Bending and Extension of Thin-Walled Composite Beams of Open Cross-Sectional Geometry

[+] Author and Article Information
O. Rand

Faculty of Aerospace Engineering, Technion–Israel Institute of Technology, Haifa 32000, Israel

J. Appl. Mech 67(4), 813-818 (Jan 14, 2000) (6 pages) doi:10.1115/1.1327250 History: Received November 11, 1999; Revised January 14, 2000
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.


Hoff,  N. J., “Thin Shells in Aerospace Structures,” Astron. Aeronaut., 19675, pp. 26–45.
Bull, J. W., 1988 “Finite Element Analysis of Thin-Walled Structures,” Elsevier, Amsterdam, The Netherlands.
Vlasov, V. Z., 1961, “Thin-Walled Elastic Beams,” National Science Foundation, U.S. Department of Commerce, Washington, D.C., and the Israel Program for Scientific Translations, Jerusalem (translated from Russian).
Gjelsvik, A., 1981, “The Theory of Thin Walled Bars,” John Wiley and Sons, New York.
Librescu,  L., and Song,  O., 1991, “Behavior of Thin-Walled Beams Made of Advanced Composite Materials and Incorporating Non-Classical Effects,” Appl. Mech. Rev., 44, No. 11/2, pp. s174–180.
Berdichevsky,  V., Armanios,  E., and Badir,  A., 1992, “Theory of Anisotropic Thin-Walled Closed-Cross-Section Beams,” Composites Eng., 2, No.5–7, pp. 411–432.
Bauchau,  O. A., and Chiang,  W., 1993, “Dynamic Analysis of Rotor Flexbeams Based on Nonlinear Anisotropic Shell Models,” J. Am. Helicopter Soc., 38, No. 1, pp. 55–61.
Armanios,  E. A., and Badir,  A. M., 1995, “Free Vibration Analysis of Anisotropic Thin-Walled Closed-Section Beams,” AIAA J., 33 No. 10, pp. 1905–1910.
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.
Rand,  O., 1998, “Similarities Between Solid and Thin-Walled Composite Beams by Analytic Approach,” J. Aircr., 35, No. 4, pp. 604–615.
Ganguli,  R., and Chopra,  I., 1997, “Aeroelastic Tailoring of Composite Couplings and Blade Geometry of a Helicopter Rotor Using Optimization Methods,” J. Am. Helicopter Soc., 42, No. 3, pp. 218–228.
Bauld,  N. R., and Tzeng,  L. S., 1984, “A Vlasov Theory for Fiber-Reinforced Beams With Thin-Walled Open Cross-Sections,” Int. J. Solids Struct., 20, No. 3, pp. 277–297.
Chandra,  R., and Chopra,  I., 1991, “Experimental and Theoretical Analysis of Composite I—Beam with Elastic Couplings,” AIAA J., 29, No. 12, pp. 2197 2206.
Wu,  X. X., and Sun,  C. T., 1992, “Simplified Theory for Composite Thin-Walled Beams,” AIAA J. 30, No. 12, pp. 2945–2951.
Park,  M. S., and Byung,  C. L., 1996, “Prediction of Bending Collapse Behaviors of Thin-Walled Open Section Beams,” Thin-Walled Struct., 25, No. 3, pp. 185–206.
Eisenberger,  M., 1997, “Torsional Vibrations of Open and Variable Cross-Section Bars,” Thin-Walled Struct., 28, No. 3, pp. 269–278.
QuanFeng,  W., 1997, “Lateral Buckling of Thin-Walled Open Members With Shear Lag Using Optimization Techniques,” Int. J. Solids Struct., 34, No. 11, pp. 1343–1352.
Kaiser C., and Francescatti, D., 1996 “Theoretical and Experimental Analysis of Composite Beams With Elastic Couplings,” 20th Congress of the International Council of the Aeronautical Sciences, ICAS-96-5.4.4, Sorrento, Napoli, Italy. Sept. 8–13
Ochoa, O. O., and Reddy, J. N., 1992, “Finite Element Analysis of Composite Laminates,” Kluwer, Dordrecht, The Netherlands.


Grahic Jump Location
A scheme of a thin-walled composite beam of open cross-sectional geometry. (a) The cross-sectional deformation components (the out-of-plane warping, ψ(x,η), is not shown); (b) a generic open cross-sectional geometry; (c), (d) symmetric and antisymmetric layups (with respect to the X–Z plane).
Grahic Jump Location
(a) A scheme of a circular thin-walled cross section; (b) a “half-tube” cross section of nonuniform elastic moduli (“symmetric” layup); (c) an open circular cross section of nonuniform elastic moduli (“symmetric layup); (d) a “half-tube” cross section of uniform elastic moduli (“antisymmetric” layup)
Grahic Jump Location
The induced twist (ϕ,x) due to bending (v,xx) and extension (u,x) as functions of the layup angle for a typical graphite/epoxy orthotropic laminae



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In