Topic: Component misfit induced structural deformation

Figure $4$: A rigid beam is supported by two elastic rods; rod $2$ is too long and must be shortened by amou to fit in the assembly. This causes stress in both rods to be determined.

$4.$

A rigid beam $AD$ is pin supported at point $D$ and by two rods, $(1)$ and $(2),$ located shown in Fig. $4.$ The relationships among the key quantities are shown in the figure. Rod $($ however, is initially too long thus creating an overextention of $$ as indicated. Hence rod must be shortened by some means to "fit" in place.

What is needed:

Compute the forces in both rods and the deflection of point A under load $P.$ Phrase yc solution in terms of compliances and$/$or stiffness coefficients such as $k=A\frac{E}{L}$ etc., appl