deflections in deep beams with web openings

huangyhg

deflections in deep beams with web openings
i would be very surprised if you will be able to find a suitable formula of general application.  this is one case where i would go immediately to some suitable fe sofware.
the references given in the cisc handbook of steel construction 7th edition for this topic are:
redwood, r.g. 1974.  the influence of web holes on the design of steel beams.  procedings, canadian structural engineering conference, canadian steel construction council, willodale, ontario.
redwood, r.g. 1971.  simplified plastic analysis for reinforced web holes.  engineering journal, aisc, 8(3): 128-131
redwood, r.g., and shrivastava, s.c. 1980.  design recommendations for steel beams with web holes.  canadian journal of civil engineering, 7(4), december.
redwood, r.g., and wong, p. 1982.  web holes in composite beams with steel deck.  procedings, canadian structural engineering conference, canadian steel construction council, willowdale, ontario.
i have not had the chance to pull these references so i can't tell you if they have the answers to your questions.
if you do get a chance to pull these references, please let us know your findings.
regards.