$(2)$ Truss Analysis by Hand using Method of Joints$--$Checking with SkyCiv $(10$ pts$)$ Consider the truss structure shown in Figure $3.$

$($a$)$ Determine the force in each of the members of the truss in terms of $P$ and state whether each member is in tension or compression, using the Method of Joints. $($present your answers in Table $2)$

$($b$)$ If the magnitude of $P$ is $400N,$ determine the values of the forces in the truss members. $($add to Table $2)$

$($c$)$ Check your answer with SkyCiv, including a plot of your SkyCiv Model and a table of member forces.

$($d$)$ If the maximum tension in any member is to be limited to $1000N,$ and the maximum compression to $500N,$ what is the largest allowable magnitude of the force $P?$

Figure $3$

Table $2$

$\backslash$table$[[$Member$,\backslash$table$[[$Force in$],[$member$],[($in terms of P$)]],\backslash$table$[[$Compression $($C$,-),],[$Tension $($T$,+),$ or$],[$zero$-$force member?$]],\backslash$table$[[$Force in$],[$member$],[($with$],[P=400N)]],\backslash$table$[[$Skyciv$],[$Numbers$]]],[AB,,,,],[AC,,,,],[BC,,,,],[CD,,,,],[BD,,,,]]$