Chapter 8: Problem 25
List four measures that may be taken to increase the resistance to fatigue of a metal alloy.
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Chapter 8: Problem 25
List four measures that may be taken to increase the resistance to fatigue of a metal alloy.
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Suppose that the fatigue data for the cast iron in Problem \(8.20\) were taken for bendingrotating tests, and that a rod of this alloy is to be used for an automobile axle that rotates at an average rotational velocity of 750 revolutions per minute. Give maximum lifetimes of continuous driving that are allowable for the following stress levels: (a) \(250 \mathrm{MPa}(36,250\) psi), (b) \(215 \mathrm{MPa}(31,000 \mathrm{psi})\), (c) \(200 \mathrm{MPa}\) \((29,000\) psi). and (d) \(150 \mathrm{MPa}(21,750 \mathrm{psi})\)
A polystyrene component must not fail when a tensile stress of \(1.25 \mathrm{MPa}(180 \mathrm{psi})\) is applied. Determine the maximum allowable surface crack length if the surface energy of polystyrene is \(0.50 \mathrm{~J} / \mathrm{m}^{2}\left(2.86 \times 10^{-3}\right.\) in.-lb \(\left._{\mathrm{t}} / \mathrm{in} .^{2}\right)\). Assume a modulus of elasticity of \(3.0 \mathrm{GPa}\) \(\left(0.435 \times 10^{6} \mathrm{psi}\right)\)
Estimate the theoretical fracture strength of a brittle material if it is known that fracture occurs by the propagation of an elliptically shaped surface crack of length \(0.25 \mathrm{~mm}(0.01\) in.) and having a tip radius of curvature of \(1.2\) \(\times 10^{-3} \mathrm{~mm}\left(4.7 \times 10^{-5} \mathrm{in} .\right)\) when a stress of \(1200 \mathrm{MPa}(174,000 \mathrm{psi})\) is applied.
Give the approximate temperature at which creep deformation becomes an important consideration for each of the following metals: nickel, copper, iron, tungsten, lead, and aluminum,
Steady-state creep rate data are given in the following table for nickel at \(1000^{\circ} \mathrm{C}(1273 \mathrm{~K})\) : $$ \begin{array}{cc} \hline \dot{\epsilon}_{s}\left(\boldsymbol{s}^{-1}\right) & \boldsymbol{\sigma}[\boldsymbol{M P a}(\boldsymbol{p s i})] \\ \hline 10^{-4} & 15(2175) \\ 10^{-6} & 4.5(650) \\ \hline \end{array} $$ If it is known that the activation energy for creep is \(272,000 \mathrm{~J} / \mathrm{mol}\), compute the steady-state creep rate at a temperature of \(850^{\circ} \mathrm{C}\) (1123 K) and a stress level of \(25 \mathrm{MPa}\) (3625 psi).
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