beam theory or plate theory
beam theory or plate theory
(OP)
I have a plate 5"x5" with a hole in the middle. The plate is simply supported on two sides only. Can I use beam theory to calculate the bending moment as a result of a point load or plate theory?






RE: beam theory or plate theory
RE: beam theory or plate theory
RE: beam theory or plate theory
Intuitively a 5/8" plate for 55 kips load seems to be pushing it....3/8" seems ridiculous!
I am a bit confused with your dimensions (1.5" bearing x 2 + 1.75" span does not quite equal 5")...but close enough!
It seems that if the 55 kip load effectively spans 1.75" and lets say it is fixed at both ends (4 bolt connection may argue it is effectively clamped) then the moments MAY be PL/8 at both negative and positive moments assuming beam theory, or 12,000 lb.in. Lets neglect any stress concentrations and use the mispan section modulus as 5/8 thick plate x 5" less 1.7" slot for a elastic section modulus that equals 0.21 in2. So elastic stress is 12,000/0.21 = 57,000 psi. Does not look good.
Now you did state that a bolt is the means of load application, so it had a hex head and so the load is distributed and not a really point load - you may be able to see what happens with the bolt head bearing. But seems that you need to consider the real situation, including stress concentrations too!
HTH