Total Thrust from Soil that are Free to Move only Small 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 Passive Pressure)
P = (0.5*γ*(hw)^2*KP)
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 Passive Pressure - Coefficient of Passive Pressure is defined as the ratio of the horizontal to vertical stress.
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 Passive Pressure: 0.16 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (0.5*γ*(hw)^2*KP) --> (0.5*18000*(3.1)^2*0.16)
Evaluating ... ...
P = 13838.4
STEP 3: Convert Result to Output's Unit
13838.4 Newton per Meter -->13.8384 Kilonewton per Meter (Check conversion ​here)
FINAL ANSWER
13.8384 Kilonewton per Meter <-- Total Thrust of Soil
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
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)

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

​LaTeX ​Go
Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive Pressure)
P = (0.5*γ*(hw)^2*KP)

What is Passive Pressure?

The maximum value of lateral earth pressure exerted by soil on a structure, occurring when the soil is compressed laterally, causing its internal shearing resistance along a potential failure surface to be completely mobilized; the maximum resistance of a vertical earth face to deformation by a horizontal force.

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

Total Thrust from Soil that are Free to Move only Small Amount calculator uses Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive Pressure) to calculate the Total Thrust of Soil, The Total Thrust from Soil that are Free to Move only Small Amount is defined as the total force per unit length of the wall. Total Thrust of Soil is denoted by P symbol.

How to calculate Total Thrust from Soil that are Free to Move only Small Amount using this online calculator? To use this online calculator for Total Thrust from Soil that are Free to Move only Small Amount, enter Unit Weight of Soil (γ), Total Height of Wall (hw) & Coefficient of Passive Pressure (KP) and hit the calculate button. Here is how the Total Thrust from Soil that are Free to Move only Small Amount calculation can be explained with given input values -> 0.012974 = (0.5*18000*(3.1)^2*0.16).

FAQ

What is Total Thrust from Soil that are Free to Move only Small Amount?
The Total Thrust from Soil that are Free to Move only Small Amount is defined as the total force per unit length of the wall and is represented as P = (0.5*γ*(hw)^2*KP) or Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive 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 Passive Pressure is defined as the ratio of the horizontal to vertical stress.
How to calculate Total Thrust from Soil that are Free to Move only Small Amount?
The Total Thrust from Soil that are Free to Move only Small Amount is defined as the total force per unit length of the wall is calculated using Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive Pressure). To calculate Total Thrust from Soil that are Free to Move only Small Amount, you need Unit Weight of Soil (γ), Total Height of Wall (hw) & Coefficient of Passive Pressure (KP). With our tool, you need to enter the respective value for Unit Weight of Soil, Total Height of Wall & Coefficient of Passive 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 Passive 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*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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