The total floor load $($from $D+L$ combo$)$ is $35$ psf for the simply supported beam shown. The tributary

width of the beam is $2ft$ and the length is $7ft.$ Assume Douglas Fir$-$Larch No$.2$ is used. What is the

optimal $($smallest$)2x$ section to use for this beam? $($Consider only bending criteria in your

design$).$ See the information below to aid you in the design. A section properties table $($tabulated

values for each shape can be found at the end of the assignment$).$

Use the following equation to calculate the adjusted design value for the bending stress capacity:

$F_b^{\text{'}}=C_D{C}_m{C}_t{F}_b$

Use the table below to select your $Cd$ value:

Use the following table to select the $Fb$ value based on the material grade.

Repeat problem $1$ with $L=14ft.$