Challenge

Week 11 Challenge

Span and Cross-Section::-

Sl No Items Values Units
1 C/c of expansion joint 28 m
2 C/c of bearing 27.2 m
3 Dist. Of bearing to expansion joint 0.4 m
4 Width of the Total Deck 12 m
5 Carriageway width 8.5 m
6 Footpath width (One Side) 1.5 m
7 Width of CB( RHS) 0.5 m
8 Width of CB ( LHS) 0.5 m

Superstructure Details:-

Sl No Items Values Units
1 No of girders 4
2 Spacing of girder 3 m
3 Depth of superstructure 4.2 m
4 WC thickness 0.065 m
5 Bearing thickness 0.065 m
6 Pedestal thickness 0.25 m

Materials Characteristics:-

Sl. No Items Remarks Value Unit
1 Grade of concrete fck 35
2 Design strength of concrete fcd 15.63
3 Grade of Steel fyk 500
4 Design strength of steel fyd 434.78
5 Density of RCC 2.5
6 Density of WC 2.2
7 Coefficient Of thermal expansion of concrete. 1.2 E-05/ c
8 Shrinkage strain 2 E-04
9 Modulus of elasticity of Steel Es 200000 Mpa
10 Modulus of elasticity of Concrete Ecm 32000 Mpa

Level:-

Sl No Items Remarks Level
1 Height of Substructure Assumption 6m
2 Finished road Level FRL 100
3 Bearing Level BRG 97.3
4 Pier Cap Top level CTL 97.235
5 Pier Cap Bottom level CBL 96.235
6 Ground Level GL 93.5
7 High Flood Level HFL 95.9

Abutment Dimension:-

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 median wall 3.5 m
5 Stem thickness 1 m
6 Dirtwall thickness 0.3 m
7 Depth of abutment cap 0.3 m
8 Depth of abutment cap (u) 0.3 m
9 Return wall thickness 0.5 m

Soil Characteristics:-

Sl No Items Values Unit
1 Coefficient Of Friction 0.5
2 Density of soil 2 t/m3
3 Submerged Density of soil 1 t/m3
4 Type of founding strata Sand
5 Type of soil Medium soil

Loadings:-

Dead Load
Total weight of superstructure 560 t
SIDL
Load Intensity due to wearing course 0.22 t/m2
Self weight of crash barrier 0.85 t/m
Foot Path LL
Maximum intensity of footpath live load 500 kg/m2

Load Calculations

Dead Load

Load On superstructure
Dead Load of Superstructure
Total weight of superstructure 560 t
Reaction 280 t
Total reaction on abutment 280 t
SIDL (Excluding WC)
Crash barrier weight 85 t
Total reaction on abutment 42.5 t
SIDL ( WC)
Load intensity due to wearing course 0.22 t
DL of wearing course 40 t
Total reaction on abutment 20 t

Force Summary

At Bearing Level
Load Item P Load (Min) ML MT HL HT
t t t-m t-m t-m t-m
Dead Load 280 280 0 0 0 0
SIDL ( Excluding WC) 42.5 42.5 0 0 0 0
SIDL ( WC) 20 20 0 0 0 0
At Abutment shaft
Load Item P Load (Min) ML MT HL HT
t t t-m t-m t-m t-m
Dead Load 280 280 0 0 0 0
SIDL ( Exclding WC) 42.5 42.5 0 0 0 0
SIDL (WC) 20 20 0 0 0 0
At Foundation bottom
Load Item P Load (Min) ML MT HL HT
t t t-m t-m t-m t-m
Dead Load 280 280 0 0 0 0
SIDL ( Exclding WC) 42.5 42.5 0 0 0 0
SIDL ( wc) 20 20 0 0 0 0

Live Load Calculation:-

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 % reduction
impact factor - 1.1 As per IRC 6
Total load with imact 110

