TECHNICAL PAPERS
Jul 1, 1998

Deflections, Vibrations, and Stability of a Pair of Leaning Arches

Publication: Journal of Engineering Mechanics
Volume 124, Issue 7

Abstract

A structure consisting of two arches leaning against each other and attached at their crowns is considered. Such structural units are used in bridges and in frameworks for tents. Their three-dimensional elastic behavior is examined for six types of loads: a concentrated vertical load at the crown, a uniformly distributed vertical load applied over the whole structure or over half of it, a wind load, and uniformly distributed loads acting parallel to the ground and approaching either obliquely or from the side. The arches are semicircular and pinned at the base, and their deflections, vibrations, and stability are investigated for several tilt angles with the use of the finite-element method. Buckling at a bifurcation point occurs for some of the cases involving vertical loads. On the other hand, the two arches may contact each other away from the crown as the load is increased, which reduces the likelihood of instability.

Get full access to this article

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

References

1.
ABAQUS. (1994). Theory manual, Vol. I, Version 5.4. Hibbitt, Karlsson, & Sorensen, Inc., Pawtucket, R.I.
2.
Austin, W. J., and Ross, T. J.(1976). “Elastic buckling of arches under symmetrical loading.”J. Struct. Div., ASCE, 102(5), 1085–1095.
3.
Burroughs, D. K., and Hillman, J.(1994). “Gateway to Columbus.”Civ. Engrg., ASCE, 64(12), 58–61.
4.
Cai, C. S., Macioce, T., and Ghali, M. G. (1995). “Inclined arch bridge versus parallel arch bridge.”Proc., 12th Annu. Int. Bridge Conf. and Exhibition, Engineer's Society of Western Pennsylvania, Pittsburgh, Pa., 81–88.
5.
Hou, A. (1996). “Analysis of the deflections, vibrations, and stability of leaning arches,” MS thesis, Virginia Polytechnic Institute and State University, Blacksburg, Va.
6.
Kang, K. J., Bert, C. W., and Striz, A. G.(1996). “Vibration and buckling analysis of circular arches using DQM.”Computers Struct., 60(1), 49–57.
7.
Kang, Y. J., and Yoo, C. H.(1994). “Thin-walled curved beams. II: Analytical solutions for buckling of arches.”J. Engrg. Mech., ASCE, 120(10), 2102–2125.
8.
Krainski, W. J. (1988). “Investigation of alternative framing arrangements using pressure-stabilized beams for battalion aid station support.”Rep. No. TR-88/071, U.S. Army Natick Research and Development Laboratories, Natick, Mass.
9.
Kronenburg, R. (1996). Portable architecture. Architectural Press, Oxford, England.
10.
Pi, Y.-L., Papangelis, J. P., and Trahair, N. S.(1995). “Prebuckling deformations and flexural-torsional buckling of arches.”J. Struct. Engrg., ASCE, 121(9), 1313–1322.
11.
Pi, Y.-L., and Trahair, N. S. (1996). “Three-dimensional nonlinear analysis of elastic arches.”Engrg. Struct. 18(1), 49–63.
12.
Steeves, E. C. (1979). “Fabrication and testing of pressurized rib tents.”Rep. No. TR-79/008, U.S. Army Natick Research and Development Laboratories, Natick, Mass.
13.
Tokarz, F. J.(1971). “Experimental study of lateral buckling of arches.”J. Struct. Div., ASCE, 97(2), 545–559.
14.
Trahair, N. S. (1993). Flexural-torsional buckling of structures. CRC Press, Inc., Boca Raton, Fla.
15.
Wen, R. K., and Suhendro, B.(1991). “Nonlinear curved-beam element for arch structures.”J. Struct. Engrg., ASCE, 117(11), 3496–3515.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 124Issue 7July 1998
Pages: 748 - 753

History

Published online: Jul 1, 1998
Published in print: Jul 1998

Permissions

Request permissions for this article.

Authors

Affiliations

Raymond H. Plaut, Member, ASCE,
D. H. Pletta Prof. of Engrg., Charles E. Via Jr. Dept. of Civ. Engrg., Virginia Polytechnic Inst. and State Univ., Blacksburg, VA 24061-0105.
Aili Hou
Grad. Student, Charles E. Via Jr. Dept. of Civ. Engrg., Virginia Polytechnic Inst. and State Univ., Blacksburg, VA.

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