Shear Strain Energy Calculation With Principal Stresses

Principal stresses are very useful aspects of classical mechanics and they are used in lots of kinds of mechanical and physical calculations. One of these calculations is the shear strain energy stored on bodies. Here we explain how to calculate the shear strain energy stored on bodies with the calculator below, by using the principal stress values. 

Principal stresses on a cubic stress element(Image Source:D. K. Singh – Strength of Materials-Springer, 2020, pg.420).

Shear Strain Energy Calculation With Principal Stresses

First of all, you need to calculate the principal stress values that your body undergoes. After this, you can use the calculator below to calculate the total stored shear strain on your body. 

Shear Strain Energy Calculator Of Triaxial Principal Stresses

The use of the calculator above is very simple. You just need to enter the required values inside the brackets then click on the ‘Calculate!’ button to see the result. If you want to make an another calculation, just click on the ‘Reset’ button. 

The first three values are the principal stress values of your system. Enter the shear modulus of the material. Enter the Poisson’s ratio and the total volume of your body that undergoes to the entered principal stresses. 

You can enter the required values inside the brackets with suggested units in the parentheses.


Calculation of the shear strain energy on bodies with the principal stress values is very simple like above. 

Mechanicalland does not accept any responsibility for calculations made by users in calculators. A good engineer must check calculations again and again.

You can find out much more calculators like this in Mechanicalland! Take a look at the other engineering calculators available in Mechanicalland!

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