same page



as the



not room enough on the page and the removed section is drawn on



regular views.



If



there



is



another page, a page number cross reference must be given as to where the removed section may be found. The page where the removed section is located must refer back to the page from which the section is taken. For example, section A-A on sheet 2 of 4.



actual section.



Removed



sections are labeled section A-A, section .01



and so forth, corresponding to the letters at the ends of the cutting-plane line. The sections are usually placed on the drawing in alphabetical order from left to right or from top to bottom, away from the B-B,



X45° CHAMFER •R.OIO (MAX)



regular views.



SQUARE CROSS SECTION FOR THIS LENGTH



m Figure 5-27



DETAIL OF HOLE



SECTION



A-A (5 X SIZE)



Removed



section view



Figure 5-28 Enlarged removed section Chapter



t



201



SOLID BLACK



—n — — — i—



i



i



i



THIN SECTION







i



~



!



i



Figure 5-30 Thinwall section



an offset section, a half section or a combination of the various kinds of sectional views. The assembly section shows how the various parts go together. Each part in the assembly must be labeled with a name, part or plan number, and the quantity required for one complete assembly If the assembly section does not have many parts, this information is added by a note alongside each part. If the assembly has this example),



SECTION



A-A



Figure 5-29 Auxiliary section



Auxiliary Section If



a sectional view of an object



is



intended to



illus-



and shape of an object's boundary, the cutting-plane path must be perpendicular to the axis or surfaces of the object. An auxiliary section is projected in the same way as any normal auxiliary view, and it provides an option of orienting the cutting plane at any desired angle, Figure 5-29. trate the true size



Thinwall Section



Any very



thin object that



is



drawn



in section,



such



as sheet metal, a gasket or a shim, should be filled-in solid black, as it is impossible to show the actual section lining. This 5-30.



If



is



called a thinwall



section,



Figure



several thin pieces that are filled-in solid black



are touching one another, a small white space is between the solid thinwall section. Figure 5-3 1.



many parts, and there is not enough room to prevent the drawing from appearing cluttered, each individual part may be identified by a number within a The balloon callout system is table must be added to the drawing, listing the name, part or plan number, the quantity required for one complete assembly, and a cross reference to the corresponding balloon number. This is called a parts list. The exact form of the list varies from company to company. Figure 5-33 is an example of a parts list used with the balloon system of callouts. Notice that entries are sometimes listed circle called a balloon.



used



in



in this



example.



A



reverse (bottom to top) order, as illustrated.



left



Assembly Section When a sectional drawing is made up of two or more parts it is called an assembly section, Figure 5-32. An assembly section can be a full section (as it is in



SPACE BETWEEN PARTS



PARTS SOLID BLACK



-NOTE THINWALL SECTION



Figure 5-31 Space between thinwall sections



202



Section



2



Figure 5-32 Assembly section



given



/ '



5 4'



PIVOT PIN



A520O1



ARM







i



\



3



CENTER SHf^FT



f\\



\



2



B^S£ MMN F£P\N\e:



Cl



»



C\



i



z



615



i



6>Z4-



\



Figure 5-34 Given: Two-view drawing of an object



i



PART NO



TITLE



NO



6



I



:



NO REQ'D j



\



USUAL CALLOUT INFORMATION Figure 5-33 Example of a parts



list



Sections through Ribs or



Webs



True projection of a sectioned view often produces incorrect impressions of the actual shape of the object. Figure 5-34 has a given front view and a rightside view. 5-35.



A



Its



full



pictorial



view would look



like



section A-A would appear as



Figure 5-36. This



is



it



Figure 5-35 Pictorial view of an object



Figure



does



in



a true projection of section A-A,



as the cutting-plane line passes through the



rib.



However, such a sectional view gives an incorrect impression of the object's actual shape, and is poor drawing practice. It misleads the viewer into thinking the object is actually shaped as it is in Figure 5-37. The conventional practice used to illustrate this section is to draw the section view as illustrated in Figure 5-38, which is not a true projection. Note that the web or rib is not section lined. Some companies use another method to compensate for this problem. It is somewhat of a middle ground or a combination of true projection and correct representation, Figure 5-39. This nate section lining.



PICTORIAL VIEW



called



alter-



Section lining, over the rib or



web



is



SECTION



A-A



^-TRUE PROJECTION OF SECTION



Figure 5-36 True projection of an object



MISLEADING



drawn using every other section line, and the actual shape is indicated by hidden lines. However, most companies do not use alternate section lining. Another example of a cutting-plane passing through a rib or web is shown in Figure 5-40. This example is a true projection, but it is poor drafting practice, as section,



it



is



gives the impression that the center portion



is



mass. Figure 5-4 is drawn incorrectly, but does not give the false impression of the object's center portion. This is the conventional practice used.



thick, solid



PICTORIAL VIEW



a



Figure 5-37 True projection can be misleading



1



Holes, Ribs and Webs, Spokes



and Keyways Holes located around a bolt circle are sometimes not aligned with the cutting-plane line, Figure 5-42 The cutting plane passes through only one hole. This is a true projection of the object, but poor drafting practice. In actual practice, the top hole is theoretically revolved to the cutting-plane line and projected



SECTION LINING



^ SECTION



A-A



\- CONVENTIONAL PRACTICE



Figure 5-38 Conventional practice



web



or rib



not



-



sectioned



Chapter



5



203



to the sectional view, Figure 5-43. This practice



HIDDEN LINE A



called aligning



Ribs and Ribs or



Webs webs sometimes do not



cutting-plane



line,



A-A



align with the



Figure 5-44. The cutting plane pas-



ses through only one



SECTION



is



of features.



web and



only one hole. This



is



a true projection of the object, but poor drafting prac-



A



tice. In



^-ALTERNATIVE PRACTICE Figure 5-39 Alternate conventional



actual practice,



up



cally revolved



one



of the



webs



is



theoreti-



to the cutting-plane line



and pro-



jected to the sectional view, Figure 5-45. Notice that



practice CONVENTIONAL PRACTICE



TRUE PROJECTION



77?.



VO SECTION LINING



^-



SECTION



section



-*-Ja



ON WEB



A-A



Figure 5-41 Example of conventional practice



a-a



Figure 5-40 Example of true projection CONVENTIONAL PRACTICE



TRUE PROJECTION HOLE



SECTION



A-A



Figure 5-43 Holes using conventional practice (aligning of features)



Figure 5-42 Holes using true projection i



CONVENTIONAL PRACTICE



t-TRUE PROJECTION



A



HOLE



I



SECTION



Figure 5-44 Rib or



204



Section



2



web



A-A



using true projection



*Ja Figure 5-45 Rib or



web



using conventional practice



)



TRUE PROJECTION



^CONVENTIONAL \ PRACTICE



vzzzzzzi



I



KEYWAY INCLUDED I ROTATED



-NOTE, KEYWAY HAS BEEN OMITTED



z SPOKE



^~^~ .



SECTION



——•a



SECTION



A-A



A-A



Figure 5-47 Spokes and keyway using convenFigure 5-46 Spokes and keyway using true



tional practice



projection



is unaffected and is projected noranother example of aligning of features.



the bottom hole mally. This



is



preceding section. This procedure is used if the cutting-plane line cannot align completely with the object, as illustrated in Figure 5-48.



Spokes and Keyways Spokes and keyways and other important features sometimes do not align with the cutting-plane line, Figure 5-46. The cutting-plane line passes through only one spoke and misses the keyway completely. This also is a true projection of the object, but poor drafting practice. In conventional practice, spoke B is revolved to the cutting-plane line and projected to the sectional view, Figure 5-47. The keyway is also projected as illustrated. This is another example of



The arm or feature is now revolved to the imaginary cutting plane, and projected down to the sectional view, Figure 5-49. The actual cutting-plane line is bent and drawn through the arm or feature and then revolved to a straight, aligned vertical position. Notice that section lining is not applied to the arm, and is also omitted from the web area.



aligning of features.



Fasteners and Shafts If



in



Section



a cutting plane passes lengthwise through any kind



of fastener or shaft, the fastener or shaft



Aligned Sections



is



not



sectioned. Section lining of a fastener or shaft would



Arms and other alignment



in



similar features are revolved to



the cutting plane, as were spokes



in



the



have no interior



detail, thus



pose and only add confusion



it



would serve no pur-



to the drawing. Figure



IMA GINA RY CUTTING- PL



r-ARM NOT IN LINE



ANE



LI NE



&J



-ARM



1Mb



-«-H Till. (NO SECTION LINING)



Figure 5-48 Two-view drawing



Figure 5-49 Aligned section Chapter



5



205



Pi -ROUND HEAD



MACHINE SCREW



HEX HEAD CAP SCREW W/NUT



RIVET



SHAFT



-FASTENERS (RETAINING RINGS) Figure 5-50 Parts



not



TUBE



sectioned



The round head machine screw, the hex head cap screw w/nut, and the rivet are not sectioned. The



Intersections in Section



5-50.



other objects



in



the figure such as fasteners, ball bear-



and so



not sectioned. If a cutting-plane line passes perpendicularly through the axis of a fastener or shaft, section lining is added to the fastener or shaft. Figure 5-51. The end view has section lining added as shown. ing rollers,



forth, are also



Where an



intersection of a small or relatively unim-



portant feature



is



cut by a cutting-plane



drawn as a true projection, Figure



line,



it is



not



5-52. Since a true



projection takes drafting time, it is preferred that it be disregarded, and the feature drawn, using conventional practice, as



cedure



is



much



shown



in



Figure 5-53. This pro-



quicker and more easily understood.



45" PROJECTION



LINE



^SHAFT NOT SECTION LINED



END VIEW SECTION LINED SECTION



A-A



TRUE PROJECTION Figure 5-5



206



1



Shaft sectioned



Section 2



in



end view only



SECT ION



A-A



Figure 5-52 Intersection using true projection



.



3.



Are hidden lines used



in



a sectional view?



Why? 4.



Why



is



a



removed section sometimes drawn



at a larger scale? 5.



List the nine kinds of sectional views and describe the various features of each.



6.



What



is



alternate section lining?



Where



is it



used? 7.



List



two major functions of an assembly



drawing. 8.



Explain the practice used for drawing intersections of small or unimportant features that are cut by a cutting-plane line.



CONVENTIONAL PRACTICE 9.



Figure 5-53 Intersection using



What



kind of sectional view illustrates both



the exterior and interior of the object?



conventional practice 10.



What must be done



if



a



removed section



is



placed on another page other than the page on which the cutting-plane line is placed?



Review I



1



in 2.



1.



Explain the difference between true projection and conventional practice. Which is used a sectional view



and



ommended



a



removed



today?



section.



in



regard to a



dimension and perpendicularly to the center



and why?



of a fastener or shaft.



Explain the difference between a revolved section



Explain the two methods used



cutting-plane line passing through the long



Which



is



rec-



1



2.



What must be included



for each part in an assembly section? Explain the two methods used to accomplish this.



Chapter



5



207



Problem



5-1



Center three views within the work area, and make the front view a



full



section.



812



TOP/BOTTOM SIDES



Chapter Five



Problems



The following problems are intended ning drafter practice



in



to give the begin-



using the various kinds of sectional



Problem



As these are beginning problems, no dimensions will be used at this time. The steps to follow in laying out all problems in this



views used



chapter Step Step



1



in industry.



are:



Study the problem carefully



.



Problem



Choose the view with the most



2.



detail as the



Position the front view so there will be the least



3.



amount



ribs.



of hidden lines in the other views.



Make



Step 4.



5-2



Center two views within the work area, and make one view a full section. Use correct drafting practices for the



front view. Step



5-1



38,(TYP) 90'APART a sketch of



all



required views.



5. Determine what should be drawn in section, what type of section should be used, and where to



Step



place the cutting-plane



line.



Center the required views within the work area



Step 6.



with a 1-inch (25-mm) space between each view. Step



Use



7.



complete



Step 8. Lightly



Check



Step 9.



Do not



light projection lines. all



to see that



all



erase them.



0.88



THRU



views.



views are centered within



the work area. Step



1



Check



0.



to see that there



space between 1



Step



1



2.



Darken



Step



1



3.



Add



.



in all



is



a



1



-inch



(



2



5-mm



04 2.0



views.



Carefully check



Step



1



all



all



dimensions



in all



views.



views using correct line thickness.



a cutting-plane line



and section



lining as



required.



Problem 5-2



Recheckall work, and, if correct, neatly the title block using light guidelines and neat



Step 14.



lettering.



208



Section



2



fill



out



Problem



5-3



Center two views within the work area, and make one view a full section. Use correct drafting practices for the holes.



040 088, THRU



3X0.50, THRU EVENLY SPACED, 120" APART ON A 2.25 B.C.



03



Problem



5



5-4



Center the front view and top view within the work area.



Make one view



Problem 5-3



a



full



044



Problem



section.



^-03O,THRU



5-5



Center two views within the work area, and make one view a full section. Use correct drafting practices for the arms, horizontal hole, and keyway.



R



I0(TYP)



Problem 5-4 01.06,



THRU



2.0



88.TH



0.56, THRU



38



Problem 5-5



Chapter



5



209



Problem 5-6 Center two views within the work area, and make one view a full section. Use correct drafting practices for the keyway.



ribs,



and



holes.



