The strength of a beam lies mainly in the web height. Then some in the thickness, with a smaller amount in the flanges. I've seen 18 inch tall I beams (used on a commercial roof) that spanned 40 feet yet only had a 5/16 - 3/8 thick flange. Given the flanges are OK, I'd say an additional 3/16 should be plenty, as you're simply reinforcing what's there. Even with some corrosion that the additional material will make alot of difference.
You say you're doing it in pieces. Unless you're doing that to go between cross members, or other obstructions, you don't want the pieces to tie together with the ends vertical to the frame. The frame rails will flex under a load,and a square cut end won't be that strong because the pieces will want to pull apart as it flexes.
Instead, cut each one at an angle, so the ends of the pieces overlap. This gives a longer, and stronger, connection between the pieces.
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Today's Featured Article - A 1937 John Deere Unstuck - by Gary Hickman. Here is my story of how I got the pistons out of a 1937 JD B that the engine had been stuck for about 14 years: About 12 years ago my Dad gave me one of the tractors I ran as I was growing up on our farm in central Nebraska. The engine on this tractor, a 1937 John Deere "B", had been stuck for 2 years before he gave it to me. This last spring (1999) I hauled the tractor to our 2 acre lot in St. Libory Nebraska where it joined my antique machinery collection, at that time a 1929 Caterpillar T
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