Problem $1(25$ points$)$

The following truss has five nodes $($A$,$ B$,$ C$,$

$D,$ and $E)$ and seven members. Assume the

dead load $($D$)$ is equal to $15-$kips, the live load

$($L$)$ is equal to $45-$kips, and the wind load $($W$)$

is equal to $22-$kips applied at $P_C.$

For each of the given factored load

combinations, calculate the reactions at $A$&$E$

and forces of truss member $DE.$

a$)1\mathrm{.}4**D$

b$)1\mathrm{.}2**D+1\mathrm{.}6**L$

c$)1\mathrm{.}2**D+1\mathrm{.}0**W+1\mathrm{.}0**L$

Please complete the table below by filling in the forces $($in kips$)$ calculated for each load combination.

Indicate the directions of reactions and positive $(+)$ for tension and negative $(-)$ for compression member.