Width of Footing given Load Intensity Calculator

✖Load Intensity is defined as load applied per unit area.ⓘ Load Intensity [q]			+10% -10%
✖Total Downward Force in Soil is the net force on soil in the vertical direction.ⓘ Total Downward Force in Soil [R_v]			+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%
✖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 given Load Intensity [B]

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Width of Footing given Load Intensity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
B = (-q+sqrt((q)^2+R_v*γ*tan(φ)))/((γ*tan(φ))/2)
This formula uses 2 Functions, 5 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)
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.
Load Intensity - (Measured in Pascal) - Load Intensity is defined as load applied per unit area.
Total Downward Force in Soil - (Measured in Newton) - Total Downward Force in Soil is the net force on soil in the vertical direction.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Load Intensity: 26.8 Kilopascal --> 26800 Pascal (Check conversion here)
Total Downward Force in Soil: 56.109 Kilonewton --> 56109 Newton (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Angle of Shearing Resistance: 82.57 Degree --> 1.44111836337145 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = (-q+sqrt((q)^2+R_v*γ*tan(φ)))/((γ*tan(φ))/2) --> (-26800+sqrt((26800)^2+56109*18000*tan(1.44111836337145)))/((18000*tan(1.44111836337145))/2)

Evaluating ... ...

B = 0.944649294411633

STEP 3: Convert Result to Output's Unit

0.944649294411633 Meter --> No Conversion Required

FINAL ANSWER

0.944649294411633 ≈ 0.944649 Meter <-- Width of Footing

(Calculation completed in 00.020 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

Width of Footing given Load Intensity Formula

LaTeX Go

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 Load Intensity?

Width of Footing given Load Intensity calculator uses 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) to calculate the Width of Footing, The Width of Footing given Load Intensity is defined as the value of the width dimension of a footing, which is a structural element that transfers loads from a building or other structure to the ground. Width of Footing is denoted by B symbol.

How to calculate Width of Footing given Load Intensity using this online calculator? To use this online calculator for Width of Footing given Load Intensity, enter Load Intensity (q), Total Downward Force in Soil (R_v), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ) and hit the calculate button. Here is how the Width of Footing given Load Intensity calculation can be explained with given input values -> 0.944649 = (-26800+sqrt((26800)^2+56109*18000*tan(1.44111836337145)))/((18000*tan(1.44111836337145))/2).

FAQ

What is Width of Footing given Load Intensity?

The Width of Footing given Load Intensity is defined as the value of the width dimension of a footing, which is a structural element that transfers loads from a building or other structure to the ground and is represented as B = (-q+sqrt((q)^2+R_v*γ*tan(φ)))/((γ*tan(φ))/2) or 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). Load Intensity is defined as load applied per unit area, Total Downward Force in Soil is the net force on soil in the vertical direction, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & 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.

How to calculate Width of Footing given Load Intensity?

The Width of Footing given Load Intensity is defined as the value of the width dimension of a footing, which is a structural element that transfers loads from a building or other structure to the ground is calculated using 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). To calculate Width of Footing given Load Intensity, you need Load Intensity (q), Total Downward Force in Soil (R_v), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ). With our tool, you need to enter the respective value for Load Intensity, Total Downward Force in Soil, Unit Weight of Soil & Angle of Shearing Resistance 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 Load Intensity, Total Downward Force in Soil, Unit Weight of Soil & Angle of Shearing Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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