Loading Intensity given Passive Earth Pressure Calculator

✖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 dependent on Weight in Kp [P_pγ]			+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%

✖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.ⓘ Loading Intensity given Passive Earth Pressure [q]

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Formula

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Loading Intensity given Passive Earth Pressure

Formula

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

Example

`"1.382408kPa"=((2*("0.03kPa"+"0.07kPa"+"0.06kPa"))/"0.232m")+("1.27kPa"*tan(("45°"*pi)/180))-("18kN/m³"*"0.232m"*tan(("45°"*pi)/180))/4`

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Loading Intensity given Passive Earth Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
q = ((2*(P_pq+P_pc+P_pγ))/B)+(C*tan((φ*pi)/180))-(γ*B*tan((φ*pi)/180))/4
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

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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)
Passive Earth Pressure dependent on Weight in Kp: 0.06 Kilopascal --> 60 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = ((2*(P_pq+P_pc+P_pγ))/B)+(C*tan((φ*pi)/180))-(γ*B*tan((φ*pi)/180))/4 --> ((2*(30+70+60))/0.232)+(1270*tan((0.785398163397301*pi)/180))-(18000*0.232*tan((0.785398163397301*pi)/180))/4

Evaluating ... ...

q = 1382.40849804036

STEP 3: Convert Result to Output's Unit

1382.40849804036 Pascal -->1.38240849804036 Kilopascal (Check conversion here)

FINAL ANSWER

1.38240849804036 ≈ 1.382408 Kilopascal <-- Intensity of Loading in Kilopascal

(Calculation completed in 00.004 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)))

Loading Intensity given Passive Earth Pressure Formula

What is Active and Passive Earth Pressure?

The pressure exerted by backfill soil on retaining wall, is called as active earth pressure. The pressure exerted by retaining wall on soil is known as passive earth pressure.

How to Calculate Loading Intensity given Passive Earth Pressure?

Loading Intensity given Passive Earth Pressure calculator uses 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 to calculate the Intensity of Loading in Kilopascal, The Loading Intensity given Passive Earth Pressure is defined as the value of loading intensity when we have prior information of other parameters used. Intensity of Loading in Kilopascal is denoted by q symbol.

How to calculate Loading Intensity given Passive Earth Pressure using this online calculator? To use this online calculator for Loading Intensity given Passive Earth Pressure, enter Passive Earth Pressure Rely on Surcharge in Kp (P_pq), Passive Earth Pressure Dependent on Cohesion in Kp (P_pc), Passive Earth Pressure dependent on Weight in Kp (P_pγ), Width of Footing in Soil Mechanics (B), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Loading Intensity given Passive Earth Pressure calculation can be explained with given input values -> 0.001434 = ((2*(30+70+60))/0.232)+(1270*tan((0.785398163397301*pi)/180))-(18000*0.232*tan((0.785398163397301*pi)/180))/4.

FAQ

What is Loading Intensity given Passive Earth Pressure?

The Loading Intensity given Passive Earth Pressure is defined as the value of loading intensity when we have prior information of other parameters used and is represented as q = ((2*(P_pq+P_pc+P_pγ))/B)+(C*tan((φ*pi)/180))-(γ*B*tan((φ*pi)/180))/4 or 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 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, Passive Earth Pressure dependent on Weight in Kp means that passive earth pressure which is produced by weight of the shear zone 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.

How to calculate Loading Intensity given Passive Earth Pressure?

The Loading Intensity given Passive Earth Pressure is defined as the value of loading intensity when we have prior information of other parameters used is calculated using 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. To calculate Loading Intensity given Passive Earth Pressure, you need Passive Earth Pressure Rely on Surcharge in Kp (P_pq), Passive Earth Pressure Dependent on Cohesion in Kp (P_pc), Passive Earth Pressure dependent on Weight in Kp (P_pγ), Width of Footing in Soil Mechanics (B), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for 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, Angle of Shearing Resistance & Unit Weight of Soil 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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