The rail in Problem 17.1 wears in service until the top is flat with a width h = 100 mm.
a. For other conditions given in Problem 17.1 remaining constant, determine the values of σmax and τmax.
b. Using the maximum shear-stress criterion of failure, determine the safety factor SF against initiation of yield.
A steel railway car wheel may be considered a cylinder with a radius of 440 mm. The wheel rolls on a steel rail whose top surface may be considered another cylinder with a radius of 330 mm. For the steel wheel and steel rail, E = 200 GPa, v = 0.29, and Y = 880 MPa. If the wheel load is 110 kN, determine σmax, τmax, τoct(max), 2τ0, and the factor of safety against initiation of yielding based on the maximum shear-stress criterion.
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