Width of Footing given Ultimate Bearing Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Footing = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)
B = (qfc-((C*Nc)+(γ*Dfooting*Nq)))/(0.5*γ*Nγ)
This formula uses 8 Variables
Variables Used
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Ultimate Bearing Capacity in Soil - (Measured in Pascal) - Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
Cohesion in Soil as Kilopascal - (Measured in Pascal) - Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
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.
Depth of Footing in Soil - (Measured in Meter) - Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Bearing Capacity Factor dependent on Unit Weight - Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.
STEP 1: Convert Input(s) to Base Unit
Ultimate Bearing Capacity in Soil: 127.8 Kilopascal --> 127800 Pascal (Check conversion ​here)
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion ​here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion ​here)
Depth of Footing in Soil: 2.54 Meter --> 2.54 Meter No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = (qfc-((C*Nc)+(γ*Dfooting*Nq)))/(0.5*γ*Nγ) --> (127800-((1270*9)+(18000*2.54*2.01)))/(0.5*18000*1.6)
Evaluating ... ...
B = 1.6995
STEP 3: Convert Result to Output's Unit
1.6995 Meter --> No Conversion Required
FINAL ANSWER
1.6995 Meter <-- Width of Footing
(Calculation completed in 00.004 seconds)

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Terzaghi's Analysis in Water Table is Below the Base of Footing Calculators

Depth of Footing given Bearing Capacity Factor
​ LaTeX ​ Go Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)
Cohesion of Soil given Depth and Width of Footing
​ LaTeX ​ Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion
Ultimate Bearing Capacity given Bearing Capacity Factor
​ LaTeX ​ Go Ultimate Bearing Capacity = (Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Unit Weight of Soil*Depth of Footing*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
Unit Weight of Soil given Depth and Width of Footing
​ LaTeX ​ Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/((Depth of Footing*Bearing Capacity Factor dependent on Surcharge)+(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))

Width of Footing given Ultimate Bearing Capacity Formula

​LaTeX ​Go
Width of Footing = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)
B = (qfc-((C*Nc)+(γ*Dfooting*Nq)))/(0.5*γ*Nγ)

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 Ultimate Bearing Capacity?

Width of Footing given Ultimate Bearing Capacity calculator uses Width of Footing = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight) to calculate the Width of Footing, The Width of Footing given Ultimate Bearing Capacity is defined as the maximum pressure it can support without causing excessive settlement or shear failure. Width of Footing is denoted by B symbol.

How to calculate Width of Footing given Ultimate Bearing Capacity using this online calculator? To use this online calculator for Width of Footing given Ultimate Bearing Capacity, enter Ultimate Bearing Capacity in Soil (qfc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Unit Weight of Soil (γ), Depth of Footing in Soil (Dfooting), Bearing Capacity Factor dependent on Surcharge (Nq) & Bearing Capacity Factor dependent on Unit Weight (Nγ) and hit the calculate button. Here is how the Width of Footing given Ultimate Bearing Capacity calculation can be explained with given input values -> 1.73125 = (127800-((1270*9)+(18000*2.54*2.01)))/(0.5*18000*1.6).

FAQ

What is Width of Footing given Ultimate Bearing Capacity?
The Width of Footing given Ultimate Bearing Capacity is defined as the maximum pressure it can support without causing excessive settlement or shear failure and is represented as B = (qfc-((C*Nc)+(γ*Dfooting*Nq)))/(0.5*γ*Nγ) or Width of Footing = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight). Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil, Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Depth of Footing in Soil is the longer dimension of the footing in soil mechanics, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge & Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.
How to calculate Width of Footing given Ultimate Bearing Capacity?
The Width of Footing given Ultimate Bearing Capacity is defined as the maximum pressure it can support without causing excessive settlement or shear failure is calculated using Width of Footing = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight). To calculate Width of Footing given Ultimate Bearing Capacity, you need Ultimate Bearing Capacity in Soil (qfc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Unit Weight of Soil (γ), Depth of Footing in Soil (Dfooting), Bearing Capacity Factor dependent on Surcharge (Nq) & Bearing Capacity Factor dependent on Unit Weight (Nγ). With our tool, you need to enter the respective value for Ultimate Bearing Capacity in Soil, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Depth of Footing in Soil, Bearing Capacity Factor dependent on Surcharge & Bearing Capacity Factor dependent on Unit Weight 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 Ultimate Bearing Capacity in Soil, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Depth of Footing in Soil, Bearing Capacity Factor dependent on Surcharge & Bearing Capacity Factor dependent on Unit Weight. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Width of Footing = (Net Ultimate Bearing Capacity-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)
  • Width of Footing = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge in KiloPascal))-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)
  • Width of Footing = (Net Ultimate Bearing Capacity-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)
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