Abstract
Navier's classical solution for the problem of a statically loaded, rectangular plate which is simply-supported on all edges is generalized so as to provide a solution for the problem when transverse shear deformations are taken into account. Such solutions are provided for both Mindlin's plate theory and a new plate theory, recently published, which allows for warping of transverse sections of the plate. The results of the analyses are simple expressions for the Fourier coefficients in the expansions representing the transverse deflection and rotations of normals to the plate midsurface. Although both theories predict the same transverse deflection, the rotations and inplane stresses are different for the two theories. Some observations and comments concerning the effects of transverse shears on the deflections of plates and inplane stresses are made.
Original language | English (US) |
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Pages (from-to) | 199-205 |
Number of pages | 7 |
Journal | International Journal of Mechanical Sciences |
Volume | 25 |
Issue number | 3 |
DOIs | |
State | Published - 1983 |
Externally published | Yes |
ASJC Scopus subject areas
- Civil and Structural Engineering
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering