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

✖The Shear Stress in body is the internal force per unit area that causes layers of material to slide past each other, influencing the material's deformation and strength.ⓘ Shear Stress in Body [𝜏]			+10% -10%
✖The Modulus of rigidity of Bar is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity.ⓘ Modulus of Rigidity of Bar [G]			+10% -10%

✖The Tensile Strain In Diagonal is the measure of deformation experienced by a material when subjected to tensile stress along its diagonal axis.ⓘ Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity [ε_diagonal]

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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 is the measure of deformation experienced by a material when subjected to tensile stress along its diagonal axis.
Shear Stress in Body - (Measured in Pascal) - The Shear Stress in body is the internal force per unit area that causes layers of material to slide past each other, influencing the material's deformation and strength.
Modulus of Rigidity of Bar - (Measured in Pascal) - The Modulus of rigidity of Bar is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Body: 0.52 Megapascal --> 520000 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) --> 520000/(2*15000000)

Evaluating ... ...

ε_diagonal = 0.0173333333333333

STEP 3: Convert Result to Output's Unit

0.0173333333333333 --> No Conversion Required

FINAL ANSWER

0.0173333333333333 ≈ 0.017333 <-- Tensile Strain In Diagonal

(Calculation completed in 00.008 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< Direct Strains of Diagonal Calculators

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

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

Total Tensile Strain in Diagonal of Square Block

LaTeX 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

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

Tensile Strain in Diagonal of Square Block due to Tensile Stress

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

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

LaTeX Go

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, Total tensile strain in diagonal BD of square block ABCD given modulus of rigidity formula is defined as a measure of the deformation experienced by the diagonal under applied shear stress, relative to the material's rigidity. It helps assess the material's response to stress in structural applications. 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 = 520000/(2*15000000).

FAQ

What is 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 formula is defined as a measure of the deformation experienced by the diagonal under applied shear stress, relative to the material's rigidity. It helps assess the material's response to stress in structural applications and is represented as ε_diagonal = 𝜏/(2*G) or Tensile Strain In Diagonal = Shear Stress in Body/(2*Modulus of Rigidity of Bar). The Shear Stress in body is the internal force per unit area that causes layers of material to slide past each other, influencing the material's deformation and strength & The Modulus of rigidity of Bar is a measure of a material's ability to resist deformation under shear stress, indicating its stiffness and structural integrity.

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 formula is defined as a measure of the deformation experienced by the diagonal under applied shear stress, relative to the material's rigidity. It helps assess the material's response to stress in structural applications 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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