Length of Rectangular Footing given Ultimate Bearing Capacity Calculator

✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖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.ⓘ Ultimate Bearing Capacity in Soil [q_fc]			+10% -10%
✖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.ⓘ Effective Surcharge in KiloPascal [σ_s]			+10% -10%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+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%
✖Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_γ]			+10% -10%
✖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.ⓘ Cohesion in Soil as Kilopascal [C]			+10% -10%
✖Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.ⓘ Bearing Capacity Factor dependent on Cohesion [N_c]			+10% -10%

✖Length of Footing is the length of the larger dimension of the footing.ⓘ Length of Rectangular Footing given Ultimate Bearing Capacity [L]

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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)/(((q_fc-((σ_s*N_q)+(0.4*γ*B*N_γ)))/(C*N_c))-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)/(((q_fc-((σ_s*N_q)+(0.4*γ*B*N_γ)))/(C*N_c))-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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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Cohesive Soil » Frictional Cohesive Soil » Length of Rectangular Footing given Ultimate Bearing Capacity

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< Frictional Cohesive Soil Calculators

Cohesion of Soil given Ultimate Bearing Capacity for Rectangular Footing

LaTeX 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 Cohesion for Rectangular Footing

LaTeX 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)))

Effective Surcharge for Rectangular Footing

LaTeX 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

LaTeX 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

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 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 (q_fc), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (N_γ), Cohesion in Soil as Kilopascal (C) & Bearing Capacity Factor dependent on Cohesion (N_c) 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)/(((q_fc-((σ_s*N_q)+(0.4*γ*B*N_γ)))/(C*N_c))-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 (q_fc), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (N_γ), Cohesion in Soil as Kilopascal (C) & Bearing Capacity Factor dependent on Cohesion (N_c). 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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