Ra 90.83t
Rb 19.16t

Vertical reaction on the abutment 90.83 t
Breaking force 22 t 20 % of Ra
Horizontal force at the abutment 11 t Fh/2
Bearing POT CUM PTFE
Transverse eccentricity 3.005 m
Transverse movement 272.9442 t-m
1 lane Class A
Live Load reaction'
Total live load 55.4 t
No of lanes 2 nos
% reduction in live load 0 % reduction
impact factor - 1.1 As per IRC 6
Total load with imact 60.94

Ra 37.7t
Rb 17.7t
Vertical reaction on the abutment 37.70 t
Breaking force 11.08 t 20 % of Ra
Horizontal force at the abutment 5.54 t Fh/2
Bearing POT CUM PTFE
Transverse eccentricity 6.35 m
Transverse movement 239.385335 t-m

3-Lane Class A

Ra 101.79T
Rb 47.79T

Vertical reaction on the abutment 101.79 t
Breaking force 11.08 t 20 % of Ra
Horizontal force at the abutment 5.54 t Fh/2
Bearing POT CUM PTFE
Transverse eccentricity 1.55 m
Transverse movement 157.76813 t-m

1 Lane 70R Wheeled+1 Lane of Class A

Ra 115.68
Rb 33.17

Vertical reaction on the abutment 115.68 t
Breaking force 11.08 t 20 % of Ra
Horizontal force at the abutment 5.54 t Fh/2
Bearing POT CUM PTFE
Transverse eccentricity 1.055 m
Transverse movement 122.039 t-m

Force Summary:-

Load Item P Load (Min) ML MT HL HT
t t t-m t-m t-m t-m
1 lane 70 R Wheeled 90.83 19.16 90.83 272.95 11 0
1 Lane Class A 37.7 17.7 37.7 339.38 5.54 0
3 Lane Class A 101.79 47.19 101.79 157.77 5.54 0
Class 70R + 1 lane class A 115.68 33.17 115.68 122.03 11.3 0
Force at pile cap bottom level
Load Item P Load (Min) ML MT HL HT
t t t-m t-m t-m t-m
LL1 - Maximun Reaction 115.68 33.17 114.07 122.03 11.3 0
LL2 - Maximun Moment 37.7 17.7 48.32 339.38 5.54 0

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
H Dirtwall top level - Founding level
10.5
Horizontal force in longitudinal. Dir. 0.5*kah*γ*H2*b
372.64
Lever arm from foundation bottom 0.42*H
4.41
ML 1643.3424
Abutment portion
Vertical Force 136.24
Liver arm from toe 6.5
ML 885.56
Summary of forces at Foundation bottom level
Normal Case(LWL)
p HL ML due to HL ML due to P
t t t-m t-m
136.24 372.64 1643.34 885.56
Live Load Surcharge
Normal Case: Abutment portion
Foundation Bottom Level
H Dirtwall top level - Founding level
10.5
Horizontal force kah*γ*1.2*H*b
84.37
Lever arm H/2
5.25
ML 442.943
HL ML due to HL
t t-m
LWL 84.37 442.943

Forces on Abutment and Foundations:-

Substructure
Abutment
Length ( Longitudinal ) 12 m
Length ( Transverse ) 1.6 m
Height 0.3 m
Volume 5.76 m3
Weight 14.4 t
Trapezoidal Part
Top Length 12.5 m
Bottom Length 12.5 m
Top width 1.6 m
Bottom width 0.8 m
Height 0.3 m
Volume 4.5 m3
Weight 11.25 t
Total weight of pier cap 25.65 t
Abutment Shaft
Length ( Longitudinal ) 12.5 m
Length ( Transverse ) 0.8 m
Height 6 m
Volume 60 m3
Weight 150 t
Dirt Wall Bracket
Weight 4.05 t
Horizontal Lever Arm from bearing centreline 0.953 m
Dirt Wall
Weight 28.59 t
Horizontal Lever Arm from bearing centreline 0.67 m
Abutment Cap
Weight 25.65 t
Horizontal Lever Arm from bearing centreline 0 m
Abutment Shaft
Weight 150 t
Horizontal Lever Arm from bearing centre line 0 m

