Deflection of loaded disk 1

[dgunther]

I'm looking for a reference with deflection solutions for simple loaded plate and shell elements. I'm trying to estimate the deflection of a disk that is supported at its OD and has an axial uniform load over its surface. Can someone provide some help or advise?

 

[mloew]

dgunther,

I think you want to look at Roark's Formulas for Stress and Strain to start.

http://www.roarksformulas.com/Default.asp

Best regards,

Matthew Ian Loew

Please see FAQ731-376 for tips on how to make the best use of Eng-Tips Fora.

 

[gjb1]

dgunther,

From Machinery's Handbook for the situation you have described. Edge "supported" around circumference and a uniform distributed load over the surface of the plate:

d = 0.221 WxR^2/Et^3
(if the edge is fixed the multiplier changes to 0.0543)

Where -
d = deflection in mm
W = load in N
R = Radius of plate to supported edge mm
E = modulus of elasticity in N/mm
t = thickmess of plate in mm

Hope this helps

gjb

 

[dualspiralsystems]

gjb,

If the disc has an hole in it of radius R0, would the equation be:

d = 0.221 Wx(R1-R0)^2/Et^3

where R1 is the outer diameter, and R0 is the inner diameter?
Also are the units of modulus of elasticity in N/mm2 and not N/mm?

thanks for your help!

 

[unclesyd]

Checkout the following website and get a copy of

"Design of Weldments by Omer Blodgett" and checkout section 7.2

https://ssl.lincolnelectric.com/lincoln/spmount/store.asp?cat=7

 

[dualspiralsystems]

Hi I looked at that book, it didn't have the disk deflection equation.

I was thinking that this might be the deflection correct equation for a disc with a hole in it.

d = 0.221 Wx(R1^2-R0^2)/Et^3
where R1 is the outer diameter, and R0 is the inner hole diameter.

Any input would be appreciated greatly!

 

[unclesyd]

dualspiralsystems,

Look in the reference section at the back of the book there are 18 examples of disks and loadings anlong with some graphs.
It is reference section 7.2

 

[prex]

dgunther and dualspirasystems,
look in the site below under Plates -> Simple bending -> Annular pl. -> Supported-free -> Distr.load , hit Formulas, and you'll get perhaps more than what you are looking for.

prex

http://www.xcalcs.com

Online tools for structural design

See

http://www.xcalcs.com/docs/symbolinfo.htm

if you want to use symbols on these fora