30'



SHARP



3



RIBS/120 APART



RIB THICKNESS



375



,



3 REO'D.



1.25



3X0.5O,THRU 120° APART ON A



4.0



0.56



B.C



THRU



ALL UNMARKED RADIUS R



.12



Problem 5-6



Problem 5-7



Problem 5-8



Center three views within the work area, and make one view an offset section. Be sure to include three major



Center three views within the work area, and make one view an offset section. Be sure to include three major



features.



features.



2X 25, THRU 50.



^STh R 22(TYP.)



Problem 5-7



Problem 5-8



210



Section



2



THRU 09 T 3



•0 6, j



Problem 5-9



Problem



Center three views within the work area, and make one view an offset section. Be sure to include as important features as possible.



many



of the



5-1



I



Center two views within the work area, and make one view an offset section. Be sure to include as many of the important features as possible.



Problem 5-9



Problem 5-10 Center three views within the work area, and make one view an offset section. Be sure to include as many of the important features as possible. Problem



044



/-Q> 12, i_.



5-1



1



THRU 28 T 6



Problem 5-12 Center the front view and top view within the work area.



Make one view



ALL



UNMARKED RADIUS



=



a half section.



R3



Problem 5-10



375,



THRU



Problem 5-12



Chapter



5



211



BW Problem 5-13



Problem 5-15



Center two views within the work area, and make one view a half section.



Center two views within the work area, and make one view a half section.



(8)



TYP.



02.25



(O.D.)



-bio 50.THRU



2X



30



LINE)



(IN (O.D.)



-0 2.75



ALL



UNMARKED



RADIUS



=



R. 09



Problem 5-15



•0I6.THRU i_> 028 T 8



BOTH ENDS)



(



Problem 5-16



METRIC



Center two views within the work area, and make one view a half section.



Problem 5-13



I



75^



1.25



TYP.)



90* APART



56



THRU



Problem 5-14 Center the two views within the work area, and make



one view



a half section.



02.5



01.88



06 30



ALL UNMARKED RADIUS



R



13



Problem 5-16



Problem 5-14



212



Section



2



..







i



Problem 5-17 Center the required views within the work area, and make to illustrate the complicated



one view a broken-out section interior area.



-22-H 8 (— -12-1



1.512



R6



THRU



/T *



^



-i



— r--|



'



32



41



50 32



4C



062



*



025



Ki -^



50



R6-



METRIC



^3



-68-



88 Problem 5-17



Problem 5-18 Center the required views within the work area, and make one view a broken-out section as required.



020



0.625



375



OJ f\ .._.,_..



i



(25)



h3o-



.625



25



1



k E?



!



I



\



325 30« 1



±=h= 1.0—



1*0











J



I.



:06 X



45° CHAMFER



1.63I



75-



Problem 5-18



Chapters



213



Problem 5-19 Center three views within the work area, and add removed sections A-A and B-B.



2X0. 25, THRU



ALL UNMARKED RADII



=



R 125



Problem 5-19



Problem 5-20 Center two views within the work area, and add removed



R.88



sections A-A. B-B. and C-C.



R2.I25



.06X45°CHAMFER-h 0.38, T 1.38



Problem 5-20



214



Section



2



Problem



5-2



1



Center the required views within the work area, and add



removed section as required.



-0



^0 18, THRU



50



U032T9



(



BOTH ENDS)



Problem 5-21



Problem 5-22 Center the required views within the work area, and add



removed section as required. 01.5



,THRU



4X



1.81



18



,THRU



^?625 ALL UNMARKED RADII



R .06



Problem 5-22



Chapter



5



215



Problem 5-24



Problem 5-23 Center the required views within the work area, and add



removed sections A-A-and



Center the required views within the work area, and add



removed section



B-B.



A-A.



.375



ALL UNMARKED RADII



=



R .06



Problem 5-23



Problem



Problem 5-24



5-2 5



Center the four views within the work area. Make the top view section A-A and the right-side view section B-B.



ALL UNMARKED RADII



=



R .06



Problem 5-25



216



Section



2



!•



!



.375



Problem 5-26 R 75



Center the required views within the work area, and add



removed sections A-A and



B-B.



-0.50,



THRU



R 56



R 50



n— "^ :T



r



T



31



56



088



4 375



(5.375)



R



1.5



Tr 1.0



R.50-



4.5



0.06, THRU2.0



75 1



1



L .375



1.5



0.31 T 56



-*



ALL UNMARKED RADII



-2.0



=



R .06



Problem 5-26



2.50 01.25 *



Problem 5-27



U



THRU



88 f 50



/I



Center the required views within the work area, and add



removed sections A-A and



I



B-B.



2.00



-R Problem 5-27



ALL



UNMARKED



RADII



-R



06



Chapter



=>



217



Problem 5-28 Center the front view, side view and removed sections and C-C within the work area.



A-A, B-B,



3.125



1.50



-2.0 .21



—75-



T .75



:75—



2X



.28,



THRU



(IN LINE)



2.0



1.88



.25



1.375



.375



|



.50



j



50



-0.50, THRU u_i 01.25 X TI.0



'



1 t



'



SIDE VIEW



Figure 6-14 Given: Regular three views



Auxiliary Section jected



An iary



auxiliary section,



view



exactly as



as



in section. is



its



An



name



implies,



is



auxiliary section



an is



any removed sectional view, and



auxil-



drawn is



pro-



in



exactly the



Figure 6-16.



same way



as any auxiliary view.



the usual auxiliary view rules apply, and generally only the surface cut by the cutting-plane line



is



All



drawn. Chapter 6



23



r-



AUXILIARY SECTION VIEW



PARTIAL TOI



AUXILIARY VIEW



m&J FULL FRONT VIEW



PARTIAL



S IDE VI



EW



Figure 6- 15 Partial auxiliary views



FRONT VIEW



Half Auxiliary Views



SIDE VIEW



Figure 6-16 Auxiliary section



an auxiliary view is symmetrical, and space is it is permitted to draw only half of the auxiliary view. Figure 6-17. Use of the half auxiliary view saves some time, but it should only be used as a last resort, as it could be confusing to those interpreting the drawing. Always draw the nearest half, as shown in If



limited,



Review 1



What three purposes does an



auxiliary view



serve?



the figure. 2.



Name



3.



What must be done face



4.



HALF AUXILIARY VIEW



5.



7.



FRONT VIEW 8.



is



first



if



the projected sur-



round or has a radius?



Explain the use of partial views as used conjunction with an auxiliary view.



What in



6.



the three major kinds of auxiliary views.



is



in



the practice for the use of hidden lines



an auxiliary view?



How should the regular views and the auxiliary view be placed within the work area? Explain the use of a reference line. Where should it be drawn, and at what angle? Projection lines must be drawn at what angle



from the edge view?



U_ +



UiT



HALF BOTTOM VIEW Figure 6-17 Half auxiliary view



232



Section



2



9.



When and why



is



a half auxiliary view used?



10.



What



1



Explain the use of a secondary auxiliary view.



1



is



an auxiliary sectional view?



1



Problems



6-1



through 6-4



Draw the front view top view, right-side view and view Complete all views using the listed steps



auxil-



iary



Chapter Six



Problems



The following problems are intended to give the beginin sketching and laying out multiviews



ning drafter practice



Problem



6-



with an auxiliary view.



The steps



to follow in laying out



any drawing with an



auxiliary view are: i.



Step



2.



Study the problem



Step



carefully.



Choose the view with the most



detail as the



front view. Step



Position the front view so there will be the least



3.



number Step



of



hidden



lines in the other views.



Determine which view from which to project



4.



the auxiliary view. Step



Make



s.



a sketch of



views, including the auxil-



all



iary view.



Center the required views within the work area with approximately -inch |2^-mm] space between



Step 6.



I



the views. Adjust the regular views to



accommodate Problem 6-2



the auxiliary view. Step



Use



7.



light projection lines.



Step 8. Lightly



Check



Step 9.



complete



not



erase them.



views.



all



to see that



Do



all



views are centered within



the work area. Step 10. Carefully Step



1



1



.



Darken



check



in all



all



dimensions



in all



views.



views using correct line thickness.



12. Recheckall work. and. if correct, neatly fill out the title block using light guidelines and neat



Step



lettering.



Problem 6-3



Chapter 6



233



Problems 6-7 through 6-13 Draw the front view, top view, right-side view and Complete all views using the listed steps.



auxil



iary view.



R



1.2



5



(2.0)



Problem 6-4



Problems 6-5 and 6-6 Draw the



and tw and shape of the



Problem 6-7



front view, top view, right-side view



auxiliary views to illustrate the true size



slanted surfaces. Complete



all



views using the listed steps.



(2.25)



Problem 6-5



Problem 6-6



234



Section



2



Problem 6-8



Problem 6-9



2X



31



-THRU



225



Problem 6-10 Problem 6-13



0.75



Problem 6-14



THRU



Draw the surfaces.



and and shape of



front view, top view, right-side view



auxiliary views to illustrate the true size



Complete



all



two all



views using the listed steps.



01.5



Problem 6-11



r



2X 0.68 THRU



Problem 6-14



L



R 75 (TYP)



Problem 6-12



Chapter 6



235



Problems 6-15 through 6-22 Draw the required views to fully Complete all views using the listed



illustrate



each object.



steps.



0.62



THRU



R.56



Problem 6-15



(2.0)



Problem 6-16



ALL UNMARKED RADII, R.06



Problem 6-17



236



Section



2



2X



25 THRU



i_i0.5O T.I25



R



43 (TYP)



ALL UNMARKED RADII



,



R 38



R.O



R 88



Problem 6-18



4X0.313, THRU 4X 375, THRU



ALL UNMARKED RADII, R.06 Problem 6-19



Chapter 6



237



0.43 THRU



Problem 6-20



1.25



0.43.THRU l_i



0.75 ?.



18



ALL UNMARKED



3X R.50(TYP.)



Problem 6-21



238



Section



2



.31



,



THRU



RADII, R.06



R.50 (TYP)



0.75, THRU



Problem 6-22



Problems 6-23 through 6-29 Make



a finished



drawing of selected problems as as-



signed by the instructor. Draw the given front and side views,



add the top view with hidden



lines



if



right-



required,



assigned, design your



own



right-side view consistent with the given front view,



and



and add an



add



a



auxiliary view.



complete



If



auxiliary view.



Do



not add dimensions.



METRIC







H2-I



©ONLY



®



15



Ll2-|



®



Ll2-I



©



L— 036



®



Problem 6-23



Chapter 6



239



METRIC



M2-1



^24^1



1—30



A



©



®



©



Problem 6-24



f



ImetricI



7



n



D ONLY J



*



»•



r



12



/5 1



\



Riy



|



36



L /



1



R6



R24 \



1



^(2)0/ -@ONLY 60



-



"



H2-i



5



1© — 18—



©



Problem 6-25



METRIC



n



-7-—^



R



18



itit



r



1



36 4



/



L(C)@ ONLY f-



60







1—18



5







r— 24-



©



Problem 6-26



240



Section



2



©



©



METRIC



h" 24



JCk



30°



12



-



15*—



'



36



-22-



-J



K-22



J



H2H



®



©



®



®



Problem 6-27



METRIC



7



: .



tf



F



*



line to the



Figure 7-7 Skip-a-view



point.



Example:



when



To project a top view of a line from a given front



and



bR



right-side view.



oF



al R



F R



transferring



distances



Chapter



7



247



GIVEN T F



SKIP-A-VIEW



Figure 7-8 Locating line a-b



in



top view



view and line a-b in the right-side view, Figure 7-8. Extend projection lines into the top view from the end points in the front view, aF and bF. Find the distances X and Y from the line end points in the rightside view aR and bR to the frontal viewing plane at fold line F R and transfer them into the top view. Label all points and fold lines in



Figure 7-9 Line a-b



Given: Line a-b in the front



all



at



views. Be sure that all projections are made 90 = from the relevant fold lines, Figure 7-9.



in



the top view using the



fold line



front view, Figure 7- 10B. Project



it



over into the



X to find point points and fold lines in



side view. Transfer distance



a.



to always label



all



How Any its



all



right-



Be sure views.



To Find the True Length of a Line



line that



is



parallel to a fold line will



appear



in



true length in the next successive view adjoining



:hat fold line.



How A



To Locate a Point in Space (Right View)



point



in



exactly the



the point



projected and measured in in space, except that a line with a single end point. Figure



space



is



same way



is



To find the true length of any Step



i



.



Draw



line:



a fold line parallel to the line of which



is required. This can be done at any convenient distance, such as approximately



as a line



the true length



7-10A.



one-half inch.



Example: To project the right-side view of a point from a given top and front view.



Step



2.



Label the fold line



Step



3.



Extend projection lines from the end



"A" for auxiliary view.



points of the line being projected into the auxiliary view. These must always be at 90 to the :



Given:



Point a



in



the front view and top view



fold line.



(Figure 7-10A).



Project point aF from the front view into the rightside view. Point



aR must



lie



on



Step



4.



Transfer the end point distances from the



second preceding view from the one being drawn, to locate the corresponding end points in the view being drawn. fold line in the



this projection line.



Find X, which is the distance from fold line FT to aT in the top view and project it into and through the aT



a



x



given: T F



T F 1



+



aF T



aR SKIP- A -VIEW



fIr



Figure 7- 10A Locating a point in



248



Section 2



space



(right view)



Figure



7-



10B Step



1



h



given:



Step



oT,



i



Draw



.



a fold line parallel to line a-b,



and



B. Extend light as shown in Figure 7projection lines at 90° to the fold line from



label



it



1



I



points a and b into the auxiliary view.



bT







2. Determine distance X and Y from the front view to the near-fold line and transfer them into the auxiliary view, as shown in Figure 7-1 1C. Label all points and fold lines. The result



Step



bF



bR



be the actual true length of



will



Use these steps to



How Figure 7- 11A Finding the true



line a-b.



find the true length of



any



line.



