Deflection of a dome from a point load
Deflection of a dome from a point load
(OP)
Has anyone seen a formula for calculating the center deflection of a dome, if you know the dome thickness and material, from a point load towards the dome from the convex side at the center of the dome?





RE: Deflection of a dome from a point load
Mike McCann
MMC Engineering
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RE: Deflection of a dome from a point load
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RE: Deflection of a dome from a point load
An axi-symmetric analysis in a FEA program would give you the answer for a point load at the crown.
For a point load anywhere else you would need to do a full 3D analysis.
Doug Jenkins
Interactive Design Services
http://newtonexcelbach.wordpress.com/
RE: Deflection of a dome from a point load
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RE: Deflection of a dome from a point load
In Roark?
Which Edition?
Mine (Edition 7, 2002) only goes up to Table 17.
Doug Jenkins
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http://newtonexcelbach.wordpress.com/
RE: Deflection of a dome from a point load
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RE: Deflection of a dome from a point load
Found it.
Table 13.3 - 3b Page 611 in Edition 7 (International Edition)
Doug Jenkins
Interactive Design Services
http://newtonexcelbach.wordpress.com/
RE: Deflection of a dome from a point load
RE: Deflection of a dome from a point load
If you're going to be doing stuff like this as a professiona, a copy of Roark's Formulas for Stress and strain is a good addition to your personal collection. Just remember that Roark is not the author (since the 5th ed) - you won't find the book by looking for him as an author.
jt
RE: Deflection of a dome from a point load
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RE: Deflection of a dome from a point load
Unless the dome is very shallow the best table to use would be Case 2 from Table 13 (Seventh Edition), rather than Case 3. The description is "Partial spherical shell, load P concentrated on small circular area of radius r0 at pole; any edge support".
Doug Jenkins
Interactive Design Services
http://newtonexcelbach.wordpress.com/
RE: Deflection of a dome from a point load
RE: Deflection of a dome from a point load
RE: Deflection of a dome from a point load
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RE: Deflection of a dome from a point load
Incidentally the deflection of almost any structure to a point load is infinite.
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Greg Locock
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RE: Deflection of a dome from a point load
Surely undefined, rather than infinite?
In "practice" on Earth the deflection of the structure would be zero, and the deflection of the load would be about 6400 km :)
Doug Jenkins
Interactive Design Services
http://newtonexcelbach.wordpress.com/
RE: Deflection of a dome from a point load
RE: Deflection of a dome from a point load
While Walter/Bullfinch/Meigs et al may have had arguably primitive design knowledge (and built as you will see with cast iron arches), I think these arches have basically supported the dome and superstructure vs all/whatever loads applied since ~1866. [It appears according to ht
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