Total Thrust from Soil that are Free to Move to Considerable Amount 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%
✖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 in Soil as Kilopascal [C]			+10% -10%

✖Total Thrust of Soil is the force acting on unit length of soil.ⓘ Total Thrust from Soil that are Free to Move to Considerable Amount [P]

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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*(h_w)^2*K_A)-(2*C*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

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*(h_w)^2*K_A)-(2*C*h_w*sqrt(K_A))) --> ((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 00.020 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Lateral Pressure for Cohesive and Non Cohesive Soil » Total Thrust from Soil that are Free to Move to Considerable Amount

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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)

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

LaTeX Go

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 (h_w), Coefficient of Active Pressure (K_A) & 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*(h_w)^2*K_A)-(2*C*h_w*sqrt(K_A))) 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 (h_w), Coefficient of Active Pressure (K_A) & 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 3 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)))

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