A wheel of diameter d and width w carrying a load F rolls on a flat rail. Assume that Fig. 3€“39, which is based on a Poisson€™s ratio of 0.3, is applicable to estimate the depth at which the maximum shear stress occurs for these materials. At this critical depth, calculate the Hertzian stresses σx, σy, σz, and Ï„max for thewheel.

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Wheel Material Rail Material 150 mm 40 mm 2 kN Steel Cast iron