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Generally speaking, you can double the weight for the bar from what you use in dumbbells. For example, if you can lift 10 lb dumbbells each arm, then you should be able to lift a 20 lb barbell. Bear in mind however, that a barbell has a different centre of gravity, so you may have to go a little lighter to begin with.
I would say you can usually handle at least 10% more than the combined weight of the dumbells on a barbell. This would assume that you are equally proficient in each exercise and doing the same ROM.
The fact that you can handle more weight on the barbell exercises is the main reason I use barbells much more frequently than DB's. Otherwise I would say that DB exercises are superior.