Coefficient of Passive 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 Passive Pressure is defined as the ratio of the horizontal to vertical stress.ⓘ Coefficient of Passive Pressure given Angle of Internal Friction of Soil [K_P]

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

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Passive Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2
K_P = (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 Passive Pressure - Coefficient of Passive Pressure is defined as the ratio of the horizontal to vertical stress.
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_P = (tan((45*pi/180)-(φ/2)))^2 --> (tan((45*pi/180)-(0.802851455917241/2)))^2

Evaluating ... ...

K_P = 0.163237191162672

STEP 3: Convert Result to Output's Unit

0.163237191162672 --> No Conversion Required

FINAL ANSWER

0.163237191162672 ≈ 0.163237 <-- Coefficient of Passive 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 Passive Pressure given Angle of Internal Friction of Soil Formula

LaTeX Go

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

What is Coefficient of Passive Pressure?

The passive pressure coefficient Kp is defined as the ratio of the horizontal to vertical stress. The image below shows schematically the pressure states of a soil mass, as well as the Rankine formula of Kp for granular soils, where ϕ is the internal friction angle.

How to Calculate Coefficient of Passive Pressure given Angle of Internal Friction of Soil?

Coefficient of Passive Pressure given Angle of Internal Friction of Soil calculator uses Coefficient of Passive Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2 to calculate the Coefficient of Passive Pressure, The Coefficient of Passive Pressure given Angle of Internal Friction of Soil is defined as the ratio of horizontal to vertical stress when we have prior knowledge of angle of internal friction of soil. Coefficient of Passive Pressure is denoted by K_P symbol.

How to calculate Coefficient of Passive Pressure given Angle of Internal Friction of Soil using this online calculator? To use this online calculator for Coefficient of Passive 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 Passive 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 Passive Pressure given Angle of Internal Friction of Soil?

The Coefficient of Passive Pressure given Angle of Internal Friction of Soil is defined as the ratio of horizontal to vertical stress when we have prior knowledge of angle of internal friction of soil and is represented as K_P = (tan((45*pi/180)-(φ/2)))^2 or Coefficient of Passive 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 Passive Pressure given Angle of Internal Friction of Soil?

The Coefficient of Passive Pressure given Angle of Internal Friction of Soil is defined as the ratio of horizontal to vertical stress when we have prior knowledge of angle of internal friction of soil is calculated using Coefficient of Passive Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2. To calculate Coefficient of Passive 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 Passive Pressure?

In this formula, Coefficient of Passive Pressure uses Angle of Internal Friction. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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