To Construct a Point View of a Line



To construct a point view of a



line:



length of a line Step



l



Step



Find the true length of the



.



Draw



2.



line.



a fold line perpendicular to the true



length line at any convenient distance from either Step



end of the true length



line.



Label the fold line A-B (B indicates a sec-



3.



ondary auxiliary



view).



FOLD LINE PARALLEL TO LINE



bR-aR



Step



Extend a



4.



light projection line



from the



true length line into the secondary auxiliary view. Step



oR



\a FT



projection Z.//V£



Transfer the distance of the line



5.



end points



secondary auxiliary view (B) from the corresponding points in the second preceding into the



view.



Figure 7-1 IB Step



Example: Refer to Figure



7-



1



2A.



bT,



Line a-b



Given-.



in



auxiliary view.



bT



the front view, side view, and is located in the



The true length



which is projected from the front view. (The true length could have been projected from any of the given views.)



auxiliary viewing plane (A),



TRUE LENGTH



At any convenient distance from either end. draw a fold line A/B perpendicular to the true length of line a-b. This will establish a



Step



1



.



viewing plane that



is



perpendicular to the direcExtend a projection line



tion of the line's path.



SKIP-A-VIEW



Figure 7-1 1C Step



aligned with the true length line into this



new



2



GIVEN Example: Refer to Figure 7-1 A. I



Line a-b in the front view, side view, and top view. The problem is to find the true length of line a-b. A true length can be projected from any of the three principal views by placing a



Given:



fold line parallel to the line in



right-side



view



is



selected



any view. The example.



in this



Figure 7-12A Constructing a point view of a line Chapter



7



249



Step



Project a secondary auxiliary view (B) to



2.



find the point view of the line,



TRUE



LENGTH



point into the



same



and project the



view.



3. The observable distance between the end view of the line and the point will be the actual distance between them. The location in the line that is nearest to the point is on the path that is perpendicular to the line from the point. but this is not discernable in the secondary



Step



\^9C



:



°



A



Figure 7-12B Step



auxiliary view.



1



bA



Example: Refer to Figure 7-13A.



Line a-b and point c



Given:



in



the front view and



right-side view.



Step



1



Project the true length of line a-b by plac-



.



ing a fold line parallel to a given view of the line,



left



the auxiliary view.



the second preceding view. Label and all points. Figure 7-13B.



2



Step



secondary auxiliary view. The projection lines from both points a and b appear to align in this common projection line. Therefore, both points a and b must be located on this projection line in the secondary auxiliary view. In Figure 7-12B, the fold line A B was added to the



c into



Recall that point locations are transferred from



-POINT VIEW(PM) OF LINE a-b Figure 7-12C Step



and project point



2.



Draw



all



fold lines



a fold line perpendicular to the true



length of line a-b. and label the fold



line. Pro-



secondary auxiliary view IB) to find the point view of line a-b. Project point c along into the secondary auxiliary view IB). The actual distance between the point view of line a-b B and point cB is evident. Figure ject line a-b into the



of the true length line a-b.



7-13C. Step



The



2.



front view



is



the second preceding



view to the secondary auxiliary view being constructed. Therefore, distance X in the front view from the fold line T A to line a b is transferred to the secondary auxiliary view from the fold



A



B. Figure 7- 12C. As points a and b in the view are both at the same distance from the fold line T A. and they both lie on the same projection line in the secondary auxiliary view



line



front



to coincide at the same locaprovides evidence that the end view of the line has been achieved.



they



will



appear



Figure 7-13A Finding the true distance between a line



tion. This



in



and



a point



space



f R



oA



How



To Find the True Distance Between a Line and a Point in Space



/



TRUE



LENGTH



The true distance between a line and a point in will be evident in a view that shows the end point of the line and that point simultaneously. space



Step



1.



Project an auxiliary view iviewing plane A)



to find the true length of the line,



the point into the



250



Section



2



same



view.



and project



SKI P-A- VIEW



fI,



Figure 7-13B Step



How



To Find the True Distance Between Two Parallel Lines



appear needed to show the end view of both lines simultaneously, where the real distance between them will be apparent. If



two



lines are actually parallel, they will



A view



parallel in all views.



Step



i



is



Find the true length of each of the two Projecting a view that will provide the



.



lines.



true length of a line will automatically provide



FlR



-TRUE DISTANCE



FROM POINT



LINE o-b



the true length of any other parallel line that



projected into the



AND



same



is



view.



c



Step



Figure 7- 13C Step



2



Find the point view of each of the two Projecting a view that will provide the



2.



lines.



The location in the line a-b that is nearest to point c lies on a path that is perpendicular to line ab and passes through c. Any path that is perpendicular to a line will appear perpendicular in a view where the line is true length. Therefore, the path can be drawn in the preceding view to locate point p on the line. Point p can be projected to its correct location on the original views of line a-b.



end view of a line will automatically provide the end view of any other parallel line that is projected into the



same



view.



The true distance between the parallel is the straight-line path between their end points. There is no single location within the length of the lines where this occurs, as each



Step



3.



lines



location in a line has a corresponding closest point location on the other line, each on the



path connecting them and perpendicular to



given:



their respective lines.



Example: Refer to Figure 7-I4A.



The



Given-.



and c-d, in and a top view.



parallel lines a-b



view, right side view,



a front



i .



Step



Find the true lengths of line a-b and line



1.



c-d in auxiliary view A. will



also be parallel



2.



Draw



The two



parallel lines



the auxiliary,



if



they are



See Figure 7-I4B.



actually parallel. Step



in



a fold line perpendicular to the true



and



length lines, a-b



c-d. Project



the lines into



the secondary auxiliary view (B) to find the



Figure 7- I4A Finding the true distance between



two parallel



lines



point view of the two lines a-b and c-d. Measure the true distance between the point views of lines a-b/B and c-d/B. See Figure 7-I4C. TRUE DISTANCE BETWEEN LINES 0-bB AND c-d B



,a-b B



oT



F



SKIP -A-VIEW



Figure 7-14B Step



Figure 7-I4C Step



R



2



Chapter



7



251



How



To Find the True Distance Between Two Nonparallel (or Skewed) Lines



two lines are not parallel, they will appear nonparallel in at least one view. It is wise to first check two nonparallel (or skewed) lines to determine if they actually intersect, which would make the distance between them to be zero. This can be verified by projecting the apparent point of intersection of a view to the adjoining view. If the apparent points of inter-



3. Measure the true distance between the point view line at a location that is perpendicu-



Step



lar to



the other



line.



If



section align, then the lines actually intersect. parallel lines: i



.



two



and project the other



auxiliary view Step



2.



1



Nonparallel lines a-b and c-d view and right-side view.



Given-.



Step



1



one



of the



line into that



(A).



Find the point view of the true length



and project the other



line into that



line,



secondary



in a front



Project the true length of line a-b in an



.



(A),



and project



line c-d



along



into that auxiliary view. Figure 7-15B. Notice



that c-d



Project the true length of either lines,



Refer to Figure 7- 5A.



auxiliary view



To determine the true distance between two non-



Step



Example:



is



not the true length.



2. Project the point view of line a-b into the secondary view (B)and project line c-d into this view. Measure the true distance between the point view of line a-b/ B, perpendicular from



Step



line c-d CON ICAL TAPE R U--* ARC LENGTH SR SPHE RICAL RADIUS S0 SPHERICAL DIAMETER



^



ExU BASIC DIMENSION Figure 9-30 Geometric breakdown of an object



3



30



Section



2



Figure 9-31



Dimensioning symbols



1



-



Dimensioning Chords, Arcs, and Angles Chords, arcs, and angles are dimensioned in a When dimensioning a chord, the dimension line should be perpendicular and the extension lines parallel to the chord. When dimensioning an arc. the dimension line runs concurrent with the arc curve, but the extension lines are either vertical or horizontal. An arc symbol is placed above the dimension. When dimensioning an angle, the extension lines extend from the sides forming the angle, and the dimension line forms an arc. These methods are illustrated in Figure 9-32. Figures 9-33 and 9-34 contain additional information relative to dimensioning angles. Notice in Figure 9-33 that angles are normally written in degrees, minutes, and seconds. The symbols used to depict degrees, minutes, and seconds are also shown in this figure. Angular measurements may also be stated in decimal form. This is particularly advantageous when they must be entered into an electronic digital calculator. The key to converting angular measurements to decimal form is in knowing that each degree contains 60 minutes, and each minute contains 60 seconds. Therefore to convert a similar manner.



CHORD



ARC



ANGLE Figure 9-32 Dimensioning chords, arcs, and angles







15'



DEGREES



I



30" SECONDS



MINUTES



(DECIMAL FORM)



measurement stated in degrees, minutes, and seconds into decimal form is a two-step process. Consider the example of the angular measurement 2 degrees, 15 minutes, and 30 seconds. This measurement would be converted to decimal form as follows: The seconds are converted to decimal form by dividing by 60. Thirty seconds divided by 60 equals .50. The 15 minutes are added to this so that the minutes are expressed in decimal form or 15.50.



Step



»iH



0* 32'



ANGLE DRAWN EXAGGERATED FOR CLARITY l50'-28'



i



.



2. The minutes stated in decimal form are converted to decimal degrees by dividing by 60. The number 5.50 divided by 60 equals .25833. The 2 degrees are added to this number to have the measurement stated in decimal form or 2.2 583 degrees. Figure 9-34 illustrates



Step



1



WHIM,



how



angles can be dimensioned for size and The size dimension gives the overall size of the angular cut. However, it does not locate the angular cut in the object. This is location.



Figure 9-33 Dimensioning angles



done by using



a locational dimension off of the



center line of the object. Figure 9-3 SIZE DIMENSION



5



shows







r 1



LOCATION DIMENSION



\]



1











Figure 9-34 Dimensioning angles







^



OR'



^



-



,



^1



Figure 9-35 Using normal linear dimensions for effecting the proper angle



Chapter 9



331



how normal



linear



dimensions can be used



effecting the proper angle.



When



this



for



method



used in the example on the left, all surfaces are dimensioned except the angular surface. When this method is used the angular surface is defined by default. In the method on the right, three linear dimensions and one angular dimension define the angular surface. is



is the case, the radius dimension line should be foreshortened and the radius center located using coordinate dimensions. This is done by relocating the arc center and placing a zig-zag in the radius dimension line, as shown in Figure 9-37. When this method is used it is important that the arc center actually lie upon the real center line of the arc.



this



Dimensioning Curved Surfaces



Dimensioning a Radius Dimension lines used to specify a radius have one arrowhead, normally at the arc end. An arrowhead should not be used at the center of the arc. Where space permits, the arrowhead should be placed between the arc and the arc center with the arrowhead touching the arc. If space permits, the dimension is placed between the arc center and the arrowhead. If space is not available, the dimension may be placed outside the arc by extending the dimension line into



Curved surfaces containing two or more arcs are dimensioned by showing the radii of all arcs and locating the arc centers using coordinate dimensions.



Other radii may be located using their points of tangency This method is illustrated in Figure 9-38.



CORRECT SWING POINT OFF PAPER



The arc center of a radius is denoted with a small cross. Figure 9-36 illustrates the preferred



a leader.



method



for



dimensioning a radius.



Dimensioning a Foreshortening Radius On occasion the center of an arc radius will fall outside the drawing or will be so far removed from the drawing as to interfere with other views. When



MOST RADIUS DIMENS



ION



ARROWHEADS ARE PLACED INSIDE THE RADIUS EXCEPT FOR SMALL RADIUS



BOTTOM LEG POINTS TOWARD CORRECT SWING POINT



^ PAPER



SIZE



INCORRECT SWING POINT ON PAPER



*-



PAPER SIZE



Figure 9-37 Dimensioning a foreshortening radius



R XX



R XX



SMALL RADIUS or as a note placed above title block-,



note: all unmarked radii



r.xX'x



Figure 9-36 Dimensioning a radius



332



Section



Figure 9-38 Dimensioning curved surfaces



2



-



Dimensioning Offsets dimensioned from the points of interone side of the object. Figure 9-39. The distance from one end of the offset Offsets are



section of the tangents along



to the intersection is specified with a coordinate dimension. The distance from the other end to the offset is also specified with a coordinate dimension,



as



shown



in



DA TUNIS



Figure 9-39. STATION



Figure 9-4



1



2



1



X



1.12



2 12



Y



1.75



1



.50



4



3 3 oo! 3 1.12



]



62



.75



5



400 .31



Dimensioning contours not defined as arcs



SWING POINT



Dimensioning Multiple Radii Figure 9-39 Dimensioning offsets



When dimensioning an



object that requires sev-



should be dimensioned showing the radius in a view which gives the true shape of the curve. The dimension lines for a radius should be drawn as a radial line at an angle, rather than horizontally or vertically. Only one arrowhead is used. The dimensional value of the radius should be followed by a capital "R" when dimensioning in the decimal-inch system. The "R" precedes the dimensional value when dimensioning in the metric system. This method is illustrated in Figures 9-42. 9-43. and 9-44. Notice in Figure 9-44 that where a radius is dimensioned in a view that does not show the true radius, a note should be used to indicate that the true radius is not shown, and a separate note used eral radii, arcs



Dimensioning Irregular Curves You have already seen in Figure 9-38 how to dimension curved surfaces using arc centers, radius dimensions, and tangent points. Irregular curves may also be dimensioned using coordinate dimensions from a specified datum. When this is the case the coordinate dimensions extend from a common datum to specified points along the curve, Figure 9-40.



to indicate



what the true radius



is.



