Problem Statement

You are designing a support beam for a warehouse storage system. The beam has a rectangular crosssection with dimensions of $50$ mm by $100$ mm and will be subjected to a distributed load that is uniformly increasing and has a maximum value of $\backslash (3\backslash$mathrm$\{$~N$\}-\backslash$mathrm$\{$m$\}\backslash )$ at the position $\backslash (\backslash$mathrm$\{$x$\}=5\backslash$mathrm$\{$~m$\}\backslash )$ as shown below.

Your task is to:

$1)$ Determine the maximum bending stress in the beam when the beam is oriented in:

a$)$ configuration A

b$)$ configuration B $($cross$-$section is rotated $90$ degrees$)$

$2)$ Does configuration $\backslash ($ A $\backslash )$ or $\backslash ($ B $\backslash )$ provide the best design that resists bending?

Configuration A

Configuration B