Gravity Wall Design

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2mGRAVITY RETAINING WALL DESIGN

Initial ParametersDensity of Rubble Wallr24kN/m3Density of Soils18kN/m3Density of Concretec24kN/m3H14.00mH20.60md0.25mB10.000mB23.58mB30.000mSurcharge load S5.00kN/m2Bearing capacityall200kN/m2Inclined angle of wall851.48radInclined angle of soil on top00.00radFriction angle of soil300.52radKa0.33Kp3.00Depth of shear keyhs0.75m0.27

Gravity Wall DimensionsCalculations

a10.3h10.550.55SliceLOAD/kNxMoments / kNma20.3h20.51.05WallSoilWallSoila30.3h30.51.55A19.870.000.255.040.00a40.3h40.52.05131.320.000.5316.620.00a50.5h50.52.55227.362.970.8322.722.47a60.5h60.53.05323.765.671.1326.866.41a70.5h70.53.55420.168.371.4328.8411.97a80.5h80.54.05527.6018.451.8350.5233.77a90h904.05621.6022.952.3350.3453.49a100h1004.05715.6027.452.8344.1677.70a110h1104.0589.6031.953.3331.97106.41a120h1204.0590.000.003.580.000.00a130h1304.05100.000.003.580.000.00a140h1404.05110.000.003.580.000.00a150h1504.05120.000.003.580.000.00a160h1604.05130.000.003.580.000.00a170h1704.05140.000.003.580.000.00B30h04.05150.000.003.580.000.003.204.05160.000.003.580.000.00170.000.003.580.000.00Height of Rubble Wall4.35B30.000.003.580.000.00196.87117.81277.08292.22

Other CalculationsCheck for StabilityWeight of concrete foundation21.48kNDistance to centre1.79mCheck for overturningMoment38.46kNmFS=Sum of stabilizing MomentsSum of overturning MomentsWeight of soil on length B10.096kN=614.33Distance to centre0.015m109.09Moment 0.001kNm=5.63

Equivalent height of surcharge loadhe0.28mCheck for SlidingForce due to surcharge loadPs7.67kNFS=Sum of Resisting ForcesHorizental ComponentPsh7.67kNSum of Sliding ForcesDistance to load centre1.53m=111.97Moment11.76kNm71.15Vertical ComponentPsv0.00kN=1.57Distance to load centre0.00mMoment0.00kNmCheck for Bearing Capacityqmax=96.61kN/m2Active force on the wallPa63.48kNall=200kN/m2Horizental ComponentPah63.48kNFS=Ultimate Bearing CapacityDistance to load centre1.53mBearing PressureMoment97.34kNm=allVertical ComponentPav0.00kNqmaxDistance to load centre0.00m=2.07Moment0.00kNmColorsPassive force on the wall21.87kNDistance to load centre0.30mOverSatisfyFailMoment6.56kNm

Weight of the soil wedge above the top level of the wall=0.00kNDistance to the load centre from toe=0.00mMoment=0.00kNm

Friction force along bottom of the concrete base,F=Rv, Rv=336.26kN=90.10kN

Distance to the Resultant Force R from toe, LR1.81mWidth of the Concrete Foundation, B3.58mResultant in middle thirdBearing pressures under the Foundationq1=91.21kN/m2q2=96.61kN/m2

5mGRAVITY RETAINING WALL DESIGN

Initial ParametersDensity of Rubble Wallr24kN/m3Density of Soils18kN/m3Density of Concretec24kN/m3H15.00mH22.00md0.45mB10.00mB22.80mB30.30mSurcharge load S3.00kN/m2Bearing capacityall200kN/m2Inclined angle of wall801.40radInclined angle of soil on top00.00radFriction angle of soil320.56radKa0.31Kp3.25Depth of shear keyhs0.35m0.29

