Total Thrust from Soil with Small Angles of Internal Friction 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%
✖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 with Small Angles of Internal Friction [P]

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Formula

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Total Thrust from Soil with Small Angles of Internal Friction

Formula

`"P" = (0.5*"γ"*("h"_{"w"})^2)-(2*"C"*"h"_{"w"})`

Example

`"78.616kN/m"=(0.5*"18kN/m³"*("3.1m")^2)-(2*"1.27kPa"*"3.1m")`

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

Total Thrust from Soil with Small Angles of Internal Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P = (0.5*γ*(h_w)^2)-(2*C*h_w)
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.
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
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)-(2*C*h_w) --> (0.5*18000*(3.1)^2)-(2*1270*3.1)

Evaluating ... ...

P = 78616

STEP 3: Convert Result to Output's Unit

78616 Newton per Meter -->78.616 Kilonewton per Meter (Check conversion here)

FINAL ANSWER

78.616 Kilonewton per Meter <-- Total Thrust of Soil

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Lateral Pressure for Cohesive and Non Cohesive Soil » Total Thrust from Soil with Small Angles of Internal Friction

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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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< 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 with Small Angles of Internal Friction Formula

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)
P = (0.5*γ*(h_w)^2)-(2*C*h_w)

What is Angle of Internal Friction?

A measure of the ability of a unit of rock or soil to withstand a shear stress. It is the angle (φ), measured between the normal force (N) and resultant force (R), that is attained when failure just occurs in response to a shearing stress (S).

How to Calculate Total Thrust from Soil with Small Angles of Internal Friction?

Total Thrust from Soil with Small Angles of Internal Friction calculator uses 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) to calculate the Total Thrust of Soil, The Total Thrust from Soil with Small Angles of Internal Friction is defined as the force applied per unit length of the wall under consideration . Total Thrust of Soil is denoted by P symbol.

How to calculate Total Thrust from Soil with Small Angles of Internal Friction using this online calculator? To use this online calculator for Total Thrust from Soil with Small Angles of Internal Friction, enter Unit Weight of Soil (γ), Total Height of Wall (h_w) & Cohesion in Soil as Kilopascal (C) and hit the calculate button. Here is how the Total Thrust from Soil with Small Angles of Internal Friction calculation can be explained with given input values -> 0.05549 = (0.5*18000*(3.1)^2)-(2*1270*3.1).

FAQ

What is Total Thrust from Soil with Small Angles of Internal Friction?

The Total Thrust from Soil with Small Angles of Internal Friction is defined as the force applied per unit length of the wall under consideration and is represented as P = (0.5*γ*(h_w)^2)-(2*C*h_w) or 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). 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 & 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 with Small Angles of Internal Friction?

The Total Thrust from Soil with Small Angles of Internal Friction is defined as the force applied per unit length of the wall under consideration is calculated using 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). To calculate Total Thrust from Soil with Small Angles of Internal Friction, you need Unit Weight of Soil (γ), Total Height of Wall (h_w) & 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 & 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 & 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*Coefficient of Active Pressure)-(2*Cohesion in Soil as Kilopascal*Total Height of Wall*sqrt(Coefficient of Active Pressure)))
Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive Pressure)

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