Yield strength from distortion energy theorem Calculator

Category	Physics ↺

✖Principal Axis 1 is the main axis of a member which are perpendicular and intersect each other at the center of area or “centroid”.ⓘ Principal Axis 1 [c ₁]			+10% -10%
✖The Principal stress 2: Second principal stressⓘ Principal stress 2 [σ₂]			+10% -10%
✖The Principal stress 3 value: Thrid Principal stressⓘ Principal stress 3 [σ₃]			+10% -10%
✖The First principal stress valueⓘ First principal stress [σ]			+10% -10%

✖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.ⓘ Yield strength from distortion energy theorem [S_yt]

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Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 200+ more calculators!

Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 300+ more calculators!

< 6 Other formulas that you can solve using the same Inputs

Strain Energy corresponding to distortion with no change in volume

Distortion without volume change strain energy=((1+Poisson's ratio)*(((Principal Axis 1-Principal stress 2)^2)+((Principal stress 2-Principal stress 3)^2)+((Principal stress 3-First principal stress)^2)))/(6*Young's Modulus) GO

Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged

Maximum Bearing Pressure=(Axial Load/Area of Footing)*(1+(Loading Eccentricity 1*Principal Axis 1/(Radius of Gyration 1^2))+(Loading Eccentricity 2*Principal Axis 2/(Radius of Gyration 2^2))) GO

Yield strength from distortion energy theorem considering factor of safety

Tensile Yield Strength=(sqrt(0.5*((((Principal Axis 1-Principal stress 2)^2)+((Principal stress 2-Principal stress 3)^2)+((Principal stress 3-First principal stress)^2)))))/Factor of safety GO

Stain energy of change in volume with no distortion in terms of principal stresses

Volume change without distortion strain energy =(1-(2*Poisson's ratio))*((First principal stress+Principal stress 2+Principal stress 3)^2)/(6*Young's Modulus) GO

Yield strength from distortion energy theorem considering factor of safety for biaxial stresses

Tensile Yield Strength=(sqrt((First principal stress^2)+(Principal stress 2^2)-(First principal stress*Principal stress 2)))/Factor of safety GO

Stress corresponding to change of volume with no distortion

Stress for volume change=(First principal stress+Principal stress 2+Principal stress 3)/3 GO

< 7 Other formulas that calculate the same Output

Yield strength from distortion energy theorem considering factor of safety

Tensile Yield Strength=(sqrt(0.5*((((Principal Axis 1-Principal stress 2)^2)+((Principal stress 2-Principal stress 3)^2)+((Principal stress 3-First principal stress)^2)))))/Factor of safety GO

Yield strength from distortion energy theorem considering factor of safety for biaxial stresses

Tensile Yield Strength=(sqrt((First principal stress^2)+(Principal stress 2^2)-(First principal stress*Principal stress 2)))/Factor of safety GO

Soderberg line tensile yield strength

Tensile Yield Strength=Mean stress of the stress cycle/(1-(Stress Amplitude/Endurance Limit)) GO

Yield Strength in Tension When the strength of the Bolt in Shear is Given

Tensile Yield Strength=(2*Shear strength*Factor of safety)/(pi*Core Diameter*Height of Nut ) GO

Yield Strength in Tension When Strength of Bolt in Tension is Given

Tensile Yield Strength=4*Tensile strength*Factor of safety/(pi*Core Diameter^2) GO

Yield strength for ductile materials

Tensile Yield Strength=Allowable Stress*Factor of safety GO

Relation between tensile yield strength and shear yield strength

Tensile Yield Strength=Shear strength*2 GO

Yield strength from distortion energy theorem Formula

Tensile Yield Strength=sqrt(0.5*((((Principal Axis 1-Principal stress 2)^2)+((Principal stress 2-Principal stress 3)^2)+((Principal stress 3-First principal stress)^2))))
Syt=sqrt(0.5*((((c 1-σ2)^2)+((σ2-σ3)^2)+((σ3-σ)^2))))

More formulas

Total strain energy GO

Strain energy corresponding to change in volume with no distortion GO

Stress corresponding to change of volume with no distortion GO

Strain corresponding to change in volume with no distortion GO

Strain energy corresponding to change in volume with no distortion GO

Stain energy of change in volume with no distortion in terms of principal stresses GO

Strain Energy corresponding to distortion with no change in volume GO

Strain Energy corresponding to distortion with no change in volume in terms of yield strength GO

Yield strength from distortion energy theorem considering factor of safety GO

Yield strength from distortion energy theorem considering factor of safety for biaxial stresses GO

Distortion energy theorem GO

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 Yield strength from distortion energy theorem?

