14 0 3 MB
DESIGN OF PILED SLAB I. MATERIAL PROPERTIES & DIMENSION 1.1. Concrete Grade : Compressive Strength at 28 days (cylinder test) : Allowable compressive stress due to bending : Modulus of elasticity : 1.2. Reinforcing Steel Grade : Yield Stress : Modulus of elasticity
K-
250 30.00 Mpa 12.00 Mpa 25742.96 Mpa
420.00 Mpa 200000.00 Mpa
:
1.3. Soil Angle of Internal Friction f Soil Pressure Coefficient Ka ( Active ) Soil Pressure Coefficient Kea ( Earthquake )
30.00 0.33 0.46
o
1.4. Unit Weight 1. Concrete 2. Asphalt 3. Soil 4. Water
25.00 22.00 18.00 10.00
kN/m3 kN/m3 kN/m3 kN/m3
2
1.5. Dimension iD
1D
1
Pile Ø 80
iB
1B
iA
1A
5D
Lane-B
iC
1C
1.25
iD iC
5C
iB
5B
Lane-A
5A
2
PLAN 5m
3
25 m x 5 m
0.35 0.60
0.60 L1 =
L2 =
1j
ij
5m
1.20 0.60
10
30.00
SECTION 1-1
Pile Ø 80
ij
2.50 2.50
iA
25 m
2.50
5j
1.25
1
Number of Lane :
2 10.00
1.50
3.50
3.50
Lane-A L1 =
1.50
Lane-B
10.00
Pile Ø 800
L2 = 30.00
iA
1.25
iB
2.50
iC 2.50
iD 2.50
1.25
SECTION 2-2 II. SECTION ANALYSIS 1200 Y
600 X
Height Width Area Inertia cog x cog y
= = = = = =
600 1200 720000 2.16E+10 300 600
mm mm mm2 mm4 mm mm
III. LOADINGS 3.1. Dead Load Barrier Area A =
0.39
LF = 1.30 Beban barrier =
m2
9.78 kN/m
0.05 0.25
0.2
0.6 1.15 0.15 0.4
Seg ment 1 2 3 4 5
Height m 0.60 0.60 0.15 0.15 0.40
Width m 0.20 0.05 0.25 0.25 0.50
0.5 3.2. Superimposed Dead Load 0.1 a. Asphalt t = m 0.1 b. Water t= m 3.3. Live Load a. Truck Load TA T1 = T2 = T3 =
T1 =
T2 =
b. D Load (UDL & KEL) - UDL - KEL
LF = 2.00 AS = Wtr =
LF = 1.80 Impact Factor = 50.00 kN TA1 = 225 kN TA2 = 225 kN TA3 =
Area m2 0.12 0.02 0.04 0.02 0.20 0.39
2.20 kN/m2 1 kN/m2
1.30 65.00 kN 292.5 kN 292.5 kN
T3 =
LF = 1.80 q= p= =
9.00 kN/m2 49 kN/m 68.60 kN/m
x
1.4
3.4. Braking Force - UDL q' = - KEL p= - TRUCK T= Total Live Load 1 = - TRUCK T= Total Live Load 2 =
LF = 1.80 9.00 9.8 12.86 31.66
kN/m2 kN/m2 kN/m2 kN/m2
12.86 kN/m2 12.86 kN/m2
5% x Total Live Load 1 = 1.58 25% x Total Live Load 2 = 3.21 Braking Force Hb (Max) = 3.21 3.5. Thermal Upper Building Type Bridge Temperature Minimum average Bridge Temperature Maximum average Uniform Gradient Ekspansi Termal Koefisien A 3.6. Earthquake Load
kN/m2 kN/m2 kN/m2 LF = 1.20 Lantai Beton diatas gelagar atau box beton 15 o C 40 o C 25 o C 6.9 o C 1.10E-05 per o C
1.0 LF = (for ULS) Earthquake Load applied using Dynamic Method with Response Spectrum, with the parameters as follows: 1 Importance Factor : Lainnya 2 Site Classification : Tanah Sedang-(SD) Bore Hole (BH-81) ti (m) N t/N NO 2 9 0.22 1 2 54 0.04 2 2 60 0.03 3 2 60 0.03 4 2 60 0.03 5 2 60 0.03 6 2 60 0.03 7 2 60 0.03 8 2 60 0.03 9 2 60 0.03 10 2 60 0.03 11 2 60 0.03 12 2 60 0.03 13 2 60 0.03 14 2 60 0.03 15
ti
t
N
30
0.69
m
N
ti i t
ti i 1 N m
30 0.69
=
43.32
Tanah Sedang-(SD)
a Superstructure Static Earthquake Load Response modification factor, R Case Period (T) C Elastic (C) Coefficient of seismic load, kH
= = = = =
3 (Longitudinal) Modal 1 1.2865 0.7 C/R = 0.2333
