Cy. Wang, SIMPLY SUPPORTED ELL-SHAPED AND CROSS-SHAPED PLATES UNDER UNIFORM LATERAL LOAD, International journal of mechanical sciences, 41(1), 1999, pp. 59-69
Using internal matching, the problem of certain uniformly loaded compl
ex symmetrical plates is reduced to solving the biharmonic in a rectan
gular region with mixed boundary conditions. The method is efficient a
nd accurate. The simply-supported L and + shaped plates are studied in
detail. The results show a weak stress singularity at the concave cor
ner and maximum deflections may reach 4 times that of a strip with the
same width. (C) 1998 Published by Elsevier Science Ltd. All rights re
served.