Width of Footing given Bearing Capacity Factor and Depth of Footing Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
B = (qnf-((Cs*Nc)+((γ*D)*(Nq-1))))/(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.
Net Ultimate Bearing Capacity - (Measured in Pascal) - Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure.
Cohesion of Soil - (Measured in Pascal) - Cohesion of Soil 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 - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
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
Net Ultimate Bearing Capacity: 150 Kilonewton per Square Meter --> 150000 Pascal (Check conversion here)
Cohesion of Soil: 5 Kilopascal --> 5000 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: 1.01 Meter --> 1.01 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 = (qnf-((Cs*Nc)+((γ*D)*(Nq-1))))/(0.5*γ*Nγ) --> (150000-((5000*9)+((18000*1.01)*(2.01-1))))/(0.5*18000*1.6)
Evaluating ... ...
B = 6.01654166666667
STEP 3: Convert Result to Output's Unit
6.01654166666667 Meter --> No Conversion Required
FINAL ANSWER
6.01654166666667 6.016542 Meter <-- Width of Footing
(Calculation completed in 00.020 seconds)

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

Width of Footing given Factor of Safety and Safe Bearing Capacity
Go Width of Footing = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*(Unit Weight of Soil*Depth of Footing)))-((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)
Safe Bearing Capacity given Depth and Width of Footing
Go Safe 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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Factor of Safety)+(Unit Weight of Soil*Depth of Footing)
Factor of Safety given Depth and Width of Footing
Go Factor of Safety = ((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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/(Safe Bearing Capacity-(Unit Weight of Soil*Depth of Footing))
Unit Weight of Soil given Safe Bearing Capacity
Go Unit Weight of Soil = (((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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
Width of Footing given Safe Bearing Capacity
Go 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)
Cohesion of Soil given Safe Bearing Capacity
Go Cohesion of Soil = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge))-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion
Safe Bearing Capacity given Bearing Capacity Factor
Go Safe 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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Factor of Safety)+Effective Surcharge in KiloPascal
Factor of Safety given Bearing Capacity Factor
Go Factor of Safety = ((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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/(Safe Bearing Capacity-Effective Surcharge in KiloPascal)
Effective Surcharge given Safe Bearing Capacity
Go Effective Surcharge in KiloPascal = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Factor of Safety+Bearing Capacity Factor dependent on Surcharge-1)
Depth of Footing given Factor of Safety and Safe Bearing Capacity
Go Depth of Footing = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*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)
Width of Footing given Ultimate Bearing Capacity
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)
Depth of Footing given Bearing Capacity Factor
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
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
Depth of Footing given Bearing Capacity Factor and Width of Footing
Go Depth of Footing = (Net Ultimate Bearing Capacity-((Cohesion of Soil*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-1))
Width of Footing given Bearing Capacity Factor and Depth of Footing
Go 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)
Net Ultimate Bearing Capacity given Depth and Width of Footing
Go 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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))
Unit Weight of Soil given Factor of Safety and Safe Bearing Capacity
Go Unit Weight of Soil = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)))/((Bearing Capacity Factor dependent on Surcharge*Depth of Footing)+(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))
Ultimate Bearing Capacity given Bearing Capacity Factor
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 Net Ultimate Bearing Capacity
Go Unit Weight of Soil = (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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
Width of Footing given Effective Surcharge
Go 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)
Cohesion of Soil given Net Ultimate Bearing Capacity
Go Cohesion of Soil = (Net Ultimate Bearing Capacity-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion
Effective Surcharge given Bearing Capacity Factor
Go Effective Surcharge in KiloPascal = (Net Ultimate Bearing Capacity-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Bearing Capacity Factor dependent on Surcharge-1)
Net Ultimate Bearing Capacity given Bearing Capacity Factor
Go 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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
Unit Weight of Soil given Bearing Capacity Factor, Depth and Width of Footing
Go Unit Weight of Soil = (Net Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/((0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)+(Depth of Footing*(Bearing Capacity Factor dependent on Surcharge-1)))
Unit Weight of Soil given Depth and Width of Footing
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 Bearing Capacity Factor and Depth of Footing Formula

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)
B = (qnf-((Cs*Nc)+((γ*D)*(Nq-1))))/(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 Bearing Capacity Factor and Depth of Footing?

Width of Footing given Bearing Capacity Factor and Depth of Footing calculator uses 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) to calculate the Width of Footing, The Width of Footing given Bearing Capacity Factor and Depth of Footing is defined as value of width of footing when we have prior information of other parameters used. Width of Footing is denoted by B symbol.

How to calculate Width of Footing given Bearing Capacity Factor and Depth of Footing using this online calculator? To use this online calculator for Width of Footing given Bearing Capacity Factor and Depth of Footing, enter Net Ultimate Bearing Capacity (qnf), Cohesion of Soil (Cs), Bearing Capacity Factor dependent on Cohesion (Nc), Unit Weight of Soil (γ), Depth of Footing (D), 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 Bearing Capacity Factor and Depth of Footing calculation can be explained with given input values -> 6.029167 = (150000-((5000*9)+((18000*1.01)*(2.01-1))))/(0.5*18000*1.6).

FAQ

What is Width of Footing given Bearing Capacity Factor and Depth of Footing?
The Width of Footing given Bearing Capacity Factor and Depth of Footing is defined as value of width of footing when we have prior information of other parameters used and is represented as B = (qnf-((Cs*Nc)+((γ*D)*(Nq-1))))/(0.5*γ*Nγ) or 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). Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure, Cohesion of Soil 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 is the longer dimension of the footing, 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 Bearing Capacity Factor and Depth of Footing?
The Width of Footing given Bearing Capacity Factor and Depth of Footing is defined as value of width of footing when we have prior information of other parameters used is calculated using 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). To calculate Width of Footing given Bearing Capacity Factor and Depth of Footing, you need Net Ultimate Bearing Capacity (qnf), Cohesion of Soil (Cs), Bearing Capacity Factor dependent on Cohesion (Nc), Unit Weight of Soil (γ), Depth of Footing (D), 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 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 & 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 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 & Bearing Capacity Factor dependent on Unit Weight. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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 = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*(Unit Weight of Soil*Depth of Footing)))-((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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