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
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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))))
S<sub>yt=sqrt(0.5*((((c <sub>1</sub>-σ<sub>2</sub>)^2)+((σ<sub>2</sub>-σ<sub>3</sub>)^2)+((σ<sub>3</sub>-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 Syt 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 2), Principal stress 3 3) 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 Syt=sqrt(0.5*((((c 12)^2)+((σ23)^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 2), Principal stress 3 3) 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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