Angle of Shearing Resistance given Passive Earth Pressure 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%
✖Passive Earth Pressure in kilopascal is the earth pressure exerted when the wall moves towards the backfill in kilopascal.ⓘ Passive Earth Pressure in kilopascal [P_p]			+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%
✖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%

✖Angle of shearing resistance in Soil Mechanics 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 given Passive Earth Pressure [φ_d]

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Formula

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Angle of Shearing Resistance given Passive Earth Pressure

Formula

`"φ"_{"d"} = atan(("q"*"B"-(2*"P"_{"p"}))/("B"*"C"-(("γ"*"B"^2)/4)))`

Example

`"-89.908855°"=atan(("90kPa"*"0.232m"-(2*"26.92kPa"))/("0.232m"*"1.27kPa"-(("18kN/m³"*("0.232m")^2)/4)))`

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Angle of Shearing Resistance given Passive Earth Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
φ_d = atan((q*B-(2*P_p))/(B*C-((γ*B^2)/4)))
This formula uses 2 Functions, 6 Variables

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)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Angle of shearing resistance in Soil Mechanics - (Measured in Radian) - Angle of shearing resistance in Soil Mechanics is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.
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.
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.
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.
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

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
Passive Earth Pressure in kilopascal: 26.92 Kilopascal --> 26920 Pascal (Check conversion here)
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (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

φ_d = atan((q*B-(2*P_p))/(B*C-((γ*B^2)/4))) --> atan((90000*0.232-(2*26920))/(0.232*1270-((18000*0.232^2)/4)))

Evaluating ... ...

φ_d = -1.56920555143772

STEP 3: Convert Result to Output's Unit

-1.56920555143772 Radian -->-89.9088552858975 Degree (Check conversion here)

FINAL ANSWER

-89.9088552858975 ≈ -89.908855 Degree <-- Angle of shearing resistance in Soil Mechanics

(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)))

Angle of Shearing Resistance given Passive Earth Pressure Formula

What is Angle of Shearing Resistance?

The 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. The shear strength is described by Mohr–Coulomb failure criterion adopted as widely accepted approach among the geotechnical engineers.

How to Calculate Angle of Shearing Resistance given Passive Earth Pressure?

Angle of Shearing Resistance given Passive Earth Pressure calculator uses 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))) to calculate the Angle of shearing resistance in Soil Mechanics, The Angle of Shearing Resistance given Passive Earth Pressure is defined as the value of angle of shearing resistance when we have prior information of other parameters used. Angle of shearing resistance in Soil Mechanics is denoted by φ_d symbol.

How to calculate Angle of Shearing Resistance given Passive Earth Pressure using this online calculator? To use this online calculator for Angle of Shearing Resistance given Passive Earth Pressure, enter Intensity of Loading in Kilopascal (q), Width of Footing in Soil Mechanics (B), Passive Earth Pressure in kilopascal (P_p), Cohesion in Soil as Kilopascal (C) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Angle of Shearing Resistance given Passive Earth Pressure calculation can be explained with given input values -> -5065.231957 = atan((90000*0.232-(2*26920))/(0.232*1270-((18000*0.232^2)/4))).

FAQ

What is Angle of Shearing Resistance given Passive Earth Pressure?

The Angle of Shearing Resistance given Passive Earth Pressure is defined as the value of angle of shearing resistance when we have prior information of other parameters used and is represented as φ_d = atan((q*B-(2*P_p))/(B*C-((γ*B^2)/4))) or 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))). 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, Passive Earth Pressure in kilopascal is the earth pressure exerted when the wall moves towards the backfill 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 & Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

How to calculate Angle of Shearing Resistance given Passive Earth Pressure?

The Angle of Shearing Resistance given Passive Earth Pressure is defined as the value of angle of shearing resistance when we have prior information of other parameters used is calculated using 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))). To calculate Angle of Shearing Resistance given Passive Earth Pressure, you need Intensity of Loading in Kilopascal (q), Width of Footing in Soil Mechanics (B), Passive Earth Pressure in kilopascal (P_p), Cohesion in Soil as Kilopascal (C) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for Intensity of Loading in Kilopascal, Width of Footing in Soil Mechanics, Passive Earth Pressure in kilopascal, Cohesion in Soil as Kilopascal & 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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