Passive Earth Pressure given Loading Intensity Calculator

✖Intensity of Loading in Kilopascal is defined as the Intensity of Loading at the base of foundation, at which soil support fails in shear is called ultimate bearing capacity of soils in kilopascal.ⓘ Intensity of Loading in Kilopascal [q]			+10% -10%
✖Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.ⓘ Cohesion in Soil as Kilopascal [C]			+10% -10%
✖Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.ⓘ Angle of Shearing Resistance [φ]			+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%
✖Width of Footing in Soil Mechanics is the shorter dimension of the footing.ⓘ Width of Footing in Soil Mechanics [B]			+10% -10%

✖Passive Earth Pressure in kilopascal is the earth pressure exerted when the wall moves towards the backfill in kilopascal.ⓘ Passive Earth Pressure given Loading Intensity [P_p]

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Formula

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Passive Earth Pressure given Loading Intensity

Formula

`"P"_{"p"} = ("q"-(("C"*tan(("φ"*pi)/180))-(("γ"*"B"*tan(("φ"*pi)/180))/4)))*("B"/2)`

Example

`"10.43964kPa"=("90kPa"-(("1.27kPa"*tan(("45°"*pi)/180))-(("18kN/m³"*"0.232m"*tan(("45°"*pi)/180))/4)))*("0.232m"/2)`

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Passive Earth Pressure given Loading Intensity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Passive Earth Pressure in kilopascal = (Intensity of Loading in Kilopascal-((Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-((Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4)))*(Width of Footing in Soil Mechanics/2)
P_p = (q-((C*tan((φ*pi)/180))-((γ*B*tan((φ*pi)/180))/4)))*(B/2)
This formula uses 1 Constants, 1 Functions, 6 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

Passive Earth Pressure in kilopascal - (Measured in Pascal) - Passive Earth Pressure in kilopascal is the earth pressure exerted when the wall moves towards the backfill in kilopascal.
Intensity of Loading in Kilopascal - (Measured in Pascal) - Intensity of Loading in Kilopascal is defined as the Intensity of Loading at the base of foundation, at which soil support fails in shear is called ultimate bearing capacity of soils in kilopascal.
Cohesion in Soil as Kilopascal - (Measured in Pascal) - Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.
Angle of Shearing Resistance - (Measured in Radian) - Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.
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.
Width of Footing in Soil Mechanics - (Measured in Meter) - Width of Footing in Soil Mechanics is the shorter dimension of the footing.

STEP 1: Convert Input(s) to Base Unit

Intensity of Loading in Kilopascal: 90 Kilopascal --> 90000 Pascal (Check conversion here)
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion here)
Angle of Shearing Resistance: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Width of Footing in Soil Mechanics: 0.232 Meter --> 0.232 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_p = (q-((C*tan((φ*pi)/180))-((γ*B*tan((φ*pi)/180))/4)))*(B/2) --> (90000-((1270*tan((0.785398163397301*pi)/180))-((18000*0.232*tan((0.785398163397301*pi)/180))/4)))*(0.232/2)

Evaluating ... ...

P_p = 10439.6406142273

STEP 3: Convert Result to Output's Unit

10439.6406142273 Pascal -->10.4396406142273 Kilopascal (Check conversion here)

FINAL ANSWER

10.4396406142273 ≈ 10.43964 Kilopascal <-- Passive Earth Pressure in kilopascal

(Calculation completed in 00.020 seconds)

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< 6 Passive Earth Pressure Theory Calculators

Passive Earth Pressure Produced by Weight of Shear Zone

Go Passive Earth Pressure dependent on Weight in Kp = (((Intensity of Loading in Kilopascal*Width of Footing in Soil Mechanics)-(Width of Footing in Soil Mechanics*Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))+((Unit Weight of Soil*(Width of Footing in Soil Mechanics)^2*tan((Angle of Shearing Resistance*pi)/180))/4))/(2))-(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp)

Passive Earth Pressure Produced by Soil Cohesion

Go Passive Earth Pressure Dependent on Cohesion in Kp = (((Intensity of Loading in Kilopascal*Width of Footing in Soil Mechanics)-(Width of Footing in Soil Mechanics*Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))+((Unit Weight of Soil*(Width of Footing in Soil Mechanics)^2*tan((Angle of Shearing Resistance*pi)/180))/4))/(2))-(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure dependent on Weight in Kp)

