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)
KP = (2*P)/(γ*(hw)^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
KP = (2*P)/(γ*(hw)^2) --> (2*10000)/(18000*(3.1)^2)
Evaluating ... ...
KP = 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 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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25 Lateral Pressure for Cohesive and Non Cohesive Soil Calculators

Total Height of Wall given Total Thrust from Soil that are Completely Restrained
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)))))
Total Height of Wall given Total Thrust from Soil that are Free to move
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 Completely Restrained
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)))
Unit Weight of Soil given Total Thrust from Soil that are Free to Move
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 Completely Restrained
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 that are Free to Move
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)))
Cohesion of soil given Total Thrust from Soil that are Free to Move
Go Cohesion in Soil as Kilopascal = (0.25*Unit Weight of Soil*Total Height of Wall*sqrt(Coefficient of Active Pressure))-(0.5*Total Thrust of Soil/Total Height of Wall*sqrt(Coefficient of Active Pressure))
Total Thrust from Soil that are Free to Move to Considerable Amount
Go Total Thrust of Soil = ((0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure)-(2*Cohesion in Soil as Kilopascal*Total Height of Wall*sqrt(Coefficient of Active Pressure)))
Cohesion of soil given Total Thrust from Soil with Small Angles of Internal Friction
Go Cohesion in Soil as Kilopascal = ((0.25*Unit Weight of Soil*Total Height of Wall)-(0.5*Total Thrust of Soil/Total Height of Wall))
Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction
Go Unit Weight of Soil = ((2*Total Thrust of Soil/(Total Height of Wall)^2)+(4*Cohesion in Soil as Kilopascal/Total Height of Wall))
Total Thrust from Soil with Small Angles of Internal Friction
Go Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2)-(2*Cohesion in Soil as Kilopascal*Total Height of Wall)
Height of Wall given Thrust of Soil that are Completely Restrained and Surface is Level
Go Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Passive Pressure))
Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount
Go Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Passive Pressure))
Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall
Go Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Active Pressure))
Unit Weight of Soil given Thrust of Soil that are Completely Restrained and Surface is Level
Go Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Passive Pressure)
Coefficient of Passive Pressure given Thrust of Soil are Free to Move only Small Amount
Go Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)
Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount
Go Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Passive Pressure)
Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained
Go Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)
Total Thrust from Soil that are Completely Restrained and Surface is Level
Go Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive Pressure)
Total Thrust from Soil that are Free to Move only Small Amount
Go Total Thrust of Soil = (0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Passive Pressure)
Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall
Go Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Active Pressure)
Coefficient of Active Pressure given Total Thrust from Soil for Level Surface
Go Coefficient of Active Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)
Total Thrust from Soil when Surface behind Wall is Level
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
Go Coefficient of Passive Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2
Coefficient of Active Pressure given Angle of Internal Friction of Soil
Go Coefficient of Active Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2

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

Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)
KP = (2*P)/(γ*(hw)^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 KP 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 (hw) 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 KP = (2*P)/(γ*(hw)^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 (hw). 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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