Total Thrust from Soil when Surface behind Wall is Level 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 from Soil when Surface behind Wall is Level [P]

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Formula

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Total Thrust from Soil when Surface behind Wall is Level

Formula

P = (0.5 \cdot γ \cdot {(h w)}^{2} \cdot K A)

Example

12.9735 kN/m = (0.5 \cdot 18 kN/m³ \cdot {(3.1 m)}^{2} \cdot 0.15)

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Download Lateral Pressure for Cohesive and Non Cohesive Soil Formulas PDF PDF Image

Total Thrust from Soil when Surface behind Wall is Level 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)
P = (0.5*γ*(h_w)^2*K_A)
This formula uses 4 Variables

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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (0.5*γ*(h_w)^2*K_A) --> (0.5*18000*(3.1)^2*0.15)

Evaluating ... ...

P = 12973.5

STEP 3: Convert Result to Output's Unit

12973.5 Newton per Meter -->12.9735 Kilonewton per Meter (Check conversion here)

FINAL ANSWER

12.9735 Kilonewton per Meter <-- Total Thrust of Soil

(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

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

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

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

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

Total Thrust from Soil when Surface behind Wall is Level Formula

Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure)
P = (0.5*γ*(h_w)^2*K_A)

What is Active Thrust?

The active thrust is determined from the conditions of force equilibrium and its point of application is determined from the conditions of moment equilibrium.

How to Calculate Total Thrust from Soil when Surface behind Wall is Level?

Total Thrust from Soil when Surface behind Wall is Level calculator uses Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure) to calculate the Total Thrust of Soil, The Total Thrust from Soil when Surface Behind Wall is Level is defined as the force applied on unit length of of the wall. Total Thrust of Soil is denoted by P symbol.

How to calculate Total Thrust from Soil when Surface behind Wall is Level using this online calculator? To use this online calculator for Total Thrust from Soil when Surface behind Wall is Level, enter Unit Weight of Soil (γ), Total Height of Wall (h_w) & Coefficient of Active Pressure (K_A) and hit the calculate button. Here is how the Total Thrust from Soil when Surface behind Wall is Level calculation can be explained with given input values -> 0.012974 = (0.5*18000*(3.1)^2*0.15).

FAQ

What is Total Thrust from Soil when Surface behind Wall is Level?

The Total Thrust from Soil when Surface Behind Wall is Level is defined as the force applied on unit length of of the wall and is represented as P = (0.5*γ*(h_w)^2*K_A) or Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*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.

How to calculate Total Thrust from Soil when Surface behind Wall is Level?

The Total Thrust from Soil when Surface Behind Wall is Level is defined as the force applied on unit length of of the wall is calculated using Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure). To calculate Total Thrust from Soil when Surface behind Wall is Level, you need Unit Weight of Soil (γ), Total Height of Wall (h_w) & Coefficient of Active Pressure (K_A). With our tool, you need to enter the respective value for Unit Weight of Soil, Total Height of Wall & Coefficient of Active Pressure 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. 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*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)

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