Figure 9-40 Dimensioning irregular curves



Dimensioning Contours Not Defined as Arcs Contours not defined as arcs can be dimensioned by indicating X. Y coordinates at points along the surface of the contour. Each of these points, sometimes referred to as stations, is numbered. The X and Y coordinates for each station are tabulated and placed in table form under the drawing. Figure 9-41.



HT TANGENT POINTS



Figure 9-42 Dimensioning multiple



radii



Chapter 9



333



'



J



.



-CENTER LINE -



i



\



DATUM



.



/



.



\ OBJECT



i-



Figure 9-46 Dimensioning by offset



(flat



object)



Dimensioning Spheres



DATUMS Figure 9-43 Dimensioning multiple



TRUER



radii



88



Figure 9-47 illustrates the proper method for dimensioning spheres. The diameter method is used when the sphere is shown in plan. When this is the case, a leader points to the center of the sphere, and the diameter note is preceded with a capital "S" to a spherical diameter. When the used, a dimension extends from the arc center to the arc and is extended on with a leader, and the note is preceded by a capital "SR"



indicate that



NOT TRUE RADIUS I— AS SHOWN INCLINED SURFACE



radius



it



method



is



is



to indicate a spherical radius.



Figure 9-44 Dimensioning multiple radi



Dimensioning by Offset Round Objects) (



SR 62



Another way to dimension a round object is the offset method. In this method, dimension lines are used as extension lines. Dimension lines are distributed across the object perpendicular to the center line of the object



H



and spaced using coordinate



dimensions, Figure 9-45.



^^^—



DIAMETER-



-CENTER LINE DA TUM



RADIUS



Figure 9-47 Dimensioning spheres ROUND OBJECT



Dimensioning Round Holes Figure 9-45 Dimensioning by offset (round object)



Dimensioning by Offset



(Flat Objects)



Round holes are dimensioned in the view in which they appear as circles, Figure 9-48. Holes may be dimensioned using a leader which points toward the center of the hole in which the note gives the diameter, or extension lines may be drawn from the circle with a dimension that also indicates the diameter. Larger circles are dimensioned with a dimension



offset



may also be dimensioned using the method. Again, dimension lines on the object become extension lines. Dimension lines are spaced across the object perpendicular to the center line of the datum and extended to become extension lines for the coordinate dimensions which space them,



line drawn across the circle through its center at an angle with the diameter dimension shown. Except for very large holes, the arrowhead and the dimensional value are placed outside the hole. It is important when dimensioning holes to call off the diameter,



Figure 9-46.



not the radius.



Flat objects



334



Section



2



XX



make the rough hole and then reamed to refine the hole. Figure 9-49 shows the difference between a drill and a ream. No hole is only reamed. A hole to



ARROWHEAD POINTS TOWARD CENTER



must be



-OR-



drilled before



A through-hole



can be reamed.



it



callout has a leader line extending



toward the center of the hole 0.XX



in



the view



in



which



The note attached to the leader gives the diameter of the hole, the depth symbol, and the word 'thru'' to indicate that the hole



the hole appears as a ARROWHEAD POINTS TOWARD CENTER



rules



circle.



passes through an object. Blind-hole callouts are similar to through-hole callouts. except that the depth symbol is followed by the actual depth of the hole.



:



most diameter dimensions place arrowhead outside hole — except for large diameter



always call off diameter size not radius size Drill



Size Tolerancing



Holes are not drilled to the exact size specified on is because there are several factors which mitigate against a perfectly sized hole. The accuracy of the actual drill, the tolerance level of the machine, and the qualifications of the machinist all have an impact on the actual size of a hole once it's drilled. It is accepted in manufacturing that no hole, even with the added accuracy provided by computeraided manufacturing, is going to be drilled exactly the size specified. Therefore, drafters and engineers need to know how much variation to expect in a hole so that they can decide what limits to give the hole and whether the actual drilled hole will give the fit



a drawing. This



LARGE DIAMETER



Figure 9-48 Dimensioning round holes



required



Simple Hole Callouts



a given situation.



in



tolerance charts have been developed to assist drafters and engineers in determining the expected upper and lower limits of a drilled hole. Such charts are contained in Appendix B as Table Drill size



Drafters and engineers need to know how to apply simple callouts to both through-holes and blindholes. A through-hole is one which passes all the way through the object. A blind-hole is one which cuts into but does not pass through the object. Both types of holes, and the callout used for each, are illustrated in



16. Turn to these tables and you will notice that the standard drill size is given a number/letter, a fractional designation, a decimal designation, and a metric designation. To the right-hand side of the table



Figure 9-49. Machine holes are generally drilled



REAM



DRILL



THROUGH HOLE 50



1



THRU



—N^



(



BLIND HOLE 50 Z



I



12



Figure 9-49 Simple hole callouts



FULL



DEPTH



v



I -ALL REAMED HOLES MUST BE DRILLED FIRST -



.



.



t



00 HOT CA-LOUT MACHINE



PROCESS



i



E



ORILL.REAM



ChapterQ



335



the tolerance for each



drill size is



given



in



decimals.



THRU



Find the letter or number of the drill in question on the left-hand side of the table.



ALWAYS ADD DIMENSIONS, SIZE AND /- LOCATION, TO PROFILE DEFEATURE



/



h xp



apply the following steps: 1.



S 7



\



The left-hand column is the plus tolerance, and the right-hand column is the minus. To use these tables,



I



L t



CORRECT 2.



Find the corresponding size for the



drill in



decimal form. 3.



DO NOT DIMENSION TO A HIDDEN LINE OR A CEN TER L INE OF A HIDDEN FEA TURE



Find the plus tolerance for that size drill and it to the decimal drill size. This will give you the upper limit for the hole size.



S 7



THRU



add



4.



Find the minus tolerance for that drill size and it from the decimal drill size. This will give you the lower limit for the hole. subtract



5.



INCORRECT IF



„ c t -ruo.i r«SITHRU



Write the upper and lower limits with the



NECESSARY CHANGE VIEW



TO A FULL- SECTION VIEW



number on top separated from the number by a horizontal line. For exam-



smaller larger



ple, an H-size drill has a decimal diameter of 0.2660. To find the upper limits for a hole



using this



drill size,



add the plus tolerance



0.0064 to this decimal



drill size



of



to get 0.2724



CORRECT



as the upper limit for the hole. To find the



lower limit, subtract the minus tolerance of .002 from the decimal drill size to get a lower limit of 0.2640.



Figure 9-50 Dimensioning hole locations



—^



Dimensioning Hole Locations



/



addition to dimensioning the size of a hole, and engineers must also dimension the locations of holes. Figure 9-50 illustrates the proper In



SIZE



/



drafters



methods



1



I.O



s



-



5 - 4



1



u



S







-



09



10







08



2



11



1



s



1



1



14



-



1



6



-



1



8



-



*



14



-



B



1



6







2







-



>



6



1



-



1



-







4 2



-



2



1



6



- 2 4 - 3 3



data dbote hea\> lines are m ae :ord *ith ABC agreements Svmhois H"? " - ) Pdir^ of \alues shown represent maximum amount of interference tolerance limits



* 0.1



-



-



1



-



1







"



-



1



-



5



8



11



*



20



Limits



LN



Class



Size Range.



of Interference



Inches



11



2



06



2



4



-3.O



-0



2



-06 -



04



3



0.4







+ 0.6



73-



i 73



-



1



1



-06



1



+



1



3



-



• 1.0



08



-



0.1







1



-



1



-



1



02



09



6



-



1.0



2



1



-



1



1



1.6



0.4



-



1



2



2



*



2 2



02



9 8S-12 41



2



-



1



2



I



4



2



02 26



+ 14



0.2



-



All data



•he



i



1



6



Pairs



from app



.



i



6



-



2



2.0



2



-



*



3



9



SI



* J 5



4 4 •



4 4



ire not



salues sh tissn represent m nimum and standard tolcrarv e limits



- 2 6 • 1 4



-



1



6



1



6



1



8







04 1



- 2



4







2



8



-



2







I



.



2



2



1



4



-



3



4



-



38



g 6



-



4







!



2



-



-06 3



8



1



-



1



6



-t



|



1



8



AS ME]



09



-



2



1



08 1



4



"



2.0 4



1



+ 1.6



-



1



4



ABC



• •



1



2



4



2



I



J







2



1



s



si



2








1



+ 0.6



2



04



i



2



1



2



2



-



4



1



2



+ 0.6



0-3



1



07



-



0.2



+ 0.5



2 1



1.9



7.09- 9 85



-



0.1



06 29



6



9



1



2



1,6



.



"4



9



14



I



4



1



-



1



-



1



an nch



01



10



-



1



2



1.6



4



-



-



II







-







" 3



2



•IIS



118



Limits



0.75



08



06



+ 0.8 s



i



1



•.is-



06



11



1



II



LN



0.9



1



-0



6s



-



+



.



2 1











2



-







•»4



Standard



1.0



0.1



is



[as indicated



Limits



08



08



+ 0.4



11



5



4



Fits {Cou rtesy of



Ci as.



2



-04



+ 0.65 + 0.4



1.0



si~-



»



r6



-0



1



-



06



s\\iem resulting from application of standard



Shaft



05 -0 J



2







\BC



H-



0-1- 119



1



in



ference



-04



2



1



6s



1)8



.,,3



2



1



n



11



-02s



(ANSI B4 .1-196?. R 19-91



Limits



O.65



u



s



P6



25







-



-



s



- 3 4



5



H"



+ 0.3



97



2



-



ference



45



1



2







4



3



-



H6



-0



n-



l>4



IS



-



3



1



,



1)



-



-



Hole



040



1



- 2.0



6



1



-



*



-



- 2 "



1



1



-



of Inter-



-



Shaft



H-



g |



1



0.6



-



8



Shaft



0.8



19-



6



Hole



0.65



1



1



1



of Inter-



4-0.25



0.40- 0.71



-



ns



5



24-



-



4



Shaft



45



0.12- O.24



1



11



6



-



\ alues shovsn bclovs are gisen in thousant ths of



0-0.12



-



2



4



- 2



1







2



Hole



To



Oser



*



9



Standard Limits



1



.



I



••



Limits



-



-,,4



bod> of table are added or subtracted to bask USE or - sign! to obtain maximum and minimum sues of mating pans



Nominal



-



IM 1



"4



-II-



are hole and shaft designations maximum amount of clearance -



Standard



-



1



t



2



in



-



n



s



-



1



Figure 9-1 18 ANSI Standard Transition Locational



CI



D



2



-



-38



Interference Locational Fits







-



-



5



-08



3



-



•09



-



2



etc



(



ANSI Standard



1



- 3.O 6 i



11



-04



1



•O]



8



2



1



-



2



• 2



n 6



...



O



1



2S



u6 -„1 -



-



II



-



2



1



-



-40



-02



1



1



-



9



2



4



- 1.8



5



- 2 3



2



O



1



2



-



1



2



08



8



1



1



2.2



A!!



Tolerance limits gi\en



-



•05



2



11



-



09



-



s



1



- 2



-



-0



1



1



1



1



• 1.6







:







-







2



-



1



2







1



4



1



1







- 2



-



-



2 - 1.2



1







1



1



1



-



1



Hole



F.r



-



is



-08



*



I.J



1



1



-



4 6



1



-



-



- I.I -



-,



1







1



1



-0



0.1



0.8



-09



1



1



-09



-



118



o.t



.



* -



11



-



* 0.1



0.8



11



1



-



-



11



to



-0.7



1



-



3



1



o



-



-



(,



O



- 1.0



1



-







-







-Oh



:



-



5



-06 -06



"4 °5



OS



-1.6



5



-07 -09 -08



-0.5



2.2











1



"4 OS



2.0







"



1



n6



-06



;



-



Shaft



H-



-04








-,



f



7\



JR



>l



Problem 9-15



-



1



I



:



r



j



l



:ti



"""



Problem 9-16



Chapter 9



379



I



i



i.



~&i



Problem 9-17 Problem 9-20



:



-







>:IT



n:



——



——



^



r



i-



timr K



w



~~"



-€^ sua



Urtr h--~



A-+



j



i;ii
|



3.20 ±J0\



Runout



.005



BETWEEN A 8 B Runout is a feature control that limits the amount of deviation from perfect form allowed on surfaces or rotation through one full rotation of the object



about



datum



Revolution of the object is around a Consequently, a runout tolerance does



its axis.



axis.



require a



datum reference. is most frequently used on objects consistseries of concentric cylinders and other



Runout ing of a



shapes of revolution that have circular cross sections; usually, the types of objects manufactured on lathes. Figures 12-47 and 12-48.



