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Need "Flitch-plate" design example

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My client does not want to remove and replace an existing 4x16 DF #1 Beam
which will span 18'-6" once the center column is removed. The roof trib on
the member is approximately 12'6". The beam is continuous over this support
(that's being removed) and the member calculates about 22% overstressed in
bending for the 18' span.
He has asked if I could design him a Flitch Plate with 1/4" steel sideplate
and a 1/4" x 3" leg to rest the existing patio framing at one side.
I have not designed one before and am not really sure how to go about it. I
assume it is similar to a composite beam design, yet the plate is only on
one side and is to be lagged to the face of the existing beam.

If anyone has a sample of an analysis that I can follow, I'd appreciate it.

Dennis Wish PE

Dennis S. Wish PE
La Quinta, California

ICQ# 6110557

"The greatest pleasure in life is doing what people say you cannot do."
Walter Bagehot