Challenge

Project 2

Aim

To design pile foundation of a RCC slab bridge having dimensions “15” m span and “5” m height at abutment and width = 12 meters and having vertical capacity as 300 tonnes and horizontal capacity as 40 tonnes per pile. Also, to design the pile cap and its reinforcement.

Size also to be fixed as per design.
M35 concrete and Fe500 steel.
Scour at abutment 4 meters.
Soil density=20 kn/m3 k=0.33 (active)

1000 mm slab can be assumed for 15 m span (For self weight reactions).

Solution

BASIC DESIGN DATA
Span and Cross section Unit
1 C/c of exp joint = 15 m
2 C/c of bearing = 14 m
3 Dist. Of bearing to exp joint = 0.5 m
4 Total Deck width = 12 m
5 Carriage width = 8.5 m
6 Footpath width (One Side) = 1.5 m
7 Width of Crashbarrier = 1 m
8 Width if median = 1 m
Superstructure Details
1 No of slab = 1 Nos
2 Cantilever on both sides = 0 m
3 Depth od superstructure = 2.1 m
4 Wearing coat thickness = 0.065 m
5 Bearing thickness = 0.15 m
6 Pedestal thickness = 0.25 m
7 Bearing + pedestal thckness = 0.40 m
8 Type of superstructure = RCC Slab bridge
Level
1 Height of Substructure Assumption = 5 m
2 Finish road Level FRL = 100.000 m
3 Bearing Level BRL = 97.300 m
4 Abutment Cap Top level CTL = 97.235 m
5 Abutment Cap Bottom level CBL = 96.235 m
6 Ground Level GL = 93.500 m
7 High Flood Level HFL = 95.900 m
8 Pile Cap top Level = 88.500 m
9 Pile Cap Bottom level = 86.500 m
10 Pile bottom level = 66.500 m
11 Clear Cover for Pile foundation = 75 mm
Material Data
For Abutment cap, Abutment & Pile
Grade of concrete fck = M 35
Design strength of concrete fcd 15.63 Mpa
Modulus of Elasticity of steel
Es = 210000
Modulus of Elasticity of concrete Ec =
Mean tensile strength of concrete fctm = 2.8
Grade of steel fyk = Fe 500
Design strength of steel Fyd 434.78 Mpa
Density of concrete (RCC & PCC) Conc_dens = 2.5 t/m3
Density of weearing course = 2.2 t/m3
Coefficient of Thermal Expansion = 12000000
Shrinkage Strain For Concrete = 20000
Soil Parameters
1 Angle of shear resistance = 30
2 Density of dry backfill = 2 t/m3
3 Density of submerged backfill = 1 t/m4
4 K (active) = 0.33
5 Type of soil = median soil
6 Coefficient of friction = 0.5
7 Horizontal capacity = 40 t
Location Dia (mm) Length Below
Pile Cap bottom
(M)
Allowable
Comp (t)
Allowable
(Uplit)
P22 , P23 12000 20 300 222
Dimension of the abutment
1 Length of abutment at top = 1.6 m
2 Length of abutment at bottom = 0.8 m
3 Width of abutment = 12 m
4 Width of medan wall = 3.5 m
5 Stem thickness = 1 m
6 Dritwall thickness = 0.3 m
