PPE-STD-CAL-ME-006 Rectangular Tank Thickness Calculation [PDF]

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RECTANGULAR TANK THICKNESS CALCULATION



Equipment Name / Tag No.



: RECTANGULAR STORAGE TANK



Project No.



:-



Project Name



: ……



Date



: 9-Mar-2017



PPE Std. Doc. No : PPE-STD-CAL-ME-006



Originated by : TM



Checked by : WS



Input = Blue Font ; Output = Black Font



Approved by : AS



RECTANGULAR TANK LAYOUT



Side-3



Side-2



Side-1



H



H W



W L



L



b



a



Layout for stiffener



DESIGN PARAMETERS Code Design



API 650 & Roark's Formula



Material Specification



Dimension



A-36



Shell, Roof & Bottom



Height (H)



2,772.00 mm



Allowable Stress (Sa)



Width (W)



2,000.00 mm



Nozzle Neck



Length (L)



2,000.00 mm



Flange



1,000.00 kg/m3



Pipe Fittings



A 234 WPB



Bolts & Nuts



A-193 B7 / A-194 B2H



Density Liquid (ρ)



AMB kg/cm2



Design Pressure (P)



25 C



Design Temperature (T)



A 105



A-36 6 mm



Nominal Thickness Plate (tn)



25.00 C



Operating Temperature



Density of Material (ρ material) 0.3 cm



7,860.00 kg/m3



### ###



1757.9 kg/cm2



Corrosion Allowance (CA)



3.00 mm



Liquid Specific Gravity (SG)



1.00



Allowable Bending Stress



Joint Efficciency (Eff)



0.85 Shell



Distance between stiffener Vertical (a)



325 mm



1.00 Roof & Bottom



Distance between stiffener Horizontal (b)



Yield Stress of Material (Sy)



325 mm



1160.21 kg/cm2



2.90E+07 psi



Modulus Elasticity (E)



###



A 106 B



Stiffener



AMB kg/cm2



Operating Pressure



16,700.00 psi



### CALCULATION



Rectangular tanks are designed for static head of the liquid. No internal or external pressure is considered. In order to satisfy thickness requireement, external stiffeners are provided so that the tank plates do not buckle under the stress developed due to no liquid head. Total volume of tank



11.09 m3



Empty weight of tank



1,108.70 kg



Weight of the liquid in the tank



11,088.00 kg



Total weight of tank with liquid



12,196.70 kg



The Analysis of the tank shell will be done in three parts :



1 Thickness requirement for the top/bottom of the tank 2 Thickness requirement for the side of the tank This thickness analysis would be followed by the check for structural requirement for stiffener. The structural calculation for the adequacy of the structure for lifting of the tank and for operating condition with full liquid along with adequacy check for the lifting lug shall conclude the calculations. A. Thickness requirement for the top/base of tank As per Roark's formula for stress and strain ,Seventh Edition, Table 11.4, Page 508, Case No.8 for a rectangular plate with all edges fixed and load distributed uniformly over the entire plate. The base of the tank can be assumed too be a plate with uniform loading. Total vertical load on the bottom plate (Wl) Total area of the bottom plate (Ab) The load per unit area of the plate (q)



12,196.80 kg 4.00 m2 3,049.20 kg/cm2



0.30492 kg/cm2



The maxmium unstiffened length becomes (a)



325.00 mm



32.50 cm



The maxmium unstiffened width becomes (b)



325.00 mm



32.50 cm



The ratio of length to width (a/b)



29.90 kPa



1.00



Dokumen ini adalah properti PT. PACIFIC PROCESS ENGINEERING yang tidak boleh didistribusikan, digandakan, ataupun disimpan tanpa ijin dari PT. PACIFIC PROCESS ENGINEERING



1



RECTANGULAR TANK THICKNESS CALCULATION



Equipment Name / Tag No.



: RECTANGULAR STORAGE TANK



Project No.



:-



Project Name



: ……



Date



: 9-Mar-2017



PPE Std. Doc. No : PPE-STD-CAL-ME-006



Originated by : TM



Checked by : WS



Input = Blue Font ; Output = Black Font



Approved by : AS



Dokumen ini adalah properti PT. PACIFIC PROCESS ENGINEERING yang tidak boleh didistribusikan, digandakan, ataupun disimpan tanpa ijin dari PT. PACIFIC PROCESS ENGINEERING



2



RECTANGULAR TANK THICKNESS CALCULATION



Equipment Name / Tag No.



