Stresses in moderately thick rectangular plates Higdon, Archie
dc.contributor.department Mathematics 2018-08-23T16:38:45.000 2020-06-30T07:24:42Z 2020-06-30T07:24:42Z Wed Jan 01 00:00:00 UTC 1936 1936
dc.description.abstract <p>By the use of recurrence relations the displacements, which satisfy the equilibrium equations, are expressed in terms if U0, V0, U1, V1, W0 and W1;The partial differential equations defining these six functions are obtained for any normal load which can be represented as a polynomial in x,y continuous over the entire plate;These equations are solved for the particular load P1+axa+ byb subject to three different sets of edge conditions: pinned-pinned, pinned-free, pinned-clamped;The results show that the principal part of the vertical displacement of the middle surface is W00, the corresponding thin plate solution. With the one exception noted in the previous chapter, the displacement of the middle surface is given as the thin plate solution plus a correction which is a function of the thin plate solution. Since the results depend upon W00, two thin plate solutions, not hitherto recorded, are given;The partial differential equations for the case of a shearing load are also given;It is shown that this method gives the problems of plane and generalized plane stress very easily.</p>
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dc.identifier archive/
dc.identifier.articleid 13908
dc.identifier.contextkey 6866476
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/12909
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 19:33:15 UTC 2022
dc.subject.disciplines Applied Mechanics
dc.subject.disciplines Mathematics
dc.subject.keywords Elastic plates and shells
dc.subject.keywords Strains and stresses
dc.title Stresses in moderately thick rectangular plates
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48 dissertation Doctor of Philosophy
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