Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained 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 Passive Pressure is defined as the ratio of the horizontal to vertical stress.ⓘ Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained [K_P]

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Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Coefficient of Passive Pressure - Coefficient of Passive Pressure is defined as the ratio of the horizontal to vertical stress.
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_P = (2*P)/(γ*(h_w)^2) --> (2*10000)/(18000*(3.1)^2)

Evaluating ... ...

K_P = 0.115620302925194

STEP 3: Convert Result to Output's Unit

0.115620302925194 --> No Conversion Required

FINAL ANSWER

0.115620302925194 ≈ 0.11562 <-- Coefficient of Passive Pressure

(Calculation completed in 00.020 seconds)

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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 Thrust of Soil that are Completely Restrained Formula

LaTeX Go

Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)
K_P = (2*P)/(γ*(h_w)^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 Thrust of Soil that are Completely Restrained?

Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained calculator uses Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2) to calculate the Coefficient of Passive Pressure, The Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained is defined as ratio of horizontal to vertical stress. Coefficient of Passive Pressure is denoted by K_P symbol.

How to calculate Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained using this online calculator? To use this online calculator for Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained, 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 Passive Pressure given Thrust of Soil that are Completely Restrained calculation can be explained with given input values -> 0.11562 = (2*10000)/(18000*(3.1)^2).

FAQ

What is Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained?

The Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained is defined as ratio of horizontal to vertical stress and is represented as K_P = (2*P)/(γ*(h_w)^2) or Coefficient of Passive 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 Passive Pressure given Thrust of Soil that are Completely Restrained?

The Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained is defined as ratio of horizontal to vertical stress is calculated using Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2). To calculate Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained, 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 Passive Pressure?

In this formula, Coefficient of Passive Pressure uses Total Thrust of Soil, Unit Weight of Soil & Total Height of Wall. We can use 2 other way(s) to calculate the same, which is/are as follows -

Coefficient of Passive Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2
Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)

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