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

✖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 in Kilonewton [W_we]			+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%
✖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 given Weight of Wedge and Width of Footing [γ]

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Formula

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

Formula

`"γ" = ("W"_{"we"}*4)/(tan(("φ"))*("B")^2)`

Example

`"138.09kN/m³"=("138.09kN"*4)/(tan(("45°"))*("2m")^2)`

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Download Geotechnical Engineering Formula PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.

STEP 1: Convert Input(s) to Base Unit

Weight of Wedge in Kilonewton: 138.09 Kilonewton --> 138090 Newton (Check conversion here)
Angle of Shearing Resistance: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Width of Footing: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (W_we*4)/(tan((φ))*(B)^2) --> (138090*4)/(tan((0.785398163397301))*(2)^2)

Evaluating ... ...

γ = 138090.000000041

STEP 3: Convert Result to Output's Unit

138090.000000041 Newton per Cubic Meter -->138.090000000041 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

138.090000000041 ≈ 138.09 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soil: Terzaghi's Analysis » Unit Weight of Soil given Weight of Wedge and Width of Footing

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

Cohesion of Soil given Loading Intensity by Terzaghi's Analysis

Go Cohesion in Soil as Kilopascal = (Load Intensity-(((2*Passive Earth Pressure in kilopascal)/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 Load Intensity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*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 of Soil given Load Intensity

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

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

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

What is Unit Weight of Soil?

Unit weight for a soil is a property of a soil which is used to solve the problems related to the earthwork. Unit weight is also known by the name specific weight. Unit weight of the soil is the total weight of the soil divided by total volume. Total weight of soil also includes weight of water.

How to Calculate Unit Weight of Soil given Weight of Wedge and Width of Footing?

Unit Weight of Soil given Weight of Wedge and Width of Footing calculator uses Unit Weight of Soil = (Weight of Wedge in Kilonewton*4)/(tan((Angle of Shearing Resistance))*(Width of Footing)^2) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Weight of Wedge and Width of Footing is defined as the value of unit weight of soil when we have prior information of other parameters used. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Weight of Wedge and Width of Footing using this online calculator? To use this online calculator for Unit Weight of Soil given Weight of Wedge and Width of Footing, enter Weight of Wedge in Kilonewton (W_we), Angle of Shearing Resistance (φ) & Width of Footing (B) and hit the calculate button. Here is how the Unit Weight of Soil given Weight of Wedge and Width of Footing calculation can be explained with given input values -> 0.13809 = (138090*4)/(tan((0.785398163397301))*(2)^2).

FAQ

What is Unit Weight of Soil given Weight of Wedge and Width of Footing?

The Unit Weight of Soil given Weight of Wedge and Width of Footing is defined as the value of unit weight of soil when we have prior information of other parameters used and is represented as γ = (W_we*4)/(tan((φ))*(B)^2) or Unit Weight of Soil = (Weight of Wedge in Kilonewton*4)/(tan((Angle of Shearing Resistance))*(Width of Footing)^2). 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 is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles & Width of Footing is the shorter dimension of the footing.

How to calculate Unit Weight of Soil given Weight of Wedge and Width of Footing?

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