Angle of Shearing Resistance given Weight of Wedge 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%
✖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%

✖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 given Weight of Wedge [φ]

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Angle of Shearing Resistance given Weight of Wedge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(Width of Footing)^2))
φ = atan((W_we*4)/(γ*(B)^2))
This formula uses 2 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)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

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.
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.
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

Weight of Wedge in Kilonewton: 138.09 Kilonewton --> 138090 Newton (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

φ = atan((W_we*4)/(γ*(B)^2)) --> atan((138090*4)/(18000*(2)^2))

Evaluating ... ...

φ = 1.44117737915852

STEP 3: Convert Result to Output's Unit

1.44117737915852 Radian -->82.573381355524 Degree (Check conversion here)

FINAL ANSWER

82.573381355524 ≈ 82.57338 Degree <-- Angle of Shearing Resistance

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

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

Angle of Shearing Resistance given Weight of Wedge Formula

LaTeX Go

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

What is Angle of Shearing Resistance?

The 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. The shear strength is described by Mohr–Coulomb failure criterion adopted as widely accepted approach among the geotechnical engineers.

How to Calculate Angle of Shearing Resistance given Weight of Wedge?

Angle of Shearing Resistance given Weight of Wedge calculator uses Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(Width of Footing)^2)) to calculate the Angle of Shearing Resistance, The Angle of Shearing Resistance given Weight of Wedge formula is defined as the component of shear strength of soils which is basically frictional material and composed of individual particles. Angle of Shearing Resistance is denoted by φ symbol.

How to calculate Angle of Shearing Resistance given Weight of Wedge using this online calculator? To use this online calculator for Angle of Shearing Resistance given Weight of Wedge, enter Weight of Wedge in Kilonewton (W_we), Unit Weight of Soil (γ) & Width of Footing (B) and hit the calculate button. Here is how the Angle of Shearing Resistance given Weight of Wedge calculation can be explained with given input values -> 5069.988 = atan((138090*4)/(18000*(2)^2)).

FAQ

What is Angle of Shearing Resistance given Weight of Wedge?

The Angle of Shearing Resistance given Weight of Wedge formula is defined as the component of shear strength of soils which is basically frictional material and composed of individual particles and is represented as φ = atan((W_we*4)/(γ*(B)^2)) or Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(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, 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 Angle of Shearing Resistance given Weight of Wedge?

The Angle of Shearing Resistance given Weight of Wedge formula is defined as the component of shear strength of soils which is basically frictional material and composed of individual particles is calculated using Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(Width of Footing)^2)). To calculate Angle of Shearing Resistance given Weight of Wedge, you need Weight of Wedge in Kilonewton (W_we), Unit Weight of Soil (γ) & Width of Footing (B). With our tool, you need to enter the respective value for Weight of Wedge in Kilonewton, 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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