Passive Earth Pressure Produced by Surcharge

Go Passive Earth Pressure Rely on Surcharge in Kp = (((Intensity of Loading in Kilopascal*Width of Footing in Soil Mechanics)-(Width of Footing in Soil Mechanics*Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))+((Unit Weight of Soil*(Width of Footing in Soil Mechanics)^2*tan((Angle of Shearing Resistance*pi)/180))/4))/(2))-(Passive Earth Pressure Dependent on Cohesion in Kp+Passive Earth Pressure dependent on Weight in Kp)

Loading Intensity given Passive Earth Pressure

Go Intensity of Loading in Kilopascal = ((2*(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp+Passive Earth Pressure dependent on Weight in Kp))/Width of Footing in Soil Mechanics)+(Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-(Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4

Passive Earth Pressure given Loading Intensity

Go Passive Earth Pressure in kilopascal = (Intensity of Loading in Kilopascal-((Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-((Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4)))*(Width of Footing in Soil Mechanics/2)

Angle of Shearing Resistance given Passive Earth Pressure

Go Angle of shearing resistance in Soil Mechanics = atan((Intensity of Loading in Kilopascal*Width of Footing in Soil Mechanics-(2*Passive Earth Pressure in kilopascal))/(Width of Footing in Soil Mechanics*Cohesion in Soil as Kilopascal-((Unit Weight of Soil*Width of Footing in Soil Mechanics^2)/4)))

Passive Earth Pressure given Loading Intensity Formula

What is Passive Earth Pressure?

Passive earth pressure is the highest limiting lateral pressure developed at the onset of shear failure by wall moving (penetrating) in the direction opposite to the direction of acting earth pressure (minimal wall rotation necessary for the evolution of passive earth pressure is about 10 mrad, i.e. 10 mm/m of the wall height).

How to Calculate Passive Earth Pressure given Loading Intensity?

Passive Earth Pressure given Loading Intensity calculator uses Passive Earth Pressure in kilopascal = (Intensity of Loading in Kilopascal-((Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-((Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4)))*(Width of Footing in Soil Mechanics/2) to calculate the Passive Earth Pressure in kilopascal, The Passive Earth Pressure given Loading Intensity is defined as the value of passive earth pressure when we have prior information of other parameters used. Passive Earth Pressure in kilopascal is denoted by P_p symbol.

How to calculate Passive Earth Pressure given Loading Intensity using this online calculator? To use this online calculator for Passive Earth Pressure given Loading Intensity, enter Intensity of Loading in Kilopascal (q), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ), Unit Weight of Soil (γ) & Width of Footing in Soil Mechanics (B) and hit the calculate button. Here is how the Passive Earth Pressure given Loading Intensity calculation can be explained with given input values -> 0.010434 = (90000-((1270*tan((0.785398163397301*pi)/180))-((18000*0.232*tan((0.785398163397301*pi)/180))/4)))*(0.232/2).

FAQ

What is Passive Earth Pressure given Loading Intensity?

The Passive Earth Pressure given Loading Intensity is defined as the value of passive earth pressure when we have prior information of other parameters used and is represented as P_p = (q-((C*tan((φ*pi)/180))-((γ*B*tan((φ*pi)/180))/4)))*(B/2) or Passive Earth Pressure in kilopascal = (Intensity of Loading in Kilopascal-((Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-((Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4)))*(Width of Footing in Soil Mechanics/2). Intensity of Loading in Kilopascal is defined as the Intensity of Loading at the base of foundation, at which soil support fails in shear is called ultimate bearing capacity of soils in kilopascal, Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil, Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Width of Footing in Soil Mechanics is the shorter dimension of the footing.

How to calculate Passive Earth Pressure given Loading Intensity?

The Passive Earth Pressure given Loading Intensity is defined as the value of passive earth pressure when we have prior information of other parameters used is calculated using Passive Earth Pressure in kilopascal = (Intensity of Loading in Kilopascal-((Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-((Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4)))*(Width of Footing in Soil Mechanics/2). To calculate Passive Earth Pressure given Loading Intensity, you need Intensity of Loading in Kilopascal (q), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ), Unit Weight of Soil (γ) & Width of Footing in Soil Mechanics (B). With our tool, you need to enter the respective value for Intensity of Loading in Kilopascal, Cohesion in Soil as Kilopascal, Angle of Shearing Resistance, Unit Weight of Soil & Width of Footing in Soil Mechanics and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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