Problem $4$:

The beam in Figure $2$ has continuous lateral support along both flanges. The uniform load

is a service load consisting of $50\%$ dead load and $50\%$ live load. The dead load includes

the weight of the beam. A$992$ steel is used.

Determine the WORST$-$CASE reactions and draw the shear and moment diagrams.

Locate and label the points of maximum shear and moment. $($Hint: review the

concept of pattern loading$)$

Select the lightest W$12$ beam that can handle the load. A table of section properties

is attached.