Timoshenko was simpler and the solution I got was very close to what the average of the physical measurements. The problem with the physical measurements is that, in my case, it does not make a perfect "umbrella" but becomes wavy like a boonie hat brim. Very small and not visible by the naked...
Deflection under it's own weight.
I'm thinking I may be able to use this from Roark's:
2. An annular aluminum plate with an outer radius of 20 in and an inner
radius of 5 in is to be loaded with an annular line load of 40 lb=in at a radius of
10 in. Both the inner and outer edges are simply...
I have a 43" dia x 1.5" thick disk sitting on top of an 8" dia shaft. I need to figure out how much the disk is going to flex downwards like an umbrella. Specifically the deflection amount on the OD edge. The only calculations I can find are for rupture disks and discs with the OD supported...