7 Depth of abutmernt cap varying = 0.3 m
8 Depth of abutmernt cap uniform = 0.3 m
9 Return wall thickness = 0.5 m
Partial Safety Factors
For Loads
Ultimate Limit State (For Verification Of Structural Strength
Load Basic Comb Seismic Comb
Dead Load 1.35 1.35
SIDL (except surfacing) 1.35 1.35
SIDL (surfacing) 1.75 1.75
Live load and associated
loads (Leading)
1.5 0.2
Live load and associated
loads (Accompanying)
1.15 0.2
Water Current 1 1
Buoyancy 0.15 0.15
Hydrodynamic Effect - 1
Wind (Leading) 1.5 -
Wind (Accompanying) 0.9 -
Seismic Effect (During
service)
- 1.5
Seismic Effect (During
construction)
- 0.75
Serviceability Limit State
Load Rare Comb Quasi- permanent Comb
Dead Load 1 1
SIDL (except surfacing) 1 1
SIDL (surfacing) 1.2 1
Live load and associated
loads (Leading)
1 -
Live load and associated
loads (Accompanying)
0.75 0
Water Current 1 -
Buoyancy 0.15 0.15
Thermal Load (Leading) 1.0 -
Thermal Load
(Accompanying)
0.6 0.5
Wind (Leading) 1.0 -
Wind (Accompanying) 0.6 0
For Material
Material Basic Comb Seismic Comb
Concrete 1.5 1.5
Reinforcing steel 1.15 1.15
Dead Load of Superstructure
DEAD LOAD = 450.000 t
Reaction = 225.000 t
Total reaction on abutment = 225.000 t
Distance betwwen bearing & CL of abutment shaft = 0 m
Longitudinal movement = 0 t-m
Transverser ecentricity of Dl from C/l of abutment = 0 m
Transverser Movement = 0 t-m
SIDL (Excluding wearing course)
Crash barrier weight = 41.25 t
Railing weight = 0 t
Foothpath / service weight = 0 t
Total reaction on abutment = 20.625 t
SIDL ( Wearing course)
Load intensity due to wearing course = 0.22 t
DL of wearing course = 20 t
Total reaction on abutment = 10 t
SUMMARY FORCES
At Bearing Level
Load Item P Load (Min) ML MT HL HT
t t t-m t-m t-m t-m
Dead Load 225.00 225.00 0 0 0 0
SIDL ( Exclding wearing coat) 20.625 20.625 0 0 0 0
SIDL ( wearing coat) 10 10 0 0 0 0
At Abutment Bottom Level
Load Item P Load (Min) ML MT HL HT
t t t-m t-m t-m t-m
Dead Load 225.00 225.00 0 0 0 0
SIDL ( Exclding wearing coat) 20.625 20.625 0 0 0 0
SIDL ( wearing coat) 10 10 0 0 0 0
At Pile Bottom Level
Load Item P Load (Min) ML MT HL HT
t t t-m t-m t-m t-m
Dead Load 225.00 225.00 0 0 0 0
SIDL ( Exclding wearing coat) 20.625 20.625 0 0 0 0
SIDL ( wearing coat) 10 10 0 0 0 0
Live Load
Both Span Loaded
1 Lane 70R- Wheeled
1 Lane Class A
3 Lane Class A
1 Lane Class A + 1 lane 70R - Wheeled
Live Load
1 lane 70 R- Wheeled
Live Load reaction'
Total live load = 100 t
No of lanes = 2 nos
% reduction in live load = 0 %
impact factor - = 1.21
Total load with imact = 121

