At a point on the free surface of a stressed body, a normal stress magnitude of S, = 51 MPa (C) and an unknown positive shear stress exist on a horizontal plane. One principal stress at the point is 11 MPa (C). The absolute maximum shear stress at the point has a magnitude of 64 MPa. Determine the unknown stresses on the horizontal and vertical planes and the unknown principal stress at the point. | S, Sy Answers: o, = MPa MPa Try = MPа Op2 =

The stresses shown act at a point on the free surface of a machine component. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 22.6 ksi, Sy = 2.2 ksi, and Sxy = 3.8 ksi. Assume β=33∘β=33∘. Determine the normal stresses σxσx and σyσy and the shear stress τxyτx⁢y at the point.

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2.18. The stress at a point is defined by the components Oxr = 85 MPa, Oyy= 320 MPa, oz= 100 MPa, Ory =-40 MPa, ơ =50 MPa, ơzx=-20 MPa. Find the three principal stresses, sketch the three Mohr's circles and hence determine the magnitude of the maximum shear stress. yz