Questions $($vi$)-($viii$)$

Just then, Batman hears laughter and turns around to see a shadowy figure setting fire to the beam he is standing on$.$

$($vi$)$ If the beam is $6\mathrm{.}096$ meters long, has a coefficient of thermal expansion of $12\mathrm{.}2\frac{{10}^{-6}}{}C,$ a cross sectional area of $10,000m{m}^2,$ and a uniform temperature increase of $200C,$ the resulting length of the beam is most nearly $...$

$($u$)0\mathrm{.}1487$ m

$($w$)6\mathrm{.}1109$ m

$($v$)6\mathrm{.}0811$ m

$($x$)6\mathrm{.}2447$ m

$($vii$)$ For the simply supported beam Batman is standing on$,$ which of the following statements is true?

$($a$)$ The temperature increase will cause axial elongation leading to axial tensile stress.

$($b$)$ The temperature increase will cause axial shortening, leading to axial compressive stress.

$($c$)$ The temperature increase will not cause significant axial stresses.

$($d$)$ The temperature increase will cause the steel to melt $($liquefy$).$

$($viii$)$ While Batman works out how to avoid the flames, the shadowy figure begins to drill a small circular hole into the bottom flange of the beam within inches of support A$.$ Which of the following statements is true?

$($e$)$ Drilling the hole will lead to a stress concentration, which will definitely cause failure of the bottom $($tension$)$ flange.

$($f$)$ Drilling the hole will lead to a stress concentration, but since the bending moment is close to $0$ at support A$,$ it probably will not have a major effect on the bottom $($tension$)$ flange.

$($g$)$ Since the bottom flange is in compression as shown, a stress concentration will not form.

$($h$)$ Drilling a hole at the neutral axis of the beam would be worse than in the flanges for this beam in bending.