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

STEP 0: Pre-Calculation Summary
Formula Used
Poisson's Ratio = (Tensile Strain In Diagonal*Modulus of Elasticity Of Bar)/Permissible Tensile Stress
𝛎 = (εdiagonal*Ebar)/σtp
This formula uses 4 Variables
Variables Used
Poisson's Ratio - The Poisson's Ratio is a measure of the ratio of transverse strain to axial strain in a material when it is subjected to stress.
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.
Modulus of Elasticity Of Bar - (Measured in Pascal) - The Modulus of Elasticity Of Bar is a measure of a material's ability to deform elastically when a force is applied, indicating its stiffness and resistance to deformation.
Permissible Tensile Stress - (Measured in Pascal) - The Permissible Tensile Stress is the maximum stress that a material can withstand while being stretched or pulled without failing.
STEP 1: Convert Input(s) to Base Unit
Tensile Strain In Diagonal: 0.017 --> No Conversion Required
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion ​here)
Permissible Tensile Stress: 0.61 Megapascal --> 610000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛎 = (εdiagonal*Ebar)/σtp --> (0.017*11000000)/610000
Evaluating ... ...
𝛎 = 0.30655737704918
STEP 3: Convert Result to Output's Unit
0.30655737704918 --> No Conversion Required
FINAL ANSWER
0.30655737704918 0.306557 <-- Poisson's Ratio
(Calculation completed in 00.004 seconds)

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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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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

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

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

What is ultimate tensile strength?

Ultimate tensile strength, often shortened to tensile strength, ultimate strength, is the maximum stress that a material can withstand while being stretched or pulled before breaking.

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

Poisson's ratio given tensile strain due to compressive stress in diagonal BD calculator uses Poisson's Ratio = (Tensile Strain In Diagonal*Modulus of Elasticity Of Bar)/Permissible Tensile Stress to calculate the Poisson's Ratio, Poisson's ratio given tensile strain due to compressive stress in diagonal BD formula is defined as a measure of the relationship between lateral strain and axial strain in materials subjected to stress. It helps in understanding how materials deform under various loading conditions. Poisson's Ratio is denoted by 𝛎 symbol.

How to calculate Poisson's ratio given tensile strain due to compressive stress in diagonal BD using this online calculator? To use this online calculator for Poisson's ratio given tensile strain due to compressive stress in diagonal BD, enter Tensile Strain In Diagonal diagonal), Modulus of Elasticity Of Bar (Ebar) & Permissible Tensile Stress tp) and hit the calculate button. Here is how the Poisson's ratio given tensile strain due to compressive stress in diagonal BD calculation can be explained with given input values -> 0.002493 = (0.017*11000000)/610000.

FAQ

What is Poisson's ratio given tensile strain due to compressive stress in diagonal BD?
Poisson's ratio given tensile strain due to compressive stress in diagonal BD formula is defined as a measure of the relationship between lateral strain and axial strain in materials subjected to stress. It helps in understanding how materials deform under various loading conditions and is represented as 𝛎 = (εdiagonal*Ebar)/σtp or Poisson's Ratio = (Tensile Strain In Diagonal*Modulus of Elasticity Of Bar)/Permissible Tensile Stress. The Tensile Strain In Diagonal is the measure of deformation experienced by a material when subjected to tensile stress along its diagonal axis, The Modulus of Elasticity Of Bar is a measure of a material's ability to deform elastically when a force is applied, indicating its stiffness and resistance to deformation & The Permissible Tensile Stress is the maximum stress that a material can withstand while being stretched or pulled without failing.
How to calculate Poisson's ratio given tensile strain due to compressive stress in diagonal BD?
Poisson's ratio given tensile strain due to compressive stress in diagonal BD formula is defined as a measure of the relationship between lateral strain and axial strain in materials subjected to stress. It helps in understanding how materials deform under various loading conditions is calculated using Poisson's Ratio = (Tensile Strain In Diagonal*Modulus of Elasticity Of Bar)/Permissible Tensile Stress. To calculate Poisson's ratio given tensile strain due to compressive stress in diagonal BD, you need Tensile Strain In Diagonal diagonal), Modulus of Elasticity Of Bar (Ebar) & Permissible Tensile Stress tp). With our tool, you need to enter the respective value for Tensile Strain In Diagonal, Modulus of Elasticity Of Bar & Permissible Tensile Stress 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 Poisson's Ratio?
In this formula, Poisson's Ratio uses Tensile Strain In Diagonal, Modulus of Elasticity Of Bar & Permissible Tensile Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Poisson's Ratio = (Young's Modulus Bar/(2*Modulus of Rigidity of Bar))-1
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