TECHNICAL PAPERS
Aug 1, 2001

Failure Criterion for RC Members under Biaxial Bending and Axial Load

Publication: Journal of Structural Engineering
Volume 127, Issue 8

Abstract

A new failure surface and criterion are developed for prismatic reinforced concrete structural elements subjected to biaxial bending and axial load. The failure criterion is a smooth surface in 3D space (two moments and axial load). It is governed by eight parameters, four of which are strengths that can be computed directly from strain-based failure criteria. The remaining four are exponential coefficients whose values are calculated using optimization techniques. Since the failure criterion is intended for use in automated design-optimization procedures, methods for parameter estimation based on design of the RC structural element are developed and tested. The parameters of the proposed surface are calculated first by simply minimizing approximation errors and then by allowing only conservative approximation errors. A conclusion of this work is that the proposed methods are reliable and can be used to rapidly check allowable capacity constraints in load space during design optimization of reinforced concrete structures undergoing dynamic loading.

Get full access to this article

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

References

1.
Arora, J. S. ( 1989). Introduction to optimum design, McGraw-Hill, New York.
2.
Arora, J. S., Chahande, A. I., and Paeng, J. K. ( 1991). “Multiplier methods for engineering optimization.” Int. J. Numer. Methods in Engrg., 32, 1485–1525.
3.
Atkinson, K. ( 1993). Elementary numerical analysis, Wiley, New York.
4.
Balling, R. J., and Yao, X. ( 1997). “How to optimize a reinforced concrete frame.” Guide to structural optimization, ASCE, Reston, Va., 123–138.
5.
Balling, R. J., Gallup, S. S., and McGrath, C. S. ( 1997). “How to optimize a reinforced concrete column or beam.” Guide to structural optimization, ASCE, Rep. No. 90, 55–73.
6.
Bresler, B. ( 1960). “Design criteria for reinforced columns under axial load and biaxial bending.” ACI J., 32, 481–490.
7.
Chahande, A. I., and Arora, J. S. ( 1994). “Optimization of large structures subjected to dynamic loads with the multiplier method.” Int. J. Numer. Methods in Engrg., 37, 413–430.
8.
Ferguson, P. M., Breen, J. E., and Jirsa, J. O. ( 1988). Reinforced concrete fundamentals, Wiley, New York.
9.
Fletcher, R. ( 1985). Practical methods of optimization, Wiley, New York.
10.
Gill, P. E., Murray, W., and Wright, M. H. ( 1981). Practical optimization, Academic, San Diego.
11.
Goldenberg, P., Silva, M. A., Pimenta, P. M, and Brasil, R. M. L. R. F. ( 1997). “Augmented Lagrangian optimization of a portal frame with elastoplastic behavior under dynamic loading.” 5th Pan-Am. Congr. on Appl. Mech., 373–376.
12.
Hulse, R., and Mosley, W. H. ( 1986). Reinforced concrete design by computer, Macmillan Education Ltd., New York.
13.
Hsu, C.-T.T. ( 1986). “Reinforced concrete members subject to combined biaxial bending and tension.” ACI J., 83(1), 137–144.
14.
Leet, K. ( 1991). Reinforced concrete design, McGraw-Hill, New York.
15.
Luenberger, D. G. ( 1984). Linear and nonlinear programming, Addison-Wesley, Reading, Mass.
16.
McCormac, J. C. ( 1988). Design of reinforced concrete, Addison Wesley Longman, New York.
17.
McGregor, J. G. ( 1992). Reinforced concrete, mechanics and design, Prentice-Hall, Englewood Cliffs, N.J.
18.
Muñoz, P. R., and Hsu, T.-C.C. (1997). “Behavior of biaxially loaded concrete-encased composite columns.”J. Struct. Engrg., ASCE, 123(9), 1163–1171.
19.
Nawy, E. G. ( 1990). Reinforced concrete: A fundamental approach, Prentice-Hall, Englewood Cliffs, N.J.
20.
Nilson, A. H., and Winter, G. ( 1986). Design of concrete structures, McGraw-Hill, New York.
21.
Pannell, F. N. ( 1963). “Failure surfaces for members in compression and biaxial bending.” ACI J., 60, 129–140.
22.
Put, B. M., Pi, Y., and Trahair, N. S. (1999). “Biaxial bending of cold-formed Z-beams.”J. Struct. Engrg., ASCE, 125(11), 1284–1290.
23.
Roddis, W. M. K., Lucas, W. K., and Chunnonond, V. ( 1996). “Single-criteria genetic optimization for design and detailing of concrete structures.” Proc., Computing Congr. III, ASCE, New York.
24.
Roddis, W. M. K., and Chunnanond, V. ( 1996). “Genetic algorithms applied to single-criteria optimization of reinforced concrete design and detailing.” SL Rep. 96-1, University of Kansas Center for Research, Lawrence, Kans.
25.
Rodríguez, J., Ortega, L. M., and Casal, J. ( 1996). “Loading bearing capacity of concrete columns with corroded reinforcement.” Corrosion of reinforcement in concrete construction, Royal Soc. of Chemistry, Cambridge, U.K., 220–232.
26.
Santos, L. M. ( 1994). Sub-rotinas básicas do dimensionamento de concreto armado, Thot Editora Ltda., São Paulo, Brazil (in Portuguese).
27.
Silva, M. A., Arora, J. S., Swan, C. C., and Brasil, R. M. L. R. F. ( 2000). Optimization of elevated concrete foundations for vibrating machines, in press.
28.
Spiegel, L., and Limbrunner, G. F. ( 1998). Reinforced concrete design, Prentice-Hall, Upper Saddle River, N.J.
29.
Sussekind, J. C. ( 1979). Curso de concreto, Editora Globo, Rio de Janeiro, Brazil (in Portuguese).

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 127Issue 8August 2001
Pages: 922 - 929

History

Received: May 31, 2000
Published online: Aug 1, 2001
Published in print: Aug 2001

Permissions

Request permissions for this article.

Authors

Affiliations

Reyolando M. L. R. F. Brasil
Member, ASCE
Fellow, ASCE
Departamento de Engenharia de Estruturas e Fundações, Escola Politécnica da Universidade de São Paulo, Caixa Postal 61548 CEP 05.424-970 São Paulo-SP., Brasil (corresponding author). E-mail: [email protected]
Dept. of Civ. and Envir. Engrg., Ctr for Computer-Aided Des., Univ. of Iowa, Iowa City, IA 52242.
Dept. of Civ. and Envir. Engrg., Ctr for Computer-Aided Des., Univ. of Iowa, Iowa City, IA 52242.
Departamento de Engenharia de Estruturas e Fundações, Escola Politécnica da Universidade de São Paulo, Caixa Postal 61548 CEP 05.424-970 São Paulo-SP., Brasil.

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