Coefficient of Active Pressure given Angle of Internal Friction of Soil Calculator

✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]

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✖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 Angle of Internal Friction of Soil [K_A]

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Coefficient of Active Pressure given Angle of Internal Friction of Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Active Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2
K_A = (tan((45*pi/180)-(φ/2)))^2
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_A = (tan((45*pi/180)-(φ/2)))^2 --> (tan((45*pi/180)-(0.802851455917241/2)))^2

Evaluating ... ...

K_A = 0.163237191162672

STEP 3: Convert Result to Output's Unit

0.163237191162672 --> No Conversion Required

FINAL ANSWER

0.163237191162672 ≈ 0.163237 <-- Coefficient of Active Pressure

(Calculation completed in 00.020 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 Angle of Internal Friction of Soil Formula

LaTeX Go

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

Coefficient of Active Pressure given Angle of Internal Friction of Soil calculator uses Coefficient of Active Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2 to calculate the Coefficient of Active Pressure, The Coefficient of Active Pressure given Angle of Internal Friction of Soil is defined as 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 is denoted by K_A symbol.

How to calculate Coefficient of Active Pressure given Angle of Internal Friction of Soil using this online calculator? To use this online calculator for Coefficient of Active Pressure given Angle of Internal Friction of Soil, enter Angle of Internal Friction (φ) and hit the calculate button. Here is how the Coefficient of Active Pressure given Angle of Internal Friction of Soil calculation can be explained with given input values -> 0.163237 = (tan((45*pi/180)-(0.802851455917241/2)))^2.

FAQ

What is Coefficient of Active Pressure given Angle of Internal Friction of Soil?

The Coefficient of Active Pressure given Angle of Internal Friction of Soil is defined as the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil and is represented as K_A = (tan((45*pi/180)-(φ/2)))^2 or Coefficient of Active Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2. Angle of Internal Friction is the angle measured between the normal force and resultant force .

How to calculate Coefficient of Active Pressure given Angle of Internal Friction of Soil?

The Coefficient of Active Pressure given Angle of Internal Friction of Soil is defined as the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil is calculated using Coefficient of Active Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2. To calculate Coefficient of Active Pressure given Angle of Internal Friction of Soil, you need Angle of Internal Friction (φ). With our tool, you need to enter the respective value for 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 Coefficient of Active Pressure?

In this formula, Coefficient of Active Pressure uses Angle of Internal Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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