Problem $4$

The structure shown below is a beam to the left of point $B$ and a beam to the right of

point $B.$ Point $B$ on beam $AB$ is not connected to point $B$ on beam $BD.$ Beam $BD$ is

supported by a vertical cable at point $C.$ For both beams, $I=200{10}^{6}m{m}^4$ and $A=$

$2500m{m}^2.$ For the cable, $A=400m{m}^2.$ For all members, $E=200$GPa.

The beam $AB$ is loaded by a $10$ kN concentrated load at its mid$-$span, while the beam $BD$

is loaded by a $10$ kN concentrated load at its mid$-$span.

Determine the relative vertical deflection, in millimeters, between point $B$ on beam $AB$

and point $B$ on beam $BD.$

Clear written solution not typed