TECHNICAL PAPERS
Aug 1, 1992

Finite Element Analysis of Thin‐Walled Curved Beams Made of Composites

Publication: Journal of Structural Engineering
Volume 118, Issue 8

Abstract

The equilibrium equation of thin‐walled curved beams of open cross‐sections, based on the principle of virtual work, is presented in variational form. Finite element formulation for static and stability analysis of thin‐walled curved beams of open cross section based on this equilibrium equation is discussed. A straight beam element employing suitable transformations is used to model the curve beams. The geometric stiffness matrix of a thin‐walled curved beam of open cross section has been derived for general loading conditions. Numerical studies have been conducted for in‐ and out‐of‐plane buckling analysis of curved beams made of isotropic and composite sections. The results of the present analysis are compared with the values presented in the literature. Laminated composites of different materials such as glass/epoxy, Kevlar/epoxy, boron/epoxy, and graphite/epoxy with single‐layer 0° composites, two‐layer 45°/−45° composites, and three‐layer 0°/45°/0° composites are considered for static and stability analysis.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Appa Rao, T. V. S. R. (1988). “Spatial stability of curved thin walled beams.” J. Struct. Engrg., Madras, India, 14(4), 121–127.
2.
Barsoum, R. S., and Gallagher, R. H. (1970). “Finite element analysis of torsional and torsional‐flexural stability problems.” Int. J. Numer. Methods Engrg., 2(3), 956–972.
3.
Bathe, K. J., and Wilson, E. L. (1976). Numerical methods in finite element analysis. Prentice Hall, Englewood Cliffs, N.J.
4.
Bleich, F. (1962). Buckling strength of metal structures. McGraw Hill, New York, N.Y.
5.
Boresi, A. P., and Lynn, P. P. (1974). Elasticity in engineering mechanics. Prentice Hall, Englewood Cliffs, N.J.
6.
Galambos, T. V. (1968). Structural members and frames. Prentice Hall, Englewood Cliffs, N.J.
7.
Gupta, R. K., Venkatesh, A., and Rao, K. P. (1985). “Finite element analysis of laminated anisotropic thin walled open section beams.” Composite structures, Elsevier Appl. Sci. Publishers, London, England.
8.
Hafner, L., Ramm, E., Sattele, J. N., and Stag Muller, H. (1980). “Nonlinear incremental structural analysis.” NISA 80. Institut fur Baustatik, Univ. of Stuttgart, Stuttgart, West Germany.
9.
Jones, R. M. (1975). Mechanics of composite structures. McGraw‐Hill, New York, N.Y.
10.
Padmanabhan, S. (1984). “Analysis of thin walled curved beams of open cross section,” ME thesis, Bharathiar Univ., Coimbatore, India.
11.
Palani, G. S. (1988). “Finite element analysis of thin walled curved beams of open cross section made of composites,” ME thesis, Bharathiar Univ., Coimbatore, India.
12.
Papenglis, S. P., and Trahair, N. S. (1987). “Flexural torsional buckling of arches.” J. Struct. Engrg., ASCE, 113(4), 889–906.
13.
Rajasekaran, S. (1971). “Finite element analysis of thin walled members of open cross section.” Struct. Engrg. Report No. 34, Univ. of Alberta, Alberta, Canada.
14.
Rajasekaran, S., and Padhmanabhan, M. (1978). “Finite element analysis of thin walled curved beams of open sections.” Proc. 23rd Congress on Applied Mechanics, Regional Engrg. Coll., Warangal, India.
15.
Rajasekaran, S., and Padmanabhan, S. (1989). “Equations of curved beams.” J. Engrg. Mech., ASCE, 115(5), 1094–1111.
16.
Rajasekaran, S., and Ramm, E. (1984). Discussion of “Flexural torsional stability of curved beams,” by Chai Hang Yoo, J. Engrg. Mech., ASCE, 110(1), 144–148.
17.
Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. 2nd Ed., McGraw‐Hill, New York, N.Y.
18.
Usami, T., and Koh, S. Y., (1980). “Large displacement theory of thin walled curved members and its applications to lateral torsional buckling of circular arches.” Int. J. Solids Struct., 16, 71–95.
19.
Vlasov, V. Z. (1961). Thin walled elastic beams. 2nd Ed., Israel Program for Scientific Translation, Jerusalem, Israel.
20.
Yang, Y. B., and Kuo, S. R. (1986). “Static stability of curved thin walled beams.” J. Engrg. Mech., ASCE, 112(8), 821–841.
21.
Yang, Y. B., and Kuo, S. R. (1987). “Effect of curvature on stability of curved beams.” J. Struct. Engrg., ASCE, 113(6), 1185–1202.
22.
Yang, Y. B., Kuo, S. R., and Cherng, Y. O. (1989). “Curved beam elements for nonliner analysis.” J. Engrg. Mech., ASCE, 115(4), 840–855.
23.
Yoo, C. H. (1982). “Flexural‐torsional stability of curved beams.” J. Engrg. Mech., ASCE, 108(6), 1351–1369.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 118Issue 8August 1992
Pages: 2039 - 2061

History

Published online: Aug 1, 1992
Published in print: Aug 1992

Permissions

Request permissions for this article.

Authors

Affiliations

G. S. Palani
Scientist, Struct. Engrg. Res. Ctr., Council of Sci. and Industrial Res. Campus, Taramani, Madras 600 113, India
Sundaramoorthy Rajasekaran
Prof. of Civ. Engrg., Peelamedu Samanaidu Govindasamynaidu Coll. of Tech., Coimbatore 641 004, India

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share