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
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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