Statically Determinate Truss and Frame

Part $1$: Consider the truss below, assume all members are pin connected and use W$8$x$13$ for member section. The span of truss is $62m$ and the height is $1\mathrm{.}6+0\mathrm{.}6+0\mathrm{.}4=2\mathrm{.}6m.$ The truss is subjected to point loads of $20kN$@ nodes $812.$

Part $1.$a: Use the virtual work method to calculate vertical deflection of node $8,9$ and $10.$

Part $1.$c: Using AISC specitication, calculate how much weight for the truss structure

Part $1.$e: If the maximum allowable deflection is $\frac{1}{1000}$ of total truss span, try your best to select the most economical W$-$section for the truss. $(10\%)$

Note: $10\%$ extra for the team who comes up with best$/$optimal design of the truss.

Descrintion of web, top chord. bottom chord for truss members