Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil 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%
✖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 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.ⓘ Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil [C_s]

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Formula

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Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil

Formula

`"C"_{"s"} = ("q"_{"fc"}-("σ"_{"s"}*"N"_{"q"}))/"N"_{"c"}`

Example

`"3.949kPa"=("127.8kPa"-("45.9kN/m²"*"2.01"))/"9"`

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Download Terzaghi's Analysis: Purely Cohesive Soil Formulas PDF

Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cohesion of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
C_s = (q_fc-(σ_s*N_q))/N_c
This formula uses 5 Variables

Variables Used

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.
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.
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
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_s = (q_fc-(σ_s*N_q))/N_c --> (127800-(45900*2.01))/9

Evaluating ... ...

C_s = 3949

STEP 3: Convert Result to Output's Unit

3949 Pascal -->3.949 Kilopascal (Check conversion here)

FINAL ANSWER

3.949 Kilopascal <-- Cohesion of Soil

(Calculation completed in 00.004 seconds)

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< 23 Terzaghi's Analysis: Purely Cohesive Soil Calculators

Bearing Capacity for Purely Cohesive Soil given Depth of Footing

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))

Bearing Capacity Factor Dependent on Surcharge for Cohesive Soil given Depth of Footing

Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Depth of Footing)

Bearing Capacity Factor Dependent on Cohesion for Cohesive Soil given Depth of Footing

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Cohesion of Soil

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil

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)

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing

Go Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion

Depth of Footing given Bearing Capacity for Purely Cohesive Soil

Go Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)

Passive Earth Pressure Coefficient given Bearing Capacity Factor

Go Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2

Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient

Go Bearing Capacity Factor dependent on Unit Weight = (tan((Angle of Shearing Resistance))/2)*((Coefficient of Passive Pressure/(cos(Angle of Shearing Resistance))^2)-1)

Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil

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

Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil

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

Bearing Capacity for Purely Cohesive Soil

Go Ultimate Bearing Capacity = ((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))

Bearing Capacity Factor Dependent on Surcharge for Purely Cohesive Soil

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

Effective Surcharge given Bearing Capacity for Purely Cohesive Soil

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

Bearing Capacity Factor Dependent on Surcharge given Angle of Shearing Resistance

Go Bearing Capacity Factor dependent on Surcharge = (Bearing Capacity Factor dependent on Cohesion/cot((Angle of Shearing Resistance*pi)/180))+1

Bearing Capacity Factor Dependent on cohesion given Angle of Shearing Resistance

Go Bearing Capacity Factor dependent on Cohesion = (Bearing Capacity Factor dependent on Surcharge-1)*cot((Angle of Shearing Resistance))

Angle of Shearing Resistance given Bearing Capacity Factor

Go Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1))

Unit Weight of Soil given Value of Bearing Capacity Factor

Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Depth of Footing)

Depth of Footing given Value of Bearing Capacity Factor

Go Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Unit Weight of Soil)

Cohesion of Soil for Purely Cohesive Soil given Unit Weight of Soil

Go Cohesion of Soil = (Ultimate Bearing Capacity-(Unit Weight of Soil*Depth of Footing))/5.7

Bearing Capacity for Purely Cohesive Soil given Value of Bearing Capacity Factor

Go Ultimate Bearing Capacity = ((Cohesion of Soil*5.7)+(Effective Surcharge in KiloPascal))

Cohesion of Soil given Value of Bearing Capacity Factor

Go Cohesion of Soil = (Ultimate Bearing Capacity-(Effective Surcharge in KiloPascal))/5.7

Bearing Capacity for Purely Cohesive Soil given Unit Weight of Soil

Go Ultimate Bearing Capacity = (5.7*Cohesion of Soil)+Effective Surcharge in KiloPascal

Effective Surcharge given Value of Bearing Capacity Factor

Go Effective Surcharge in KiloPascal = Ultimate Bearing Capacity-(5.7*Cohesion of Soil)

Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil Formula

What is Cohesion of Soil?

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 given Bearing Capacity for Purely Cohesive Soil?

Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil calculator uses Cohesion of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion to calculate the Cohesion of Soil, The Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil is defined as its internal molecular attraction, determining bearing capacity in purely cohesive soil without friction or cohesionless particles. Cohesion of Soil is denoted by C_s symbol.

How to calculate Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil using this online calculator? To use this online calculator for Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil, enter Ultimate Bearing Capacity in Soil (q_fc), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q) & Bearing Capacity Factor dependent on Cohesion (N_c) and hit the calculate button. Here is how the Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil calculation can be explained with given input values -> 0.004 = (127800-(45900*2.01))/9.

FAQ

What is Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil?

The Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil is defined as its internal molecular attraction, determining bearing capacity in purely cohesive soil without friction or cohesionless particles and is represented as C_s = (q_fc-(σ_s*N_q))/N_c or Cohesion of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion. 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 & Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

How to calculate Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil?

The Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil is defined as its internal molecular attraction, determining bearing capacity in purely cohesive soil without friction or cohesionless particles is calculated using Cohesion of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion. To calculate Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil, you need Ultimate Bearing Capacity in Soil (q_fc), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q) & 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 & 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 of Soil?

In this formula, Cohesion of Soil uses Ultimate Bearing Capacity in Soil, Effective Surcharge in KiloPascal, Bearing Capacity Factor dependent on Surcharge & Bearing Capacity Factor dependent on Cohesion. We can use 3 other way(s) to calculate the same, which is/are as follows -

Cohesion of Soil = (Ultimate Bearing Capacity-(Effective Surcharge in KiloPascal))/5.7
Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
Cohesion of Soil = (Ultimate Bearing Capacity-(Unit Weight of Soil*Depth of Footing))/5.7

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