Cohesion of soil given Total Thrust from Soil that are Free to Move Calculator

✖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%
✖Total height of wall which is under the consideration.ⓘ Total Height of Wall [h_w]			+10% -10%
✖Coefficient of Active Pressure is the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil.ⓘ Coefficient of Active Pressure [K_A]			+10% -10%
✖Total Thrust of Soil is the force acting on unit length of soil.ⓘ Total Thrust of Soil [P]			+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 given Total Thrust from Soil that are Free to Move [C]

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Formula

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Cohesion of soil given Total Thrust from Soil that are Free to Move

Formula

`"C" = (0.25*"γ"*"h"_{"w"}*sqrt("K"_{"A"}))-(0.5*"P"/"h"_{"w"}*sqrt("K"_{"A"}))`

Example

`"4.778137kPa"=(0.25*"18kN/m³"*"3.1m"*sqrt("0.15"))-(0.5*"10kN/m"/"3.1m"*sqrt("0.15"))`

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Download Lateral Pressure for Cohesive and Non Cohesive Soil Formulas PDF

Cohesion of soil given Total Thrust from Soil that are Free to Move Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cohesion in Soil as Kilopascal = (0.25*Unit Weight of Soil*Total Height of Wall*sqrt(Coefficient of Active Pressure))-(0.5*Total Thrust of Soil/Total Height of Wall*sqrt(Coefficient of Active Pressure))
C = (0.25*γ*h_w*sqrt(K_A))-(0.5*P/h_w*sqrt(K_A))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.
Total Height of Wall - (Measured in Meter) - Total height of wall which is under the consideration.
Coefficient of Active Pressure - Coefficient of Active Pressure is the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil.
Total Thrust of Soil - (Measured in Newton per Meter) - Total Thrust of Soil is the force acting on unit length of soil.

STEP 1: Convert Input(s) to Base Unit

Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Total Height of Wall: 3.1 Meter --> 3.1 Meter No Conversion Required
Coefficient of Active Pressure: 0.15 --> No Conversion Required
Total Thrust of Soil: 10 Kilonewton per Meter --> 10000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (0.25*γ*h_w*sqrt(K_A))-(0.5*P/h_w*sqrt(K_A)) --> (0.25*18000*3.1*sqrt(0.15))-(0.5*10000/3.1*sqrt(0.15))

Evaluating ... ...

C = 4778.13703470009

STEP 3: Convert Result to Output's Unit

4778.13703470009 Pascal -->4.77813703470009 Kilopascal (Check conversion here)

FINAL ANSWER

4.77813703470009 ≈ 4.778137 Kilopascal <-- Cohesion in Soil as Kilopascal

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Lateral Pressure for Cohesive and Non Cohesive Soil » Cohesion of soil given Total Thrust from Soil that are Free to Move

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 25 Lateral Pressure for Cohesive and Non Cohesive Soil Calculators

Total Height of Wall given Total Thrust from Soil that are Completely Restrained

Go Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*cos(Angle of Inclination)*((cos(Angle of Inclination)+sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2))/(cos(Angle of Inclination)-sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2)))))

Total Height of Wall given Total Thrust from Soil that are Free to move

Go Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*cos(Angle of Inclination)*((cos(Angle of Inclination)-sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2))/(cos(Angle of Inclination)+sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2)))))

Unit Weight of Soil given Total Thrust from Soil that are Completely Restrained

Go Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*cos(Angle of Inclination))*((cos(Angle of Inclination)+sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2))/(cos(Angle of Inclination)-sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2)))

Unit Weight of Soil given Total Thrust from Soil that are Free to Move

Go Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*cos(Angle of Inclination))*((cos(Angle of Inclination)-sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2))/(cos(Angle of Inclination)+sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2)))

Total Thrust from Soil that are Completely Restrained

Go Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*cos(Angle of Inclination))*((cos(Angle of Inclination)+sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2))/(cos(Angle of Inclination)-sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2)))

Total Thrust from Soil that are Free to Move

Go Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*cos(Angle of Inclination))*((cos(Angle of Inclination)-sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2))/(cos(Angle of Inclination)+sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2)))

Cohesion of soil given Total Thrust from Soil that are Free to Move

Go Cohesion in Soil as Kilopascal = (0.25*Unit Weight of Soil*Total Height of Wall*sqrt(Coefficient of Active Pressure))-(0.5*Total Thrust of Soil/Total Height of Wall*sqrt(Coefficient of Active Pressure))

Total Thrust from Soil that are Free to Move to Considerable Amount

Go Total Thrust of Soil = ((0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure)-(2*Cohesion in Soil as Kilopascal*Total Height of Wall*sqrt(Coefficient of Active Pressure)))

Cohesion of soil given Total Thrust from Soil with Small Angles of Internal Friction

Go Cohesion in Soil as Kilopascal = ((0.25*Unit Weight of Soil*Total Height of Wall)-(0.5*Total Thrust of Soil/Total Height of Wall))

Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction

Go Unit Weight of Soil = ((2*Total Thrust of Soil/(Total Height of Wall)^2)+(4*Cohesion in Soil as Kilopascal/Total Height of Wall))

Total Thrust from Soil with Small Angles of Internal Friction

Go Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2)-(2*Cohesion in Soil as Kilopascal*Total Height of Wall)

Height of Wall given Thrust of Soil that are Completely Restrained and Surface is Level

Go Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Passive Pressure))

Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount

Go Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Passive Pressure))

Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall

Go Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Active Pressure))

Unit Weight of Soil given Thrust of Soil that are Completely Restrained and Surface is Level

Go Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Passive Pressure)

Coefficient of Passive Pressure given Thrust of Soil are Free to Move only Small Amount

Go Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)

Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount

Go Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Passive Pressure)

Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained

Go Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)

Total Thrust from Soil that are Completely Restrained and Surface is Level

Go Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive Pressure)

Total Thrust from Soil that are Free to Move only Small Amount

Go Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive Pressure)

Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall

Go Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Active Pressure)

Coefficient of Active Pressure given Total Thrust from Soil for Level Surface

Go Coefficient of Active Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)

Total Thrust from Soil when Surface behind Wall is Level

Go Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure)

Coefficient of Passive Pressure given Angle of Internal Friction of Soil

Go Coefficient of Passive Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2

Coefficient of Active Pressure given Angle of Internal Friction of Soil

Go Coefficient of Active Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2

Cohesion of soil given Total Thrust from Soil that are Free to Move Formula

What is Cohesive Soil?

"Cohesive soil" means clay (fine grained soil), or soil with a high clay content, which has cohesive strength. Cohesive soil does not crumble, can be excavated with vertical side slopes, and is plastic when moist. Cohesive soil is hard to break up when dry, and exhibits significant cohesion when submerged.

How to Calculate Cohesion of soil given Total Thrust from Soil that are Free to Move?

Cohesion of soil given Total Thrust from Soil that are Free to Move calculator uses Cohesion in Soil as Kilopascal = (0.25*Unit Weight of Soil*Total Height of Wall*sqrt(Coefficient of Active Pressure))-(0.5*Total Thrust of Soil/Total Height of Wall*sqrt(Coefficient of Active Pressure)) to calculate the Cohesion in Soil as Kilopascal, The Cohesion of soil given Total Thrust from Soil that are Free to Move is defined as ability to stay or fit together well. Cohesion in Soil as Kilopascal is denoted by C symbol.

How to calculate Cohesion of soil given Total Thrust from Soil that are Free to Move using this online calculator? To use this online calculator for Cohesion of soil given Total Thrust from Soil that are Free to Move, enter Unit Weight of Soil (γ), Total Height of Wall (h_w), Coefficient of Active Pressure (K_A) & Total Thrust of Soil (P) and hit the calculate button. Here is how the Cohesion of soil given Total Thrust from Soil that are Free to Move calculation can be explained with given input values -> 0.004778 = (0.25*18000*3.1*sqrt(0.15))-(0.5*10000/3.1*sqrt(0.15)).

FAQ

What is Cohesion of soil given Total Thrust from Soil that are Free to Move?

The Cohesion of soil given Total Thrust from Soil that are Free to Move is defined as ability to stay or fit together well and is represented as C = (0.25*γ*h_w*sqrt(K_A))-(0.5*P/h_w*sqrt(K_A)) or Cohesion in Soil as Kilopascal = (0.25*Unit Weight of Soil*Total Height of Wall*sqrt(Coefficient of Active Pressure))-(0.5*Total Thrust of Soil/Total Height of Wall*sqrt(Coefficient of Active Pressure)). Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Total height of wall which is under the consideration, Coefficient of Active Pressure is the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil & Total Thrust of Soil is the force acting on unit length of soil.

How to calculate Cohesion of soil given Total Thrust from Soil that are Free to Move?

The Cohesion of soil given Total Thrust from Soil that are Free to Move is defined as ability to stay or fit together well is calculated using Cohesion in Soil as Kilopascal = (0.25*Unit Weight of Soil*Total Height of Wall*sqrt(Coefficient of Active Pressure))-(0.5*Total Thrust of Soil/Total Height of Wall*sqrt(Coefficient of Active Pressure)). To calculate Cohesion of soil given Total Thrust from Soil that are Free to Move, you need Unit Weight of Soil (γ), Total Height of Wall (h_w), Coefficient of Active Pressure (K_A) & Total Thrust of Soil (P). With our tool, you need to enter the respective value for Unit Weight of Soil, Total Height of Wall, Coefficient of Active Pressure & Total Thrust of Soil 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 Unit Weight of Soil, Total Height of Wall, Coefficient of Active Pressure & Total Thrust of Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

Cohesion in Soil as Kilopascal = ((0.25*Unit Weight of Soil*Total Height of Wall)-(0.5*Total Thrust of Soil/Total Height of Wall))

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