A solid aluminum alloy $[E=69$GPa;$=23\mathrm{.}6\frac{{10}^{-6}}{C}]rod(1)$ is attached rigidly to a solid brass ; Part $4$

If there were no temperature change, what would be the magnitude of the horizontal deflection at end $C$ of the compound rod

due to load $P?$

$u_{C,P}=,mm$

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Part $5$

Compute the change in temperature required to produce zero horizontal deflection at end $C$ of the compound rod. Enter a

positive value for a temperature increase, or a negative value for a temperature decrease.

$T=C$

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$\{$:$=18\mathrm{.}7\frac{{10}^{-6}}{C}]$ rod $(2),$ as shown in the figure. The compound rod is subjected to a tensile load of $P=4\mathrm{.}1kN.$ The diameter of

each rod is $11mm.$ The rods lengths are $L_1=539mm$ and $L_2=655mm.$ Compute the change in temperature required to produce

zero horizontal deflection at end $C$ of the compound rod.

Part $1$

What are the internal forces $F_1$ and $F_2$ in rods $(1)$ and $(2),$ respectively? Use the sign convention for internal axial forces discussed

in Section $5\mathrm{.}3.$

$F_1=,kN$

$F_2=,1kN$

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Part $2$

Determine the cross$-$sectional area for the rods.

$A=$

Attempts: unlimited

Part $3$

$If$ there were $no$ temperature change, what would $be$ the elongations ${}_{1,P}$ and ${}_2,Pof$ rods $(1)$ and $(2),$ respectively, due $to$ the load

$P?$

${}_{1,P}=$

${}_{2,P}=$

If there were no temperature change, what would be the elongations ${}_{1,P}$ and ${}_2,p$ of rods $(1)$ and $(2),$ respectively, due to the load

P$?$