Coefficient of Active Pressure given Total Thrust from Soil for Level Surface 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%
✖Total height of wall which is under the consideration.ⓘ Total Height of Wall [h_w]			+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 given Total Thrust from Soil for Level Surface [K_A]

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Coefficient of Active Pressure given Total Thrust from Soil for Level Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Total Height of Wall - (Measured in Meter) - Total height of wall which is under the consideration.

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)
Total Height of Wall: 3.1 Meter --> 3.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_A = (2*P)/(γ*(h_w)^2) --> (2*10000)/(18000*(3.1)^2)

Evaluating ... ...

K_A = 0.115620302925194

STEP 3: Convert Result to Output's Unit

0.115620302925194 --> No Conversion Required

FINAL ANSWER

0.115620302925194 ≈ 0.11562 <-- Coefficient of Active Pressure

(Calculation completed in 00.021 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)

Coefficient of Active Pressure given Total Thrust from Soil for Level Surface Formula

LaTeX Go

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

What is Coefficient of Active Pressure?

It 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 Coefficient of Active Pressure given Total Thrust from Soil for Level Surface?

Coefficient of Active Pressure given Total Thrust from Soil for Level Surface calculator uses Coefficient of Active Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2) to calculate the Coefficient of Active Pressure, The Coefficient of Active Pressure given Total Thrust from Soil for Level Surface is defined as the ratio of horizontal and vertical principal effective stresses when retaining wall moves away (by small amount) from retained soil. Coefficient of Active Pressure is denoted by K_A symbol.

How to calculate Coefficient of Active Pressure given Total Thrust from Soil for Level Surface using this online calculator? To use this online calculator for Coefficient of Active Pressure given Total Thrust from Soil for Level Surface, enter Total Thrust of Soil (P), Unit Weight of Soil (γ) & Total Height of Wall (h_w) and hit the calculate button. Here is how the Coefficient of Active Pressure given Total Thrust from Soil for Level Surface calculation can be explained with given input values -> 0.11562 = (2*10000)/(18000*(3.1)^2).

FAQ

What is Coefficient of Active Pressure given Total Thrust from Soil for Level Surface?

The Coefficient of Active Pressure given Total Thrust from Soil for Level Surface is defined as the ratio of horizontal and vertical principal effective stresses when retaining wall moves away (by small amount) from retained soil and is represented as K_A = (2*P)/(γ*(h_w)^2) or Coefficient of Active Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^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 & Total height of wall which is under the consideration.

How to calculate Coefficient of Active Pressure given Total Thrust from Soil for Level Surface?

The Coefficient of Active Pressure given Total Thrust from Soil for Level Surface is defined as the ratio of horizontal and vertical principal effective stresses when retaining wall moves away (by small amount) from retained soil is calculated using Coefficient of Active Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2). To calculate Coefficient of Active Pressure given Total Thrust from Soil for Level Surface, you need Total Thrust of Soil (P), Unit Weight of Soil (γ) & Total Height of Wall (h_w). With our tool, you need to enter the respective value for Total Thrust of Soil, Unit Weight of Soil & Total Height of Wall 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 Coefficient of Active Pressure?

In this formula, Coefficient of Active Pressure uses Total Thrust of Soil, Unit Weight of Soil & Total Height of Wall. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coefficient of Active Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2

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