Forces on a beam, replace with force and couple

[bnosam]

The magnitudes of the forces look OK, but the OP isn't looking for the reactions at point A, just the equivalent force and moment.

BTW, where is your moment calculation for point A?

You mean the sum of all the moments about A?
moment about A: 26997.2 lb*ft

 

[SteamKing]

Moments about point A: (anticlockwise positive)
MOB = (2500)(4) = 10000 lb*ft

Is this moment CCW about point A?

MOC = Vertical + Horizontal Components
MOC = 3969.86 + 5(400) lb*ft after squaring and adding then square rooting, magnitude is 4445.20 lb*ft

We just had to straighten out the components of the force applied at C. Is this calculation for the moment due to the force at C correct?

BTW: Unlike adding two force vectors together, if you want to find the net moment acting about a point, you just add the magnitudes of the moments together algebraically.

MOE = 12552 lb*ft

Is this moment CCW about point A?

Result of adding moments: 26997.2 lb*ft

Net moment still subject to verification. See comments above.