Which steel beam do I need?

[Lindhult]

Hello,

I'm having sizing problems again.

What steel beam do I need if I want a beam that supports my floor on the second floor of the garage and that I also want to use for occasionally hanging a small trolley with a hoist? I suppose I need to determine how much load I want as a point load on the trolley?
Let's say I want either 500 or 1000 kilograms. It probably depends on how much it affects the sizing of the beam.
I plan to use the upper floor as a loft, but it's nice if the floor in a loft doesn't sag too much.
I've seen that the standard for calculating floor loads is to have 600 N/m2 for dead load and then a live load of 2000 N/m2.
Would this mean that with my little attached sketch, I would get a total load on my steel beam consisting of the following components?
Line load/meter = half the width between load-bearing walls x 2600 N = 3.25 m x 2600 N/m2 = 8450 N/m
PLUS
Point load = Either 5000 N or 10000 N, which in the worst case could be in the middle of the beam.

This is good, but how on earth do I figure out how thick the beam should be for that?

Thanks for your help.
Anders

 

[Lindhult]

Just found out that deflection will be the determining factor.

I will choose a steel beam HEA 280 or 300 depending on availability.

Anders