The truss below in three separate cases $($so three separate bridges$),$ has different vertical dimensions where in the first case the truss structure has a uniform height of $0\mathrm{.}5$m$,$ in the second case it has a uniform height of $1$m and the third case has a uniform height of $1\mathrm{.}5$m $($horizontal dimensions and load does not change for all $3$ cases$).$

note: these are three different bridges with different heights but the same width and load

a$)$ Calculate the axial forces that act on members HB$,$ HC and BC for each of the three trusses. $($they are highlighted$)$

Draw a free body diagram with all the reaction forces$/$ moments indicated. Identify zero force members and solve for reactions first.$$

b$)$ Based on the answers above what do you think are some advantages of a tall truss and a short truss structure.$$