Shear Yield Strength by Maximum Distortion Energy Theorem Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Yield Strength = 0.577*Tensile Yield Strength
Ssy = 0.577*σy
This formula uses 2 Variables
Variables Used
Shear Yield Strength - (Measured in Pascal) - Shear Yield Strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear.
Tensile Yield Strength - (Measured in Pascal) - Tensile Yield Strength is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.
STEP 1: Convert Input(s) to Base Unit
Tensile Yield Strength: 85 Newton per Square Millimeter --> 85000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ssy = 0.577*σy --> 0.577*85000000
Evaluating ... ...
Ssy = 49045000
STEP 3: Convert Result to Output's Unit
49045000 Pascal -->49.045 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
49.045 Newton per Square Millimeter <-- Shear Yield Strength
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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National Institute Of Technology (NIT), Hamirpur
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13 Distortion Energy Theory Calculators

Distortion Strain Energy
Go Strain Energy for Distortion = ((1+Poisson's Ratio))/(6*Young's Modulus of Specimen)*((First Principal Stress-Second Principal Stress)^2+(Second Principal Stress-Third Principal Stress)^2+(Third Principal Stress-First Principal Stress)^2)
Tensile Yield Strength by Distortion Energy Theorem Considering Factor of Safety
Go Tensile Yield Strength = Factor of Safety*sqrt(1/2*((First Principal Stress-Second Principal Stress)^2+(Second Principal Stress-Third Principal Stress)^2+(Third Principal Stress-First Principal Stress)^2))
Tensile Yield Strength by Distortion Energy Theorem
Go Tensile Yield Strength = sqrt(1/2*((First Principal Stress-Second Principal Stress)^2+(Second Principal Stress-Third Principal Stress)^2+(Third Principal Stress-First Principal Stress)^2))
Tensile Yield Strength for Biaxial Stress by Distortion Energy Theorem Considering Factor of Safety
Go Tensile Yield Strength = Factor of Safety*sqrt(First Principal Stress^2+Second Principal Stress^2-First Principal Stress*Second Principal Stress)
Strain Energy due to Change in Volume given Principal Stresses
Go Strain Energy for Volume Change = ((1-2*Poisson's Ratio))/(6*Young's Modulus of Specimen)*(First Principal Stress+Second Principal Stress+Third Principal Stress)^2
Strain Energy due to Change in Volume with No Distortion
Go Strain Energy for Volume Change = 3/2*((1-2*Poisson's Ratio)*Stress for Volume Change^2)/Young's Modulus of Specimen
Distortion Strain Energy for Yielding
Go Strain Energy for Distortion = ((1+Poisson's Ratio))/(3*Young's Modulus of Specimen)*Tensile Yield Strength^2
Volumetric Strain with No Distortion
Go Strain for Volume Change = ((1-2*Poisson's Ratio)*Stress for Volume Change)/Young's Modulus of Specimen
Stress due to Change in Volume with No Distortion
Go Stress for Volume Change = (First Principal Stress+Second Principal Stress+Third Principal Stress)/3
Total Strain Energy per Unit Volume
Go Total Strain Energy per Unit Volume = Strain Energy for Distortion+Strain Energy for Volume Change
Strain Energy due to Change in Volume given Volumetric Stress
Go Strain Energy for Volume Change = 3/2*Stress for Volume Change*Strain for Volume Change
Shear Yield Strength by Maximum Distortion Energy Theorem
Go Shear Yield Strength = 0.577*Tensile Yield Strength
Shear Yield Strength by Maximum Distortion Energy Theory
Go Shear Yield Strength = 0.577*Tensile Yield Strength

Shear Yield Strength by Maximum Distortion Energy Theorem Formula

Shear Yield Strength = 0.577*Tensile Yield Strength
Ssy = 0.577*σy

What is strain energy?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape. It is usually denoted by U.

How to Calculate Shear Yield Strength by Maximum Distortion Energy Theorem?

Shear Yield Strength by Maximum Distortion Energy Theorem calculator uses Shear Yield Strength = 0.577*Tensile Yield Strength to calculate the Shear Yield Strength, Shear yield strength by maximum distortion energy theorem formula is defined as the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. Shear Yield Strength is denoted by Ssy symbol.

How to calculate Shear Yield Strength by Maximum Distortion Energy Theorem using this online calculator? To use this online calculator for Shear Yield Strength by Maximum Distortion Energy Theorem, enter Tensile Yield Strength y) and hit the calculate button. Here is how the Shear Yield Strength by Maximum Distortion Energy Theorem calculation can be explained with given input values -> 4.9E-5 = 0.577*85000000.

FAQ

What is Shear Yield Strength by Maximum Distortion Energy Theorem?
Shear yield strength by maximum distortion energy theorem formula is defined as the strength of a material or component against the type of yield or structural failure when the material or component fails in shear and is represented as Ssy = 0.577*σy or Shear Yield Strength = 0.577*Tensile Yield Strength. Tensile Yield Strength is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.
How to calculate Shear Yield Strength by Maximum Distortion Energy Theorem?
Shear yield strength by maximum distortion energy theorem formula is defined as the strength of a material or component against the type of yield or structural failure when the material or component fails in shear is calculated using Shear Yield Strength = 0.577*Tensile Yield Strength. To calculate Shear Yield Strength by Maximum Distortion Energy Theorem, you need Tensile Yield Strength y). With our tool, you need to enter the respective value for Tensile Yield Strength 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 Shear Yield Strength?
In this formula, Shear Yield Strength uses Tensile Yield Strength. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Shear Yield Strength = 0.577*Tensile Yield Strength
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