Select the appropriate function for the Bending moment $M(x)$ in the segmentA circular rod is subjected to a point load $P=400kN$ at its midpoint and a

temperature increase $T.$ Before the load and temperature increase are applied,

there is a gap between point $B$ and the rigid wall at $C$ that equals $x=0\mathrm{.}3mm.$ The

rod's cross$-$section area is equal to: $A=0\mathrm{.}02m^2.E=200$GPa and $=2\frac{{10}^{-6}}{}C$

Find the minimum temperature increase required to close the gap. To get full

points you need to justify your answer

a$)T=0C$

b$)T=75C$

c$)T=50C$

d$)T=25C$

e$)$ None of the above

$xBM(x)=-2\mathrm{.}67x^2-10xM(x)=2\mathrm{.}67x^3+10xM(x)=-4x^2-10M(x)=-0\mathrm{.}444x^3-10x0.$ Note that the variable $xis$ measured from point $Bto$ the left.

Circle your answer. $To$ get full points you need $to$ justify your answer, please

include the $FBD$ you need $to$ use $to$ find the answer.

$a$