$6$

Deformable rods $BD$ and $CF$ are attached to a rigid rod ABC as shown.

Rod $BD$ is made of steel $(E_{st}=200$ GPa$)$ and has an uniform $273\mathrm{.}9m{m}^2$ cross section.

Rod CF is made of aluminum $(E_{al}=70$ GPa$)$ and has an uniform $233\mathrm{.}8m{m}^2$ cross section.

If a load $P=11kN$ were applied at $A,$ determine the deflection at $A.$

Forces $($and no moments$)$ are acting $2$ pts$.$ for members $BD$ and $GF,$ and therefore $BD$ and $CF$ are $2F$ members. $2)$FBD of ABC $($remaining structural component$)$ has two unknowns and is therefore can be used

to determine axial forces in member $BD$ and $CF$

FBD $($with $P_{BD}$ and PCF marked $($T$))$

Equilib. Equations

$M_B=011125-PCF225=0PCF=6\mathrm{.}11(kN)(T)$

$F_Y=0P_{BD}=11+PCF=17\mathrm{.}11(kN)(T)$

Deflection at $B$ is given as ${}_B=)$ and deflection at $C$ is given as $6C=$