Maximum Shear Stress and Shear Strain Calculation Fun!

How to calculate the maximum shear stress and shear strain?

Let's have some fun with numbers and angles! If the angle of twist of the bar is 5°, what is the maximum shear stress? What is the maximum shear strain (in radians)?

a) Shear stress: 5°; Shear strain: 5°

b) Shear stress: 5 rad; Shear strain: 5 rad

c) Shear stress: 5 N/m^2; Shear strain: 5 N/m^2

d) Shear stress: 5°; Shear strain: 0.087 radians

Answer

The maximum shear stress can be calculated by dividing the angle of twist of the bar by the length of the bar. The maximum shear strain can be calculated by dividing the angle of twist of the bar by 360° (2π radians).

To calculate the maximum shear stress, you simply need to divide the angle of twist of the bar by the length of the bar. In this case, the maximum shear stress would be 5°/Lo.

Shear strain, on the other hand, is measured in radians. To find the maximum shear strain, divide the angle of twist of the bar by 360° (which equals to 2π radians). Therefore, the maximum shear strain would be 5°/360°, which is approximately 0.087 radians.