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
Wwe = (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: 45 Degree --> 0.785398163397301 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
Wwe = (tan(φ)*γ*(B)^2)/4 --> (tan(0.785398163397301)*18000*(2)^2)/4
Evaluating ... ...
Wwe = 17999.9999999947
STEP 3: Convert Result to Output's Unit
17999.9999999947 Newton -->17.9999999999947 Kilonewton (Check conversion here)
FINAL ANSWER
17.9999999999947 18 Kilonewton <-- Weight of Wedge in Kilonewton
(Calculation completed in 00.019 seconds)

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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

Weight of Wedge given Width of Footing Formula

Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4
Wwe = (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 is defined as the value of weight of wedge of soil considered when we have prior information of other parameters used. Weight of Wedge in Kilonewton is denoted by Wwe 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 -> 0.018 = (tan(0.785398163397301)*18000*(2)^2)/4.

FAQ

What is Weight of Wedge given Width of Footing?
The Weight of Wedge given Width of Footing is defined as the value of weight of wedge of soil considered when we have prior information of other parameters used and is represented as Wwe = (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 is defined as the value of weight of wedge of soil considered when we have prior information of other parameters used 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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