A beam is submitted to $2$ loads:

$-$ a punctual load: $\backslash (\backslash$mathrm$\{$F$\}1=1,352\backslash$mathrm$\{$lbs$\}\backslash )$ at $3$ ft

$-$ a distributed load: f$2=215$lbs$/$ft between the $2$ supports.

The dimensions of the beam are $\backslash (\backslash$mathrm$\{$l$\}=13\backslash$mathrm$\{$ft$\}\backslash ),$ the normal support is at $\backslash (\backslash$mathrm$\{$b$\}=5\backslash$mathrm$\{$ft$\}\backslash ).$

$1)$ Find the resultant force $\backslash (\backslash$mathrm$\{$Fr$\}\_\{2\}\backslash )$ equivalent of the distributed loaf $\backslash ($ f$\_\{2\}\backslash ).$

$2)$ Find the reaction forces at the $2$ connections. Include the FBD

$3)$ Find the internal loads at $\backslash ($ x$=10\backslash$mathrm$\{$ft$\}\backslash ),$ Normal load, Shearing load, and Bending moment. Include the FBD of one of the sides of the beam.

$4)$ Draw the diagram of the shearing forces. Include all min and max values.

$5)$ Draw the diagram of the moments. Include all min and max values.

In the box below enter the bending Moment in lbs$-$ft as an integer, including the sign following the internal load convention.