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design steps for 3 pile based pilecap
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6 of 45SUBJECT : # Page :
PROJECT : #
CONTRACT : #
#CALC. No. #
PILE CAP FOR 3 PILE GROUP(3PC1)
A) Pile Cap Details & Load CalculationsPile Cap Details
Size of pile cap Length Lx = m
Lx1 = m
Width Lz = m
Lz1 = m
Depth of the pile cap Hpc = m
Height of soil below HPP h1 = 100 - 99
m
Pedestal Details
Size of Column/Pedestal Height Hp = m
Length lx = m
Width lz = m
Centre of the pedestal from to top edge of pile cap l = m
Z
Design Sheet Axis
P1 l
C.L of Fdn
ZP3 Staad Model Axis
C.L of Fdn
(U/S of base plate) EL
40 thk Grout
EL
2.80
H.P.P
H = 750x750
EL
EL
400
100.000
As the column centre line is located in line with the centre of the piles P1 & P2 and placed in between the piles. So, considered the pile cap acting like a two pile cap with pile P1 & P2 tied with the another pile P3.
2000
100.300
99.000
1500
97.500
750
Based on the above assumption, super structure loads i.e., vertical load(Fy), horizontal loads in z-direction(Fz) and respective moment(Mx) are transferred through piles P1 & P2 and remaining loads horizontal loads in x-direction(Fx) and respective moment(Mz) are transferred through piles P1, P2 & P3.
1850
400
0.80
400
P2 400
1200
SAFETY CALC.:
6.175
0
#REF!
1.850
0.750
2.000
1.000
1.300
X
These pile caps provided at three locations in north west of the platform columns. The staad reactions from the steel structure received from IEC and the reactions are converted into forces on foundations with respect to design sheet access as given below. Reactions have been attached in Appendix-A for reference.
0.750
1.50
APPROVERCHECKER
#REF! #REF!#REF!
X
REV. DATE ORIGINATOR
#REF!
400
650
0.75
0.75
7 of 45SUBJECT : # Page :
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CONTRACT : #
#CALC. No. #
SAFETY CALC.:
#REF!
APPROVERCHECKER
#REF! #REF!#REF!
REV. DATE ORIGINATOR
#REF!
Pile Details
1
2
Total number of piles n =
Number of piles in line with column in Z-direction n1 =
C.G of the pile group xg = (x )/n = m
C.G of the pile group zg = (z )/n = m
Lever arm between the piles about Z axis Zzz = x1 - x3
m
Section Modulus of Pile group about X axis Zxx = z1 - z2
m
Self Weight of Foundation
Area of pile cap Apc = Lz*Lx1+0.5*(Lz+Lz1)*(Lx-Lx1)
= 2*0.75+0.5*(2+0.75)*(1.85-0.75)
= m2
Area of Pedestal Apd = lz * lx= 0.75*0.75
= m2
Area of soil above the pile cap As = Apc -Apd
= 3.01-0.5625
= m2
Weight of the pile cap Wpc = Apc*Hpc*c
= (3.01*1.5*24)= kN
Weight of the Pedestal Wpd = Apd*Hp*c
= (0.56*1.3*24)= kN
Weight of the soil above the pile cap Ws = As*h1*s
= (2.45*1*18)= kN
Consider Surcharge Load = 10 kN/m2 Wsur = 10*As
= 10*2.45
= kN
Total weight of foundation excluding surcharge weight W = Wpc+Ws+Wpd
= 108.45+44.1+17.55= kN
Total weight of foundation including surcharge weight. W = Wpc+Ws+Wpd+Wsur
= 108.45+44.1+17.55+24.5= kN
Eccentricity of the Pile Cap
C.G of the pile cap weight from top edge of pile cap =
in X-direction
=
= m
194.6
(2 0.75 0.75/2+0.5 (2+0.75) (1.850.75)*(0.75+1/3*(2*0.75+2)/ (2+0.75)))/ (2*0.75+0.5*(2+0.75)*(1.85-0.75))
0.776
(Lz*Lx1*Lx1/2+0.5*(Lz+Lz1)*(Lx-Lx1)*(Lx1+1/3*((2*Lz1+Lz)/ (Lz+Lz1)))/ (Lz*Lx1*Lx1/2+0.5*(Lz+Lz1)*(Lx-Lx1))
17.55
44.10
24.50
170.1
1.200
0.400m m
3.01
0.56
2.45
3
108.45
1.050
2
0.400
3.000 2.250
P1 0.400
3 P3 1.000 1.450
P2 1.600
S.No Pile No.z x
0.750
1.000
8 of 45SUBJECT : # Page :
PROJECT : #
CONTRACT : #
#CALC. No. #
SAFETY CALC.:
#REF!
APPROVERCHECKER
#REF! #REF!#REF!
REV. DATE ORIGINATOR
#REF!
