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Bending of a thin semi‐circular plate elastically restrained along the circular edge and clamped along the diameter
Author(s) -
Bassali W. A.,
Mahmood S. S.
Publication year - 1973
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300003600
Subject(s) - mathematics , geometry , enhanced data rates for gsm evolution , isotropy , bending of plates , boundary value problem , boundary (topology) , rotation (mathematics) , bending , mathematical analysis , physics , structural engineering , optics , engineering , telecommunications
Summary This paper is concerned with the determination of the small deflexions and stresses in a thin isotropic homogeneous semi‐circular plate subject to hydrostatic pressure distributed over the entire plate. The semi‐circular plate is clamped along the bounding diameter and elastically restrained, against rotation along the circular edge, according to a general boundary condition including the simply supported and rigidly clamped boundaries as particular cases. The boundary conditions around the circular edge and the condition of zero deflexion on the straight edge are exactly satisfied while the remaining condition of zero slope on the bounding diameter is approximately satisfied. Calculations have been carried out corresponding to three cases of boundary constraint; namely, those for which the edge is fully restrained, the edge is simply supported and an intermediate case. Positions and magnitudes of maximum deflexions are determined. Numerical results are presented in tabular and graphical forms.