Consider the copper tubes joined in the figure using a "sweated" joint. Use the properties and dimensions given.

$($a$)$ Find the total elongation $($in mm $)$ of segment $2-3-4({}_{2-4})$ for an applied tensile force of $P=1\mathrm{.}3kN.$ Use $E_c=120$GPa. $($Use the deformation sign convention.$)$

$|$differs from the correct answer by more than $10\%.$ Double check your calculations. mm

$($b$)$ If the yield strength in shear of the tin$-$lead solder is ${}_y=30$MPa and the tensile yield strength of the copper is ${}_y=200$MPa, what is the maximum load $P_{\text{m}\text{a}\text{x}}($in kN $)$ that can be applied to the joint if the

desired factor of safety in shear is $F{S}_{}=2\mathrm{.}4$ and in tension is $F{S}_{}=1\mathrm{.}8?$

kN

$($c$)$ Find the value of $L_2($in mm $)$ at which tube and solder capacities are equal.

mm