Numerical Problem $(20$ points$)$: This problem is a good example to practice visualizing the moment produced by forces at a given point.

The figure shows you a connection between a beam $($horizontal member$)$ and a column $($vertical member$)$ typically used in the design of steel structures $($buildings$,$ bridges, signposts etc$).$ We will study more about the internal forces in the beam and the column later in this course. For now, you are tasked with analyzing the moment, at different points, produced by different forces on the beam using any method learned in class.

Calculate the total moment produced at A from all the forces on the beam in $lb-ft.(10$ points$)$

Calculate the total moment produced at $B$ from all the forces on the beam in $lb-ft.(10$ points$)$