Part A $($Do TWO $(2)$ of three $(3)$ questions$)$

A$1.$ A column is made up of two $(2)$ back to back C$310$x$37.$ There is a $25$ mm gap between the sections which is filled at $500$ mm spacings with a spacer plate which is then welded to each of the channels. If the column is to be $6$ m high $($only supported at the top and bottom$)$ what is the maximum factored axial load that can be carried assuming both ends are pinned?

A$2.$ A $2\mathrm{.}5$ m long cantilevered beam $\backslash (\backslash$mathrm$\{$W$\}360\backslash$times $39\backslash )$ is to be moment connected to a W$200$x$71$ column to resist a point load of $20$ kN live load and $30$ kN dead load The W$360$ is lateral restrained only at the column and end of the cantilever.

$($a$)$ Design the connection between the W$360$ and W$200$ assume the column is continuous. The shear connection shall be bolted and the moment component resisted through welding.

$($b$)$ Check the adequacy of the beam to carry the load.

A$3.$ Referring to Figure A$3.$ The truss shown is made up of only two $(2)$ member sizes; specifically one $(1)$ for all tension members and one $(1)$ for all compression members. Using HSS Class C sections $(350$W steel$)$ determine what size member best works for the tension members and which member size works best for the compression.

Part B $($Do TWO $(2)$ of three $(3)$ questions$)$

B$1.$ The Tee section shown in Figure B$1$ is part of an interior one$-$way simply supported system determine the ultimate moment and shear resistance of the section. Assuming the beams are spaced at $2$ m o$.$c$.,$ the span is $5$ m long, and is made of $30$ MPa concrete.