Large Disk Supported in Center - Deflection
Large Disk Supported in Center - Deflection
(OP)
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 and how much deflection there is in the center. It can't be totally uncommon.





RE: Large Disk Supported in Center - Deflection
Regards,
Mike
The problem with sloppy work is that the supply FAR EXCEEDS the demand
RE: Large Disk Supported in Center - Deflection
RE: Large Disk Supported in Center - Deflection
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 supported, and it is required
to determine the maximum deflection and maximum stress as a function of the
plate thickness.
Once my plate starts to deflect it should act similar to a ring simply supported on the inner radius.
RE: Large Disk Supported in Center - Deflection
RE: Large Disk Supported in Center - Deflection
The problem with sloppy work is that the supply FAR EXCEEDS the demand
RE: Large Disk Supported in Center - Deflection
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 supported, and it is required
to determine the maximum deflection and maximum stress as a function of the
plate thickness) should be Table 11.2 case no. 1k.
case no. 2k is for its own weight with "ro" equal to the inner radius
RE: Large Disk Supported in Center - Deflection
another day in paradise, or is paradise one day closer ?
RE: Large Disk Supported in Center - Deflection
In case 2k (as per OP) the load is not annular line load but uniformly distributed (own weight)
RE: Large Disk Supported in Center - Deflection
another day in paradise, or is paradise one day closer ?
RE: Large Disk Supported in Center - Deflection
If you have a copy of Theory of Plates and Shells by Timoshenko, Chapter 3, Symmetrical Bending of Circular Plates, Case 3 on Page 62 might do well for you. That is for a case where a central column of material passes through the plate, but the boundary conditions may approximate your scenario better than the Roark Case above. Timoshenko's case basically assumes there is no deflection in the center where the disk is common to the shaft. That could be pretty close to what you have, depending on the attachment.
Keep em' Flying
//Fight Corrosion!
RE: Large Disk Supported in Center - Deflection
RE: Large Disk Supported in Center - Deflection
RE: Large Disk Supported in Center - Deflection
another day in paradise, or is paradise one day closer ?
RE: Large Disk Supported in Center - Deflection
another day in paradise, or is paradise one day closer ?