Problem $1(30$ points$)$

A rigid beam with two loads acting on its

ends $($as shown in the figure$)$ is supported

by two steel $($Young$\text{'}$s Modulus $=200$GPa $)$

cables AC and BD $.$ The cables have a

circular cross$-$section with diameters $0\mathrm{.}5$ cm

and $1$ cm $,$ respectively. Calculate:

a$)$ The reactions produced by the cables. $(5$

points$)$

b$)$ Average normal stress in the cables.

Clearly indicate tension or compression. $(8$ points$)$

c$)$ Deflection of the cables. Clearly indicate elongation or contraction. $(7$ points$)$

d$)$ Sketch the position of the beam after the loads are applied and calculate the positions of point O and E wit

respect to their original location. Clearly indicate whether the points move up or down. $(10$ points$)$