Question

At a point in a bracket, the stress on two mutually perpendicular planes are 100 N/mm² (tensile) and 50 N/mm² (tensile). The shear stress across the planes is 80 N/mm². Find using Mohr stress circle or otherwise calculate:

1. Magnitude and direction of the resultant stress on plane making an angle of 20⁰ with the plane of the first stress.
2. Maximum shear stress and location of its plane.

c. Principal stresses and the location of principal planes

Answer 1

Question is solved below

I have solved question using both methods

for mohr circle take scale 1 MPa = cm

the location of maximum shear stress palne and principal planes are perpendicular to each other