Unit Weight of Soil given Total Thrust from Soil that are Free to Move 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%
✖Angle of Inclination of ground surface behind wall with horizontal.ⓘ Angle of Inclination [i]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+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 that are Free to Move [γ]

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Unit Weight of Soil given Total Thrust from Soil that are Free to Move Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
γ = (2*P)/((h_w)^2*cos(i))*((cos(i)-sqrt((cos(i))^2-(cos(φ))^2))/(cos(i)+sqrt((cos(i))^2-(cos(φ))^2)))
This formula uses 2 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Angle of Inclination - (Measured in Radian) - Angle of Inclination of ground surface behind wall with horizontal.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .

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
Angle of Inclination: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (2*P)/((h_w)^2*cos(i))*((cos(i)-sqrt((cos(i))^2-(cos(φ))^2))/(cos(i)+sqrt((cos(i))^2-(cos(φ))^2))) --> (2*10000)/((3.1)^2*cos(0.5235987755982))*((cos(0.5235987755982)-sqrt((cos(0.5235987755982))^2-(cos(0.802851455917241))^2))/(cos(0.5235987755982)+sqrt((cos(0.5235987755982))^2-(cos(0.802851455917241))^2)))

Evaluating ... ...

γ = 606.122759839706

STEP 3: Convert Result to Output's Unit

606.122759839706 Newton per Cubic Meter -->0.606122759839706 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

0.606122759839706 ≈ 0.606123 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.008 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 that are Free to Move Formula

LaTeX Go

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 that are Free to Move?

Unit Weight of Soil given Total Thrust from Soil that are Free to Move calculator uses 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))) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Total Thrust from Soil that are Free to Move is defined as the ratio of weight of the soil to volume of the soil. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Total Thrust from Soil that are Free to Move using this online calculator? To use this online calculator for Unit Weight of Soil given Total Thrust from Soil that are Free to Move, enter Total Thrust of Soil (P), Total Height of Wall (h_w), Angle of Inclination (i) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Unit Weight of Soil given Total Thrust from Soil that are Free to Move calculation can be explained with given input values -> 0.000606 = (2*10000)/((3.1)^2*cos(0.5235987755982))*((cos(0.5235987755982)-sqrt((cos(0.5235987755982))^2-(cos(0.802851455917241))^2))/(cos(0.5235987755982)+sqrt((cos(0.5235987755982))^2-(cos(0.802851455917241))^2))).

FAQ

What is Unit Weight of Soil given Total Thrust from Soil that are Free to Move?

The Unit Weight of Soil given Total Thrust from Soil that are Free to Move is defined as the ratio of weight of the soil to volume of the soil and is represented as γ = (2*P)/((h_w)^2*cos(i))*((cos(i)-sqrt((cos(i))^2-(cos(φ))^2))/(cos(i)+sqrt((cos(i))^2-(cos(φ))^2))) or 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 of Soil is the force acting on unit length of soil, Total height of wall which is under the consideration, Angle of Inclination of ground surface behind wall with horizontal & Angle of Internal Friction is the angle measured between the normal force and resultant force .

How to calculate Unit Weight of Soil given Total Thrust from Soil that are Free to Move?

The Unit Weight of Soil given Total Thrust from Soil that are Free to Move is defined as the ratio of weight of the soil to volume of the soil is calculated using 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))). To calculate Unit Weight of Soil given Total Thrust from Soil that are Free to Move, you need Total Thrust of Soil (P), Total Height of Wall (h_w), Angle of Inclination (i) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Total Thrust of Soil, Total Height of Wall, Angle of Inclination & Angle of Internal Friction 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, Angle of Inclination & Angle of Internal Friction. 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*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)

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