189
Analysis of plates by spline flnite strip
TABLE 1 Comparisons of Bending Moments at the Centre of a Square Plate (v = 0.3)
Span-to-thickness
Bending moments
Mx TOP 1000 100 Exact
1000 100 Exact Multiplier
MODTOP
TOP
MODTOP
Simply supported 0.1652 0.4816 0.1589 0.4815 0.4708 0.4816 0.4716 0-4815 0-4789 0-4789
0.0340 0.2191
Clamped 0.2331 0.0285 0-2325 0-2332 0.2068 0.2324 0-2291 0.2291 0.1 qa 2
Linear static analysis of shear deformable plates Results o f a n a l y s e s o f m o d e r a t e l y thick i s o t r o p i c plates a n d l a m i n a t e d c o m p o s i t e plates w i t h d i f f e r e n t s p a n - t o - t h i c k n e s s r a t i o are p r e s e n t e d in T a b l e s 2 a n d 3. I n all cases, the p l a t e s are subjected to u n i f o r m l y distribu t e d l o a d s a n d a q u a d r a n t o f e a c h p l a t e is d i v i d e d into 8 strips a n d 4 spline sections. Results given in T a b l e 2 indicate g o o d a g r e e m e n t b e t w e e n
TABLE 2 Results of Bending Moments at the Centres and Twisting Moments at the Corners of Simply Supported Thick Plates
Theory
Deflection (*qa4/D)
Moment (*qa2) Mx
TOP MODTOP Kant 37
0.00490 0.00490 0.00480
TOP MODTOP Kant 37
0.00427 0-00427 0-00424
Twisting moment (*qa2)
My
Span-to-thickness ratio = 5 0-0479 0.0480 0.0480 0.0480 0.0484 0.0485 Span-to-thickness ratio = 10 0-0479 0.0480 0.0480 0.0481 0.0480 0.0480
Mxy 0-0318 0.0329 0.0299 0.0318 0.0325 0.0317
Poisson ratio = 0.3; q = magnitude of uniformly distributed load; D = bending rigidity; a = span length.