CIRCULAR RUNOUT



— |



Figure 12-44 Profile "ALL



— 005



,



/>



>7



SECTION



1.002"Ta]



THRU ANYPLACE



AROUND"



TOLERANCE



ZONE



E3



AS DRAWN



.002



TOLERANCE ZONE



Figure 12-47 Circular runout Figure 12-45 Interpretation of



"BETWEEN A &



B"



TOTAL RUNOUT



—\&\ 005



TOLERANCE



ZONE



AS DRAWN



fW 00 2 A |



|



002 MAXIMUM VARIATION EN TIRE SURFACE



MEANS Figure 12-48 Total runout



Figure 12-46 Interpretation of "ALL



AROUND



may be inspected using a dial However, because the tolerance zone must be measured at right angles to the basic true profile and perpendicular to the datum, the dial indicator must be set up to move and read in both directions. Other methods of inspecting profile tolerances are becoming more popular, however. Optical comparators are becoming widely used for inspecting profile tolerances. An optical comparator magnifies the silhouette of the part and projects it onto a screen where it is compared to a calibrated grid or template so that the profile and size tolerances may be inspected visually. Profile tolerances



indicator.



444



Section 4



Notice in Figures 12-47 and 12-48 that there are two types of runout: circular runout and total runout. The circular runout tolerance applies at any single-line element through which a section passes. The total runout tolerance applies along an entire surface, as illustrated in Figure 12-48. Runout is most frequently used when the actual produced size of the feature is not as important as the form, and the quality of the feature must be related to some other feature. Circular runout is inspected using a dial indicator along a single fixed position so that errors are read only along a single line. Total runout requires that the dial indicator move in both directions along the entire surface being toleranced.



Symmetry



Concentricity It



is not uncommon made up of several



manufacturing to have a



in



subparts all sharing the same center line or axis. Such a part is illustrated in Figure 12-49. In such a part it is critical that the center line for each subsequent subpart be concentric with the center lines of the other subparts. When this is the part



Parts that are symmetrically disposed about the center plane of a datum feature are common in manufacturing settings. If it is necessary that a feature be located symmetrically with regard to the center plane



datum



of a



symmetry tolerance may be The part in Figure 12-51 is sym-



feature, a



applied, Figure 12-51.



metrical about a center plane that



is perpendicular To ensure that the part is located symmetrically with respect to the center plane, a .002 symmetry tolerance is applied. This creates a .002 tolerance zone within which the center plane in question must fall, as illustrated on the right-hand side of



to



CYLINDER



-



Datum



A.



Figure 12-51.



SYMMETRY CON



=



SPHERE-



E



SAME CENTER OR AXIS



002 TOLERANCE ZONE







Figure 12-49 Part with concentric subparts XX



XX



r



XX I



case, a concentricity tolerance



L



A concen-



applied.



is



I=Ma|



tolerance locates the axis of a feature relative to the axis of a datum. A concentricity tolerance deals only with the center-line relationship. It does not



tricity



Figure 12-51 Symmetry



affect the size, form, or surface quality of the part.



True Positioning



Concentricity deals only with axial relationships. Regardless of how large or small the various subparts of an overall part are, only their axes are required to be concentric. A concentricity tolerance creates a



of parts that are to



which all center lines cylindrical of an overall part must for each successive subpart fall. This concept is illustrated in Figure 12-50. A tolerance zone



concentricity tolerance tor



movement



in



inspected by a



is



full



indica-



True position tolerancing position



is



used to locate features



is



be assembled and mated. True



symbolized by a



circle overlaid



plus sign or cross. This symbol



by a large



followed by the tolerance, a modifier when appropriate, and a reference datum. Figure 12-52. Figures 12-53 and 12-54 illustrate the difference



is



between conventional and The tolerance dimen-



true position dimensioning.



of a dial indicator.



shown in Figure 12-53 create a square tolerance zone. This means that the zone within which the center line being located by the dimensions must fall takes the shape of a square. As you can see in Figure 12-54. the tolerance zone is round when true position dimensioning is used. The effect of this on manufacturing is that the round tolerancing zone with true position dimensioning increases the size of the tolerance zone by 57%. Figure 12-55 This sions



CONCENTRICITY j|J



f- AXIS



OF



8



Q |g



002] A



means that for the same tolerance the machinist has 57% more room for error without producing an out-



'



AS DRAWS!



AXIS OF



A



EXTREME POSITION OF ax,-:



of-tolerance part.



M 002 TOL



MEANS Figure 12-50 Concentricity



042



©



1



A| B[ C



MODIFIER ADDED



Figure 12-52 True position symbology



Chapter



12



CONVENTIONAL DIMENSIONING



—z



-0.XXX



xxx



|



254/250 y THRU 042 M A B~|



[



|



|







SQUARE TOLERANCE ZONE



042 TOLERANCE ZONE



250



.



to t



254



^^~ :



1



985



;



:



(



HOLE}



LMC HOLE)



i



1015



MAX



1.015



985 MIN *



MEANS



5



r



985_ ^ MAX



985 1.0



MMC



i



r



AS DRAWN



(



_I.0I5_ MIN



~



~



254 (LMC HOLE)



250 (MMC HOLE)



Figure 12-53 Conventional dimensioning I



1



127



TRUE POSITIONING



»



—1»|



42



021



—1*1



e 042|a|b ROUND TOLERANCE ZONE



a| b[ I



P



^\



125 t



A. *



1



J



'



i



1



"



/f



— •0



04 2



046



TOLERANCE ZONE



TOLERANCE ZONE



Figure 12-56 True positioning at



maximum MEANS



EE



EE



-'



( A.



296 MAX DEVIATION



_2



AS DRAWN



1



023



(p&



MMC



material condition 1.250 diameter), the



tol-



erance zone increases to .046 diameter. The tolerance zone diameter increases correspondingly as the hole size decreases.



Figure 12-54 True position dimensioning



Projected Tolerance Zone Occasionally when working with mating parts it becomes necessary to control the perpendicularity of a surface of a part to ensure ease of assembly. When this is the case, a designer can specify a projected tolerance zone. This means that the tolerance zone is projected above the surface for a specified distance. Figure 12-57 illustrates the symbol used for specifying a projected tolerance zone.



R .021



57" LARGERTOLERANCE ZONE



042



—H.0I5 SOUA PE ZONE



ROUND ZONE



Figure 12-55 Comparison of tolerance zones PROJECTED TOLERANCE ZONE



When ance



is



using true position dimensioning, the toler-



assumed



to apply regardless of the feature



size unless modified otherwise. Figure



12-56



Figure 12-57 Projected tolerance zone symbol



illus-



trates the effect of modifying a true position toler-



ance with a maximum material condition modifier. In this example a hole is to be drilled through a plate. The maximum diameter is 0.254 and the minimum diameter is 0.2 50. Therefore, the maximum material



when



Figure 12-58 illustrates



how



a



projected tolerance



attatched to a normal feature control zone symbol box and what doing so means for manufacturing peris



sonnel. In the



example



in



Figure 12-58, a .25 diame-



as the hole size decreases, the positional tolerance



threaded hole is to be placed in a part. The hole located using true position dimensioning with a positional tolerance of .042 at maximum material



increases. At least material condition 1.2 54 diameten the tolerance zone has a diameter of .042. At



ance zone



condition of the part occurs to a



446



diameter of



Section 4



.2



50. Notice



the hole



is



drilled



from this example that



ter is



condition. The designer has specified that the toleris



to project



above the surface



of the part



-25-20UNC-2B fr



25-20UNC-2B



10 042



AS DRAWN



0O42»|AjBl



MEANS



-cw-



Figure 12-60 Establishing datums



Figure 12-58 Projected tolerance zone



for a distance of .50 of



an



inch. This



is



illustrated in



Figure A. Figures B and C illustrate what such a callout actually means. A 2



Review of Datums



EACH POINT IS CALLED OFF BY TARGET SYMBOL



Fundamental to an understanding of geometric dimensioning and tolerancing is an understanding of datums. Since many engineering and drafting students find the concept of datums difficult to understand, this section will review the concept in depth. It is important to understand datums because they represent the starting point for referencing dimensions to various features on parts and for making calculations relative to those dimensions. Datums are usually physical components. However, they can also be



Figure 12-61



The



letter



the



datum



Datum



A



DATUM



symbol



target



designation in the datum target symbol is identifier. For example, the letter A in Figure 12-62 is the datum designator for Datum A. The number 2 in Figure 2-63 is the point designator for Point 2. Therefore, the complete designation of A2" means Datum A-Point 2. 1



invisible lines, planes, axes, or points that are



located by calculations or as they relate to other features. Features such as diameters, widths, holes, and slots,



are frequently specified as



Datums ary,



datum



features.



are classified as being a primary, second-



or tertiary datum, Figure



1



2-59.



Three points are



THE



'A'



INDICATES THE DATUM



Figure 12-62 Datum designation PRIMARY



THE



't'



INDICATES THE POINT



Figure 12-63 Point designator



-SECONDARY



TERTIARY



Figure lish



Figure 12-59 Datums required to establish a primary datum. Two points are required to establish a secondary datum. One point is required to establish a tertiary datum. Figure 12-60. Each point used to establish a datum is called off by a datum target symbol. Figure 12-61.



1



2-64 illustrates



how



the points which estab-



datums should be dimensioned on



a drawing. In



this illustration, the three points which establish Datum A are dimensioned in the top view and labeled using the datum target symbol. The two points that establish Datum B are dimensioned in the front view. The one point that establishes Datum C is dimen-



sioned in the right-side view. Figure 2-65 illustrates the concept of datum plane and datum surface. The 1



Chapter



12



447



theoretically perfect plane



represented by the top



is



machine table. The less perfect actual datum surface is the bottom surface of the part. Figure 12-66 shows how the differences between the perfect datum plane and the actual datum surface are reconciled. The three points protruding from the machine table correspond with the three points which establish Datum A. Once this difference has been reconciled, inspections of the part can be carried out. of the



Review Define the term



tolerancing.



What are the two types



What



led to the



of size tolerances?



development of geometric



dimensioning and tolerancing? Define the term geometric dimensioning and



toler-



ancing.



Figure 12-64 Dimensioning datum points



Identify the ANSI standard that pertains to geometric dimensioning and tolerancing.



Sketch the symbols for the following: a. Flatness e. Perpendicularity b.



Circularity



c.



Straightness



d.



True position



f.



Parallelism



g.



Angularity



Explain the term maximum



Figure 12-65 Datum plane versus datum surface



materiai condition.



Explain the term



regardless of feature



Explain the term



least material condition.



What



How



is



is



a a



size.



datum?



datum established on



a



machined



surface? 12.



How



is



a



datum established on



a cast surface?



13.



Sketch a sample feature control symbol that illustrates the proper order of elements.



14.



Which feature controls



do not require a



datum



reference?



Figure 12-66 Reconciling the datum surface to the datum plane



448



Section



4



15.



Which feature controls reference?



must have a



datum



Problem



12-2



Apply tolerances so that the top surface of this part is to within .00 and the two sides of the slot are parallel to each other within .002 RFS. flat



1



2X0 56 * THRU (DRILL) r-



SURFACE A



Chapter Twelve



Problems The following problems are intended



XX



to give beginning







t 015



in applying the principles of geometric dimensioning and tolerancing.



drafters practice



The steps Step



i.



Step



2.



to follow in completing the



Study the problem



problems



750 NOM SIZE IRC-1) (



are:



)



carefully.



Problem 12-2



Make



a checklist of tasks you will need to



complete. Step



3.



Center the required view or views



in



the work



area. Step



4.



Include



all



dimensions according to ANSI



YI4.5M-I982.



Problem



Re-check all work. If it's correct, neatly fill out the title block using light guidelines and freehand



Step



Apply tolerances so that the smaller diameter has a and the smaller diameter is concentric to the larger diameter to within .002. The shoulder must be perpendicular to the axis of the part to



cylindricity tolerance of .005



lettering. Note-.



12-3



5.



These problems do not follow current drafting stan-



dards. You are to use the information



shown here



to



develop properly drawn, dimensioned, and toleranced



within .002.



drawings.



Problem



12-1



Apply tolerances so that .004 at



this part



is



straight to within



MMZ.



06 X 45« CHAMFER (



BOTH ENDS) » I



062



312



Problem 12-3



Problem



12-1



Chapter



12



4







Problem



12-4



Apply tolerances to locate the holes using true position and basic dimensions relative to datums A-B-C. 06 (



X 45°



CHAMFER BOTH ENDS)



2 38



25



0.88 Z 1.50



2X 505 Z THRU



(



LN-2)



Problem 12-6



Problem 12-4



Problem



Problem



12-7



Apply a line profile tolerance to the top of the part between points X and Y of .004. Apply true position tolerand parallelism tolerances of ances to the holes of .02 .00 to the two finished sides. 1



12-5



.



1



Apply angularity, true position, and parallelism tolerances of .001 to this part. Select the appropriate datums. The parallelism tolerances should be applied to the sides



R 3 50



of the slot.



338



1.75



0-50 T THRU



(DRILL)



Problem 12-7



Problem



12-5



Problem



Problem 12-6 is



Apply tolerances so that the outside diameter of the part round to within .004 and the ends are parallel to within



.001 at



4



50



maximum



material condition.



Section 4



12-8



datum A and the right side Apply surface profile tolerances of to the top of the part between points X and Y.



Use the bottom of the part as .00



1



of the part as



datum



B.



)



Problem



12-1



I



R.75



Apply tolerances to this part so that diameters X and Z have a total runout of .02 relative to datum A (the large diameter of the part) and line runout of .004 to the two tapered surfaces. R 62







686 I THRU ( RC-6)



I



Problem 12-8



1



06X45* CHAMFER (BOTH ENDS



062



062



Problem 12-9 Select datums and apply tolerances in such a way as to ensure that the slot is symmetrical to within .002 with the .50 diameter hole, and the bottom surface is parallel to the top surface to within .004.



