Width of Footing given Weight of Wedge Calculator

✖Weight of Wedge is defined as the weight of total soil which is in the form of wedge.ⓘ Weight of Wedge [W]			+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%
✖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 given Weight of Wedge [B]

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Formula

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Width of Footing given Weight of Wedge

Formula

B = \sqrt{\frac{W \cdot 4}{\tan (\frac{φ \cdot π}{180}) \cdot γ}}

Example

0.297356 m = \sqrt{\frac{10.01 kg \cdot 4}{\tan (\frac{82.57 ° \cdot π}{180}) \cdot 18 kN/m³}}

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

Width of Footing given Weight of Wedge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil))
B = sqrt((W*4)/(tan((φ*pi)/180)*γ))
This formula uses 1 Constants, 2 Functions, 4 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Weight of Wedge: 10.01 Kilogram --> 10.01 Kilogram No Conversion Required
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = sqrt((W*4)/(tan((φ*pi)/180)*γ)) --> sqrt((10.01*4)/(tan((1.44111836337145*pi)/180)*18000))

Evaluating ... ...

B = 0.297355840756556

STEP 3: Convert Result to Output's Unit

0.297355840756556 Meter --> No Conversion Required

FINAL ANSWER

0.297355840756556 ≈ 0.297356 Meter <-- Width of Footing

(Calculation completed in 00.005 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Bearing Capacity of Soil by Terzaghi's Analysis Calculators

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)

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)

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)

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

Width of Footing given Weight of Wedge Formula

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

What is Footing?

Footings are an important part of foundation construction. They are typically made of concrete with rebar reinforcement that has been poured into an excavated trench. The purpose of footings is to support the foundation and prevent settling. Footings are especially important in areas with troublesome soils.

How to Calculate Width of Footing given Weight of Wedge?

Width of Footing given Weight of Wedge calculator uses Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil)) to calculate the Width of Footing, The Width of Footing given Weight of Wedge is defined as the shorter dimension of the footing, when we have prior information of weight of wedge and other parameters. Width of Footing is denoted by B symbol.

How to calculate Width of Footing given Weight of Wedge using this online calculator? To use this online calculator for Width of Footing given Weight of Wedge, enter Weight of Wedge (W), Angle of Shearing Resistance (φ) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Width of Footing given Weight of Wedge calculation can be explained with given input values -> 0.297356 = sqrt((10.01*4)/(tan((1.44111836337145*pi)/180)*18000)).

FAQ

What is Width of Footing given Weight of Wedge?

The Width of Footing given Weight of Wedge is defined as the shorter dimension of the footing, when we have prior information of weight of wedge and other parameters and is represented as B = sqrt((W*4)/(tan((φ*pi)/180)*γ)) or Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil)). Weight of Wedge is defined as the weight of total soil which is in the form of wedge, 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.

How to calculate Width of Footing given Weight of Wedge?

The Width of Footing given Weight of Wedge is defined as the shorter dimension of the footing, when we have prior information of weight of wedge and other parameters is calculated using Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil)). To calculate Width of Footing given Weight of Wedge, you need Weight of Wedge (W), Angle of Shearing Resistance (φ) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for Weight of Wedge, Angle of Shearing Resistance & Unit Weight of Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Width of Footing?

In this formula, Width of Footing uses Weight of Wedge, Angle of Shearing Resistance & Unit Weight of Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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