Total Tensile Strain in Diagonal of Square Block Calculator

✖Tensile Stress on Body can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.ⓘ Tensile Stress on Body [σ_t]			+10% -10%
✖Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity Of Bar [E_bar]			+10% -10%
✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖The Tensile Strain In Diagonal BD of block ABCD.ⓘ Total Tensile Strain in Diagonal of Square Block [ε_diagonal]

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Total Tensile Strain in Diagonal of Square Block Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tensile Strain In Diagonal = (Tensile Stress on Body/Modulus of Elasticity Of Bar)*(1+Poisson's Ratio)
ε_diagonal = (σ_t/E_bar)*(1+𝛎)
This formula uses 4 Variables

Variables Used

Tensile Strain In Diagonal - The Tensile Strain In Diagonal BD of block ABCD.
Tensile Stress on Body - (Measured in Pascal) - Tensile Stress on Body can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.
Modulus of Elasticity Of Bar - (Measured in Pascal) - Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

STEP 1: Convert Input(s) to Base Unit

Tensile Stress on Body: 0.15 Megapascal --> 150000 Pascal (Check conversion here)
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_diagonal = (σ_t/E_bar)*(1+𝛎) --> (150000/11000000)*(1+0.3)

Evaluating ... ...

ε_diagonal = 0.0177272727272727

STEP 3: Convert Result to Output's Unit

0.0177272727272727 --> No Conversion Required

FINAL ANSWER

0.0177272727272727 ≈ 0.017727 <-- Tensile Strain In Diagonal

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Stress and Strain » Mechanical » Direct Strains of Diagonal » Total Tensile Strain in Diagonal of Square Block

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

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National Institute Of Technology (NIT), Hamirpur

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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 of Square Block Formula

LaTeX Go

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

What is poisson's ratio?

Poisson's ratio is defined as the negative of the ratio of lateral strain to the longitudinal strain.

What is tensile strain?

Tensile strain is defined as the deformation or elongation of a solid body due to the application of a tensile force or stress.

How to Calculate Total Tensile Strain in Diagonal of Square Block?

Total Tensile Strain in Diagonal of Square Block calculator uses Tensile Strain In Diagonal = (Tensile Stress on Body/Modulus of Elasticity Of Bar)*(1+Poisson's Ratio) to calculate the Tensile Strain In Diagonal, The Total Tensile Strain in Diagonal of Square Block formula is defined as the equation used to determine tensile strain in the diagonal of the square block with the help of stress, modulus of elasticity, and Poisson's ratio. Tensile Strain In Diagonal is denoted by ε_diagonal symbol.

How to calculate Total Tensile Strain in Diagonal of Square Block using this online calculator? To use this online calculator for Total Tensile Strain in Diagonal of Square Block, enter Tensile Stress on Body (σ_t), Modulus of Elasticity Of Bar (E_bar) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Total Tensile Strain in Diagonal of Square Block calculation can be explained with given input values -> 0.017727 = (150000/11000000)*(1+0.3).

FAQ

What is Total Tensile Strain in Diagonal of Square Block?

The Total Tensile Strain in Diagonal of Square Block formula is defined as the equation used to determine tensile strain in the diagonal of the square block with the help of stress, modulus of elasticity, and Poisson's ratio and is represented as ε_diagonal = (σ_t/E_bar)*(1+𝛎) or Tensile Strain In Diagonal = (Tensile Stress on Body/Modulus of Elasticity Of Bar)*(1+Poisson's Ratio). Tensile Stress on Body can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force, Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it & Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

How to calculate Total Tensile Strain in Diagonal of Square Block?

The Total Tensile Strain in Diagonal of Square Block formula is defined as the equation used to determine tensile strain in the diagonal of the square block with the help of stress, modulus of elasticity, and Poisson's ratio is calculated using Tensile Strain In Diagonal = (Tensile Stress on Body/Modulus of Elasticity Of Bar)*(1+Poisson's Ratio). To calculate Total Tensile Strain in Diagonal of Square Block, you need Tensile Stress on Body (σ_t), Modulus of Elasticity Of Bar (E_bar) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Tensile Stress on Body, Modulus of Elasticity Of Bar & Poisson's Ratio 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 Tensile Stress on Body, Modulus of Elasticity Of Bar & Poisson's Ratio. 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 = (Shear Strain/2)
Tensile Strain In Diagonal = Shear Stress in body/(2*Modulus of rigidity Of Bar)

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