Problem



12-11



V^ 2



00



Problem 12-12 Select



625



J



THRU



(DRILL)



.001 at



datums and apply



MMC



to the holes,



ance of .003 to the



a true position tolerance of



and



a perpendicularity toler-



vertical leg of the angle.



2X



R 25



Problem 12-9



2X0



625



J



Problem 12-10 Apply tolerances to this part so that the tapered end has a total runout of .002.



r-0 344



03X45* CHAMFER 25



Problem 12-12



Problem 12-10



Chapter



12



151



Problems 12-13 through 12-30 For each of the remaining geometric dimensioning and tolerancing problems examine the problem closely with will be served by the part. Then datums tolerances, and feature controls as approand apply them properly to the parts. In this way



an eye to the purpose that select



priate



begin to develop the skills required of a mechaniDo not overdesign. Remember the closer the tolerances and the more feature control applied the more



you



will



16



cal designer.



expensive the



AppK



part. Try to



only as



many



thumb



use the rule of



feature controls



its



purpose



after



that says:



and tolerances as



absolutely necessary to ensure that the part serve



I THRU



will



properly



assembly'



v



E



TR C :



Problem 12-15 052



7 Z I



THRU



RC-2)



1.76



Problem 12-13 Problem 12-16



^.09 WIDE X



.06



DEEP



DERCUT



e



44



5C .03 X 45



CHAMFER Problem 12-14 1.50



452



Section 4



.\\



3X R24



METRIC



3X0 20 I THRU 1



(



2



IN



14



LINE)



T 16



040



Problem 12-18 METRIC



Problem 12-20



2.50



031 * THRU 38* 38



l_i



88 $ THRU 1.50



2X0



25 Z



(BOTH ENDS



THRU



1



500/495 75 I



Problem 12-19 Problem 12-21



Chapter



12



4S3



)



N



SHARP



3



RIBS/120* APART



RIB THICKNESS



375



,



3 REQ'D.



3X 0.5O,THRU 120° APART ON A



4.0



B.C



ALL UNMARKED RADIUS R



.12



Problem 12-22



4X R8



64



018



02



1



THRU



SQUARE shaft



KEY WAY FOR aria



46



METRIC|



Problem 12-24



Problem 12-23



ALL UNMARKED RADII, R.06



Problem 12-25



454



Section 4



R 50 (TYP)



0.75, THRU



ALL UNMARKED RADII



=



R.09



Problem 12-26



2X0 44



J THRU



2



I



03 00 IOD)



75



2



75



(



ID)



ALL UNMARKED RADII



1.25 *



R



06



U



2



I



THRU



88 I 50



Problem 12-27



25 (0 0)



2



01 00



2X0



L



UNMARKED



50 f THRU



RAOI



I



R 06



Problem 12-28



Chapter



12



50



2XR



10



2X0 6? THRU



LJ0IO 13



3C



R 23



2X R



I



0— ALL



UNMARKED



RADII



R2



Problem 12-29 METRIC



Problem 12-30



Problem 12-31 This problem deals with feature control symbols. 1-19 explain



what each symbol means.



In



In



items



MEANS



items 20-30, draw



H3



the required symbols.



SYMBOL 8)



®



9)



BE—



10)



(



)



R



12)



T



13)



V-



I



I



1







rrpT



SYMBOL



MEANS I



)



005



4)



O



5)



>oy



6)



I



I



I



I



7)



B



C



pn i



MEANS



•$•



©



8)



9)



a SYMBOL



ANGULARITY 2 1) TRUE POSITION 22) FLATNE SS 23) PROFILE OF A SURFACE 20)



24)



PERPENDICULARITY



25)



CIRC ULAR R UNOUT ST RAIGHTNE SS



26)



27) 28) 29) 30)



TOTAL RUNOUT PRO FILE OF A LINE



CYLINDRICITY CIRCULARITY Problem 12-31



456



Section 4



-



CHAPTER



13



This chapter covers all terminology associated with the major kinds of fasteners, and Illustrates the fasteners used in industry today. How to interpret and draw tabulated fastener standard-size drawings is covered. In-depth study is devoted to where to use groove pins and retaining rings, and how to design them into existing assemblies.



FASTENERS



Classifications of Fasteners As a new product to fasten



it



is



together



developed, determining how a major consideration. The



is



product must be assembled quickly, using standard, Some products are designed to be taken apart easily— others are designed to be permanently assembled. Many coneasily available, low-cost fasteners.



siderations are required as to what kind, type, and



be used. Sometimes the stress load upon a joint must be considered. There are two major classifications of fasteners: permanent and material of fastener to



temporary. Permanent fasteners are used when parts will not be disassembled. Temporary fasteners are



used when the parts



will



be disassembled



at



some



future time.



Permanent fastening methods include welding, and riveting. Temporary fasteners include screws, bolts, keys, and pins.



brazing, stapling, nailing, gluing,



Many temporary



fasteners include threads



in their



was no such thing as standand bolts from one company would not fit nuts and bolts from another company. In 1841. Sir Joseph Whitworth worked toward some kind of standardization through England. His efforts were



design. In early days, there



ardization. Nuts



finally accepted, and England came up with a standard thread form called Whitworth Threads. In 1864. the United States tried to develop a standardization of its own but, because it would not interchange with the English Whitworth Threads, it was not adopted at that time. It was not until 1935 that the United States adopted the American Standard Thread. It was actually the same 60" V-thread form proposed back in 1864. Still, there was no standardization between countries. This created many problems, but nothing was done until World War II. which



changeability of parts that,



in



1948. the United States.



Canada, and the United Kingdom developed the Unified Screw Thread. It was a compromise between the newer American Standard Thread and the old Whitworth Threads. Today, with the changeover to the metric system, new standards are being developed The International Organization for Standardization (ISO was formed to develop a single international system using metric screw threads. This new ISO standard will be united with the American National Standards Institute (ANSI standards. At the present time, we are in a transitional period and a combination of both systems is still being used. I



I



4^7



Pikh-Jhe distance from a point on a screw thread to a corresponding point on the next thread, as measured parallel to the axis. Root— The bottom point joining the sides of a



Threads Threads are used 1



for four basic applications:



to fasten parts together, such as a nut



and



thread. a bolt.



Crest-Jhe top point joining the sides of a thread. 2.



3.



4.



adjustment between parts in relation each other, such as the fine adjusting screw to on a surveyor's transit.



Depth



for fine



for fine



thread-The distance



of



and the root



right angle to the axis.



Angle



measurement, such as a micrometer.



of



thread— The included angle



Series of thread— A standard number of threads per inch (TPI) for each standard diameter.



motion or power, such as an automatic screw threading attachment on a lathe or a house jack. to transmit



Screw Thread Forms The form of a screw thread is actually its profile shape. There are many kinds of screw thread forms. Seven major kinds are discussed next.



Unified National Thread



Thread Terms



Form



The Unified National thread form has been the standard thread used in the United States. Canada, and the United Kingdom since 1948, Figure 13-2A. This thread form is used mostly for fasteners and



Refer to Figure 13-1 for the following terms. • External thread— Threads located



of a part, such as those



on a



a part, such as those



on a



on the outside



bolt.



• Internal thread— Threads located



adjustments.



on the inside of



nut.



• Axis— A longitudinal center line of the thread. • Major diameter— The largest



thread, both external



and



ISO Metric Thread Form



diameter of a screw



The ISO metric thread form is the new standard to be used throughout the world. Its form or profile is



internal.



Minor diameter-Jhe smallest diameter of a screw thread, both external and internal.



very similar to that of the Unified National thread, except that the thread depth is slightly less. Figure



• Pitch diameter— The



diameter of an imaginary diameter centrally located between the major diameter and the minor diameter.



13-2B. This thread form



is



used mostly



and adjustments.



DEPTH OF THREAD



ROOT



ANGLE



NTERNAL THREAD



EXTERNAL THREAD Figure 13-1 Thread terms 458



between the



sides of the thread.



There are many types and sizes of fasteners, each designed for a particular function. Permanently fastening parts together by welding or brazing is discussed in Chapter 19. Although screw threads have other important uses, such as adjusting parts and measuring and transmitting power, only their use as a fastener and only the most used kinds of fasteners are discussed in this chapter.







between the crest measured at a



of the thread, as



Section 4



**k



for fasteners



|



KPITCH—



Figure 13-2A Unified national thread form (UN]



Figure 13-2B ISO metric thread form



PITCH



Figure 13-2C Square thread form



Figure 13-2D



Acme



thread form



Acme Thread Form The Acme thread is a slight modification of the square thread. It is easier to manufacture and is actually stronger than the square thread, Figure 13-2D. It, too, is used to transmit power.



Figure 13-2E



Worm



Worm Thread Form



thread form



The worm thread and is used primarily



is



similar to the



Acme



thread,



to transmit power. Figure



1



3-2C.



Square Thread Form profile is exactly as its name square. The faces of the teeth are at right angles to the axis and. theoretically, this is the best thread to transmit power. Figure 13-2C. Because



The square thread's



implies: that



is,



thread is difficult to manufacture, replaced by the Acme thread.



this



it



is



being



Knuckle Thread Form The knuckle thread is usually rolled from sheet metal and is used, slightly modified, in electric light Chapter



13



459



.163 X



P^\



RAD/US APPROX. .020 XP (OPTIONAL) i



MAJOR



Figure 13-2F Knuckle thread form



bulbs, electric light sockets, tle tops.



The knuckle thread



Figure 13-2G Buttress thread form



and sometimes for botis sometimes cast, Fig-



ure 13-2F.



Buttress Thread



Form



The buttress thread has



certain advantages in appli-



cations involving exceptionally high stress along axis in one direction only.



Examples



its



of applications



are the breech assemblies of large guns, airplane propeller hubs, and columns for hydraulic presses, Figure 13-2G.



-APPROX.



TAP



DIE



TAP DRILL



DIAMETER



Tap and Die Figure 13-3 Tap and die Various methods are used to produce inside and outside threads. The simplest method uses threadcutting tools called taps



and



dies.



The



9 T.RI.



tap cuts inter-



nal threads: the diVcuts external threads. Figure 13-3.



2



making an internal threaded hole, a tap-drilled hole must be drilled first. This hole is approximately the same diameter as the minor diameter of the threads. In



ili



hi. lilililih'i



lil



SCALE (FULLS



I



ZE)



Notice how the tap is tapered at the end; this taper allows the tap to start into the tap-drilled hole. This



tapered area contains only partial threads. Figure



Threads per Inch (TPI) One method



of measuring threads per inch (TPI



3-4 Use of a scale to calculate threads per inch (TPI)



)



is



on the crests of the threads, and count the number of full



to place a standard scale



parallel to the axis,



1



threads within one inch of the scale, Figure 13-4. if only part of an inch of stock is threaded, count the number of full threads in one half inch and multiply by two to determine TPI. A simple, more accurate method of determining threads per inch is to use a screw thread gage, Figure 13-5. By trial and error, the various fingers or leaves of the gage are placed over the threads until



Pitch



is found that fits exactly into all the threads. Threads per inch are then read directly on each leaf



The pitch of any thread, regardless of its thread form or profile, is the distance from one point on a thread to the corresponding point on the adjacent thread as measured parallel to its axis. Figure 13-7. Pitch is found by dividing the TPI into one inch. In this example, a coarse thread pitch, there are 10 threads in one measured inch: 10 TPI divided into one inch equals a pitch of 10. In a fine thread of the same diameter there are 20 threads in one measured inch: 20 TPI divided into one inch equals a



of the gage, Figure 13-6.



pitch of 20. Figure 13-8.



one



460



Section 4



For metric threads, the pitch is specified in metres. Pitch for a metric thread is included call-off designation.



For example:



indicates the pitch; therefore,



M



10 x



1.5.



milliin its



The



does not as a



it



1.5



rule



have to be calculated.



THREAD GAGE



Single and Multiple Threads A single



composed



one continuous ridge. equal to the pitch. Lead is the distance a screw thread advances axially in one full turn. Most threads are single threads. Multiple threads are made up of two or more continuous ridges following side-by-side. The lead of a double thread is equal to twice the pitch. The lead of a triple thread is equal to three times the pitch. Figure The lead



Figure 13-5 Use of a screw thread gage



thread is



of a single thread



of



is



13-9.



when speed or travel an important design factor. A good example of a double or triple thread is found in an inexpensive ball-point pen. Take a ball-point pen apart and study the end of the external threads. There will probably be two or three ridges starting at the end Multiple threads are used



distance



is



of the threads. Notice



how fast the



This speed, not power,



is



parts screw together.



the characteristic of multi-



ple threads.



Figure 13-6 Reading screw thread gage The L.S. Starrett Co.)



