Given

The rigid beam is supported by a pin at A and wires $BD$ and CE$.$ The load $P$ on the beam causes the end $C$ to be displaced $29\mathrm{.}00$ mm downward. The beam and wires have the following dimensions:

$L_{\text{w}\text{i}\text{r}\text{e}}=4\mathrm{.}05m$

$L_1=2\mathrm{.}85m$

$L_2=2\mathrm{.}20m$

$L_3=2\mathrm{.}20m$

Required

Determine the normal strain developed in wire $BD$ in $m\frac{m}{m}m$ to the nearest $100,000$ th$,$ i$.$e$.,$ five $(5)$ decimal places.