A machine component slides along a horizontal bar at A and moves in a vertical slot $B.$ FIGURE $1-43$

Example $1-7$: Rigid bar supported by copper alloy wire

The component is represented as a rigid bar $AB($length $L=1\mathrm{.}5m,$ weight $W=4\mathrm{.}5kN)$

with roller supports at A and $B($neglect friction$).$ When not in use, the machine com$-$

ponent is supported by a single wire $($diameter $d=3\mathrm{.}5mm)$ with one end attached at

A and the other end supported at $C($see Fig. $1-43).$ The wire is made of a copper alloy;

the stress$-$strain relationship for the wire is

$()=\frac{124,000}{1+240},00\mathrm{.}03,(in$ MPa $)$

$($a$)$ Plot a stress$-$strain diagram for the material; What is the modulus of elasticity

$E(GPa)?$ What is the $0\mathrm{.}2\%$ offset yield stress $($MPa$)?$

$($b$)$ Find the tensile force $T(kN)$ in the wire.

$($c$)$ Find the normal axial strain $$ and elongation $(mm)$ of the wire.

$($d$)$ Find the permanent set of the wire if all forces are removed.