Passive Earth Pressure Produced by Weight of Shear Zone 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%
✖Width of Footing in Soil Mechanics is the shorter dimension of the footing.ⓘ Width of Footing in Soil Mechanics [B]			+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%
✖Passive Earth Pressure Rely on Surcharge in Kp means that passive earth pressure which is produced by surcharge in kilopascal.ⓘ Passive Earth Pressure Rely on Surcharge in Kp [P_pq]			+10% -10%
✖Passive Earth Pressure Dependent on Cohesion in Kp means that passive earth pressure which is produced by soil cohesion in kilopascal.ⓘ Passive Earth Pressure Dependent on Cohesion in Kp [P_pc]			+10% -10%

✖Passive Earth Pressure dependent on Weight in Kp means that passive earth pressure which is produced by weight of the shear zone in Kilopascal.ⓘ Passive Earth Pressure Produced by Weight of Shear Zone [P_pγ]

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Formula

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Passive Earth Pressure Produced by Weight of Shear Zone

Formula

`"P"_{"pγ"} = ((("q"*"B")-("B"*"C"*tan(("φ"*pi)/180))+(("γ"*("B")^2*tan(("φ"*pi)/180))/4))/(2))-("P"_{"pq"}+"P"_{"pc"})`

Example

`"10.33964kPa"=((("90kPa"*"0.232m")-("0.232m"*"1.27kPa"*tan(("45°"*pi)/180))+(("18kN/m³"*("0.232m")^2*tan(("45°"*pi)/180))/4))/(2))-("0.03kPa"+"0.07kPa")`

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Passive Earth Pressure Produced by Weight of Shear Zone Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_pγ = (((q*B)-(B*C*tan((φ*pi)/180))+((γ*(B)^2*tan((φ*pi)/180))/4))/(2))-(P_pq+P_pc)
This formula uses 1 Constants, 1 Functions, 8 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 dependent on Weight in Kp - (Measured in Pascal) - Passive Earth Pressure dependent on Weight in Kp means that passive earth pressure which is produced by weight of the shear zone 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.
Width of Footing in Soil Mechanics - (Measured in Meter) - Width of Footing in Soil Mechanics is the shorter dimension of the footing.
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.
Passive Earth Pressure Rely on Surcharge in Kp - (Measured in Pascal) - Passive Earth Pressure Rely on Surcharge in Kp means that passive earth pressure which is produced by surcharge in kilopascal.
Passive Earth Pressure Dependent on Cohesion in Kp - (Measured in Pascal) - Passive Earth Pressure Dependent on Cohesion in Kp means that passive earth pressure which is produced by soil cohesion in kilopascal.

STEP 1: Convert Input(s) to Base Unit

Intensity of Loading in Kilopascal: 90 Kilopascal --> 90000 Pascal (Check conversion here)
Width of Footing in Soil Mechanics: 0.232 Meter --> 0.232 Meter No Conversion Required
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)
Passive Earth Pressure Rely on Surcharge in Kp: 0.03 Kilopascal --> 30 Pascal (Check conversion here)
Passive Earth Pressure Dependent on Cohesion in Kp: 0.07 Kilopascal --> 70 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_pγ = (((q*B)-(B*C*tan((φ*pi)/180))+((γ*(B)^2*tan((φ*pi)/180))/4))/(2))-(P_pq+P_pc) --> (((90000*0.232)-(0.232*1270*tan((0.785398163397301*pi)/180))+((18000*(0.232)^2*tan((0.785398163397301*pi)/180))/4))/(2))-(30+70)

Evaluating ... ...

P_pγ = 10339.6406142273

STEP 3: Convert Result to Output's Unit

10339.6406142273 Pascal -->10.3396406142273 Kilopascal (Check conversion here)

FINAL ANSWER

10.3396406142273 ≈ 10.33964 Kilopascal <-- Passive Earth Pressure dependent on Weight in Kp

(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 Produced by Weight of Shear Zone Formula

What is Unit Weight of Soil?

Unit weight of the soil is the total weight of the soil divided by total volume. Total weight of soil also includes weight of water. Total volume occupied includes the volume of water as well as the volume of air along with the soil volume.

How to Calculate Passive Earth Pressure Produced by Weight of Shear Zone?

Passive Earth Pressure Produced by Weight of Shear Zone calculator uses 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) to calculate the Passive Earth Pressure dependent on Weight in Kp, The Passive Earth Pressure Produced by Weight of Shear Zone is defined as the value of passive earth pressure produced by unit weight when we have prior information of other parameters used. Passive Earth Pressure dependent on Weight in Kp is denoted by P_pγ symbol.

How to calculate Passive Earth Pressure Produced by Weight of Shear Zone using this online calculator? To use this online calculator for Passive Earth Pressure Produced by Weight of Shear Zone, enter Intensity of Loading in Kilopascal (q), Width of Footing in Soil Mechanics (B), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ), Unit Weight of Soil (γ), Passive Earth Pressure Rely on Surcharge in Kp (P_pq) & Passive Earth Pressure Dependent on Cohesion in Kp (P_pc) and hit the calculate button. Here is how the Passive Earth Pressure Produced by Weight of Shear Zone calculation can be explained with given input values -> 0.010334 = (((90000*0.232)-(0.232*1270*tan((0.785398163397301*pi)/180))+((18000*(0.232)^2*tan((0.785398163397301*pi)/180))/4))/(2))-(30+70).

FAQ

What is Passive Earth Pressure Produced by Weight of Shear Zone?

The Passive Earth Pressure Produced by Weight of Shear Zone is defined as the value of passive earth pressure produced by unit weight when we have prior information of other parameters used and is represented as P_pγ = (((q*B)-(B*C*tan((φ*pi)/180))+((γ*(B)^2*tan((φ*pi)/180))/4))/(2))-(P_pq+P_pc) or 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). 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, Width of Footing in Soil Mechanics is the shorter dimension of the footing, 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, Passive Earth Pressure Rely on Surcharge in Kp means that passive earth pressure which is produced by surcharge in kilopascal & Passive Earth Pressure Dependent on Cohesion in Kp means that passive earth pressure which is produced by soil cohesion in kilopascal.

How to calculate Passive Earth Pressure Produced by Weight of Shear Zone?

The Passive Earth Pressure Produced by Weight of Shear Zone is defined as the value of passive earth pressure produced by unit weight when we have prior information of other parameters used is calculated using 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). To calculate Passive Earth Pressure Produced by Weight of Shear Zone, you need Intensity of Loading in Kilopascal (q), Width of Footing in Soil Mechanics (B), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ), Unit Weight of Soil (γ), Passive Earth Pressure Rely on Surcharge in Kp (P_pq) & Passive Earth Pressure Dependent on Cohesion in Kp (P_pc). With our tool, you need to enter the respective value for Intensity of Loading in Kilopascal, Width of Footing in Soil Mechanics, Cohesion in Soil as Kilopascal, Angle of Shearing Resistance, Unit Weight of Soil, Passive Earth Pressure Rely on Surcharge in Kp & Passive Earth Pressure Dependent on Cohesion in Kp 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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