$14-69.$ The temperature in an oven is measured by means of a stainless steel wire placed inside it$.$ The wire is attached to the end of a cantilever beam outside the oven. The strain measured by the extensometer attached to the outside of the beam is a measure of temperature. Assuming that the entire length of the wire is heated to the oven temperature, what is the change in oven temperature if the extensometer records a change in strain of $-100$ x $10^-6$ in$/$in$?$ Assume that the wire has sufficient initial tension to function properly. The mechanical properties of the materials are as follows: c $=9\mathrm{.}5$ x $10^-6/$F$,$ I $=12$ x $10^-6/$F$,$ Eac $=30$ x $10^6$ psi, EAI $=10$ x $10^6$ psi, Awires $=5$ x $10^-4$ in$^2,$ Ibeam $=6\mathrm{.}5$ x $10^-4$ in$^4.$ The superelevation of the small beam is $0\mathrm{.}25$ in$.$ Fig. P$14-69$