: RECTANGULAR STORAGE TANK



Project No.



:-



Project Name



: ……



Date



: 9-Mar-2017



PPE Std. Doc. No : PPE-STD-CAL-ME-006



Originated by : TM



ß1*q b2



Checked by : WS



ß1*q*b2



sqrt(ß1* Input = Blue Font ; Output = Black Font



Approved by : AS



[sqrt(ß1*



Table 11.4 (Roark's formula for Stress & Strain)



a/b 1.0 1.2



ß1



ß2



α



From this value an as per Roark's equation for stress, as per the case mentioned above,



0.3078



0.1386



0.0138



0.3834



0.1794



0.0188



1.4



0.4356



0.2094



0.0226



1.6 1.8



0.4680



0.2286



0.0251



0.4872



0.2406



0.0267



2.0



0.4974



0.2472



0.0277



~



0.5000



0.2500



0.0284



ß2*q*b2



-275.371 kg/cm2



OK..!



###



- Maximum bending stress at the centre : OK..!



0.3078



ß2



0.1386



α



0.0138



### ###



1.00



ß1



sqrt(ß2*



[sqrt(ß2*



123.998 kg/cm2 Ratio (a/b)



ß2*q b2



- Maximum bending stress at the centre of long edge :



Thickness required



tr = sqrt[(ß1*q*b2)/Sa] + CA



5.91 mm



5.91 mm



b2 CA



tr = sqrt[(ß2*q*b2)/Sa] + CA



4.95 mm α*q



Thickness selected



6 mm



tn



OK..!



b4 tn3



Maximum deflection



Ymax = (α*q*b4)/(E*tn3)



Allowable maximum deflection



a/324



0.11 mm 1.00 mm



OK..!



b4 tn3



B. Thickness requirement for the length/width of the tank The maxmium unstiffened height becomes (a)



325.00 mm



32.50 cm



b2



The maxmium unstiffened width becomes (b)



325.00 mm



32.50 cm



CA



1.00



The ratio of length to width (a/b)



b4 tn3



Table 11.4 (Roark's formula for Stress & Strain) a/b



0.6



0.8



1.0



1.2



1.4



1.6



1.8



2.0



ß1



0.1132



0.1778



0.2365



0.2777



0.3004



0.3092



0.3100



0.3068



ß2



0.0410



0.0633



0.0869



0.1038



0.1128



0.1255



0.1157



0.1148



ß3



0.0637



0.0688



0.0762



0.0715



0.0610



0.0509



0.0415



0.0356



q*b2



ß4



0.0206



0.0497



0.0898



0.1249



0.1482



0.1615



0.1680



0.1709



ß*q*b2



ß5



0.1304



0.1436



0.1686



0.1800



0.1845



0.1874



0.1902



0.1908



###



α



0.0016



0.0047



0.0074



0.0097



0.0113



0.0126



0.0133



0.0136



### ###



So, Ratio (a/b)



1.00



Thickness required ß1



5.55 mm



tr = sqrt[(ß*q*b2)/Sa] + CA



###



5.55



ß*q*b2/Sa



ß1



0.2365



ß2



4.54



###



ß2



0.0869



ß3



4.45



###



ß3



0.0762



ß4



4.57



###



ß4



0.0898



ß5



5.15



###



ß5



0.1686



α



0.0074



Thickness selected



tn



Maximum deflection



Ymax = α*q*b4/(E*tn3)



Allowable maximum deflection



a/324



6 mm



OK..!



0.06 mm 1.00 mm



OK..!



Dokumen ini adalah properti PT. PACIFIC PROCESS ENGINEERING yang tidak boleh didistribusikan, digandakan, ataupun disimpan tanpa ijin dari PT. PACIFIC PROCESS ENGINEERING



3



RECTANGULAR TANK THICKNESS CALCULATION



Equipment Name / Tag No.



: RECTANGULAR STORAGE TANK



Project No.



:-



Project Name



: ……



Date



: 9-Mar-2017



PPE Std. Doc. No : PPE-STD-CAL-ME-006



Originated by : TM



ß1*q b2



Checked by : WS



ß1*q*b2



sqrt(ß1* Input = Blue Font ; Output = Black Font



Approved by : AS



Dokumen ini adalah properti PT. PACIFIC PROCESS ENGINEERING yang tidak boleh didistribusikan, digandakan, ataupun disimpan tanpa ijin dari PT. PACIFIC PROCESS ENGINEERING



[sqrt(ß1*



4