Cohesion of Soil depending on Shape Factors Calculator

✖The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.ⓘ Ultimate Bearing Capacity [q_f]			+10% -10%
✖Effective Surcharge 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 [σ`]			+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%
✖Shape factor dependent on unit weight of soil.ⓘ Shape Factor Dependent on Unit Weight [s_γ]			+10% -10%
✖Shape Factor dependent on Cohesion is defined as ratio of the limit unit base resistance of a footing of any shape bearing on the soil surface to that of a strip footing on the soil surface.ⓘ Shape Factor dependent on Cohesion [s_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%

✖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 depending on Shape Factors [C]

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Formula

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Cohesion of Soil depending on Shape Factors

Formula

`"C" = ("q"_{"f"}-(("σ`"*"N"_{"q"})+(0.5*"γ"*"B"*"N"_{"γ"}*"s"_{"γ"})))/("s"_{"c"}*"N"_{"c"})`

Example

`"0.90849kPa"=("60kPa"-(("10.0Pa"*"2.01")+(0.5*"18kN/m³"*"2m"*"1.6"*"1.60")))/("1.7"*"9")`

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Cohesion of Soil depending on Shape Factors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion)
C = (q_f-((σ`*N_q)+(0.5*γ*B*N_γ*s_γ)))/(s_c*N_c)
This formula uses 10 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 - (Measured in Pascal) - The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
Effective Surcharge - (Measured in Pascal) - Effective Surcharge 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.
Shape Factor Dependent on Unit Weight - Shape factor dependent on unit weight of soil.
Shape Factor dependent on Cohesion - Shape Factor dependent on Cohesion is defined as ratio of the limit unit base resistance of a footing of any shape bearing on the soil surface to that of a strip footing on the soil surface.
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: 60 Kilopascal --> 60000 Pascal (Check conversion here)
Effective Surcharge: 10 Pascal --> 10 Pascal No Conversion Required
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
Shape Factor Dependent on Unit Weight: 1.6 --> No Conversion Required
Shape Factor dependent on Cohesion: 1.7 --> No Conversion Required
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (q_f-((σ`*N_q)+(0.5*γ*B*N_γ*s_γ)))/(s_c*N_c) --> (60000-((10*2.01)+(0.5*18000*2*1.6*1.6)))/(1.7*9)

Evaluating ... ...

C = 908.490196078431

STEP 3: Convert Result to Output's Unit

908.490196078431 Pascal -->0.908490196078432 Kilopascal (Check conversion here)

FINAL ANSWER

0.908490196078432 ≈ 0.90849 Kilopascal <-- Cohesion in Soil as Kilopascal

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soil: Terzaghi's Analysis » Specialization of Terzaghi's Equations » Cohesion of Soil depending on Shape Factors

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< 23 Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Unit Weight depending on Shape Factors

Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Width of Footing*Unit Weight of Soil*Shape Factor Dependent on Unit Weight)

Bearing Capacity Factor Dependent on Cohesion Depending on Shape Factors

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal)

Cohesion of Soil depending on Shape Factors

Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion)

Unit Weight of Soil given Shape Factor

Go Unit Weight of Soil = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*Shape Factor Dependent on Unit Weight)

Shape Factor Dependent on Unit Weight

Go Shape Factor Dependent on Unit Weight = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)

Width of Footing given Shape Factor

Go Width of Footing = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*Shape Factor Dependent on Unit Weight)

Shape Factor Dependent on Cohesion

Go Shape Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Bearing Capacity Factor dependent on Cohesion*Cohesion in Soil as Kilopascal)

Bearing Capacity depending on Shape Factors

Go Ultimate Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)

Effective Surcharge given Square Footing and Bearing Capacity

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3*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*0.8)))/Bearing Capacity Factor dependent on Surcharge

Effective Surcharge given Round Footing and Bearing Capacity

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3*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*0.6)))/Bearing Capacity Factor dependent on Surcharge

Effective Surcharge given Strip Footing and Bearing Capacity

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1*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*1)))/Bearing Capacity Factor dependent on Surcharge