Live Load reaction
Ra = 81.04 t
Rb = 39.96 t
Vertical Reaction on the abutment = 81.04 t
Breaking force = 24.2 t 20 % of Ra
Change in reaction due to breaking force = 4.2955 t
Maximum Vertical force on abutment = 85.34 t
Minimum Vertical force on abutment = 76.75 t
Total horizontal force at abutment = 12.1 t Fh/2
Breaking Type = POT CUM PTFE

Transverse eccentricity = 2.905 m
Transverse movement = 247.91 t-m
1 lane Class A
Live Load reaction'
Total live load = 50 t
No of lanes = 2 nos
% reduction in live load = 0 % reduction
impact factor - = 1.21 As per IRC 6
Total load with imact = 60.5

Live Load reaction
Ra = 29.99 t
Rb = 30.51 t
Vertical reaction on the abutment = 29.99 t
Breaking force = 12.1 t 20 % of Ra
Change in reaction due to breaking force = 2.14775 t
Maximum Vertical force on abutment = 32.14 t
Minimum Vertical force on abutment = 27.84 t
Total horizontal force at abutment = 6.05 t Fh/2
Breaking Type = POT CUM PTFE

Transverse eccentricity = 4.45 m
Transverse movement = 143.02 t-m
3 Lane Class A
Live Load reaction
Rb = 80.97 t
= 82.38 t
vertical reaction on the abutment = 80.97 t
Breaking force = 13.6125 t 20 % of Ra
Change in reaction due to breaking force = 2.819 t
Maximum Vertical force on abutment = 83.79 t
Minimum Vertical force on abutment = 78.16 t
Total horizontal force at abutment = 6.80625 t Fh/2
Breaking Type = POT CUM PTFE

Transverse eccentricity = 1.45 m
Transverse movement = 121.50 t-m
1 Lane 70R - W + 1 lane Class A
Live Load reaction
Ra = 99.93 t
Rb = 63.42 t
vertical reaction on the abutment = 99.93 t
Breaking force = 24.5025 t 20 % of Ra
Change in reaction due to breaking force = 4.349 t
Maximum Vertical force on abutment = 104.28 t
Minimum Vertical force on abutment = 95.58 t
Total horizontal force at abutment = 12.25125 t Fh/2
Breaking Type = POT CUM PTFE

Transverse eccentricity = 4.2 m
Transverse movement = 437.98 t-m
Summary of Load from Superstructure
Load Item Pmax Pmin ML MT HL HT
t t t-m t-m t-m t-m
1 Lane 70 R - W 81.0 40.0 0.0 247.9 12.1 0.0
1 Lane Class A 30.0 30.5 0.0 143.0 6.1 0.0
3 Lane Class A 81.0 82.4 0.0 121.5 6.8 0.0
1 L 70 R -W + 1 L Class A 99.93 63.43 0.00 437.98 12.3 0.0
Force at Pile Cap bottom level
Load Case Pmax Pmin ML MT HL HT
t t t-m t-m t-m t-m
LL 1 99.93 63.43 0.00 437.98 12.3 0.0
LL 2 99.93 63.43 0.00 437.98 12.3 0.0
AS PER IRC:6
For 70 R - Wheeled
Clear distance = 1.2 m
Width of Wheeled (transverse to traffic direction) = 0.84 m
Width of Wheeled (along traffic direction) = 0.86 m
Total width of vehical = 2.79 m
Width center to center of wheel = 1.95 m
For 70 R - Wheeled
Impact factor
Impact factor = 10.0 % 1.10
Effective Dispersion Width
Dispersion of loads through fills and wearing coat ( at 45degree angle)
b = tyre width along traffic flow = 0.86 m
wc = wearing coat = 0.07 m
d = effective depth of slab = 1.00 m
s = thickness of soil above box = 0.00 m
Hence, dispersion width = 2.99 m
Calculation of effective width
k = constant depending on b/lo = 2.335
lo = effective span = 15 m
x = Distance of center fo gravity from nearest support = 7.5 m
x = Distance of center fo gravity from nearest support = 0.43 m
b = tyre width across traffic flow = 0.84 m
wc = wearing coat = 0.065 m
bt = width of tyre + 2 x thickness of w.c = 0.84 m
Hence, beff for max movement case = 1.342 m
Hence, beff for max vertical load case = 2.99 m
For 70 R - Wheeled = 1000 KN
Pressureon top slab :
(i) Maximum movement case :
UDL due to live load = 78.86 KN/m2
dispersion length of live load in longitudinal direction = 2.99 m
transverse dispersion = 4.24 m
For Class - A
Clear distance = 0.15 m
Width of Wheeled (transverse to traffic direction) = 0.5 m
Width of Wheeled (along traffic direction) = 0.25 m
Total width of vehical = 1.8 m
Width center to center of wheel = 1.3 m
For Class - A
Impact factor
Impact factor = 10.0 % 1.10
Effective Dispersion Width
Dispersion of loads through fills and wearing coat ( at 45degree angle)
b = tyre width along traffic flow = 0.25 m
wc = wearing coat = 0 m
d = effective depth of slab = 1 m
s = thickness of soil above box = 0 m
Hence, dispersion width = 2.25 m
Calculation of effective width
k = constant depending on b/lo = 2.34
lo = effective span = 12.00 m
x = Distance of center fo gravity from nearest support = 6.00 m
x = Distance of center fo gravity from nearest support = 0.13 m
b = tyre width across traffic flow = 0.84 m
wc = wearing coat = 0.00 m
bt = width of tyre + 2 x thickness of w.c = 0.84 m
Hence, beff for max movement case = 14.70 m
Hence, beff for max vertical load case = 2.25 m
For Class A Wheeled = 55.4 KN
Pressureon top slab :
(i) Maximum movement case :
UDL due to live load = 2.93 KN/m2
dispersion length of live load in longitudinal direction = 2.25 m
transverse dispersion = 8.40 m

