Question

Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 175 MPa, Sy = 90 MPa, and Sxy = 75 MPa.

Answer 1

Answer:

C = 132.5 MPa

R = 86.20 MPa

Explanation:

Given

σx = 175 MPa

σy = 90 MPa

τxy = 75 MPa

For the given state of stress at a point in a structural member, determine the center C and the radius R of Mohr’s circle.

We apply the following equation for the center C

C = (σx + σy) / 2

C = (175 MPa + 90 MPa) / 2

C = 132.5 MPa

The Radius can be obtained as follows

R = √(((σx - σy) / 2)² + (τxy)²)

R = √(((175 MPa - 90 MPa) / 2)² + (75 MPa)²)

R = 86.20 MPa