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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
P = ((0.5*γ*(hw)^2*KA)-(2*C*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
Total Thrust of Soil - (Measured in Newton per Meter) - Total Thrust of Soil is the force acting on unit length of 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.
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.
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
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = ((0.5*γ*(hw)^2*KA)-(2*C*hw*sqrt(KA))) --> ((0.5*18000*(3.1)^2*0.15)-(2*1270*3.1*sqrt(0.15)))
Evaluating ... ...
P = 9923.91291319628
STEP 3: Convert Result to Output's Unit
9923.91291319628 Newton per Meter -->9.92391291319628 Kilonewton per Meter (Check conversion here)
FINAL ANSWER
9.92391291319628 9.923913 Kilonewton per Meter <-- Total Thrust of Soil
(Calculation completed in 00.004 seconds)

Credits

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

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

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)))
P = ((0.5*γ*(hw)^2*KA)-(2*C*hw*sqrt(KA)))

What is Coefficient of Active Pressure?

It is the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil.

How to Calculate Total Thrust from Soil that are Free to Move to Considerable Amount?

Total Thrust from Soil that are Free to Move to Considerable Amount calculator uses 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))) to calculate the Total Thrust of Soil, The Total Thrust from Soil that are Free to Move to Considerable Amount is defined as force applied per unit length of wall under consideration. Total Thrust of Soil is denoted by P symbol.

How to calculate Total Thrust from Soil that are Free to Move to Considerable Amount using this online calculator? To use this online calculator for Total Thrust from Soil that are Free to Move to Considerable Amount, enter Unit Weight of Soil (γ), Total Height of Wall (hw), Coefficient of Active Pressure (KA) & Cohesion in Soil as Kilopascal (C) and hit the calculate button. Here is how the Total Thrust from Soil that are Free to Move to Considerable Amount calculation can be explained with given input values -> 0.000967 = ((0.5*18000*(3.1)^2*0.15)-(2*1270*3.1*sqrt(0.15))).

FAQ

What is Total Thrust from Soil that are Free to Move to Considerable Amount?
The Total Thrust from Soil that are Free to Move to Considerable Amount is defined as force applied per unit length of wall under consideration and is represented as P = ((0.5*γ*(hw)^2*KA)-(2*C*hw*sqrt(KA))) or 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))). 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 & 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.
How to calculate Total Thrust from Soil that are Free to Move to Considerable Amount?
The Total Thrust from Soil that are Free to Move to Considerable Amount is defined as force applied per unit length of wall under consideration is calculated using 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))). To calculate Total Thrust from Soil that are Free to Move to Considerable Amount, you need Unit Weight of Soil (γ), Total Height of Wall (hw), Coefficient of Active Pressure (KA) & Cohesion in Soil as Kilopascal (C). With our tool, you need to enter the respective value for Unit Weight of Soil, Total Height of Wall, Coefficient of Active Pressure & Cohesion in Soil as Kilopascal 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 Total Thrust of Soil?
In this formula, Total Thrust of Soil uses Unit Weight of Soil, Total Height of Wall, Coefficient of Active Pressure & Cohesion in Soil as Kilopascal. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • 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 of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure)
  • 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 of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive Pressure)
  • 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)
  • Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive Pressure)
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