Summary Forces

Load Item P Load (Min) ML MT HL HT
t t t-m t-m t-m t-m
LL1 - Maximun Reaction 608.40 596.45 0.00 122.03 11.30 0.00
LL2 - Maximun Moment 590.16 587.55 0.00 339.38 5.54 0.00
CALCULATION OF FORCES DUE TO EARTH PRESSURE

Horizontal force due to earth pressure on abutment acts in L-L direction
Width of abutment (Skew) b = 12 m
Horizontal Earth Pressure Coefficient Kah = 0.279
Horizontal Earth Pressure Coefficient Kav = 0.102
Earth pressure
Normal Case -LWL
Foundation Bottom Level
H = Dirtwall top level - Founding level
= 10.8
Horizontal force in long. Dirn. = 0.5*kah*γ*H2*b
= 390.52
Lever arm from foundation bottom = 0.42*H
= 4.536
ML = 1771.39872
Abutment portion
Vertical Force = 142.76
Lever arm from toe = 5.1
ML = 728.076
Summary of forces at Foundation bottom level
Normal Case
P HL ML due to HL ML due to P
t t t-m t-m
LWL 142.76 390.52 1771.39872 728.076
Live Load Surcharge
Normal Case: Abutment portion
Foundation Bottom Level
H = Dirtwall top level - Founding level
= 10.8
Horizontal force = kah*γ*1.2*H*b
= 86.78016
Lever arm = H/2
= 5.4
ML = 468.612864
p HL ML due to HL
t t t-m
LWL 0 86.78016 468.612864
Forces on Abutment
Width of abutment b = 12 m
Return Wall is on one side =
Horizontal distance of CG of abutment shaft from vertical face = 0.5 m
Dirt Wall Bracket
Weight = 4.05 t
Horizontal Lever Arm from bearing c/l = 0.953 m
Dirt Wall
Weight = 28.59 t
Horizontal Lever Arm from bearing c/l = 0.67 m
Abutment Cap
Weight = 25.65 t
Horizontal Lever Arm from bearing c/l = 0 m
Abutment Shaft
Weight = 150 t
Horizontal Lever Arm from bearing c/l = 0 m
Summary Forces
Description Weight Lever arm ML
t m tm
Abutment shaft 150.00 0.95 142.95
Abutment cap 25.65 0.67 17.19
Drit wall bracket 28.59 0.00 0.00
Drit wall 4.05 0.00 0.00
Total 208.29 160.14
Calculation for Backfill Weight
Width of backfill in transverse direction = 11 m
Portion a
Weight = 993.82 t
Hor.Lever Arm from toe in L-L dirn. = 5.26 t-m
Portion b
Weight = 52.6 t
Hor.Lever Arm from toe in L-L dirn. = 2.86 t-m
Portion c
Weight = 1.1 t
Hor.Lever Arm from toe in L-L dirn. = 2.91 t-m
Portion d
Weight = 38.64 t
Hor.Lever Arm from toe in L-L dirn. = 5.9 t-m
Force Summary
Portion Weight Leaver arm ML
t m t-m
a 993.82 5.26 5227.4932
b 52.6 2.86 150.436
c 1.1 2.91 3.201
d 38.64 5.9 227.976
Total 1086.16 16.93 5609.1062
