Question $4(30\%)$

For the $2$D truss of the figure:

Identify all the zero$-$force members.

Find the support reactions.

Draw the Free Body Diagram.

Determine the force of each member $($stating if the member is in tension or compression$).$

Forces at C: $36kN$ horizontal, $48kN$ vertical. Force at E: $72kN$ vertical. Force at D: $36kN$ vertical. You can use the method of joints or the method of sections.

Use the following table to write the force and the state of each member in the end:

$\backslash$table$[[$Member$,\backslash$table$[[$Zero Force?$],[($Yes or leave empty$)]],\backslash$table$[[$Force$],[($kN$)]],\backslash$table$[[$Tension $($T$)],[$or Compression $($C$)]]],[($AB$)-$ bottom,,,$],[($BC$)-$ bottom,,,$],[($CD$)-$ bottom,,,$],[($DE$)-$ bottom,,,$],[($FG$)-$ top,,,$],[($GH$)-$ top,,,$],[($HI$)-$ top,,,$],[($BF$)-$ vertical,,,$],[($CG$)-$ vertical,,,$],[($DH$)-$ vertical,,,$],[($EI$)-$ vertical,,,$],[($AF$)-$ diagonal,,,$],[($BG$)-$ diagonal,,,$],[($DG$)-$ diagonal,,,$],[($EH$)-$ diagonal,,,$]]$