Length of Rectangular Footing given Ultimate Bearing Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Footing = (0.3*Width of Footing)/(((Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion))-1)
L = (0.3*B)/(((qfc-((σs*Nq)+(0.4*γ*B*Nγ)))/(C*Nc))-1)
This formula uses 9 Variables
Variables Used
Length of Footing - (Measured in Meter) - Length of Footing is the length of the larger dimension of the footing.
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.
Effective Surcharge in KiloPascal - (Measured in Pascal) - Effective Surcharge in KiloPascal also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Ultimate Bearing Capacity in Soil: 127.8 Kilopascal --> 127800 Pascal (Check conversion here)
Effective Surcharge in KiloPascal: 45.9 Kilonewton per Square Meter --> 45900 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (0.3*B)/(((qfc-((σs*Nq)+(0.4*γ*B*Nγ)))/(C*Nc))-1) --> (0.3*2)/(((127800-((45900*2.01)+(0.4*18000*2*1.6)))/(1270*9))-1)
Evaluating ... ...
L = 6.40336134453773
STEP 3: Convert Result to Output's Unit
6.40336134453773 Meter --> No Conversion Required
FINAL ANSWER
6.40336134453773 6.403361 Meter <-- Length of Footing
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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15 Frictional Cohesive Soil Calculators

Bearing Capacity Factor Dependent on Surcharge for Rectangular Footing given Shape Factor
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+((0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))))/ Effective Surcharge in KiloPascal
Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor
Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+((0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))))/((Cohesion in Soil as Kilopascal)*(1+0.3*(Width of Footing/Length of Footing)))
Bearing Capacity Factor Dependent on Weight for Rectangular Footing given Shape Factor
Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/((0.5*Width of Footing*Unit Weight of Soil)*(1-0.2*(Width of Footing/Length of Footing)))
Effective Surcharge for Rectangular Footing given Shape Factor
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+((0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))))/ Bearing Capacity Factor dependent on Surcharge
Unit Weight of Soil for Rectangular Footing given Shape Factor
Go Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/((0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))
Cohesion of Soil for Rectangular Footing given Shape Factor
Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+((0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))))/((Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))
Ultimate Bearing Capacity for Rectangular Footing given Shape Factor
Go Ultimate Bearing Capacity in Soil = ((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+((0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))
Unit Weight of Soil given Ultimate Bearing Capacity for Rectangular Footing
Go Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.4*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
Cohesion of Soil given Ultimate Bearing Capacity for Rectangular Footing
Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))
Bearing Capacity Factor Dependent on Unit Weight for Rectangular Footing
Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.4*Width of Footing*Unit Weight of Soil)
Bearing Capacity Factor Dependent on Surcharge for Rectangular Footing
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/ Effective Surcharge in KiloPascal
Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing
Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((Cohesion in Soil as Kilopascal)*(1+0.3*(Width of Footing/Length of Footing)))
Length of Rectangular Footing given Ultimate Bearing Capacity
Go Length of Footing = (0.3*Width of Footing)/(((Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion))-1)
Effective Surcharge for Rectangular Footing
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/ Bearing Capacity Factor dependent on Surcharge
Ultimate Bearing Capacity for Rectangular Footing
Go Ultimate Bearing Capacity in Soil = ((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Length of Rectangular Footing given Ultimate Bearing Capacity Formula

Length of Footing = (0.3*Width of Footing)/(((Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion))-1)
L = (0.3*B)/(((qfc-((σs*Nq)+(0.4*γ*B*Nγ)))/(C*Nc))-1)

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 Length of Rectangular Footing given Ultimate Bearing Capacity?

Length of Rectangular Footing given Ultimate Bearing Capacity calculator uses Length of Footing = (0.3*Width of Footing)/(((Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion))-1) to calculate the Length of Footing, The Length of Rectangular Footing given Ultimate Bearing Capacity is defined as the value of length of rectangular footing when we have prior information of other parameters used. Length of Footing is denoted by L symbol.

How to calculate Length of Rectangular Footing given Ultimate Bearing Capacity using this online calculator? To use this online calculator for Length of Rectangular Footing given Ultimate Bearing Capacity, enter Width of Footing (B), Ultimate Bearing Capacity in Soil (qfc), Effective Surcharge in KiloPascal s), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (Nγ), Cohesion in Soil as Kilopascal (C) & Bearing Capacity Factor dependent on Cohesion (Nc) and hit the calculate button. Here is how the Length of Rectangular Footing given Ultimate Bearing Capacity calculation can be explained with given input values -> 4.482353 = (0.3*2)/(((127800-((45900*2.01)+(0.4*18000*2*1.6)))/(1270*9))-1).

FAQ

What is Length of Rectangular Footing given Ultimate Bearing Capacity?
The Length of Rectangular Footing given Ultimate Bearing Capacity is defined as the value of length of rectangular footing when we have prior information of other parameters used and is represented as L = (0.3*B)/(((qfc-((σs*Nq)+(0.4*γ*B*Nγ)))/(C*Nc))-1) or Length of Footing = (0.3*Width of Footing)/(((Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion))-1). Width of Footing is the shorter dimension of the footing, 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, Effective Surcharge in KiloPascal also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil, 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.
How to calculate Length of Rectangular Footing given Ultimate Bearing Capacity?
The Length of Rectangular Footing given Ultimate Bearing Capacity is defined as the value of length of rectangular footing when we have prior information of other parameters used is calculated using Length of Footing = (0.3*Width of Footing)/(((Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion))-1). To calculate Length of Rectangular Footing given Ultimate Bearing Capacity, you need Width of Footing (B), Ultimate Bearing Capacity in Soil (qfc), Effective Surcharge in KiloPascal s), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (Nγ), Cohesion in Soil as Kilopascal (C) & Bearing Capacity Factor dependent on Cohesion (Nc). With our tool, you need to enter the respective value for Width of Footing, Ultimate Bearing Capacity in Soil, Effective Surcharge in KiloPascal, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil, Bearing Capacity Factor dependent on Unit Weight, Cohesion in Soil as Kilopascal & Bearing Capacity Factor dependent on Cohesion 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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