Problem #$1$: $(20$ points$)$ A rigid bar CDE is subjected to a vertical downward force P$=100$kN

and is supported by a pin at C and by two deformable links A and B that are pinned to CDE at D

and E$,$ respectively, as shown in Figure $1.$ Both links A and B have Young's Modulus E$=70$GPa,

coefficient of thermal expansion $\backslash$alpha $=20\backslash$times $(10^(-6))/(\backslash$deg $)$C$,$ and both are subjected to a temperature decrease

of $25\backslash$deg C$.$ The cross$-$sectional area of linkA is A$\_($A$)=1000$mm$^(2),$ and the cross$-$sectional area of link

B is A$\_($B$)=500$mm$^(2).$

aCDE. Is the problem of finding the unknown loadings on

the bar statically determinate or statically indeterminate? Explain.

bA and B$.$ If the problem is statically indeterminate, as

you carry out the calculation, clearly label the $($four$)$ standard steps needed to determine the

answers. For each link, clearly specify whether the force transmitted is tensile or

compressive.

c$\backslash$delta $\_($A$)$ and $\backslash$delta $\_($B$)$ of bars A and B$,$ respectively. For each, clearly specify

whether the segment is lengthened or shortened. Please show all details and please check your answer, I will give a LIKE!