end plate with hole how to size

huangyhg

end plate with hole? how to size?
here is a crazy plate design i am trying to work out.
i have a square (10"x10") end/cap plate with a 2"dia hole at the center.  the plate will be welded on 4 sides to a steel "box". through the hole is a bolt with a washer/nut on the back-side.  this bolt will be tensioned so that the 10x10 plate will want to bow outward.
how do i go about sizing this plate, and getting reactions at the perimeter for sizing the welds?
look in roark's book formulas for stress and strain.  i'm pretty sure they have formulas for the situation you're describing.
i agreewith nutte - roark is real handy.  you could also check out some of timoshenko's works.
mike mccann
mccann engineering
ok, i got a rourke book and will look through it. i've only ever used it for walls of concrete pits, or storage sheds.
another option is to model the plate on, say, risa-3d, and analyze for the point load.
daveatkins
good idea dave.  i would model it with the hole and with a ring load of the bearing width of the washer at the edge of the hole.  should be interesting.
mike mccann
mccann engineering
well, i'm not finding anything in rourke yet. i guess i might need to model it.
this is a pretty easy problem using yield line theory.  that's what i'd do for sure.
i doubt roark has a square plate with round hole.  you could treat it as a round plate with round hole and that would likely be close enough.  summing moments about a centerline will get you the average bending moment in it- perhaps that's the yield line theory.
i am not very savvy with finite element modeling but this seems like it would be a good application.
"summing moments about a centerline will get you the average bending moment in it- perhaps that's the yield line theory."
nope, not quite.  most good concrete design books have a section on yield line theory.  this one should take about 15 min. max to figure out the load to cause the collapse mechanism.