An analytic solution for the elastic response of anisotropic composite beams of rectangular cross section is presented. The formulation is based on the expression of the stress tensor components as trigonometric series and exponential functions. The ability to predict the elastic response and the corresponding elastic coupling mechanisms is well demonstrated and discussed.

1.
Lekhnitskii, S. G., 1981, Theory of Elasticity of an Anisotropic Elastic Body, Mir Publishers, Moscow.
2.
Rand, O., and Rovenski, V., 2000, “A Closed Form Solution for Laminated Composite Beams,” Proceedings of the American Helicopter Society 56th Annual Forum, Virginia, May, No. 00015.
3.
Savoia
,
M.
, and
Reddy
,
J. N.
,
1992
, “
A Variational Approach to Three-Dimensional Elasticity Solutions of Laminated Composite Beams
,”
J. Appl. Mech.
,
59
, pp.
S166–S175
S166–S175
.
4.
Whitney
,
J. M.
,
1985
, “
Elasticity Analysis of Orthotropic Beams Under Concentrated Loads
,”
Compos. Sci. Technol.
,
22
, pp.
167
184
.
5.
Makeev
,
A.
, and
Armanios
,
E. A.
,
1999
, “
A Simple Elasticity Solution for Predicting Interlaminar Stresses in Laminated Composites
,”
J. Am. Helicopter Soc.
,
44
, No.
2
, pp.
94
100
.
6.
Rovenski, V., and Rand, O., 2000, “Analysis of Laminated Composite Beams—An Analytic Approach,” Proceedings of the 40th Israel Annual Conference on Aerospace Sciences, Tel-Aviv, Feb., pp. 467–478.
7.
Rand
,
O.
,
1994
, “
Nonlinear Analysis of Orthotropic Beams of Solid Cross-Sections
,”
Composite Structures
,
29
, pp.
27
45
.
8.
Rand
,
O.
,
1998
, “
Fundamental Closed-Form Solutions for Solid and Thin-Walled Composite Beams Including a Complete Out-of-Plane Warping Model
,”
Int. J. Solids Struct.
,
35
, No.
21
, pp.
2775
2793
.
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