TY - JOUR
T1 - The bending of a centrally-loaded Isotropic rectangular plate supported at two opposite edges
JF - Proceedings of the Royal Society of London. Series A
JO - Proc R Soc Lond A Math Phys Sci
SP - 427
LP - 440
M3 - 10.1098/rspa.1928.0061
VL - 118
IS - 780
AU -
Y1 - 1928/04/02
UR - http://rspa.royalsocietypublishing.org/content/118/780/427.abstract
N2 - 1. The plate will be taken to be of uniform isotropic material, the elastic quality of which is specified by its Young’s modulus E and Poisson’s ratio σ, and it will be taken to be of small uniform thickness 2h. The flexural rigidity D of the plate is then given by the formula D = 2/3 Eh3 /(1 - σ2). (1) The initially plane middle surface of the plate will be taken as the plane of rectangular cartesian co-ordinates x, y, and the edges of the plate will be taken to cut this plane in segments of the lines x = ± a, y = ± b, so that the length of the plate is 2a, and the breadth 2b.
ER -