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 - 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 Strain In Diagonal - The Tensile Strain In Diagonal BD of block ABCD.
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.
Permissible Tensile Stress - (Measured in Pascal) - Permissible Tensile Stress is a stress that ensures that the stresses developed in a structure due to service loads do not exceed the elastic limit.
STEP 1: Convert Input(s) to Base Unit
Tensile Strain In Diagonal: 3 --> No Conversion Required
Modulus of Elasticity Of Bar: 11 Megapascal --> 11000000 Pascal (Check conversion here)
Permissible Tensile Stress: 75 Megapascal --> 75000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛎 = (εdiagonal*Ebar)/σtp --> (3*11000000)/75000000
Evaluating ... ...
𝛎 = 0.44
STEP 3: Convert Result to Output's Unit
0.44 --> No Conversion Required
FINAL ANSWER
0.44 <-- Poisson's Ratio
(Calculation completed in 00.004 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)

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

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, The Poisson's ratio given tensile strain due to compressive stress in diagonal BD formula is defined as the equation used to determine Poisson's ratio with the help of known values of tensile strain, modulus of elasticity, and tensile stress. 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 -> 0.44 = (3*11000000)/75000000.

FAQ

What is Poisson's ratio given tensile strain due to compressive stress in diagonal BD?
The Poisson's ratio given tensile strain due to compressive stress in diagonal BD formula is defined as the equation used to determine Poisson's ratio with the help of known values of tensile strain, modulus of elasticity, and tensile stress 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 BD of block ABCD, Modulus of Elasticity Of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it & Permissible Tensile Stress is a stress that ensures that the stresses developed in a structure due to service loads do not exceed the elastic limit.
How to calculate Poisson's ratio given tensile strain due to compressive stress in diagonal BD?
The Poisson's ratio given tensile strain due to compressive stress in diagonal BD formula is defined as the equation used to determine Poisson's ratio with the help of known values of tensile strain, modulus of elasticity, and tensile stress 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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