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

STEP 0: Pre-Calculation Summary
Formula Used
Tensile Strain = (Poisson's Ratio*Tensile Stress on Body)/Modulus of Elasticity Of Bar
εtensile = (𝛎*σt)/Ebar
This formula uses 4 Variables
Variables Used
Tensile Strain - Tensile Strain is the ratio of change in length to original length.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Poisson's Ratio: 0.3 --> No Conversion Required
Tensile Stress on Body: 0.15 Megapascal --> 150000 Pascal (Check conversion here)
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εtensile = (𝛎*σt)/Ebar --> (0.3*150000)/11000000
Evaluating ... ...
εtensile = 0.00409090909090909
STEP 3: Convert Result to Output's Unit
0.00409090909090909 --> No Conversion Required
FINAL ANSWER
0.00409090909090909 0.004091 <-- Tensile Strain
(Calculation completed in 00.020 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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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)

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

Tensile Strain = (Poisson's Ratio*Tensile Stress on Body)/Modulus of Elasticity Of Bar
εtensile = (𝛎*σt)/Ebar

What is poisson's ratio?

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

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

Tensile strain in diagonal BD of square block ABCD due to compressive stress calculator uses Tensile Strain = (Poisson's Ratio*Tensile Stress on Body)/Modulus of Elasticity Of Bar to calculate the Tensile Strain, The Tensile strain in diagonal BD of square block ABCD due to compressive stress formula is defined as the equation used to determine the tensile strain with the help of known values of Poisson's ratio, tensile stress, and Young's modulus. Tensile Strain is denoted by εtensile symbol.

How to calculate Tensile strain in diagonal BD of square block ABCD due to compressive stress using this online calculator? To use this online calculator for Tensile strain in diagonal BD of square block ABCD due to compressive stress, enter Poisson's Ratio (𝛎), Tensile Stress on Body t) & Modulus of Elasticity Of Bar (Ebar) and hit the calculate button. Here is how the Tensile strain in diagonal BD of square block ABCD due to compressive stress calculation can be explained with given input values -> 0.004091 = (0.3*150000)/11000000.

FAQ

What is Tensile strain in diagonal BD of square block ABCD due to compressive stress?
The Tensile strain in diagonal BD of square block ABCD due to compressive stress formula is defined as the equation used to determine the tensile strain with the help of known values of Poisson's ratio, tensile stress, and Young's modulus and is represented as εtensile = (𝛎*σt)/Ebar or Tensile Strain = (Poisson's Ratio*Tensile Stress on Body)/Modulus of Elasticity Of Bar. 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, 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.
How to calculate Tensile strain in diagonal BD of square block ABCD due to compressive stress?
The Tensile strain in diagonal BD of square block ABCD due to compressive stress formula is defined as the equation used to determine the tensile strain with the help of known values of Poisson's ratio, tensile stress, and Young's modulus is calculated using Tensile Strain = (Poisson's Ratio*Tensile Stress on Body)/Modulus of Elasticity Of Bar. To calculate Tensile strain in diagonal BD of square block ABCD due to compressive stress, you need Poisson's Ratio (𝛎), Tensile Stress on Body t) & Modulus of Elasticity Of Bar (Ebar). With our tool, you need to enter the respective value for Poisson's Ratio, Tensile Stress on Body & Modulus of Elasticity 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 this formula, Tensile Strain uses Poisson's Ratio, Tensile Stress on Body & Modulus of Elasticity Of Bar. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Tensile Strain = Tensile Stress on Body/Modulus of Elasticity Of Bar
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