Problem $3$:

Consider the simply supported beam and its loading in the figure below. The loads shown

are SERVICE loads.

The beam is continuously braced by roof deck on the top flange. A$992$ steel is used. The

live load only exists in the concentrated loads and does not exceed $100$ psf for the system.

Ws is the snow load.

Provide the following:

Determine reactions and draw the shear and moment diagrams. Locate and label

the points of maximum shear and moment for the worst$-$case load combination.

$($Note: you may need to consider a few different load combinations, thus requiring

a few V&M diagrams to find the worst case...$)($Hint: see the load combinations

below$)$

$1\mathrm{.}4D$

or $S$ or $\{$:$R)$

or $S$ or or $0\mathrm{.}5W$

Determine if a W$10$x$39$ is adequate for the loading. Clearly compare the beam's

design flexural capacity $($yielding capacity$)$ and the demand from part $($a$).$