Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity Calculator

✖Shear Stress in body is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in body [𝜏]			+10% -10%
✖Modulus of rigidity of Bar is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.ⓘ Modulus of rigidity Of Bar [G]			+10% -10%

✖The Tensile Strain In Diagonal BD of block ABCD.ⓘ Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity [ε_diagonal]

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Formula

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Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity

Formula

`"ε"_{"diagonal"} = "𝜏"/(2*"G")`

Example

`"0.006667"="0.2MPa"/(2*"15MPa")`

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Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tensile Strain In Diagonal = Shear Stress in body/(2*Modulus of rigidity Of Bar)
ε_diagonal = 𝜏/(2*G)
This formula uses 3 Variables

Variables Used

Tensile Strain In Diagonal - The Tensile Strain In Diagonal BD of block ABCD.
Shear Stress in body - (Measured in Pascal) - Shear Stress in body is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Modulus of rigidity Of Bar - (Measured in Pascal) - Modulus of rigidity of Bar is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in body: 0.2 Megapascal --> 200000 Pascal (Check conversion here)
Modulus of rigidity Of Bar: 15 Megapascal --> 15000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_diagonal = 𝜏/(2*G) --> 200000/(2*15000000)

Evaluating ... ...

ε_diagonal = 0.00666666666666667

STEP 3: Convert Result to Output's Unit

0.00666666666666667 --> No Conversion Required

FINAL ANSWER

0.00666666666666667 ≈ 0.006667 <-- Tensile Strain In Diagonal

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Direct Strains of Diagonal » Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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National Institute Of Technology (NIT), Hamirpur

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< 11 Direct Strains of Diagonal Calculators

Poisson's ratio given tensile strain due to compressive stress in diagonal BD

Go Poisson's Ratio = (Tensile Strain In Diagonal*Modulus of Elasticity Of Bar)/Permissible Tensile Stress

Total Compressive Strain in Diagonal AC of Square Block ABCD

Go Tensile Strain In Diagonal = (Tensile Stress on Body/Modulus of Elasticity Of Bar)*(1+Poisson's Ratio)

Total Tensile Strain in Diagonal of Square Block

Go Tensile Strain In Diagonal = (Tensile Stress on Body/Modulus of Elasticity Of Bar)*(1+Poisson's Ratio)

Tensile strain in diagonal BD of square block ABCD due to compressive stress

Go Tensile Strain = (Poisson's Ratio*Tensile Stress on Body)/Modulus of Elasticity Of Bar

Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity

Go Tensile Strain In Diagonal = Shear Stress in body/(2*Modulus of rigidity Of Bar)

Modulus of Rigidity using Young's Modulus and Poisson's Ratio

Go Modulus of rigidity Of Bar = Young's Modulus Bar/(2*(1+Poisson's Ratio))

Poisson's Ratio using Modulus of Rigidity

Go Poisson's Ratio = (Young's Modulus Bar/(2*Modulus of rigidity Of Bar))-1

Young's Modulus using Modulus of Rigidity

Go Young's Modulus Bar = 2*Modulus of rigidity Of Bar*(1+Poisson's Ratio)

Tensile Strain in Diagonal of Square Block due to Tensile Stress

Go Tensile Strain = Tensile Stress on Body/Modulus of Elasticity Of Bar

Tensile Strain in Diagonal given Shear Strain for Square Block

Go Tensile Strain In Diagonal = (Shear Strain/2)

Shear Strain in Diagonal given Tensile Strain for Square Block

Go Shear Strain = (2*Tensile Strain In Diagonal)

Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity Formula

Tensile Strain In Diagonal = Shear Stress in body/(2*Modulus of rigidity Of Bar)
ε_diagonal = 𝜏/(2*G)

What is tensile strain in diagonal?

When a block undergoes shear strain, the diagonal tends to increase in length, hence it suffers tensile strain which is half the value of shear strain.

How to Calculate Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity?

Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity calculator uses Tensile Strain In Diagonal = Shear Stress in body/(2*Modulus of rigidity Of Bar) to calculate the Tensile Strain In Diagonal, The Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity formula can be calculated by dividing the shear stress by twice the value of the modulus of rigidity. Tensile Strain In Diagonal is denoted by ε_diagonal symbol.

How to calculate Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity using this online calculator? To use this online calculator for Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity, enter Shear Stress in body (𝜏) & Modulus of rigidity Of Bar (G) and hit the calculate button. Here is how the Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity calculation can be explained with given input values -> 0.006667 = 200000/(2*15000000).

FAQ

What is Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity?

The Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity formula can be calculated by dividing the shear stress by twice the value of the modulus of rigidity and is represented as ε_diagonal = 𝜏/(2*G) or Tensile Strain In Diagonal = Shear Stress in body/(2*Modulus of rigidity Of Bar). Shear Stress in body is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Modulus of rigidity of Bar is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

How to calculate Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity?

The Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity formula can be calculated by dividing the shear stress by twice the value of the modulus of rigidity is calculated using Tensile Strain In Diagonal = Shear Stress in body/(2*Modulus of rigidity Of Bar). To calculate Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity, you need Shear Stress in body (𝜏) & Modulus of rigidity Of Bar (G). With our tool, you need to enter the respective value for Shear Stress in body & Modulus of rigidity Of Bar and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Tensile Strain In Diagonal?

In this formula, Tensile Strain In Diagonal uses Shear Stress in body & Modulus of rigidity Of Bar. We can use 3 other way(s) to calculate the same, which is/are as follows -

Tensile Strain In Diagonal = (Tensile Stress on Body/Modulus of Elasticity Of Bar)*(1+Poisson's Ratio)
Tensile Strain In Diagonal = (Tensile Stress on Body/Modulus of Elasticity Of Bar)*(1+Poisson's Ratio)
Tensile Strain In Diagonal = (Shear Strain/2)

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