For the floor plan analyzed in the previous homework assignment, choose from below the lightest $W$ sections for floor beam $B1$ and girder $G1,$ respectively. Ensure that the midspan deflections in both members is less than $\frac{l}{240}$ where $l$ is span of the beam or the girder.

$($a$)$ W$12$x$19$: $A=5\mathrm{.}57i{n}^2,I=130i{n}^4$

$($b$)$ W$12$x$22$: $A=6\mathrm{.}48i{n}^2,I=156i{n}^4$

$($c$)$ W$14$x$34$: $A=10\mathrm{.}0i{n}^2,I=340i{n}^4$

$($d$)$ W$14$x$90$: $A=26\mathrm{.}5i{n}^2,I=999i{n}^4$

Assume $E=29,000$ksi $($i$.$e$.,$ steel$).$ The $/$ values reported are about the strong axis already.

Requirements:

Show all steps to justify your selection.

For Beam B$1,$ use elastic curve in Appendix D$.$

For Girder G$1,$ use virtual work equation with integration table or visual integration.