$1\mathrm{.}7$ Supplementary Examples $45$

Example $1\mathrm{.}20$ Fig. $1\mathrm{.}29$ shows

E$1\mathrm{.}20$

a freight elevator. The cable

$($length $l,$ axial rigidity $(EA{)}_1)$

of the winch passes over a

smooth pin $K.$ A crate $($weight

$W$ is suspended at the end of

the cable $($see Example $2\mathrm{.}13$ in

Volume $1).$ The axial rigidity

$(EA{)}_2$ of the two bars $1$ and $2$

is given.

Fig. $1\mathrm{.}2$

Determine the displacements of pin $K$ and of the end of the

cable $($point $H$ due to the weight of the crate.