Why is the Bridge Crane Force 2820 N?

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TheePhysicsStudent
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Homework Statement
I was doing statics question from an online textbook, which were all going well till I came to this question where I am unsure what to do
Relevant Equations
M = Fd
Textbook problem 11 about a bridge crane on a 12 m horizontal span fixed to vertical pillars, with parts a and b asking for weight of the span and the force on each pillar when a 380 kN load moves 2.0 m.
The Q
Handwritten free-body diagram of a horizontal beam 12 m long with supports at both ends, a downward load labelled W + 380 at the midpoint, and downward forces of 1600 at each end, with the moment equation 6(W + 380) + 12(1600) and the line W + 2280 + 19200 written below.
My "working"
The answer is simply 2820 N
 
Your diagram is incorrect. We are looking at forces on the beam. These are its own weight and the weight from the load, both of which are downwards. The reaction forces from the pillars at each end are however upwards.
 
Ahhh I am grateful as I see the easily avoidable error I made by simply not using my brain properly and reading the question, thank you!
pasmith said:
Your diagram is incorrect. We are looking at forces on the beam. These are its own weight and the weight from the load, both of which are downwards. The reaction forces from the pillars at each end are however upwards.