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*hw*sqrt(KA))-(0.5*P/hw*sqrt(KA))
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*hw*sqrt(KA))-(0.5*P/hw*sqrt(KA)) --> (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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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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Lateral Pressure for Cohesive and Non Cohesive Soil Calculators

Total Height of Wall given Total Thrust from Soil that are Free to move
​ LaTeX ​ 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 Free to Move
​ LaTeX ​ 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 Free to Move
​ LaTeX ​ 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 when Surface behind Wall is Level
​ LaTeX ​ Go Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure)

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

​LaTeX ​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))
C = (0.25*γ*hw*sqrt(KA))-(0.5*P/hw*sqrt(KA))

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 (hw), Coefficient of Active Pressure (KA) & 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*hw*sqrt(KA))-(0.5*P/hw*sqrt(KA)) 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 (hw), Coefficient of Active Pressure (KA) & 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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