O. Rand, FUNDAMENTAL CLOSED-FORM SOLUTIONS FOR SOLID AND THIN-WALLED COMPOSITEBEAMS INCLUDING A COMPLETE OUT-OF-PLANE WARPING MODEL, International journal of solids and structures, 35(21), 1998, pp. 2775-2793
A model for predicting the structural behavior of composite beams is p
resented. The model includes a three-dimensional warping distribution
and is designed to handle arbitrary solid cross-sections or general th
in-walled geometries. The formulation enables the derivation of fundam
ental strength-of-materials type closed-form analytic solutions for va
rious basic composite beam configurations and loading modes. These fun
damental solutions explicitly identify the origin of the elastic coupl
ings and supply educating insight into the structural mechanisms in co
mposite beams. In addition, the detailed distributions of the out-of-p
lane warping provided by the present analytic solutions For relatively
simple geometries may be used as the basic shear deformation shape fu
nctions in numerical analyses of more complex configurations. (C) 1998
Elsevier Science Ltd. All rights reserved.