When builders were constructing a sidewalk they forgot to include an expansion joint between two of the segments, L $=1\mathrm{.}6$ m at To $=20$ C$.$ Assume the opposite ends of each segment are fixed and the linear expansion coefficient is $=11\mathrm{.}810-6$C$-1.$

mheine@terpmail.umd.edu$2$M$68-$EE$-$CA$-42-$A$665-36357$

$-$ Part $($a$)$

As the day heats to Tb the segments press against each other and begin to raise the junction a distance h forming a triangle. What is the height $($in meters$)$ at Tb$=110$ F$?$

h $=0\mathrm{.}037500\mathrm{.}03750$mm$$Correct$!$

$$ Part $($b$)$

What should the gap have been, in units of meters, to prevent them from touching?