Load Calculations
Foundation dead weight on piles * -170.1*0.25 =
** -194.6*0.25
Each support is checked for all the unfactored load combinations and only critical load cases are summarised.
a) Loads at the top of pedestal
b) Loads at the bottom of pile cap(Except Dead Weight of Foundation)
FXB = FX MXB = MX + FZ * H
FYB = FY MZB = MZ - FX * H
FZB = FZ
B) Analysis of Pile Group
a) Check for compression capacity of the pile
Maximum compression load on the Pile
Node No. , L.C
Max compressive load, P1 = FYB/n1 + Fsd - MXB/Zxx - MZB/(Zzz*n1)
= CHECK N.No. & L.C
= kN
P2 = FYB/n1 + Fsd + MXB/Zxx - MZB/(Zzz*n1)
= CHECK N.No. & L.C
= kN
P3 = Fsd - MZB/(Zzz)
= CHECK N.No. & L.C
= kN
The Pile capacity increased by 25%, as the critical loads are combination of the wind loads
1300
1300
1200
649 1400
649 1400
603
629
603
1300
1300
1200
603
629
603
1200 522.2 870.0
-40.1 -422.77 98.64
316.7 Safe!
Safe!
P3
870.0
Check
98.6 870.0
-445.09 258.64
-173.60
Safe!
Safe!
P1
48.65** 48.65
-230.36
-229.60 0.00 -1.40
97.3
Pile-P1 Pile-P2 Pile-P3
42.53* 42.53 85.05Without Surcharge Load(Fd)
With Surcharge Load(Fsd)
3
S.NoSTAAD
NodeNo.Load comb
Pmax Pmax,allow
4 649 1400
1300
1 603
522.18 517.52
792.34 503
2 629
262.64
-162.29
603
-2.80 0.00
kN kN
603 110
CHECK
4 0.50 -561.50 -82.00
258.6 870.0
792.31300
P2
Pile Loads (kN)
0.00 -173.60
2 60.50 -866.00 -60.60 -169.68 0.00 -169.40
1 62.00 1032.70 -62.00
3 82.27 723.00 -1.00
MYB MZB
kN kN kN kNm kNm kNmSTAAD
NodeNo.Load comb
FXB FYB FZB MXB
0.00 0.00 0.00
4 0.50 -561.50 -82.00 0.00 0.00 0.00
0.00 0.00 0.00
2 60.50 -866.00 -60.60 0.00 0.00 0.00
1 62.00 1032.70 -62.00
CHECK
3 82.27 723.00 -1.00
S.No
kN kN kN kNm kNm kNmS.No
STAAD NodeNo.
Load combFX FY FZ MX MY MZ
C.G of the pile group and the pile cap are closer to each other. So, consider the 50% of the dead weight due to self weight of the pile cap and soil weight transferring through pile P3 and remaining 50% equally shared by piles P1 and P2.
Max.Vertical
ECK N.No. &
Min.Vertical
Max.Hor
Min.Hor
9 of 45SUBJECT : # Page :
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SAFETY CALC.:
#REF!
APPROVERCHECKER
#REF! #REF!#REF!
REV. DATE ORIGINATOR
#REF!
b) Check for tension capacity of the pile
Minimum load on the Pile
Node No. , L.C
Min compressive load, P1 = FYB/n1 + Fd - MXB/Zxx - MZB/(Zzz*n1)
= CHECK N.No. & L.C
= kN
P2 = FYB/n1 + Fd + MXB/Zxx - MZB/(Zzz*n1)
= CHECK N.No. & L.C
= kN
P3 = Fd + MZB/(Zzz)
= CHECK N.No. & L.C
= kN
The Pile capacity increased by 25%, as the critical loads are combination of the wind loads
The tension capacity of the piles at node 12 need to increase by increasing the length of the reinforcement in the pile.
c) Check for shear capacity of the pile
Resultant Horizontal Force
Node No. , L.C
Min compressive load, P1 = Sqrt((Fx/n)^2 + (Fz /n1)^2)
= CHECK N.No. & L.C
= kN
P2 = Sqrt((Fx/n)^2 + (Fz /n1)^2)
= CHECK N.No. & L.C
= kN
P3 = Fx/n
= CHECK N.No. & L.C
= kN
The Pile capacity increased by 25%, as the critical loads are combination of the wind loads
36.4 36.4 20.17
P3
786.22 496.88
110
37.26
CHECK
CHECK
37.26 20.67
Check
P3
Unsafe!
Safe!
Safe!
Safe!
Safe!
Safe!
Safe!
Check
3 603 1200 27.4 87.027.43 27.43 27.43
2 629 1300 36.4 87.01 603 1300 37.3 87.0
S.NoSTAAD
NodeNo.Load comb
Hmax Hmax,allow
kN kNPile Loads (kN)
P1 P2
4 649 1400 -428.9 -450.0-46.22 -428.89 83.72
3 603 1200 -134.4 -450.0516.06 511.4 -134.35
2 629 1300 -451.2 -450.0-168.41 -451.21 -76.29
1 603 1300 -80.3 -450.0-80.29
S.NoSTAAD
NodeNo.Load comb
Pmin Pmin,allow
kN kN
Pile Loads (kN)
P1
12 127
12
CHECK
P2
ECK N.No. &
ECK N.No. &
CHECK