Response modification factor, R Case Period (T) C Elastic (C) Coefficient of seismic load, kH Dead Load Barrier Asphalt W
= = = = = = = = =
5 (Transversal) Modal 2 1.175 1 C/R = 0.2 4344.64 kN 489.0625 kN 550 kN 5383.71 kN
EQ.X EQ.Y
= =
1256.20 1076.74
kN kN
(Direction Longitudinal) (Direction Transversal)
b Substructure Static Earthquake Load Response modification factor, R Case Period (T) C Elastic (C) Coefficient of seismic load, kH
= = = = =
1 (Longitudinal) Modal 1 0.916 0.7 C/R = 0.7
Response modification factor, R Case Period (T) C Elastic (C) Coefficient of seismic load, kH
= = = = =
1 (Transversal) Modal 2 0.62 1 C/R = 1
Dead Load Barrier Asphalt W
= = = =
4344.64 489.0625 550 5383.71
kN kN kN kN
EQ.X EQ.Y
= =
3768.59 5383.71
kN kN
IV. SPRING CONSTAN BH-81 Dept Dist. NSPT (m) (m) 0 2 2 9 2 4 54 2 6 60 2 8 60 2 10 60 2 12 60 2 14 60 2 16 60 2 18 60 2 20 60 2 22 60 2 24 60 2 26 60 2 28 60 2 30 60
Dia. Pile (cm)
K kN/m3
80.00 80.00 80.00 80.00 80.00 80.00 80.00 80.00 80.00 80.00 80.00 80.00 80.00 80.00 80.00
18841.3946 113048.368 125609.298 125609.298 125609.298 125609.298 125609.298 125609.298 125609.298 125609.298 125609.298 125609.298 125609.298 125609.298 125609.298
Spring kN/m 15073.12 30146.23 180877.39 200974.88 200974.88 200974.88 200974.88 200974.88 200974.88 200974.88 200974.88 200974.88 200974.88 200974.88 200974.88 200974.88
V. PILE DESIGN P Allowable Pile Distance Group Efficiency P. All Normal (Reduction)
=
Moment Ultimate Virtual Fixing Point
=
= = =
=
206.27 Ton 2.50 m 0.8268 1672.9 kN 120 10
Ton.m m
10 m
=
2023.51 kN 3.13 D
= 1177.20 From Existing
kN.m
5.1. Reaction of Pile Vertical Load (Bottom Pile) : -Serviceability Limit States (SLS) Moment (Pile) : -Serviceability Limit States (SLS) -Ultimate Limit States (ULS)
=
= =
768.00 kN
230 815
kN.m kN.m
-------->
Moment Capacity Check a 69.50289 mm Mn 1.22E+09 Nmm Main Bar Resume Position Numb Top
229000000 N-mm (Negative)
7
=
Dia. mm 32
< act --- OK !! > act --- OK !!
1218.2992 kN.m ----->
> Mu ---> OK !!
REINFORCEMENT CALCULATION fc' = fy =
35 Mpa 420 Mpa
Beam 1 x 0.7 ( Bottom )
0.65 As 0.05 1.2 Moment d b b f a
117.00 kN.m
=
650 mm 1200 mm 0.81 0.8 6.647751 mm
Reinforcement Position :
Bottom
As req Use Dia. Numb req
478.6381 mm2 32 mm 7 bars
As
5629.734 mm2
r act r min r max
0.007218 0.003333 0.025313
--------> -------->
Moment Capacity Check a 69.50289 mm Mn 1.45E+09 Nmm Main Bar Resume Position Numb Bottom
117000000 N-mm (Positive)
7
=
Dia. mm 32
< act --- OK !! > act --- OK !!
1454.7480 kNm ----->
> Mu ---> OK !!
Shear Design : f= Ultimate Shear Vu-I = = Conc Cap Vc = Vn =
930000 N 7.71E+05 N 1328571.4 N ------>
Minimum Avs =
0.00 mm2/mm
Steel Cap Req Vs = Max Vs =
557942.88 N 2.60E+06 N ------>
Used Dia = Required Avs =
16 mm 2.42 mm2/mm
0.7 930 kN
Shear Reinf required Minimum Shear Reinf required Max spacing Control : S-max = 325
137.5 225 300 137.5
450 600 325
OK !
