Problem $17.$ Equation $17\mathrm{.}9,$ for the thermal shock resistance of a material, is valid for relatively low rates of heat transfer. When the rate is high, then, upon cooling of a body, the maximum temperature change allowable without thermal shock, ATF, is approximately of AT$,=\backslash$Epsilon $\backslash$alpha $,]$ where Of is the fracture strength. Using the data in Tables B$\mathrm{.}2,$ B$\mathrm{.}4,$ and B$\mathrm{.}6($Appendix B$),$ determine ATf for a soda$-$lime glass, borosilicate $($Pyrex$)$ glass, aluminum oxide $(96\%$ pure$),$ and gallium arsenide $[<100>$ direction and $\{100\}$ orientation, as$-$cut surface$].$