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STABILITY OF RECTANGULAR PLATE UNDER EQUAL UNIFORM COMPRESSION ON TWO OPPOSITE EDGES 'b'

STABILITY OF RECTANGULAR PLATE UNDER EQUAL UNIFORM COMPRESSION ON TWO OPPOSITE EDGES 'b'

STABILITY OF RECTANGULAR PLATE UNDER EQUAL UNIFORM COMPRESSION ON TWO OPPOSITE EDGES 'b'

(OP)
Fellow Stress Engineers:

Roark (6th & 7th editions, tables 35 & 15.2 respectively) includes 6 cases covering the above condition, namely:-

a) All edges simply supported
b) All edges clamped
c) Edges b simply supported, edges a clamped
d) Edges b simply supported, one edge a simply supported, other edge a free
e) Edges b simply supported, one edge a clamped, other edge a free
f) Edges b clamped, edges a simply supported

Can anyone direct to formulations for cases similar to d & e, but with edges b clamped?

Thanks in anticipation.

RE: STABILITY OF RECTANGULAR PLATE UNDER EQUAL UNIFORM COMPRESSION ON TWO OPPOSITE EDGES 'b'

maybe in Moody's original research ... google "moody rectangular panels"

another day in paradise, or is paradise one day closer ?

RE: STABILITY OF RECTANGULAR PLATE UNDER EQUAL UNIFORM COMPRESSION ON TWO OPPOSITE EDGES 'b'

BRUHN - Analysis and Design of Flight Vehicle Structures
Chapter C5, Figure C5.2
Your cases would be:
d) E (with dash lines)
e) D (with dash lines)

Dash lines refer to clamped loaded edges (that's also explained on that Bruhn figure).


You will also notice that between the 2 references "equations" and "K values" are slightly different for a sample 4edges simply supported case due to (π2*K/12) calculation. (K=4 in Bruhn, K=3.29 in Roark)

Taking this into account, you may convert all Bruhn constants to Roark constants as well.

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