Mohr Circle Problems and Solutions

MOHR'S CIRCLE for Plane Stress EXAMPLES 1.

Determine and show on a sketch: a. b. c.

Principal stresses τmax σn and τn on plane a-a 60 MPa

A

40 MPa

45° 80 MPa

A

2. At a point in a stressed body, the stresses on two perpendicular planes are as shown. Determine a. b.

The stresses on plane a-a. The stresses on horizontal and vertical planes at the point. a σaa

200 MPa

τaa 45° 18°

a

50 MPa

3. Determine the principal stresses, maximum shear stress, maximum in plane shear stress, horizontal and vertical stresses. Use MOHR'S CIRCLE.

15 MPa

40 MPa 60°

50 MPa 45°

40 MPa

4. Determine the principal stresses, maximum shear stress, maximum-in-plane shear stress, horizontal and vertical stresses. Use Mohr’s Circle.

135.36 MPa 45°

15° 15°

43.3 MPa 75 MPa

56.7 MPa