HW #$07-2$

The structure has two brass members $(AB)$ connected to rigid supports at A and rigid

beam BC$.$ An additional aluminum member $($CD$)$ is connect to rigid beam BC $.$ A gap of

$0\mathrm{.}75$ mm is present between end D and a rigid support. Determine the internal axial

forces in the brass and aluminum members if the temperature increases by $30$ degrees

C$.$

$E_{\text{b}\text{r}\text{a}\text{s}\text{s}}=101$GPa

$E_{\text{a}\text{l}\text{u}\text{m}\text{i}\text{n}\text{u}\text{m}}=73\mathrm{.}1$GPa

${}_{\text{b}\text{r}\text{a}\text{s}\text{s}}=18\frac{{10}^{-6}}{d}$egC

${}_{\text{a}\text{l}\text{u}\text{m}\text{i}\text{n}\text{u}\text{m}}=23\frac{{10}^{-6}}{}C$

Diam ${?}_{(}()()bras{s}_m$embers $)=80mm$

Diam ${?}_{(}()()alu{m}_m$ember $)=100mm$

$L=1m$

Ans:

$P_{Al}=176kN$

$P_{Br}=88\mathrm{.}0kN$

$($Prob$.3\mathrm{.}3-$HW$2)$