S-max =
325 mm
Torsion Design : Ultimate Torsion Tu-I = = Nominal Torsion Tnd = Conc Cap Tc =
214 2.14E+08 3.06E+08 7.10E+07
kN.m N.mm N.mm N.mm
Acp = Pcp = Aoh = Poh =
720000 3600 605000 3300
mm2 mm mm2 mm
Note : Torsion effect should be calculated Dia = Required Ats =
16 mm 0.74 mm2/mm
Close Stirrups Design due to Shear and Torsion : Legs No.Used nk = Close Stirrups Avts = Dia = Stirrup with 2 legs An = Spacing req. = Spacing used =
5 3.90 16 1005 258 150
bars mm2/mm mm mm2 mm mm -------->
Max spacing Control : S-max = 412.5 mm
S-max =
300 mm 325 mm 300 mm --------
OK !
OK !
Minimum Stirrup Control : Min stirrup Avm = Used stirrup Av =
158 mm2 362 mm2
7D 32
Resume of Stirrup Reinforcement : Legs No.nk = Dia = Spacing used =
5 16 mm 150 mm
D16-150
600 7D 32 1200
VIII. REINFORCEMENT CALCULATION SLAB t = 350 mm A. Edge K 250 fc' = 35.00 Mpa fy = 1674.00 Mpa A.1. Section As
0.05 0.3
2.5 Moment d b b f a
507.50 kN-m
= 507500000 N-mm (Negative)
300.00 mm 2500.00 mm 0.81 0.80 31.49 mm
Reinforcement Position : As req As min As use Use Dia. Numb req Dist. s Numb As r act r min r max
1333.16 627.24 1333.16 12 12 218.18
Top mm2 mm2 mm2 mm bars mm ------->
0.0020 0.0008 0.0028
Main Bar Resume Position Dia. mm
fc' = fy = A.2. Section
200 mm
13 bars 1470.27 mm2
12
< act --- OK !! > act --- OK !!
--------> -------->
Moment Capacity Check a 34.73 mm Mn 556506159.50 Nmm
Top
Use :
556.51 kN-m -----> > Mu ---> OK !!
=
Dist. mm 200
35.00 Mpa 1674.00 Mpa
0.3 As 0.05 2.5
Moment d b b f a
1022.00 kN-m
= 1.022E+09 N-mm (Positive)
300.00 mm 2500.00 mm 0.81 0.80 67.73 mm
Reinforcement Position : As req As min As use
Bottom
2867.49 mm2 627.24 mm2 2867.49 mm2
Use Dia.1 Numb req Dist. s Numb As1
29 11 240.00 10 6605.20
mm bars mm -------> bars mm2
Use
250 mm
Use Dia.2 Numb req Dist. s Numb As2
25 11 240.00 10 4908.74
mm bars mm -------> bars mm2
Use
250 mm
As tot r act r min r max
11513.94 mm2 0.0154 0.0008 0.0028
--------> -------->
Moment Capacity Check a 271.95 mm Mn 2529191330.89 Nmm Main Bar Resume Position Dia. mm Bottom
=
< act --- OK !! < act --- Change !!
2529.19 kN-m -----> > Mu ---> OK !!
Dist. mm
29 25
250 250
Shear Reinforcement Span= f= Vu = = Vc = fVc =
2.75 0.70 844.00 844000.00 740988.99 518692.29
m kN N N N
Vs = Take S = Av-req = Use Dia. = Min. Leg req.= Av = Max Leg Dist.=
464725.29 300.00 277.61 13 3 1061.86 312.50
N mm (longitudinal dir.) mm2 mm bars ->Use 8 bars mm2 > req --- OK !! mm take : 300.00 mm (transversal dir.)
< Vu ---> Requires Stirrups !!
Shear Reinforcement Summary Number bars Position Diameter mm Longt. Transv Endspan Midspan
13 13
3 3
9 9
Distance mm Longt. Transv 300 600
300 300
X. MODELLING AND OUTPUT OF STRUCTURE 10.1. View
10.2. Long Section
10.3. Cross Section
10.4. Moment 3-3 ( Envelope SLS )
10.5. Moment 3-3 ( Envelope ULS )
10.6. Moment 2-2 ( Envelope SLS )
10.7. Moment 2-2 ( Envelope ULS )
10.8. Axial ( Envelope SLS )
10.9. Mode Shape 1 - Period 1.2865 sec
10.10. Mode Shape 2