Problem $1(25$ points$)($use method of joints and include FBD to explain each step$)$

The three trusses below have the same horizontal dimension and loading, but differ in their

vertical dimensions $($i$.$e$.$ the height varies from $0\mathrm{.}5$ m to $1$ m $).$

a$)$ Calculate the axial forces that act on members BG$,$BH$,$ and HG $($the blue members$)$ for

each of the three trusses.

b$)$ What conclusions can you draw from part a$?$ What do you think are some advantages and

disadvantages of tall vs$.$ short truss designs? Feel free to include non$-$quantitative factors

in your response.