Yield strength from distortion energy theorem calculator uses Tensile Yield Strength=sqrt(0.5*((((Principal Axis 1-Principal stress 2)^2)+((Principal stress 2-Principal stress 3)^2)+((Principal stress 3-First principal stress)^2)))) to calculate the Tensile Yield Strength, The Yield strength from distortion energy theorem formula is defined as the square root of half of the sum of squares of differences of principal stresses. Tensile Yield Strength and is denoted by S_yt symbol.

How to calculate Yield strength from distortion energy theorem using this online calculator? To use this online calculator for Yield strength from distortion energy theorem, enter Principal Axis 1 (c ₁), Principal stress 2 (σ₂), Principal stress 3 (σ₃) and First principal stress (σ) and hit the calculate button. Here is how the Yield strength from distortion energy theorem calculation can be explained with given input values -> 5.656854 = sqrt(0.5*((((2-10)^2)+((10-10)^2)+((10-10)^2)))).

FAQ

What is Yield strength from distortion energy theorem?

The Yield strength from distortion energy theorem formula is defined as the square root of half of the sum of squares of differences of principal stresses and is represented as S_{yt=sqrt(0.5*((((c ₁-σ₂)^2)+((σ₂-σ₃)^2)+((σ₃-σ)^2))))} or Tensile Yield Strength=sqrt(0.5*((((Principal Axis 1-Principal stress 2)^2)+((Principal stress 2-Principal stress 3)^2)+((Principal stress 3-First principal stress)^2)))). Principal Axis 1 is the main axis of a member which are perpendicular and intersect each other at the center of area or “centroid”, The Principal stress 2: Second principal stress, The Principal stress 3 value: Thrid Principal stress and The First principal stress value.

How to calculate Yield strength from distortion energy theorem?

The Yield strength from distortion energy theorem formula is defined as the square root of half of the sum of squares of differences of principal stresses is calculated using Tensile Yield Strength=sqrt(0.5*((((Principal Axis 1-Principal stress 2)^2)+((Principal stress 2-Principal stress 3)^2)+((Principal stress 3-First principal stress)^2)))). To calculate Yield strength from distortion energy theorem, you need Principal Axis 1 (c ₁), Principal stress 2 (σ₂), Principal stress 3 (σ₃) and First principal stress (σ). With our tool, you need to enter the respective value for Principal Axis 1, Principal stress 2, Principal stress 3 and First principal 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 Tensile Yield Strength?

In this formula, Tensile Yield Strength uses Principal Axis 1, Principal stress 2, Principal stress 3 and First principal stress. We can use 7 other way(s) to calculate the same, which is/are as follows -

Tensile Yield Strength=Allowable Stress*Factor of safety
Tensile Yield Strength=Shear strength*2
Tensile Yield Strength=(sqrt(0.5*((((Principal Axis 1-Principal stress 2)^2)+((Principal stress 2-Principal stress 3)^2)+((Principal stress 3-First principal stress)^2)))))/Factor of safety
Tensile Yield Strength=(sqrt((First principal stress^2)+(Principal stress 2^2)-(First principal stress*Principal stress 2)))/Factor of safety
Tensile Yield Strength=Mean stress of the stress cycle/(1-(Stress Amplitude/Endurance Limit))
Tensile Yield Strength=4*Tensile strength*Factor of safety/(pi*Core Diameter^2)
Tensile Yield Strength=(2*Shear strength*Factor of safety)/(pi*Core Diameter*Height of Nut )

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