A bent bar $(ABCD)$ is welded to the wall at $A($fixed connection$)$ and carries the applied

loads shown below. Determine the support reaction loads $($forces and moments$)$ acting

on the bar at end A when it is in static equilibrium. Hints:

I$\text{'}$m including this not to cause you pain, but because we needed to see at least

one $3D$ problem.

Since this is a $3$D problem, you need to consider force and moment balances in

all three directions. For forces, I suggest taking balances along hat$(x),$hat$(y),$hat$(z)$ directions

separately. For moments, I suggest doing the explicit cross product to find the

moment about A from all the forces, which will give you a vectorized expression

with hat$(x),$hat$(y),$ and hat$(z)$ components. You can then do moment balances for each of those

components individually.

In $3$D$,$ a fixed connection will have $3$ reaction forces and $3$ reaction moments.

The simplified form of Varignon's theorem for $2$D will not work here, since it's a

$3$D problem.

The circular $40N*m$ arrow is a couple$-$moment, and needs to be included in your

moment balance at A$.$

$tan(53)=\frac{8}{x}$