$($a$)$ Develop a list of four acceptable shapes that could be used for this beam. Include the most economical W$310,$ W$360,$ W$410,$ and W$460$ shapes on the list of possibilities.

$($b$)$ Select the most economical W shape for this beam.

Answers:

$($a$)$ The most economical W$310$ shape is W$310$x

The most economical W$360$ shape is W$360$x

The most economical W$410$ shape is W$410$x

The most economical W$460$ shape is W$460$x

$$ with $S({10}^3)mm=$ with $S({10}^3)m{m}^3$

$!$ with $S({10}^3)m{m}^3$

$$ with $S!({10}^3)mn($a$)$ Develop a list of four acceptable shapes that could be used for this beam. Include the most economical W$310,$ W$360,$ W$410,$ and W$460$ shapes on the list of possibilities.

$($b$)$ Select the most economical W shape for this beam.

Answers:

$($a$)$ The most economical W$310$ shape is W$310$x

The most economical W$360$ shape is W$360$x

The most economical W$410$ shape is W$410$x

The most economical W$460$ shape is W$460$x

$$ with $S({10}^3)mm=$ with $S({10}^3)m{m}^3$

$!$ with $S({10}^3)m{m}^3$

$$ with $S!({10}^3)mn$