Angle of Shearing Resistance Corresponding to Local Shear Failure Calculator

✖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 Corresponding to Local Shear Failure [φ]

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Angle of Shearing Resistance Corresponding to Local Shear Failure

Formula

`"φ" = atan((3/2)*tan(("φ"_{"m"})))`

Example

`"51.53277°"=atan((3/2)*tan(("40°")))`

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Download Terzaghi's Analysis: Shear Failure Theories Formula PDF

Angle of Shearing Resistance Corresponding to Local Shear Failure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction)))
φ = atan((3/2)*tan((φ_m)))
This formula uses 2 Functions, 2 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 - (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.
Angle of Mobilized Friction - (Measured in Radian) - Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.

STEP 1: Convert Input(s) to Base Unit

Angle of Mobilized Friction: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ = atan((3/2)*tan((φ_m))) --> atan((3/2)*tan((0.698131700797601)))

Evaluating ... ...

φ = 0.899416584004811

STEP 3: Convert Result to Output's Unit

0.899416584004811 Radian -->51.532774287559 Degree (Check conversion here)

FINAL ANSWER

51.532774287559 ≈ 51.53277 Degree <-- Angle of Shearing Resistance

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Terzaghi's Analysis: Shear Failure Theories » General and Local Shear Failure » Angle of Shearing Resistance Corresponding to Local Shear Failure

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Birsa Institute of Technology (BIT), Sindri

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< 18 General and Local Shear Failure Calculators

Bearing Capacity Factor Dependent on Unit Weight given Dimension of Footing

Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Width of Footing)

Bearing Capacity Factor Dependent on Cohesion given Dimension of Footing

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-(((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Cohesion in Soil as Kilopascal)

Width of Footing for Local Shear Failure given Bearing Capacity Factor

Go Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)

Cohesion of Soil for Local Shear Failure given Depth of Footing

Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-(((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Bearing Capacity Factor dependent on Cohesion)

Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing

Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Depth of Footing)

Bearing capacity for Local Shear Failure given Depth of Footing

Go Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Unit Weight of Soil given Bearing Capacity for Local Shear Failure

Go Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing)

Cohesion of Soil given Bearing Capacity for Local Shear Failure

Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Bearing Capacity Factor dependent on Cohesion)

Width of Footing given Bearing Capacity for Local Shear Failure

Go Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)

Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure

Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Width of Footing)

Bearing Capacity Factor Dependent on Cohesion for Local Shear Failure

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Cohesion of Soil)

Bearing Capacity Factor Dependent on Surcharge for Local Shear Failure

Effective Surcharge given Bearing Capacity for Local Shear Failure

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Surcharge

Bearing capacity for Local Shear Failure

Go Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Mobilised Angle of Shearing Resistance Corresponding to Local Shear Failure

Go Angle of Mobilized Friction = atan((2/3)*tan((Angle of Shearing Resistance)))

Angle of Shearing Resistance Corresponding to Local Shear Failure

Go Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction)))

Cohesion of Soil given Mobilised Cohesion Corresponding to Local Shear Failure

Go Cohesion of Soil = (3/2)*Mobilised Cohesion

Mobilised Cohesion Corresponding to Local Shear Failure

Go Mobilised Cohesion = (2/3)*Cohesion of Soil

Angle of Shearing Resistance Corresponding to Local Shear Failure Formula

Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction)))
φ = atan((3/2)*tan((φ_m)))

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 Corresponding to Local Shear Failure?

Angle of Shearing Resistance Corresponding to Local Shear Failure calculator uses Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction))) to calculate the Angle of Shearing Resistance, The Angle of Shearing Resistance Corresponding to Local Shear Failure is defined as the value of angle of shearing resistance when we have prior information of other parameters used. Angle of Shearing Resistance is denoted by φ symbol.

How to calculate Angle of Shearing Resistance Corresponding to Local Shear Failure using this online calculator? To use this online calculator for Angle of Shearing Resistance Corresponding to Local Shear Failure, enter Angle of Mobilized Friction (φ_m) and hit the calculate button. Here is how the Angle of Shearing Resistance Corresponding to Local Shear Failure calculation can be explained with given input values -> 2952.61 = atan((3/2)*tan((0.698131700797601))).

FAQ

What is Angle of Shearing Resistance Corresponding to Local Shear Failure?

The Angle of Shearing Resistance Corresponding to Local Shear Failure is defined as the value of angle of shearing resistance when we have prior information of other parameters used and is represented as φ = atan((3/2)*tan((φ_m))) or Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction))). Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.

How to calculate Angle of Shearing Resistance Corresponding to Local Shear Failure?

The Angle of Shearing Resistance Corresponding to Local Shear Failure 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 = atan((3/2)*tan((Angle of Mobilized Friction))). To calculate Angle of Shearing Resistance Corresponding to Local Shear Failure, you need Angle of Mobilized Friction (φ_m). With our tool, you need to enter the respective value for Angle of Mobilized Friction 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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