-I



{Courtesy



t~ START



OF



LEAD



\ THREAD



=



PITCH



INCH SINGLE THREAD



•LEAD =2X PITCH



Figure 13-7 Coarse thread pitch



DOUBLE THREAD LEAD



START OF



THREAD Figure 13-8 Fine thread pitch



=



3X PITCH



TRIPLE THREAD



Figure 13-9 Single and multiple threads Chapter



13



40



1



AS SEEN / 1



III



II



1



ftttt



k



)



SCHEMATIC REPRESENTATION



A



~L



SIMPLIFIED REPRESENTATION



Figure 13-11 Thread representation



r



COUNTERCLOCKWISE



LEFT-HAND THREAD



Figure 13-10 Right-hand and left-hand threads



MAJOR



LENGTH OF THREAD



CHAMFER



CREST (THIN LINES)



r Right-Hand and Left-Hand Threads



,



MINOR



Threads can be either right-handed or left-handed. To distinguish between a right-hand and a left-hand thread, use this simple trick. A right-hand thread winding tends to lean toward the left. If the thread leans toward the left, the right-hand thumb points in the same direction. If the thread leans to the right, Figure 13-10, the left-hand thumb leans in that direction indicating that



it is



J>* _J — PITCH



(



APPROXIMATE)



*



»



MINOR



a left-hand thread.



ROOT ( THICK LINES)



Thread Representation AS DRAWN



The top illustration of Figure 13-11 shows a normal view of an external thread. To draw a thread exactly as



it



will



actually look takes too



much



LENGTH OF THREAD! X a+ 5 C AR



draft-



speed up the drawing of threads, one of two basic systems is used and each is described and illustrated. The schematic system of represent-



r pN E -?IyfR A Fi



N



E.,. 5



X



9+



.



5



ing time. To help



ing threads was developed approximately in 1940, and is still used somewhat today. The simplified system of representing threads was developed 5 years later, and is actually quicker and in greater use today. 1



Figure 13-12 •



Step



Draw Threads Using the Schematic System



To



l. Refer to Figure 13-12. Lightly draw the major diameter, and locate the approximate



Step



length of



462



full



Section 4



threads.



threads using the schematic system



Lightly locate the



minor diameter and



draw the 45° chamfered ends as illustrated. Draw lines to represent the crest of the threads spaced approximately equal to the pitch.



Draw slightly thicker lines centered between the crest lines to the minor diameter. These lines represent the root of the threads.



Step



How



2.



How to draw



3.



Step 4.



Check



all



work and darken in. Notice the and the root



crest lines are thin black lines lines are thick black lines.



EXTERNAL THREADS



MAJOR



AS SEEN



LENGTH OF THREAD



CHAMFER



MINOR



45*



ASCHEMATIC SYSTEM (SECTION)



I



^ DRAWN



AS



SIMPLIFIED SYSTEM



LENGTH OF THREAD



2X0 + .5O



COARSE.



FINE-EVtRA FINE, Figure 13-13



How



to



1.



5X0 +



.50



draw threads using the



simplified system



SIMPLIFIED SYSTEM (SECTION)\



How To Draw



Figure 13-14 Standard external thread representation



Threads Using the



Simplified System Step



i.



Refer to Figure 13-13. Lightly draw the



major diameter and locate the approximate length of



full



threads.



implies, goes completely through an object.



hole that does



A



blind



2. Lightly locate the minor diameter and draw the 45° chamfered ends as illustrated. Draw dash lines along the minor diameter. This



go completely through an object. In the manufacture of a blind hole, a tap drill must be drilled into the part first. Figure 13-15. To illustrate a tap drill, use the 30°-60° triangle. This is



represents the root of the threads.



not



hole is a



Step



the actual angle of a



for illustration. Step



3.



Check



all



work and darken



in.



The dash



not



drill



The tap



is



point but



is



now turned



close



enough



into the tap



hole. Because of the taper on the tap, full threads not extend to the bottom of the hole (refer back do to Figure 13-3). The drafter illustrates the tap drill and the full threaded section as shown to the right in Figure 13-15. drill



lines are thin black lines.



Standard External Thread Representation The most recent standard



to illustrate external



threads using either the schematic or simplified system is illustrated in Figure 13-14. Note how section



views are illustrated using schematic and simplified systems.



Using the schematic system to represent a through hole is illustrated in Figure 3- 16. A blind hole and a section view are drawn as illustrated in Figure 13-17. 1



Using the simplified system to represent a through hole is illustrated in Figure 13-18. A blind hole and a section view are drawn as illustrated in Figure 13-19.



Thread Relief (Undercut)



Standard Internal Thread Representation There are two major kinds of interior holes: through holes and



blind holes.



A



through hole, as its



name



On fectly



it is impossible to make peruniform threads up to a shoulder: thus, the



exterior threads,



Chapter



13



463



END VIEW OF TAP DRILL



END VIEW OF THREADS



\



1



1



1



1



1



1



1



1



g



NOTE END OF TAP



Figure 13-15 Standard internal thread representation



INTERIOR THREADS (THROUGH HOLE)



INTERIOR THREADS (BLIND HOLE)



AS SEEN



AS SEEN



'



' i



tr-r t:



SCHEMATIC SYSTEM



I—



SCHEMATIC SYSTEM



V//////////A



Y///////////A



SCHEMATIC SYSTEM (SECTION)



l—A



Figure 13-16 Standard internal thread representation for a through hole (schematic system



SCHEMATIC SYSTEM (SECTION) Figure 13-17 Standard internal thread representation for a blind hold (schematic system)



464



Section 4



INTERIOR THREAD (THROUGH HOLE)



INTERIOR



THREAD



(BLIND HOLE)



m AS SEEN



AS SEEN



&



,



©



/rr



^~-.s



*-L-



SIMPLIFIED SYSTEM



SIMPLIFIED SYSTEM



I



r SIMPLIFIED SYSTEM (SECTION) Figure 13-18 Standard internal thread representa-



SIMPLIFIED SYSTEM (SECTION)



tion for a through



Figure 13-19 Standard internal thread representation for a blind hold



hole (simplified



system)



(simplified system)



threads tend to run out, as illustrated in Figure 3-20. Where mating parts must be held tightly against the shoulder, the last one or two threads must be removed or relieved. This is usually done no farther than to the 1



depth of the threads so as not to weaken the fastener. The simplified system of thread representation is illustrated at the bottom of Figure 13-20. Full interior threads cannot be manufactured to



Screw, Bolt, and Stud Figure 13-22 illustrates and describes a screw, a and a stud. A screw is a fastener that does not



bolt,



use a nut and



end of a blind hole. One way to eliminate this problem is to call-off a thread relief or undercut, as illustrated in Figure 13-2 1. The bottom illustration is as it would be drawn by the drafter.



is



screwed directly into a



part.



the



EXTERIOR THREAD RELIEF (UNDERCUT



INTERIOR THREAD RELI EF(UNDERCUT)







NOTE THREAD RUNOUT



)



/-NOTE THREAD RUNOUT



DEPTH OF THREAD-



r-



THREAD RELIEF



THREAD RELIEF



AS SEEN AS SEEN



•MININUM OF



I



OR



2



M OF



2



OR



3



THREAD



THREADS



-THREADRELIEF 06XTHD DEPTH



AS DRAWN



AS DRAWN Figure 13-20 External thread



relief



(undercut)



HREAD RELIEF



Figure 13-21 Internal thread



relief



.12



X



THD. DEPTH



(undercut)



Chapter



13



465



SCREW



BOLT



STUD



— CLASS



2



THREAD CLEARANCE



HOLE



X=MINIMUM THREADS REQUIRED! STEEL, X=OUTSIDE DIAMETER CAST IRON/BRASS/BRONZE X = 1.5 X OUTSIDE DIAMETER ALUMINUM/ZINC/PLASTIC, X= 2X OUTSIDE DIAMETER ,



=



MINIMUM SPACE



=



2XPITCH LENGTH



CLEARANCE HOLE!



TO .375 (9)



UP



.375(9)



.03 .06



(I



)



(2)



LARGER THAN OUTSIDE Dl AM ETER LARGER THAN OUTSIDE DIAMETER



Figure 13-22 Screw, bolt and stud



A



boh



is



a fastener that passes directly through



parts to hold



them



together,



and uses



Machine Screws



a nut to tighten



Machine screw



or hold the parts together.



A



stud is a



fastener that



both ends.



is



a steel rod with threads



screwed into a blind hole and holds other parts together by a nut on its free end. In



at



is



It



general practice, a stud has either fine threads at one end and coarse threads at the other, or Class 3-fit threads at one end and Class 2-fit threads at the



other end. Class of fit is fully explained later chapter under "Classes of Fit."



The minimum stud



thread length for a screw or a



is:



In steel: In



full



in this



equal to the diameter.



cast iron, brass, bronze: equal to



1.5



times



the diameter. In



aluminum,



zinc, plastic:



equal to



2



times the



diameter.



1



(.3)



to .750 (20)



screws are used for screwing into thin materiMost machine screws are threaded within a thread or two to the head. Although these are screws, machine screws sometimes incorporate a hex-head nut to fas-



Machine



als.



ten parts together.



The length of a machine screw is measured from the top surface to the part to be held together to the end of the screw (refer again to Figure 13-23).



Cap Screws Cap screw sizes run from .2 50 (6) and up. There are five standard head forms, Figure 13-24. A cap used as a true screw, and it passes through a clearance hole in one part and screws into another part. screw is usually



The clearance hole is



sizes run from .02



diameter. There are eight standard head forms. Four major kinds are illustrated in Figure 13-23.



in



approximately



for holes



up



to .375 |9|



diameter



.03 oversize; for larger holes, .06



oversize.



CAP SCREWS MACHINE SCREWS SIZES



FROM



2.021 TO 0.750



LENGTH



OVAL HEAD



FLAT HEAD



ROUND HEAD



Figure 13-23 Machine screws



466



FILLISTER HEAD



HEX HEAD ROUND HEAD SOCKET HEAD FILLISTER HEAD FLAT HEAD



Figure 13-24 Cap screws



Section 4



w



MACHINE SCREW DIMENSIONS APPROX. SIZES- FOR EXACT SIZES SEE APPENDIX



Figure 13-25



Approximate sizes machine screws or cap screws



,



for



6



LENGTH



^0-



How



To



FILLISTER HEAD



ROUND HEAD



FLAT HEAD



Draw a Machine Screw or Cap Screw



The exact dimensions of machine screws and cap screws are given in the Appendix of the text but. in actual practice, they are seldom used for drawing purposes. See Figures 13-2 5 and 13-26. which show the various sizes as they are proportioned in regard to the diameter of the fastener. Various fastener templates are



now



available to further speed



up



draft-



ing time.



Set Screws



A



set



screw



is



used to prevent motion between mathub of a pulley on a shaft. The



ing parts, such as the



screwed into and through one part so that it applies pressure against another part, thus preventing motion. Set screws are usually manufactured of steel, and are hardened to make them stronger than the average fastener. Set screws have various kinds of heads and many kinds of points. Figure 13-27 illustrates a few of the more common kinds of set screws. Set screws are manufactured in many standard lengths of very small increments, so almost any required length is probably "standard." Exact sizes and lengths can be found in the Appendix. As with machine screws and cap screws, in actual practice, the actual drawing of set screws is done using their proportions in relationset screw



is



ship to their diameters.



CAP SCREW DIMENSIONS



75



APPROX SIZES" FOR EXACT SIZES SEE APPENDIX ,



Figure 13-26



Approximate sizes for machine screws or cap screws



FLAT HEAD



ROUND HEAD



FILLISTER HEAD



HEX HEAD



HEX SOCKET HEAD



Chapter



13



467



SET SCREW



APPROX. SIZES-



FOR EXACT SIZES, SEE APPENDIX



*



i



SLOTTED HEX-SOCKET SQUARE



— 0H



K0



0-4



i



f— 0—



^0-1



^7



TEB



ri



r



I



I



.



I



45* L



ra



30



-4-.6 0^



M-.6



.75



.75



.75



90'



FLAT POINT



CUP POINT



OVAL POINT



CONE POINT



HALF DOG POINT



FULL DOG POINT



POINTS Figure 13-27 Approximate sizes for set screws and set screw points



SQUARE-HEAD BOLT



30°



TANGENT TO ARC



END CHAMFER



f7



^ \^y



SEETABLEFOR EXACT SIZES Figure 13-28 Approximate sizes for a square-head bolt



468



Section 4



•""w



HEX-HEAD BOLT



SEE TABLE FOR EXACT SIZES Figure 13-29 Approximate size for a hex-head bolt



How To Draw



Square- and Hex-Head Bolts



Exact dimensions for square- and hex-head bolts are given in the Appendix of the text, but. in actual practice, they are drawn using the proportions as



HEX-HEAD BOLT



R



given



in



Figures 13-28 and 13-29. Notice that the



heads are shown seen



in



in



the profile so three surfaces are



the front view.



head bolt must be as illustrated



in



In



the event a square- or hex-



90



illustrated



: .



the proportions



Figure 13-30 are used.



=



and Other Fasteners



Nuts, Bolts, If



Section



in



the cutting plane passes through the axis of any is not sectioned. It is treated



fastener, the fastener



exactly as a shaft



and drawn exactly as



incor-



cially



the



Thread



how



Figure 13-30 Side view of hex- and square-head bolts



figure at the right



difficult



it



is



is



to understand, espe-



nut).



Call-offs



Although not SEE TABLE FOR EXACT SIZES



viewed. left is



rectly (notice



R=2X0



is



drawn



drawn correctly The SQUARE-HEAD BOLT



it



Refer to Figure 13-31. The illustration at the



all



companies use the exact same



call-offs for various fasteners,



drafters within



it



is



important that



all



one company use the same method.



