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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Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.