Combination Of Base Pressure
Normal Case
Maximum Reaction case (P)
Load Item Unfactored Forces
Pmax Pmin ML MT HL HT
t t t-m t-m t t
DL (superstructure) 225.0 225.0 82.8 0.0 0.0 0.0
SIDL (Excluding W/C) 20.6 20.6 15.8 0.0 0.0 0.0
SIDL (w/c) 10.0 10.0 30.4 0.0 0.0 0.0
LL1 99.9 63.4 0.0 438.0 12.3 0.0
LL1 ( Intensity) 608.4 596.5 0.0 122.0 11.3 0.0
Sustructure Weight 208.3 208.3 160.1 0.0 0.0 0.0
Earth Pressure Load 142.0 142.0 1771.4 0.0 0.0 0.0
Backfill Weight 1086.2 1086.2 5609.1 0.0 0.0 0.0
Wind Load 0.0 0.0 0.0 0.0 0.0 0.0
Total for unfactored load 2400.4 2352.0 7669.7 560.0 23.6 0.0
Maximum Longitudinal Movement case (ML)
Load Item Unfactored Forces
Pmax Pmin ML MT HL HT
t t t-m t-m t t
DL (superstructure) 225.0 225.0 82.8 0.0 0.0 0.0
SIDL (Excluding W/C) 20.6 20.6 15.8 0.0 0.0 0.0
SIDL (w/c) 10.0 10.0 30.4 0.0 0.0 0.0
LL2 99.9 63.4 0.0 438.0 12.3 0.0
LL2 ( Intensity) 608.4 596.5 0.0 122.0 11.3 0.0
Sustructure Weight 208.3 208.3 160.1 0.0 0.0 0.0
Earth Pressure Load 142.0 142.0 1771.4 0.0 0.0 0.0
Backfill Weight 1086.2 1086.2 5609.1 0.0 0.0 0.0
Wind Load 0.0 0.0 0.0 0.0 0.0 0.0
Total for unfactored load 2400.4 2352.0 7669.7 560.0 23.6 0.0
Maximum Transverse Case
Load Item Unfactored Forces
Pmax Pmin ML MT HL HT
t t t-m t-m t t
DL (superstructure) 225.0 225.0 82.8 0.0 0.0 0.0
SIDL (Excluding W/C) 20.6 20.6 15.8 0.0 0.0 0.0
SIDL (w/c) 10.0 10.0 30.4 0.0 0.0 0.0
LL2 99.9 63.4 0.0 438.0 12.3 0.0
LL2 ( Intensity) 590.2 587.6 0.0 339.4 5.5 0.0
Sustructure Weight 208.3 208.3 160.1 0.0 0.0 0.0
Earth Pressure Load 142.0 142.0 1771.4 0.0 0.0 0.0
Backfill Weight 1086.2 1086.2 5609.1 0.0 0.0 0.0
Wind Load 0.0 0.0 0.0 0.0 0.0 0.0
Total for unfactored load 2382.2 2343.1 7669.7 777.4 17.8 0.0
SUMMARY OF LOAD CASES FOR NORMAL CASE
Load Item Pmax Pmin ML MT HL HT
t t t-m t-m t t
N1 2400.4 2352.0 7669.7 560.0 23.6 0.0
N2 2400.4 2352.0 7669.7 560.0 23.6 0.0
N3 2382.2 2343.1 7540.6 777.4 17.8 0.0
Pile CHECK unfactored
Total no of piles = 8 Nos
Dia of pile = 1.2 m
Distance between the p = 3.6 in both direction
offset on the both ends = 150 mm
Pile No. Longitudinal Transverse n xi2 yi2
xi yi
1 1.8 5.4 1 3.24 29.16
2 1.8 1.8 1 3.24 3.24
3 1.8 -1.8 1 3.24 3.24
4 1.8 -5.4 1 3.24 29.16
5 -1.8 5.4 1 3.24 29.16
6 -1.8 1.8 1 3.24 3.24
7 -1.8 -1.8 1 3.24 3.24
8 -1.8 -5.4 1 3.24 29.16
Sum (n) ∑ (xi2) ∑ (yi2)
8 25.92 129.6

