✖Load Intensity is defined as load applied per unit area.ⓘ Load Intensity [q]			+10% -10%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.ⓘ Angle of Shearing Resistance [φ]			+10% -10%

✖Total Downward Force in Soil is the net force on soil in the vertical direction.ⓘ Downward Force on Wedge [R_v]

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Formula

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Downward Force on Wedge

Formula

`"R"_{"v"} = "q"*"B"+(("γ"*"B"^2*tan("φ")*(pi/180))/4)`

Example

`"56.00902kN"="26.8kPa"*"2m"+(("18kN/m³"*("2m")^2*tan("82.57°")*(pi/180))/4)`

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Download Bearing Capacity of Soil by Terzaghi's Analysis Formulas PDF PDF Image

Downward Force on Wedge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4)
R_v = q*B+((γ*B^2*tan(φ)*(pi/180))/4)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Total Downward Force in Soil - (Measured in Newton) - Total Downward Force in Soil is the net force on soil in the vertical direction.
Load Intensity - (Measured in Pascal) - Load Intensity is defined as load applied per unit area.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Angle of Shearing Resistance - (Measured in Radian) - Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.

STEP 1: Convert Input(s) to Base Unit

Load Intensity: 26.8 Kilopascal --> 26800 Pascal (Check conversion here)
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Angle of Shearing Resistance: 82.57 Degree --> 1.44111836337145 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_v = q*B+((γ*B^2*tan(φ)*(pi/180))/4) --> 26800*2+((18000*2^2*tan(1.44111836337145)*(pi/180))/4)

Evaluating ... ...

R_v = 56009.0159430866

STEP 3: Convert Result to Output's Unit

56009.0159430866 Newton -->56.0090159430866 Kilonewton (Check conversion here)

FINAL ANSWER

56.0090159430866 ≈ 56.00902 Kilonewton <-- Total Downward Force in Soil

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soil by Terzaghi's Analysis » Downward Force on Wedge

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< 8 Bearing Capacity of Soil by Terzaghi's Analysis Calculators

Cohesion of Soil given Loading Intensity by Terzaghi's Analysis

Go Cohesion = (Load Intensity-(((2*Passive Earth Pressure)/Width of Footing)-((Unit Weight of Soil*Width of Footing*tan((Angle of Shearing Resistance*pi)/180))/4)))/tan((Angle of Shearing Resistance*pi)/180)

Width of Footing given Load Intensity

Go Width of Footing = (-Load Intensity+sqrt((Load Intensity)^2+Total Downward Force in Soil*Unit Weight of Soil*tan(Angle of Shearing Resistance)))/((Unit Weight of Soil*tan(Angle of Shearing Resistance))/2)

Loading Intensity using Bearing Capacity Factors

Go Loading Intensity with Bearing Capacity Factors = (Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Downward Force on Wedge

Go Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4)

Width of Footing given Weight of Wedge

Go Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil))

Unit Weight of Soil given Weight of Wedge and Width of Footing

Go Unit Weight of Soil = (Weight of Wedge in Kilonewton*4)/(tan((Angle of Shearing Resistance))*(Width of Footing)^2)

Angle of Shearing Resistance given Weight of Wedge

Go Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(Width of Footing)^2))

Weight of Wedge given Width of Footing

Go Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4

Downward Force on Wedge Formula

Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4)
R_v = q*B+((γ*B^2*tan(φ)*(pi/180))/4)

What is Wedge?

The wedge is defined as the soil which extends beyond the failure plane of the soil type present at the wall site, and can be calculated once the soil friction angle is known.

How to Calculate Downward Force on Wedge?

Downward Force on Wedge calculator uses Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4) to calculate the Total Downward Force in Soil, The Downward Force on Wedge formula is defined as the value of downward force on wedge of soil considered when we have prior information of load intensity. Total Downward Force in Soil is denoted by R_v symbol.

How to calculate Downward Force on Wedge using this online calculator? To use this online calculator for Downward Force on Wedge, enter Load Intensity (q), Width of Footing (B), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ) and hit the calculate button. Here is how the Downward Force on Wedge calculation can be explained with given input values -> 0.024608 = 26800*2+((18000*2^2*tan(1.44111836337145)*(pi/180))/4).

FAQ

What is Downward Force on Wedge?

The Downward Force on Wedge formula is defined as the value of downward force on wedge of soil considered when we have prior information of load intensity and is represented as R_v = q*B+((γ*B^2*tan(φ)*(pi/180))/4) or Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4). Load Intensity is defined as load applied per unit area, Width of Footing is the shorter dimension of the footing, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.

How to calculate Downward Force on Wedge?

The Downward Force on Wedge formula is defined as the value of downward force on wedge of soil considered when we have prior information of load intensity is calculated using Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4). To calculate Downward Force on Wedge, you need Load Intensity (q), Width of Footing (B), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ). With our tool, you need to enter the respective value for Load Intensity, Width of Footing, Unit Weight of Soil & Angle of Shearing Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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