Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 480 psi in size. (a) Determine the stresses o, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). y

At a point on the surface of a generator shaft, the stresses are shown on the stress element in the figure. Using Mohr's circle, determine the following: • The stresses acting on an inclined at an angle 0= 45° CCW • The principal stresses • The maximum shear stresses. • Show all results on sketches of properly oriented elements. 0 10 MPa 50 MPa 40 MPa

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 14 MPa in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the stresses On, ot, and the magnitude of Tnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). σ n Answer: (a) ox= Oy= Txy= (b) on= Ot= Int= MPa MPa MPa MPa MPa MPa X

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