Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Calculator

✖Total Thrust of Soil is the force acting on unit length of soil.ⓘ Total Thrust of Soil [P]			+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%

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction [γ]

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Formula

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Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction

Formula

`"γ" = ((2*"P"/("h"_{"w"})^2)+(4*"C"/"h"_{"w"}))`

Example

`"3.719875kN/m³"=((2*"10kN/m"/("3.1m")^2)+(4*"1.27kPa"/"3.1m"))`

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Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Soil = ((2*Total Thrust of Soil/(Total Height of Wall)^2)+(4*Cohesion in Soil as Kilopascal/Total Height of Wall))
γ = ((2*P/(h_w)^2)+(4*C/h_w))
This formula uses 4 Variables

Variables Used

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 Thrust of Soil - (Measured in Newton per Meter) - Total Thrust of Soil is the force acting on unit length 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

Total Thrust of Soil: 10 Kilonewton per Meter --> 10000 Newton per 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

γ = ((2*P/(h_w)^2)+(4*C/h_w)) --> ((2*10000/(3.1)^2)+(4*1270/3.1))

Evaluating ... ...

γ = 3719.87513007284

STEP 3: Convert Result to Output's Unit

3719.87513007284 Newton per Cubic Meter -->3.71987513007284 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

3.71987513007284 ≈ 3.719875 Kilonewton per Cubic Meter <-- Unit Weight 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 » Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction

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Birsa Institute of Technology (BIT), Sindri

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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

Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Formula

Unit Weight of Soil = ((2*Total Thrust of Soil/(Total Height of Wall)^2)+(4*Cohesion in Soil as Kilopascal/Total Height of Wall))
γ = ((2*P/(h_w)^2)+(4*C/h_w))

What is Unit Weight of Soil?

In soil engineering, unit weight for a soil is a property of a soil which is used to solve the problems related to the earthwork. Unit weight is also known by the name specific weight. Unit weight of the soil is the total weight of the soil divided by total volume. Total weight of soil also includes weight of water.

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

Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction calculator uses Unit Weight of Soil = ((2*Total Thrust of Soil/(Total Height of Wall)^2)+(4*Cohesion in Soil as Kilopascal/Total Height of Wall)) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction is defined as ratio of weight of soil to volume of soil. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction using this online calculator? To use this online calculator for Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction, enter Total Thrust of Soil (P), Total Height of Wall (h_w) & Cohesion in Soil as Kilopascal (C) and hit the calculate button. Here is how the Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction calculation can be explained with given input values -> 0.008533 = ((2*10000/(3.1)^2)+(4*1270/3.1)).

FAQ

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

The Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction is defined as ratio of weight of soil to volume of soil and is represented as γ = ((2*P/(h_w)^2)+(4*C/h_w)) or 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 of Soil is the force acting on unit length 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 Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction?

The Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction is defined as ratio of weight of soil to volume of soil is calculated using Unit Weight of Soil = ((2*Total Thrust of Soil/(Total Height of Wall)^2)+(4*Cohesion in Soil as Kilopascal/Total Height of Wall)). To calculate Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction, you need Total Thrust of Soil (P), Total Height of Wall (h_w) & Cohesion in Soil as Kilopascal (C). With our tool, you need to enter the respective value for Total Thrust 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 Unit Weight of Soil?

In this formula, Unit Weight of Soil uses Total Thrust of Soil, Total Height of Wall & Cohesion in Soil as Kilopascal. We can use 5 other way(s) to calculate the same, which is/are as follows -

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

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