Scottiesei:
You say the existing WF beam is loaded and designed to its full capacity now, and you want to add more load, so you need to add the channel reinfm’t. What size WF vs. the 12" C, the access issue wrt welding, otherwise the welding position is about the same welding at the heel of the flanges or into web slots, which must be fabed. The slots should be nicely made, not just chopped out, and this will be the contractors expense, otherwise the slots do improve welding access. If you’re doing the design can’t you do more than “suggest” to the contractor, if you feel strongly?
I wouldn’t think the torsional problem would be significant. Isn’t the shear center of the channel on the other side of the WF web? And, you say the top flg. is well braced, 4' o/c. Nonetheless, the member is slightly unsymmetrical. Paddington wasn’t really talking about taking the load off of (removing them from) the existing beam, but rather jacking it up to de-stress it before you apply your channel. Thus the WF & C will truly act in unison wrt the total load. What you seem to be suggesting is a WF already at max. allow. stress; add a channel at zero stress; add the new load; now you have the WF over stressed and the channel, which might well be a lesser grade of steel, under stressed, not what you want. Jack the WF higher, to get compression in its bot. flg., and you will cause the C to work at a higher stress level when the new loads are added.
See design examples for cover plates, they do not terminate at the theoretical cut-off point. The channel must go past the point of need and be fairly well developed before it is needed. Check the new shear in the fully stressed WF, at its bearing points, with the new loads added, is this O.K.? What shear and first moment should you use in your shear flow calcs. to design your welds?
Good Luck