Problem $3($Counts as two Problems$)$: The bridge can either be loaded at Pin E or Pin F$.$

a$.$ Using either MoJ or MoS, calculate the tensile $/$ compressive forces in all $9$ members if $P1=3000lb$ and $P2=0lb,($Recommended to first find each tension$/$compression as a function of P $1,$ then solve$)$

b$.$ Using a computational tool, plot the tension$/$compression as a function of P$1$ for all members $($with P$2=0).$

c$.$ Any member will snap if its tension exceeds $6000$ lb $.$ Any member will buckle if it is compressed beyond $4000$ lb $.$ Based on your plot, if Pin F is loaded and Pin E is unloaded, which member will fail first?

d$.$ Repeat this process but now, calculate the tensile $/$ compressive forces in all $9$ members if $P1=0lb$ and $P2=3000lb.($Recommended to first find each tension$/$compression as a function of P $2,$ then solve$)$

e$.$ Using a computational tool, plot the tension$/$compression as a function of P$2$ for all members $($with P$1=0).$

f$.$ If Pin E is loaded and Pin F is unloaded, which member will fail first? Which pin can support a bigger load, Pin E or Pin F$?$