LWL condition 5.1 M
Both Span present condition
Load Case Forces / Moments Load on each pile (Pmax) Horizontal force
Pmax Pmin ML MT 1 2 3 4 5 6 7 8 HL HT Hori Force
t t t-m t-m t t t t t t t t t t t
N1 2400.41 2351.96 7669.72 560.01 250.00 248.22 246.55 245.18 244.92 243.56 242.55 240.51 23.55 0.00
N2 2400.41 2351.96 7669.72 560.01 250.00 248.22 246.55 245.18 244.92 243.56 242.55 240.51 23.55 0.00
N3 2382.17 2343.06 7540.64 777.36 239.00 236.50 235.24 233.88 232.96 230.15 229.55 228.54 17.84 0.00
Combination Of Base Pressure
Maximum Reaction Case P
Load Item Partial
Safety
Factor
Unfactored Forces Factored Forces
Pmax Pmin ML MT HL HT Pmax Pmin ML MT HL HT
t t t-m t-m t t t t t-m t-m t t
DL (superstructure) 1.35 225.00 225.00 82.80 0.00 0.00 0.00 303.8 303.8 111.8 0.0 0.0 0
SIDL (Excluding W/C) 1.35 20.63 20.63 15.84 0.00 0.00 0.00 27.8 27.8 21.4 0.0 0.0 0
SIDL (w/c) 1.75 10.00 10.00 30.44 0.00 0.00 0.00 17.5 17.5 53.3 0.0 0.0 0
LL1 (Leading) 1.5 99.93 63.43 0.00 437.98 12.25 0.00 149.9 95.1 0.0 657.0 18.4 0
LL1 (Accompanying) 1.15 99.93 63.43 0.00 437.98 12.25 0.00 114.9 72.9 0.0 503.7 14.1 0
LL1 ( Intensity) (Leading) 1.5 608.40 596.45 0.00 122.03 11.30 0.00 912.6 894.7 0.0 183.0 17.0 0
LL1 ( Intensity)(Accompanying) 1.15 608.40 596.45 0.00 122.03 11.30 0.00 699.7 685.9 0.0 140.3 13.0 0
Earth Pressure Load (Leading) 1.5 142.00 142.00 1771.39 0.00 0.00 0.00 213.0 213.0 2657.1 0.0 0.0 0
Earth Pressure Load (Accompanying) 1 142.00 142.00 1771.39 0.00 0.00 0.00 142.0 142.0 1771.4 0.0 0.0 0
Sustructure Weight 1.35 208.29 208.29 160.14 0.00 0.00 0.00 281.2 281.2 216.2 0.0 0.0 0
Backfill weight 1.35 1086.0 1086.0 5609.1 0.00 16.9 0.0 1466.1 1466.1 7572.3 0.0 22.9 0
Total LL Leading 3371.9 3299.2 10632.0 840.0 58.2 0.0
LL Accompanying 3053.0 2997.2 9746.3 644.0 49.9 0.0
Maximum Longitudinal Moment Case
Load Item Partial
Safety
Factor
Unfactored Forces Factored Forces
Pmax Pmin ML MT HL HT Pmax Pmin ML MT HL HT
t t t-m t-m t t t t t-m t-m t t
DL (superstructure) 1.35 225.00 225.00 82.80 0.00 0.00 0.00 303.8 303.8 111.8 0.0 0.0 0
SIDL (Excluding W/C) 1.35 20.63 20.63 15.84 0.00 0.00 0.00 27.8 27.8 21.4 0.0 0.0 0
SIDL (w/c) 1.75 10.00 10.00 30.44 0.00 0.00 0.00 17.5 17.5 53.3 0.0 0.0 0
LL1 (Leading) 1.5 99.93 63.43 0.00 437.98 12.25 0.00 149.9 95.1 0.0 657.0 18.4 0
LL1 (Accompanying) 1.15 99.93 63.43 0.00 437.98 12.25 0.00 114.9 72.9 0.0 503.7 14.1 0
LL1 ( Intensity) (Leading) 1.5 608.40 596.45 0.00 122.03 11.30 0.00 912.6 894.7 0.0 183.0 17.0 0
LL1 ( Intensity)(Accompanying) 1.15 608.40 596.45 0.00 122.03 11.30 0.00 699.7 685.9 0.0 140.3 13.0 0
Earth Pressure Load (Leading) 1.5 142.00 142.00 1771.39 0.00 0.00 0.00 213.0 213.0 2657.1 0.0 0.0 0