Summary of Forces:-

Description Weight Lever arm ML
t m tm
Abutment shaft 150 0.95 142.95
Abutment cap 25.65 0.67 17.19
Dirt wall bracket 28.59 0 0
Dirt wall 4.05 0 0
Total 208.29 1.62 160.14

Backfill Weight Calculation:-

Width of backfill in transverse direction 11.5 m
Portion a
Weight 993.82 t
Horizontal Lever Arm from toe in L-L dirn. 5.26 t-m
Portion b
Weight 52.6 t
Horizontal Lever Arm from toe in L-L dirn. 2.86 t-m
Portion c
Weight 1.1 t
Horizontal Lever Arm from toe in L-L dirn. 2.91 t-m
Portion d
Weight 38.64 t
Horizontal Lever Arm from toe in L-L dirn. 5.9 t-m

Summary of Forces:-

Portion Weight Leaver arm ML
t m t-m
a 993.82 5.26 5227.49
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 5609.11

Load Combinations:-

Maximum Reaction Case ( With EP Load )
Loads P MAX P MIN ML MT HL HT
Dead load 280 280 0 0 0 0
SIDL 1 42.5 42.5 0 0 0 0
SIDL 2 20 20 0 0 0 0
LL1 115.68 115.68 114.07 122.03 11.3 0
Earth pressure 136.24 136.24 1643.35 339.38 5.54 0
Live load surcharge 0 0 442.95 885.56 0 0
Weight of Substructure 208.29 208.29 160.14 0 0 0
Weight of Pile Foundation 198.34 198.34 0 0 0 0
Total 1001.05 1001.05 2360.51 1346.97 16.84 0
Maximum Reaction Case ( Without EP Load )
Loads P MAX P MIN ML MT HL HT
Dead load 280 280 0 0 0 0
SIDL 1 42.5 42.5 0 0 0 0
SIDL 2 20 20 0 0 0 0
LL1 115.68 115.68 114.07 122.03 11.3 0
Earth pressure 0 0 0 0 0 0
Live load surcharge 0 0 0 0 0 0
Weight of Substructure 208.29 208.29 t-m 0 0 0
Weight of Pile Foundation 198.34 198.34 0 0 0 0
Total 864.81 864.81 114.07 122.03 11.3 0
Combination of load design FOR foundation
Maximum Reaction Case P
Load Item Partial Unfactored Forces Factored Forces
Safety Pmax Pmin ML MT HL HT Pmax Pmin ML MT HL HT
Factor t t t-m t-m t t t t t-m t-m t t
DL (superstructure) 1.35 280 280 0 0 0 0 378 378 0 0 0 0
SIDL (Excluding W/C) 1.35 42.5 42.5 0 0 0 0 57.4 57.4 0 0 0 0
SIDL (w/c) 1.75 20 20 0 0 0 0 35 35 0 0 0 0
LL1 (Leading) 1.5 115.68 115.68 114.07 122.03 11.3 0 173.5 173.5 171.1 183 17 0
LL1 (Accompanying) 1.15 115.68 115.68 114.07 122.03 11.3 0 133 133 131.2 140.3 13 0
Thermal Load (Accompanying) 0 0 0 0 0 0 0 0 0 0 0 0 0
Sustructure Weight 1.35 208.29 208.29 0 0 0 0 281.2 281.2 0 0 0 0
Weight of soil on footing 1.35 1086 1086 0 0 16.9 0 1466.1 1466.1 0 0 22.9 0
Weight of footing 1.35 198.34 198.34 0 0 0 0 267.8 267.8 0 0 0 0
Wind Load (Leading) 1.5 0 0 0 0 0 0 0 0 0 0 0 0
Wind Load (Accompanying) 0.9 0 0 0 0 0 0 0 0 0 0 0 0
Total LL Leading 2658.9 2658.9 171.1 183 39.8 0
LL Accompanying 2618.5 2618.5 131.2 140.3 35.9 0
Maximum Transverse Movement Case (MT)
Load Item Partial Unfactored Forces Factored Forces
Safety Pmax Pmin ML MT HL HT Pmax Pmin ML MT HL HT
Factor t t t-m t-m t t t t t-m t-m t t
DL (superstructure) 1.35 280 280 0 0 0 0 378 378 0 0 0 0
SIDL (Excluding W/C) 1.35 42.5 42.5 0 0 0 0 57.4 57.4 0 0 0 0
SIDL (w/c) 1.75 20 20 0 0 0 0 35 35 0 0 0 0
LL3 (Leading) 1.5 37.7 37.7 48.32 339.38 5.54 0 56.6 56.6 72.5 509.1 8.3 0
LL3 (Accompanying) 1.15 37.7 37.7 48.32 339.38 5.54 0 43.4 43.4 55.6 390.3 6.4 0
Thermal Load (Accompanying) 0 0 0 0 0 0 0 0 0 0 0 0 0
Sustructure Weight 1.35 208.29 208.29 0 0 0 0 281.2 281.2 0 0 0 0
Weight of soil on footing 1.35 1086 1086 0 0 16.9 0 1466.1 1466.1 0 0 22.9 0
Weight of footing 1.35 198.34 198.34 0 0 0 0 267.8 267.8 0 0 0 0
Wind Load (Leading) 1.5 0 0 0 0 0 0 0 0 0 0 0 0
Wind Load (Accompanying) 0.9 0 0 0 0 0 0 0 0 0 0 0 0
Total LL Leading 2542 2542 72.5 509.1 31.2 0
LL Accompanying 2528.8 2528.8 55.6 390.3 29.2 0

