Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall 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%
✖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.ⓘ Coefficient of Active Pressure [K_A]			+10% -10%

✖Total height of wall which is under the consideration.ⓘ Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall [h_w]

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

STEP 0: Pre-Calculation Summary

Formula Used

Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Active Pressure))
h_w = sqrt((2*P)/(γ*K_A))
This formula uses 1 Functions, 4 Variables

Functions Used

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.
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)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Coefficient of Active Pressure: 0.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_w = sqrt((2*P)/(γ*K_A)) --> sqrt((2*10000)/(18000*0.15))

Evaluating ... ...

h_w = 2.72165526975909

STEP 3: Convert Result to Output's Unit

2.72165526975909 Meter --> No Conversion Required

FINAL ANSWER

2.72165526975909 ≈ 2.721655 Meter <-- Total Height of Wall

(Calculation completed in 00.020 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 for Level Surface behind Wall Formula

LaTeX Go

Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Active Pressure))
h_w = sqrt((2*P)/(γ*K_A))

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 for Level Surface behind Wall?

Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall calculator uses Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Active Pressure)) to calculate the Total Height of Wall, The Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall 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 for Level Surface behind Wall using this online calculator? To use this online calculator for Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall, enter Total Thrust of Soil (P), Unit Weight of Soil (γ) & Coefficient of Active Pressure (K_A) and hit the calculate button. Here is how the Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall calculation can be explained with given input values -> 2.721655 = sqrt((2*10000)/(18000*0.15)).

FAQ

What is Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall?

The Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall is defined as the total height of wall which is under consideration and is represented as h_w = sqrt((2*P)/(γ*K_A)) or Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Active Pressure)). 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 & 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 Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall?

The Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall 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*Coefficient of Active Pressure)). To calculate Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall, you need Total Thrust of Soil (P), Unit Weight of Soil (γ) & Coefficient of Active Pressure (K_A). With our tool, you need to enter the respective value for Total Thrust of Soil, Unit Weight of Soil & 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 Total Height of Wall?

In this formula, Total Height of Wall uses Total Thrust of Soil, Unit Weight of Soil & Coefficient of Active Pressure. 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*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*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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