Determine the distributed load that can be carried by a w $2476$ beam over a simply supported span of $46ft$ with lateral supports every $11$ feet $6$ inches. The beam has also four concentrated loads at the stated points of lateral supports as shown below and Grade $36$ steel is used.

Calculate the values of both the elastic allu ne plastic section modulus $(S$ and $Z),$ as well as the shape factor about the $x-$axis for the figure shown below.

Determine the Euler stress and the critical load for the pinconnected column as shown below with a legth of $30ft.E=29,000$ksi.

Select the lighest $w$ section for a column supporting a $300-$kip load, fixed at the bottom and pinned at the top. $L_x=L_y=17ft6in.$