Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Active Pressure)
γ = (2*P)/((hw)^2*KA)
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.
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
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
Coefficient of Active Pressure: 0.15 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γ = (2*P)/((hw)^2*KA) --> (2*10000)/((3.1)^2*0.15)
Evaluating ... ...
γ = 13874.4363510232
STEP 3: Convert Result to Output's Unit
13874.4363510232 Newton per Cubic Meter -->13.8744363510232 Kilonewton per Cubic Meter (Check conversion ​here)
FINAL ANSWER
13.8744363510232 13.87444 Kilonewton per Cubic Meter <-- Unit Weight of Soil
(Calculation completed in 00.004 seconds)

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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
​ 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)

Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall Formula

​LaTeX ​Go
Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Active Pressure)
γ = (2*P)/((hw)^2*KA)

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 for Level Surface behind Wall?

Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall calculator uses Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Active Pressure) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall is defined as weight of soil per unit volume of soil. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall using this online calculator? To use this online calculator for Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall, enter Total Thrust of Soil (P), Total Height of Wall (hw) & Coefficient of Active Pressure (KA) and hit the calculate button. Here is how the Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall calculation can be explained with given input values -> 0.013874 = (2*10000)/((3.1)^2*0.15).

FAQ

What is Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall?
The Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall is defined as weight of soil per unit volume of soil and is represented as γ = (2*P)/((hw)^2*KA) or Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Active Pressure). Total Thrust of Soil is the force acting on unit length 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 Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall?
The Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall is defined as weight of soil per unit volume of soil is calculated using Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Active Pressure). To calculate Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall, you need Total Thrust of Soil (P), Total Height of Wall (hw) & Coefficient of Active Pressure (KA). With our tool, you need to enter the respective value for Total Thrust 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 Unit Weight of Soil?
In this formula, Unit Weight of Soil uses Total Thrust 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 -
  • 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*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)
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