Earth Pressure Load (Accompanying) 1 142.00 142.00 1771.39 0.00 0.00 0.00 142.0 142.0 1771.4 0.0 0.0 0
Sustructure Weight 1.35 208.29 208.29 160.14 0.00 0.00 0.00 281.2 281.2 216.2 0.0 0.0 0
Backfill weight 1.35 1086.0 1086.0 5609.1 0.00 16.9 0.0 1466.1 1466.1 7572.3 0.0 22.9 0
Total LL Leading 3371.9 3299.2 10632.0 840.0 58.2 0.0
LL Accompanying 3053.0 2997.2 9746.3 644.0 49.9 0.0
Maximum Transverse Movement Case (MT)
Load Item Partial
Safety
Factor
Unfactored Forces Factored Forces
Pmax Pmin ML MT HL HT Pmax Pmin ML MT HL HT
t t t-m t-m t t t t t-m t-m t t
DL (superstructure) 1.35 225.00 225.00 82.80 0.00 0.00 0.00 303.8 303.8 111.8 0.0 0.0 0
SIDL (Excluding W/C) 1.35 20.63 20.63 15.84 0.00 0.00 0.00 27.8 27.8 21.4 0.0 0.0 0
SIDL (w/c) 1.75 10.00 10.00 30.44 0.00 0.00 0.00 17.5 17.5 53.3 0.0 0.0 0
LL1 (Leading) 1.5 99.93 63.43 0.00 437.98 12.25 0.00 149.9 95.1 0.0 657.0 18.4 0
LL1 (Accompanying) 1.15 99.93 63.43 0.00 437.98 12.25 0.00 114.9 72.9 0.0 503.7 14.1 0
LL1 ( Intensity) (Leading) 1.5 590.16 587.55 0.00 339.38 5.54 0.00 885.2 881.3 0.0 509.1 8.3 0
LL1 ( Intensity)(Accompanying) 1.15 590.16 587.55 0.00 339.38 5.54 0.00 678.7 675.7 0.0 390.3 6.4 0
Earth Pressure Load (Leading) 1.5 142.00 142.00 1771.39 0.00 0.00 0.00 213.0 213.0 2657.1 0.0 0.0 0
Earth Pressure Load (Accompanying) 1 142.00 142.00 1771.39 0.00 0.00 0.00 142.0 142.0 1771.4 0.0 0.0 0
Sustructure Weight 1.35 208.29 208.29 160.14 0.00 0.00 0.00 281.2 281.2 216.2 0.0 0.0 0
Backfill weight 1.35 1086.0 1086.0 5609.1 0.00 16.9 0.0 1466.1 1466.1 7572.3 0.0 22.9 0
Total LL Leading 3344.5 3285.9 10632.0 1166.0 49.5 0.0
LL Accompanying 3032.0 2987.0 9746.3 894.0 43.3 0.0
SUMMARY OF LOAD CASES FOR BASIC COMNINATION (LWL CASE)
Load Case No. Live Load
Case
LL
Leading / Accomp
Pmax Pmin ML MT HL HT
t t t-m t-m t t
(C-1)1 LL 1 Case LL Leading 3371.9 3299.2 10632.0 840.0 58.2 0.0
(C-1)2 LL Accompanying 3053.0 2997.2 9746.3 644.0 49.9 0.0
(C-1)3 LL 2 Case LL Leading 3371.9 3299.2 10632.0 840.0 58.2 0.0
(C-1)4 LL Accompanying 3053.0 2997.2 9746.3 644.0 49.9 0.0
(C-1)5 LL 3 Case LL Leading 3344.5 3285.9 10632.0 1166.0 49.5 0.0
(C-1)6 LL Accompanying 3032.0 2987.0 9746.3 894.0 43.3 0.0
Pile Check factor
Column Dmensions
Transverse dimension = 2.5 m
Longitudinal Dimension = 2.5 m
Total No of pile = 8.0 Nos
Dia of Pile = 1.2 m
Pile No. Longitudinal Transverse n xi2 yi2
xi yi
1 1.8 5.4 1 3.24 29.16
2 1.8 1.8 1 3.24 3.24
3 1.8 -1.8 1 3.24 3.24
4 1.8 -5.4 1 3.24 29.16
5 -1.8 5.4 1 3.24 29.16
6 -1.8 1.8 1 3.24 3.24
7 -1.8 -1.8 1 3.24 3.24
8 -1.8 -5.4 1 3.24 29.16
Sum (n) ∑ (xi2) ∑ (yi2)
8 25.92 129.6