Gravity Wall DimensionsCalculations

a10.45h11.21.2SliceLOAD/kNxMoments / kNma20.15h20.61.8WallSoilWallSoila30.15h30.62.4A90.780.000.7769.900.00a40.15h40.63170.740.001.3897.620.00a50.15h50.63.6219.263.241.6832.365.44a60.15h60.64.2317.104.861.8331.298.89a70.15h70.64.8414.946.481.9829.5812.83a80.15h80.65.4512.788.102.1327.2217.25a90.15h90.66610.629.722.2824.2122.16a100h100678.4611.342.4320.5627.56a110h110686.3012.962.5816.2533.44a120h120694.1414.582.7311.3039.80a130h1306100.000.002.800.000.00a140h1406110.000.002.800.000.00a150h1506120.000.002.800.000.00a160h1606130.000.002.800.000.00a170h1706140.000.002.800.000.00B30.3h06150.000.002.800.000.001.956160.000.002.800.000.00170.000.002.800.000.00Height of Rubble Wall6.55B33.9632.402.9511.7095.74259.08103.68371.99263.11

Other CalculationsCheck for StabilityWeight of concrete foundation33.53kNDistance to centre1.55mCheck for overturningMoment52.06kNmFS=Sum of stabilizing MomentsSum of overturning MomentsWeight of soil on length B13.813kN=754.65Distance to centre0.137m331.22Moment 0.521kNm=2.28

Equivalent height of surcharge loadhe0.17mCheck for SlidingForce due to surcharge loadPs6.45kNFS=Sum of Resisting ForcesHorizental ComponentPsh6.45kNSum of Sliding ForcesDistance to load centre2.33m=220.47Moment15.06kNm141.95Vertical ComponentPsv0.00kN=1.55Distance to load centre0.00mMoment0.00kNmCheck for Bearing Capacityqmax=170.27kN/m2Active force on the wallPa135.50kNall=200kN/m2Horizental ComponentPah135.50kNFS=Ultimate Bearing CapacityDistance to load centre2.33mBearing PressureMoment316.17kNm=allVertical ComponentPav0.00kNqmaxDistance to load centre0.00m=1.17Moment0.00kNmColorsPassive force on the wall105.74kNDistance to load centre0.63mOverSatisfyFailMoment66.97kNm

Weight of the soil wedge above the top level of the wall=0.00kNDistance to the load centre from toe=0.00mMoment=0.00kNm

Friction force along bottom of the concrete base,F=Rv, Rv=400.10kN=114.73kN

Distance to the Resultant Force R from toe, LR1.72mWidth of the Concrete Foundation, B3.10mResultant in middle thirdBearing pressures under the Foundationq1=87.45kN/m2q2=170.27kN/m2

6mGRAVITY RETAINING WALL DESIGN

Initial ParametersDensity of Rubble Wallr22kN/m3Density of Soils18kN/m3Density of Concretec24kN/m3H13.35mH20.91md0.25mB10.225mB20.90mB30.225mSurcharge load S10.00kN/m2Bearing capacityall100kN/m2Inclined angle of wall901.57radInclined angle of soil on top00.00radFriction angle of soil350.61radKa0.27Kp3.69Depth of shear keyhs0.00m0.32

Gravity Wall DimensionsCalculations

a10.45h10.30.3SliceLOAD/kNxMoments / kNma20.225h20.60.9WallSoilWallSoila30.225h30.751.65A0.000.000.230.000.00a40h401.65139.700.000.4517.860.00a50h501.65218.361.220.7914.460.96a60h601.65315.393.651.0115.593.69a70h701.6540.000.001.130.000.00a80h801.6550.000.001.130.000.00a90h901.6560.000.001.130.000.00a100h1001.6570.000.001.130.000.00a110h1101.6580.000.001.130.000.00a120h1201.6590.000.001.130.000.00a130h1301.65100.000.001.130.000.00a140h1401.65110.000.001.130.000.00a150h1501.65120.000.001.130.000.00a160h1601.65130.000.001.130.000.00a170h1701.65140.000.001.130.000.00B30.225h01.65150.000.001.130.000.001.1251.65160.000.001.130.000.00170.000.001.130.000.00Height of Rubble Wall4.01B311.686.681.2414.468.2785.1411.5462.3712.92

Other CalculationsCheck for StabilityWeight of concrete foundation8.10kNDistance to centre0.68mCheck for overturningMoment5.47kNmFS=Sum of stabilizing MomentsSum of overturning MomentsWeight of soil on length B12.673kN=82.13Distance to centre0.113m79.24Moment 0.301kNm=1.04

