Cohesion of Soil for Rectangular Footing given Shape Factor Calculator

✖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%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+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%
✖Length of Footing is the length of the larger dimension of the footing.ⓘ Length of Footing [L]			+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%

✖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 of Soil for Rectangular Footing given Shape Factor [C]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Bearing Capacity of Cohesive Soil Formulas PDF PDF Image

Cohesion of Soil for Rectangular Footing given Shape Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
C = (q_fc-((σ_s*N_q)+((0.5*γ*B*N_γ)*(1-0.2*(B/L)))))/((N_c)*(1+0.3*(B/L)))
This formula uses 9 Variables

Variables Used

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.
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.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
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.
Length of Footing - (Measured in Meter) - Length of Footing is the length of the larger dimension of the footing.
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

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)
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Length of Footing: 4 Meter --> 4 Meter No Conversion Required
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (q_fc-((σ_s*N_q)+((0.5*γ*B*N_γ)*(1-0.2*(B/L)))))/((N_c)*(1+0.3*(B/L))) --> (127800-((45900*2.01)+((0.5*18000*2*1.6)*(1-0.2*(2/4)))))/((9)*(1+0.3*(2/4)))

Evaluating ... ...

C = 929.565217391306

STEP 3: Convert Result to Output's Unit

929.565217391306 Pascal -->0.929565217391306 Kilopascal (Check conversion here)

FINAL ANSWER

0.929565217391306 ≈ 0.929565 Kilopascal <-- Cohesion in Soil as Kilopascal

(Calculation completed in 00.009 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Cohesive Soil » Frictional Cohesive Soil » Cohesion of Soil for Rectangular Footing given Shape Factor

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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)

Cohesion of Soil for Rectangular Footing given Shape Factor Formula

LaTeX Go

What is Cohesion?

Cohesion is the stress (act) of sticking together. Yet, in engineering mechanics, particularly in soil mechanics, cohesion refers to shear strength under zero normal stress, or the intercept of a material's failure envelope with shear stress axis in the shear stress-normal stress space.

How to Calculate Cohesion of Soil for Rectangular Footing given Shape Factor?

Cohesion of Soil for Rectangular Footing given Shape Factor calculator uses 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))) to calculate the Cohesion in Soil as Kilopascal, The Cohesion of Soil for Rectangular Footing given Shape Factor is defined as the value of cohesion of soil when we have prior information of other parameters used. Cohesion in Soil as Kilopascal is denoted by C symbol.

How to calculate Cohesion of Soil for Rectangular Footing given Shape Factor using this online calculator? To use this online calculator for Cohesion of Soil for Rectangular Footing given Shape Factor, enter 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), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ), Length of Footing (L) & Bearing Capacity Factor dependent on Cohesion (N_c) and hit the calculate button. Here is how the Cohesion of Soil for Rectangular Footing given Shape Factor calculation can be explained with given input values -> 0.000974 = (127800-((45900*2.01)+((0.5*18000*2*1.6)*(1-0.2*(2/4)))))/((9)*(1+0.3*(2/4))).

FAQ

What is Cohesion of Soil for Rectangular Footing given Shape Factor?

The Cohesion of Soil for Rectangular Footing given Shape Factor is defined as the value of cohesion of soil when we have prior information of other parameters used and is represented as C = (q_fc-((σ_s*N_q)+((0.5*γ*B*N_γ)*(1-0.2*(B/L)))))/((N_c)*(1+0.3*(B/L))) or 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 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, Width of Footing is the shorter dimension of the footing, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil, Length of Footing is the length of the larger dimension of the footing & Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

How to calculate Cohesion of Soil for Rectangular Footing given Shape Factor?

The Cohesion of Soil for Rectangular Footing given Shape Factor is defined as the value of cohesion of soil when we have prior information of other parameters used is calculated using 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))). To calculate Cohesion of Soil for Rectangular Footing given Shape Factor, you need 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), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ), Length of Footing (L) & Bearing Capacity Factor dependent on Cohesion (N_c). With our tool, you need to enter the respective value for Ultimate Bearing Capacity in Soil, Effective Surcharge in KiloPascal, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight, Length of Footing & 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.

How many ways are there to calculate Cohesion in Soil as Kilopascal?

In this formula, Cohesion in Soil as Kilopascal uses Ultimate Bearing Capacity in Soil, Effective Surcharge in KiloPascal, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight, Length of Footing & Bearing Capacity Factor dependent on Cohesion. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

Home

FREE PDFs

🔍 Search