The state of stresses at a point in a given engineering comp

The state of stresses at a point in a given engineering component is that shown in the figure below: there is a direct stress of 20 N/mm2 in the x direction, no direct stress in the y direction and no shear stress in the x-y directions. Which of the following statements is correct?

1.There is no shear stress in any direction.

2.There will be shear stress at different directions ranging from 0 to 20 N/mm2.

3.The maximum shear stress will take place at 450 and will have a value of 10 N/mm2.

4.The direct stress and the shear stress at various angles will always add up to 20 N/mm2.

Solution

1. Correct: There is no shear stress .

the only stress on the body is tensional stress which is different from shear stress.