One method used



to call-off fasteners



is



Chapter



illustrated



13



169



CORRECT



SCREW - HEX HP MACHINE



INCORRECT



1



2



3



GENERAL ID ENTI FIC ATION OF FASTENER TYPE OF HEAD CLASSIFICATION OF FASTENER



1/2-13



(6 (6 S _ H



4



CO



6



5



7



5



i



o



SECTION Figure 13-31 Fasteners



in



2 A X 3 LG



W



(M



(S&



.



NOMINAL SIZE (IN FRACTIONS) THREADS PER INCH T.P.I.) UNIFIED NATIONAL SERIES C INDICATES, COARSE THREAD F INDICATES, FINE THREAD EF INDICATES, EXTRA FINE THREAD CLASS OF FIT, 2 INDICATES AVERAGE FIT FIT J_ INDICATES LOOSE (



A^



SECTION



UNC-



B



3 INDICATES TIGHT FIT INDICATES EXTERNAL THREAD INDICATES INTERNAL THREAD



LENGTH



section



M 8 X 1.25 Figure 13-32. Regardless of which system is used, first line contains the fastener's general identification, type of head, and classification. The second



-



6g



{external thread



6H



(



)



in



the



M



5 X



assumed



to



be



right



hand to be



wise noted. If a thread is noted at the end of the second



(R.H.), left



DIAMETER



unless other-



hand



(L.H.).



it



INTERNAL THREAD



)



DENOTES METRIC SYSTEM



line contains all exact detailed information. All threads



are



0.8



PITCH



IN



-- IN



MILLIMETRE



MILLI



METRE



THREAD TOLERANCE (US E D



is



IN



COMBIN ATI ON



INTERNAL-EXTERNAL TIGHT FIT 5 H 4g



line.



!



MEDIUMFIT



FREE



Various Kinds of Heads



Figure 13-32 Thread



Many different kinds of screw heads are used



Fl



T



:



!



6 H 7 H



6g 8g



call-off



today.



Figure 13-33 illustrates a few of the standard heads.



concerning larger field structural rivets, such as bridges, buildings and ships, see ANSI standards or



Rivets



a Machinery's Handbook. This chapter covers informa-



are permanent fasteners, usually used to hold sheet metal together. Most rivets are made of wrought iron or soft steel and. for aircraft and space missiles, copper, aluminum, alloy or other exotic metals. Riveted joints are classified by applications, such



joints



such sources as



ASME boiler codes.



used



butt strap which



For data



Clutch



Typ«G



g) Tnplt



Squir*



TRI-WINC



Clutch



Typ« A



for lighter



Two kinds of basic rivet joints are the lap joint, and the butt joint. Figure 13-34. In the lap joint, the parts overlap each other, and are held together by one or more rows of rivets. In the butt joint, the parts are butted, and are held together by a cover plate or



as pressure vessels, structural and machine members. For data concerning joints for pressure vessels refer to



machine-member riveted mass produced applications.



tion for small-size rivets for



Rivets



® o T0RO-



Slab



SET-



H.i.



is



riveted to both parts.



Hullt-



Splln*



RmO 1 Princ* (Frttrion)



Figure 13-33 Kinds of screw heads



470



Section 4



*'



LAP JOINT



ally



made



nominal



"Dx" EXPANDED DIAMETER-CAN BE DETERMINE D ACCU RATELY JNLY Wl TH RING GAGES 1



(



.250) -375) .500) .625)



V*



(



750)



ft



(



.875)



V*



H % %



1 l>/4



1% 1% 2 2>/4



2% 2>/4



3 3V*



3% 3*



( ( (



(1.000) (1.250) (1.500) (1.750)



.068 .068 .068 .068 .068 .068



.084 .084 .084 .084 .084 .084



.101 .101 .101 .101 .101 .101



.117 .117 .117 .117 .116 .116



.134 .134 .134 .134 .134 .133



368



.084



.101 .101



.115 .115



.133 .132 .132



.



Nib. Ell. Dim Oiia.(D) (Oi)iriicribr



He %4 y32



(2.000) (2.250) (2.500) (2.750)



7



/%4



y32 He Ha



(3.000) (3.250) (3.500) (3.750)



H 5



/l6



4 4>/4



4V4



Figure



(4.000) (4.250) (4.500)



1



.002 .002 .002 .002 .002 .002 .003 .003 .003 .004 .00 5



/l6



.00 6



H



.00 6



7



TOLERANCES:



.166 .166 .166 .166 .165



.198 .198 .198 .198 .198



.230 .230 .230 .230



.263 .263 .263 .263



.329 .329 .329



.394 .394



.459



.165 .164 .164 .163



.198 .197 .197 .197



.230 .230 .229 .229



.263 .263 .262 .262



.329 .329 .329 .328



.394 .394 .394 .393



.459 .459 .459 .459



.525 .525 .525 .525



.163



.196 .196



.229 .229 .228 .228



.262 .262 .261 .261



.328 .328 .327 .327



.393 .393 .393 .393



.458 .458 .458 .458



.525 .524 .524 .524



.227



.260 .260



.327 .326 .326



.392 .392 .391 .391



.457 .457 .456 .456



.523 .523 .522 .522



.390 .390



.455 .455 .454



.521



On Nominal Diameter "0 + .000— .001 up to 51/ d ameter + .000—002 &' and abc ve ±.001 up



±



.002 %»'



diameter and above



to 51/



On over-all Length "L" ±.010 lor all diameters a



\



For stainless steels and other special m< terials, th 8 expanded diameters shown in at >ove table are reduce 1 by amount shown at eft. i



Ml II



M



1



lltiratll III III lllftll ((lift III



In itir.



leiflti



Inn .



ti



ulei



ill special



1.



|ii



IS



lnnel in i|



SIICIlll



ten metal-to-metal parts together. of grooved pins



is



The



installation cost



invariably lower because of the and no special guides are



V



.



t'MIC



lll|



iiicily



Ij



111.



II.



ii'ilies



3-45 Standard size chart of grooved pin types



In many cases, grooved fasteners are lower in cost than knurled pins, taper pins, pins with cotter pins, rivets, set screws, keys or other methods used to fas-



ti



Whei iriin if.



A.



.521



.520



A3 and U



Material Standard grooved fasteners are made of coldsteel. The physical properties of this material are more than enough for ordinary appli-



drawn, low-carbon



required hole tolerances,



cations. Alloy steel, hard brass, silicon bronze, stain-



required at assembly.



less steel,



and other exotic metals may also be Chapter



13



specially ordered. These special materials are usually



heat treated for



optimum



physical qualities.



deep. Chromate, brass, cadmium, and black oxide can also be specially ordered.



Standard Types



Finish Standard grooved fasteners have a



finish of zinc



electroplated, deposited approximately .0001



5



inch



Study the various types of grooved fasteners and the related technical data



Figures 13-44 (page 420),



in



TYPE



Type B Pins have three tapered grooves extending



The Type C



one-half the length of the Pin. This type is widely used as a hinge or pivot Pin. Driven or pressed into a straight drilled hole, the grooved portion locks in one part, while the ungrooved portion will remain free. Also excellent for dowel and locating applications.



one-quarter



Pin has three parallel grooves extending its over-all length. It is ideally suited for linkage or pivot applications, especially where a relatively short locking section and longer free length are required. Widely used in certain types of hinge



applications.



The long



lead permits easy insertion.



Roller Pins



Control Valve Hinge Assembly



Linkage or Hinge Pin



Hinge Pins



Figure 13-46 Typical applications for grooved pin types B and C



476



Section 4



and



Note the various types and what each replaces. For example, Type A is used in place of 13-46, 13-48, 13-50,



taper pins,



13-53.



how each



of fasteners,



rivets, set



Standard Sizes



functions,



and



screws,



Refer to the standard size charts in Figures 13-4 5 13-47, 13-49, and 13-5 (page 421 Across the top of each chart are the nominal sizes from 1/16-inch diameter to /2-inch diameter. At the left side of each



keys.



),



I



.



1



TYPE



TYPE



STANDARD SIZES Nominal diameter and



3



Vl6



%A



Dec. Equivalents



.0625



.0781



Crown Height,



.0065



.0087



recommended



Radius,



In.



In.



±.010



1



1V4 IVS IV*



/32



%



Vi6



%



7 /i«



Vk



.1875



.2188



.2500



.3125



.3750



.4375



.5000



.0180



.0220



.0260



.0340



.0390



.0470



.0520



%2



Vie



/«4



Vs



V32



Vu



.0938



.1094



.1250



.1563



.0091



.0110



.0130



.0170



2V4 2Vz



2%



/32



Vs



%*



7



3% 3% 4



.084 .084 .084 .084 .084 .084



.101 .101 .101 .101 .101 .101



.117 .117 .117 .117 .117 .117



.134 .134 .134 .134 .134 .134



1.000) 1.250) 1.500) 1.750)



.068



.084



.101 .101



.117 .117



.134 .134 .134



4.000) 4.250) 4.500)



4»/4



4y2



1



l



/16



/4



K



15 /32



,7



*>



/32



EXPANDED DIAMETER-CAN BE DETERMINED ACCURATELY ONLY WITH RING GAGES



Nom



Eip Oram (D) (Di) reduced by



Dum



'/l6



b



A*



V32



%4



M



3'/4



V32



.068 .068 .068 .068 .068 .068



3.000) 3.250) 3.500) 3.750)



3



3



.250) .375) .500) .625) .750) .875)



2.000) 2.250) 2.500) 2.750)



2



3



%4



'Dx"



Figure



7



/32



sizes



drill



S



/32



3



/l6



7



/32



V*



% 7



/l6



'/2



.002 .002 .002 .002 .002 .002 .003 .003 .003 .004 .005 .006 .006



.166 .166 .166 .166 .166



.198 .198 .198 .198 .198



.230 .230 .230 .230



.263 .263 .263 .263



.329 .329 .329



.394 .394



.459



.166 .166 .166 .165



.198 .198 .198 .198



.230 .230 .230 .230



.263 .263 .263 .263



.329 .329 .329 .329



.394 .394 .394 .394



.459 .459 .459 .459



.525 .525 .525 .525



165



.198 .197



.230 .230 .230 .229



.263 .263



.329 .329 .329 .329



.394 .394 .394 .394



.459 .459 .459 .459



.525 .525 .525



.229



.262 .262



.329 .328 .328



.394 .393 .393 .393



459 459



TOLERANCES On Nominal Diameter "0



+ .000 * 000



-



001 up to 5i/ diameter



002



V



and above



263 .262



525



On Eipanded Diameter "Di" ±



.001



-



00?



up



W



On over



diameter and aboveLength L all diameters



to V«'



all



i .010 lor



'



A For stainless steels and other special materials, the expanded diameters shown in above table are reduced by amounts shown at left.



.525 .525 .525



.459 .458



525



tJ



Nile



Intermediate pin lenttr.s. pin diameters



aid |rooAa



.104



.125



3



3



/fe4



'/l6



y32



3



/32



%



'/l6



Y3 2



l



/l6



.146



y32



/l6



/i4



Vi6



Aa



Vie l



/l6



'/32



'/32



l



H



%2 l



.167



.209



15



»%2



y8



y3Z



3



Vn



/32



'/16



hi



/32



3



/32



3



/!6



A



%



.250



.293



l



Vl2



Vm



A



l



312



"DX" EXPANDED DIAMETER-CAN BE DETERMINED ACCURATELY ONLY WITH RING GAGES



%



(



V4



(



% %



(



V%



(



(



.375)



500) 625) 750) 875)



.101 .101 .101 .101 .101



.117 .117 .117 .117 .117



.134 .134 .134 .134 .134



.166 .166 .166 .166 .166



.198 .198 .198 .198 .198



.230 .230 .230 .230



.263 .263 .263 .263



.329 .329 .329



.394 .394



.117 .117



.134 .134 .134



.459



.166 .166 .166 .165



.198 .198 .198 .198



.230 .230 .230 .230



.263 .263 .263 .263



.329 .329 .329 .329



.394 .394 .394 .394



.459 .459 .459 .459



.165



.198 .197



.230 .230 .230 .229



.263 .263 .263 .262



.329 .329 .329 .329



.394 .394 .394 .394



.459 .459 .459 .459



.525



.229



.262 .262



.329 .328 .328



.394 .393 .393 .393



.459 .459 .459 .458



.525 .525 .525 .525



.393 .393



.458 .458 .458



.525 .524 .524



Ui



O



1



5 Z ~



VA



* O ! £ W



l'/i



Hi



(1.000) (1.250) (1.500) (1.750)



.101 .101



Nm,



2 2V*



2% 2*



(2.000) (2.250) (2.500) (2.750)



TOLERANCES: 3



/32



7



Aa



A



3V4 3V4 3»/4



(3.000) (3.250) (3.500) (3.750)



5



/32



3



/l6



7



/32



A



l



Vl6



4



(4.000)



y8



4V4



(4.250) (4.500)



7



4%



/l6



.002 .002 .002 .002 .003 .003 .003 .004 .005 .006 .006



On Nominal Diameter "D" + .000—001 up to 'At' diameter and above + .000— .002



V



On Expanded Diameter "Dx"



V V



j



diameter ±.001 up to and above ±.002 On over-all Length "L" ±.010 for all diameters For stainless steels and



by amounts shown



othe r special



at



Nete: Intermediate pin lenjths. pin diameters up le



and (reeve



positions



te



n latenals,



erder is specials



'/



c



£k



KLIPRING® externa/ series



5304 T-5304 TRIANGULAR PUSH-ON external senes



5305 GRIPRING