Summary of Force

Load Case No. Live Load LL Pmax Pmin ML MT HL HT
Case Leading / Accomp t t t-m t-m t t
1 LL 1 Case LL Leading 2658.9 2658.9 171.1 183 39.8 0
2 LL Accompanying 2618.5 2618.5 131.2 140.3 35.9 0
3 LL 2 Case LL Leading 2542 2542 72.5 509.1 31.2 0
4 LL Accompanying 2528.8 2528.8 55.6 309.3 29.2 0

Pile Check:-

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
8 25.92 129.6
Force / Moment Load on each pile (Pmax) Horizontal force
Pmax Pmin ML MT 1 2 3 4 5 6 7 8 HL HT Horizontal Force
t t t-m t-m t t t t t t t t t t t
N1 2658.95 2658.95 171.11 183.05 351.88 346.79 341.71 336.62 328.11 323.03 317.94 312.86 13.1 16.35
N2 2541.98 2541.98 72.48 509.07 343.99 329.85 315.71 301.57 333.92 319.78 305.64 291.5 13.1 16.35
Maximum Compression capacity of pile 390 t
Maxiimum uplift allowed -222 t
Normal (pmax) 351 t
Maximum Axial force 291.5 t
Minimum Axial force 259 t
Max horizontal force 95 t
2.62 t

Hor. Capacity of the Pile:-

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 3.572 m
e or L1
Calculation of length of fixiy (Lf)
N 60 Blows
ɳh 8571 kN/m3
T 3.28E+00 m
e/T 1.09
zf/T 1.88
zf 6.16 m
Max. deflection (Y) = 0.012
Horizontal pile capacity 509.9250432 t
Q 50.95 t
Say 50 t

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 22791.5 kN
Level of pile cap Bottom ( founding Level )
Level of pile fixity considered for design 26.584 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 M Mu Satus
kN-m kN-m
Pmax 106 3487 OK
Pmin 106 1875 OK

2) List out different components of pile foundations and calculate kg/cumec (poundage) steel quantity in the pile.

The main components of the foundation are the pile cap and the piles. Piles are long and slender members which transfer the load to deeper soil or rock of high bearing capacity avoiding shallow soil of low bearing capacity The main types of materials used for piles are Wood, steel and concrete.

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