Total Height of Wall 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%
✖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%
✖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%

✖Total height of wall which is under the consideration.ⓘ Total Height of Wall given Total Thrust from Soil that are Free to move [h_w]

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Total Height of Wall given Total Thrust from Soil that are Free to move Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))))
h_w = sqrt((2*P)/(γ*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

Total Height of Wall - (Measured in Meter) - Total height of wall which is under the consideration.
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.
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)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
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

h_w = sqrt((2*P)/(γ*cos(i)*((cos(i)-sqrt((cos(i))^2-(cos(φ))^2))/(cos(i)+sqrt((cos(i))^2-(cos(φ))^2))))) --> sqrt((2*10000)/(18000*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 ... ...

h_w = 2.25538725306164

STEP 3: Convert Result to Output's Unit

2.25538725306164 Meter --> No Conversion Required

FINAL ANSWER

2.25538725306164 ≈ 2.255387 Meter <-- Total Height of Wall

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

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)

Total Height of Wall given Total Thrust from Soil that are Free to move Formula

LaTeX Go

What is Height of Wall?

The vertical distance from the finished floor surface to the ceiling above it. This is also known as floor-to-ceiling height. Enter the percentage of the home (or section of the home if it has wings or is sectioned) that are between 7' and 40' high walls.

How to Calculate Total Height of Wall given Total Thrust from Soil that are Free to move?

Total Height of Wall given Total Thrust from Soil that are Free to move calculator uses 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))))) to calculate the Total Height of Wall, The Total Height of Wall given Total Thrust from Soil that are Free to move is defined as the total height of wall which is under consideration. Total Height of Wall is denoted by h_w symbol.

How to calculate Total Height of Wall given Total Thrust from Soil that are Free to move using this online calculator? To use this online calculator for Total Height of Wall given Total Thrust from Soil that are Free to move, enter Total Thrust of Soil (P), Unit Weight of Soil (γ), Angle of Inclination (i) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Total Height of Wall given Total Thrust from Soil that are Free to move calculation can be explained with given input values -> 2.255387 = sqrt((2*10000)/(18000*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 Total Height of Wall given Total Thrust from Soil that are Free to move?

The Total Height of Wall given Total Thrust from Soil that are Free to move is defined as the total height of wall which is under consideration and is represented as h_w = sqrt((2*P)/(γ*cos(i)*((cos(i)-sqrt((cos(i))^2-(cos(φ))^2))/(cos(i)+sqrt((cos(i))^2-(cos(φ))^2))))) or 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 Thrust of Soil is the force acting on unit length of soil, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, 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 Total Height of Wall given Total Thrust from Soil that are Free to move?

The Total Height of Wall given Total Thrust from Soil that are Free to move is defined as the total height of wall which is under consideration is calculated using 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))))). To calculate Total Height of Wall given Total Thrust from Soil that are Free to move, you need Total Thrust of Soil (P), Unit Weight of Soil (γ), Angle of Inclination (i) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Total Thrust of Soil, Unit Weight of Soil, 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 Total Height of Wall?

In this formula, Total Height of Wall uses Total Thrust of Soil, Unit Weight of Soil, Angle of Inclination & Angle of Internal Friction. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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