Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis Calculator

✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖Length of Footing is the length of the larger dimension of the footing.ⓘ Length of Footing [L]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+10% -10%

✖Angle of Internal Friction For Plain Strain means angle of internal friction dependent on plain strain.ⓘ Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis [Φ_p]

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Formula

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Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis

Formula

`"Φ"_{"p"} = (1.1-0.1*("B"/"L"))*"φ"`

Example

`"48.3°"=(1.1-0.1*("2m"/"4m"))*"46°"`

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Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Internal Friction For Plain Strain = (1.1-0.1*(Width of Footing/Length of Footing))*Angle of Internal Friction
Φ_p = (1.1-0.1*(B/L))*φ
This formula uses 4 Variables

Variables Used

Angle of Internal Friction For Plain Strain - (Measured in Radian) - Angle of Internal Friction For Plain Strain means angle of internal friction dependent on plain strain.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Length of Footing - (Measured in Meter) - Length of Footing is the length of the larger dimension of the footing.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .

STEP 1: Convert Input(s) to Base Unit

Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Length of Footing: 4 Meter --> 4 Meter No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_p = (1.1-0.1*(B/L))*φ --> (1.1-0.1*(2/4))*0.802851455917241

Evaluating ... ...

Φ_p = 0.842994028713103

STEP 3: Convert Result to Output's Unit

0.842994028713103 Radian -->48.3 Degree (Check conversion here)

FINAL ANSWER

48.3 Degree <-- Angle of Internal Friction For Plain Strain

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Bearing Capacity of Soils: Meyerhof's Analysis Calculators

Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction

Go Bearing Capacity Factor dependent on Surcharge = (exp(pi*tan((Angle of Internal Friction*pi)/180)))*(tan(((45+(Angle of Internal Friction/2))*pi)/180))^2

Bearing Capacity Factor Dependent on Unit Weight Given Angle of Internal Friction

Go Bearing Capacity Factor dependent on Unit Weight = (Bearing Capacity Factor dependent on Surcharge-1)*tan(1.4*(Angle of Internal Friction))

Angle of Internal Friction given Bearing Capacity Factors

Go Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4

Bearing Capacity Factor Dependent on Surcharge given Unit Weight Bearing Capacity Factor

Go Bearing Capacity Factor dependent on Surcharge = (Bearing Capacity Factor dependent on Unit Weight/tan(1.4*Angle of Internal Friction))+1

Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis

Go Length of Footing = (0.1*Width of Footing)/(1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction))

Width of Footing given Angle of Shearing Resistance by Meyerhof's Analysis

Go Width of Footing = (1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction))*(Length of Footing/0.1)

Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis

Go Angle of Internal Friction For Plain Strain = (1.1-0.1*(Width of Footing/Length of Footing))*Angle of Internal Friction

Triaxial Angle of Shearing Resistance by Meyerhof's Analysis

Go Angle of Internal Friction = Angle of Internal Friction For Plain Strain/(1.1-0.1*(Width of Footing/Length of Footing))

Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis Formula

Angle of Internal Friction For Plain Strain = (1.1-0.1*(Width of Footing/Length of Footing))*Angle of Internal Friction
Φ_p = (1.1-0.1*(B/L))*φ

What is Plain Strain?

A stress condition in linear elastic fracture mechanics in which there is zero strain in the direction normal to the axis of applied tensile stress and direction of crack growth. It is achieved in thick plate, along a direction parallel to the plate.

How to Calculate Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis?

Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis calculator uses Angle of Internal Friction For Plain Strain = (1.1-0.1*(Width of Footing/Length of Footing))*Angle of Internal Friction to calculate the Angle of Internal Friction For Plain Strain, The Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis is defined as the value of angle of internal friction dependent on plain strain when we have prior information of other parameters used. Angle of Internal Friction For Plain Strain is denoted by Φ_p symbol.

How to calculate Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis using this online calculator? To use this online calculator for Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis, enter Width of Footing (B), Length of Footing (L) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis calculation can be explained with given input values -> 2767.386 = (1.1-0.1*(2/4))*0.802851455917241.

FAQ

What is Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis?

The Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis is defined as the value of angle of internal friction dependent on plain strain when we have prior information of other parameters used and is represented as Φ_p = (1.1-0.1*(B/L))*φ or Angle of Internal Friction For Plain Strain = (1.1-0.1*(Width of Footing/Length of Footing))*Angle of Internal Friction. Width of Footing is the shorter dimension of the footing, Length of Footing is the length of the larger dimension of the footing & Angle of Internal Friction is the angle measured between the normal force and resultant force .

How to calculate Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis?

The Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis is defined as the value of angle of internal friction dependent on plain strain when we have prior information of other parameters used is calculated using Angle of Internal Friction For Plain Strain = (1.1-0.1*(Width of Footing/Length of Footing))*Angle of Internal Friction. To calculate Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis, you need Width of Footing (B), Length of Footing (L) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Width of Footing, Length of Footing & Angle of Internal 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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