Unit Weight of Soil given Square Footing and Bearing Capacity

Go Unit Weight of Soil = (Ultimate Bearing Capacity-((1.3*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*0.8)

Unit Weight of Soil given Round Footing and Bearing Capacity

Cohesion of Soil given Square Footing and Bearing Capacity

Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/(1.3*Bearing Capacity Factor dependent on Cohesion)

Width of Footing given Square Footing and Bearing Capacity

Go Width of Footing = (Ultimate Bearing Capacity-((1.3*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*0.8)

Cohesion of Soil given Round Footing and Bearing Capacity

Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6)))/(1.3*Bearing Capacity Factor dependent on Cohesion)

Width of Footing given Round Footing and Bearing Capacity

Unit Weight of Soil given Strip Footing and Bearing Capacity

Go Unit Weight of Soil = (Ultimate Bearing Capacity-((1*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*1)

Cohesion of Soil given Strip Footing and Bearing Capacity

Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*1)))/(1*Bearing Capacity Factor dependent on Cohesion)

Width of Footing given Strip Footing and Bearing Capacity

Go Width of Footing = (Ultimate Bearing Capacity-((1*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*1)

Bearing Capacity for Square Footing

Go Ultimate Bearing Capacity = (1.3*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)

Bearing Capacity for Round Footing

Bearing Capacity for Strip Footing

Go Ultimate Bearing Capacity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Cohesion of Soil depending on Shape Factors Formula

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 depending on Shape Factors?

Cohesion of Soil depending on Shape Factors calculator uses Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion) to calculate the Cohesion in Soil as Kilopascal, The Cohesion of Soil depending on Shape Factors is defined as the ability of the underlying soil to support the foundation loads without shear failure. Cohesion in Soil as Kilopascal is denoted by C symbol.

How to calculate Cohesion of Soil depending on Shape Factors using this online calculator? To use this online calculator for Cohesion of Soil depending on Shape Factors, enter Ultimate Bearing Capacity (q_f), Effective Surcharge (σ`), 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), Shape Factor Dependent on Unit Weight (s_γ), Shape Factor dependent on Cohesion (s_c) & Bearing Capacity Factor dependent on Cohesion (N_c) and hit the calculate button. Here is how the Cohesion of Soil depending on Shape Factors calculation can be explained with given input values -> 0.000908 = (60000-((10*2.01)+(0.5*18000*2*1.6*1.6)))/(1.7*9).

FAQ

What is Cohesion of Soil depending on Shape Factors?

The Cohesion of Soil depending on Shape Factors is defined as the ability of the underlying soil to support the foundation loads without shear failure and is represented as C = (q_f-((σ`*N_q)+(0.5*γ*B*N_γ*s_γ)))/(s_c*N_c) or Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion). The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, Effective Surcharge 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, Shape factor dependent on unit weight of soil, Shape Factor dependent on Cohesion is defined as ratio of the limit unit base resistance of a footing of any shape bearing on the soil surface to that of a strip footing on the soil surface & Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

How to calculate Cohesion of Soil depending on Shape Factors?

The Cohesion of Soil depending on Shape Factors is defined as the ability of the underlying soil to support the foundation loads without shear failure is calculated using Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion). To calculate Cohesion of Soil depending on Shape Factors, you need Ultimate Bearing Capacity (q_f), Effective Surcharge (σ`), 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), Shape Factor Dependent on Unit Weight (s_γ), Shape Factor dependent on Cohesion (s_c) & Bearing Capacity Factor dependent on Cohesion (N_c). With our tool, you need to enter the respective value for Ultimate Bearing Capacity, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight, Shape Factor Dependent on Unit Weight, Shape Factor dependent on Cohesion & 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, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight, Shape Factor Dependent on Unit Weight, Shape Factor dependent on Cohesion & Bearing Capacity Factor dependent on Cohesion. We can use 3 other way(s) to calculate the same, which is/are as follows -

Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*1)))/(1*Bearing Capacity Factor dependent on Cohesion)
Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6)))/(1.3*Bearing Capacity Factor dependent on Cohesion)
Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/(1.3*Bearing Capacity Factor dependent on Cohesion)

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