Equivalent height of surcharge loadhe0.56mCheck for SlidingForce due to surcharge loadPs11.54kNFS=Sum of Resisting ForcesHorizental ComponentPsh11.54kNSum of Sliding ForcesDistance to load centre1.42m=40.91Moment16.39kNm55.80Vertical ComponentPsv0.00kN=0.73Distance to load centre0.00mMoment0.00kNmCheck for Bearing Capacityqmax=107.66kN/m2Active force on the wallPa44.26kNall=100kN/m2Horizental ComponentPah44.26kNFS=Ultimate Bearing CapacityDistance to load centre1.42mBearing PressureMoment62.85kNm=allVertical ComponentPav0.00kNqmaxDistance to load centre0.00m=0.93Moment0.00kNmColorsPassive force on the wall7.03kNDistance to load centre0.15mOverSatisfyFailMoment1.08kNm

Weight of the soil wedge above the top level of the wall=0.00kNDistance to the load centre from toe=0.00mMoment=0.00kNm

Friction force along bottom of the concrete base,F=Rv, Rv=107.46kN=33.88kN

Distance to the Resultant Force R from toe, LR0.75mWidth of the Concrete Foundation, B1.35mResultant in middle thirdBearing pressures under the Foundationq1=51.54kN/m2q2=107.66kN/m2

7mGRAVITY RETAINING WALL DESIGN

Initial ParametersDensity of Rubble Wallr22kN/m3Density of Soils18kN/m3Density of Concretec22kN/m3H14.20mH20.80md0.20mB10.25mB25.07mB30.25mSurcharge load S5.00kN/m2Bearing capacityall150kN/m2Inclined angle of wall851.48radInclined angle of soil on top00.00radFriction angle of soil300.52radKa0.33Kp3.00Depth of shear keyhs0.50m0.27

Gravity Wall DimensionsCalculations

a10.3h10.60.6SliceLOAD/kNxMoments / kNma20.3h20.61.2WallSoilWallSoila30.3h30.61.8A22.170.000.5311.750.00a40.5h40.62.4131.680.000.8225.980.00a50.5h50.63227.723.241.1231.043.63a60.75h60.63.6323.766.481.4233.749.20a70.75h70.64.2433.0016.201.8260.0629.48a80.75h80.64.8526.4021.602.3261.2550.11a90.75h904.8629.7040.502.9487.46119.27a100h1004.8719.8048.603.6973.16179.57a110h1104.889.9056.704.4444.00252.03a120h1204.890.0064.805.190.00336.63a130h1304.8100.000.005.570.000.00a140h1404.8110.000.005.570.000.00a150h1504.8120.000.005.570.000.00a160h1604.8130.000.005.570.000.00a170h1704.8140.000.005.570.000.00B30h04.8150.000.005.570.000.004.94.8160.000.005.570.000.00170.000.005.570.000.00Height of Rubble Wall4.8B30.000.005.570.000.00224.13258.12428.44979.93

Other CalculationsCheck for StabilityWeight of concrete foundation24.51kNDistance to centre2.78mCheck for overturningMoment68.25kNmFS=Sum of stabilizing MomentsSum of overturning MomentsWeight of soil on length B12.983kN=1482.57Distance to centre0.139m138.89Moment 0.416kNm=10.67

Equivalent height of surcharge loadhe0.28mCheck for SlidingForce due to surcharge loadPs8.33kNFS=Sum of Resisting ForcesHorizental ComponentPsh8.33kNSum of Sliding ForcesDistance to load centre1.67m=156.09Moment13.89kNm83.33Vertical ComponentPsv0.00kN=1.87Distance to load centre0.00mMoment0.00kNmCheck for Bearing Capacityqmax=102.62kN/m2Active force on the wallPa75.00kNall=150kN/m2Horizental ComponentPah75.00kNFS=Ultimate Bearing CapacityDistance to load centre1.67mBearing PressureMoment125.00kNm=allVertical ComponentPav0.00kNqmaxDistance to load centre0.00m=1.46Moment0.00kNmColorsPassive force on the wall19.51kNDistance to load centre0.28mOverSatisfyFailMoment5.53kNm

Weight of the soil wedge above the top level of the wall=0.00kNDistance to the load centre from toe=0.00mMoment=0.00kNm

Friction force along bo