Weight of Wedge given Width of Footing Calculator

✖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%
✖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%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%

✖Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton.ⓘ Weight of Wedge given Width of Footing [W_we]

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

Weight of Wedge given Width of Footing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4
W_we = (tan(φ)*γ*(B)^2)/4
This formula uses 1 Functions, 4 Variables

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

Weight of Wedge in Kilonewton - (Measured in Newton) - Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton.
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.
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.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_we = (tan(φ)*γ*(B)^2)/4 --> (tan(1.44111836337145)*18000*(2)^2)/4

Evaluating ... ...

W_we = 138026.446318588

STEP 3: Convert Result to Output's Unit

138026.446318588 Newton -->138.026446318588 Kilonewton (Check conversion here)

FINAL ANSWER

138.026446318588 ≈ 138.0264 Kilonewton <-- Weight of Wedge in Kilonewton

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Bearing Capacity of Soil by Terzaghi's Analysis Calculators

Width of Footing given Load Intensity

LaTeX 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)

Downward Force on Wedge

LaTeX 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)

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

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

Weight of Wedge given Width of Footing

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

Weight of Wedge given Width of Footing Formula

LaTeX Go

Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4
W_we = (tan(φ)*γ*(B)^2)/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. ... Also, any groundwater behind the wall that is not dissipated by a drainage system causes hydrostatic pressure on the wall.

How to Calculate Weight of Wedge given Width of Footing?

Weight of Wedge given Width of Footing calculator uses Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4 to calculate the Weight of Wedge in Kilonewton, The Weight of Wedge given Width of Footing formula is defined as the value of the weight of total soil which is in the form of wedge in terms of Kilonewton, when we have prior information of width of footing and other parameters. Weight of Wedge in Kilonewton is denoted by W_we symbol.

How to calculate Weight of Wedge given Width of Footing using this online calculator? To use this online calculator for Weight of Wedge given Width of Footing, enter Angle of Shearing Resistance (φ), Unit Weight of Soil (γ) & Width of Footing (B) and hit the calculate button. Here is how the Weight of Wedge given Width of Footing calculation can be explained with given input values -> 0.02795 = (tan(1.44111836337145)*18000*(2)^2)/4.

FAQ

What is Weight of Wedge given Width of Footing?

The Weight of Wedge given Width of Footing formula is defined as the value of the weight of total soil which is in the form of wedge in terms of Kilonewton, when we have prior information of width of footing and other parameters and is represented as W_we = (tan(φ)*γ*(B)^2)/4 or Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4. 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, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Width of Footing is the shorter dimension of the footing.

How to calculate Weight of Wedge given Width of Footing?

The Weight of Wedge given Width of Footing formula is defined as the value of the weight of total soil which is in the form of wedge in terms of Kilonewton, when we have prior information of width of footing and other parameters is calculated using Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4. To calculate Weight of Wedge given Width of Footing, you need Angle of Shearing Resistance (φ), Unit Weight of Soil (γ) & Width of Footing (B). With our tool, you need to enter the respective value for Angle of Shearing Resistance, Unit Weight of Soil & Width of Footing 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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