Solution: A wheel of diameter d and width w carrying a load

Chapter 3, Problem 3-140

(choose chapter or problem)

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 \(\sigma_x\), \(\sigma_y\), \(\sigma_z\), and \(\tau_{\max }\) for the wheel.

Problem

Number

d

w

F

Wheel

Material

Rail

Material

3-140

5 in

2 in

600 lbf

Steel

Steel

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