Load Case Forces / Moments Load on each pile (Pmax) Horizontal force
Pmax Pmin ML MT 1 2 3 4 5 6 7 8 HL HT
t t t-m t-m t t t t t t t t t t
(C-1) 1 3371.9 3299.2 10632.0 840.0 302.0 300.5 298.7 296.3 295.0 294.0 291.2 290.9 19.7 24.5
(C-1) 2 3053.0 2997.2 9746.3 644.0 295.5 295.5 294.1 292.2 290.5 287.1 286.7 285.0 14.6 14.7
(C-1) 3 3371.9 3299.2 10632.0 840.0 302.0 300.5 298.7 296.3 295.0 294.0 291.2 290.9 19.7 24.5
(C-1) 4 3053.0 2997.2 9746.3 644.0 295.5 295.5 294.1 292.2 290.5 287.1 286.7 285.0 14.6 14.7
(C-1) 5 3344.5 3285.9 10632.0 1166.0 285.2 283.8 282.1 280.7 278.5 276.9 274.9 273.0 17.6 24.5
(C-1) 6 3032.0 2987.0 9746.3 894.0 275.0 272.0 270.2 268.4 265.1 263.9 260.5 258.4 13.0 14.7
HORIZONTAL CAPACITY OF PILE (GRANULAR SOIL)
Pile dia, D = 1.2 m
Grade of concrete = 35 M
Moment of inertia I = 0.101736 m4
Modulus of deformation = 3.20E+04 Mpa
=
EI = 32000000
Free Length of pile "e"
Pilecap bottom lvl-Liquefication lvl = 4 m
e or L1 =
Calculation of length of fixiy (Lf)
N = 60 Blows
ɳh = 8571 kN/m3
T = 3.28E+00 m
e/T = 1.22
zf/T = 1.88
zf = 6.16 m
Max. deflection (Y) = = 0.012
Horizontal pile capacity = 448.1583766 t
Q = 44.81 t
Say = 45 t

MAXIMUM MOMENT IN PILE
Fix End Moment in pile is given by
MF = Q ( L1 + Lf)/2
Therefore,
M = Maximum Moment in Pile
M = m * Q ( L1 + Lf ) /2
= 0.6 * Q * (4 +6.16 )/2
= 3.048 *Q
Therefore Maximum Moment in pile = 3.048 *Q

Circular Pile Moment Capacity checks (ULS) case
Radius of circle = 0.6 m
Cover = 0.075 m
No of bar = 24 Nos
Diameter of bars = 0.025 m
Area of reinforcement = 0.012 m2
Grade of Concrete = 35 M
Ym = 1.5
Grade of Steel = 500 Fe
Ym = 1.15
Area of pile = 1.1304 m2
Area of Steel = 0.012 m2
% Steel = 1.0417 %
Puz = 22791.48522 kN
Level of pile cap Bottom ( founding Level )
Level of pile fixity considered for design = 25.446 m
Depth of fixiy from bottom = 20.272 m
Max Lateral force at piercap bottom = 36.37 kN
Max moment in pile = 106 kN-m
Check for critical loads case
L/C P M Mu Satus
kN kN-m kN-m
Pmax 3499 103 3354 OK
Pmin 898 103 1745 OK
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