TECHNICAL PAPERS
Jan 1, 2006

Numerical Model for the Analysis of Unbonded Prestressed Members

Publication: Journal of Structural Engineering
Volume 132, Issue 1

Abstract

A numerical model for the study of prestressed members with bonded and unbonded tendons has been implemented, considering the hybrid type finite element formulation for planar frames. With such an approach, accurate curvature distributions are obtained, allowing a good computational performance and an adequate unbonded tendon stresses evaluation. The computer program also includes geometric nonlinearity, composite construction, and time-dependent effects. Linear Maxwell chain models are used for both concrete and prestressed steel time-dependent behavior. This paper presents a general description of the numerical model proposed, including the structural idealization approach, a hybrid type finite element formulation review, the material constitutive models, and the main numerical procedures. A brief review of the behavior of unbonded prestressed members is also presented. Numerical and experimental results are compared, showing the good performance of the model for the analysis of unbonded prestressed elements. Unbonded tendon stresses and cracking pattern results are included, showing the capability of the numerical model. The model is proposed as an efficient analytical tool for further research on unbonded prestressed members.

Get full access to this article

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

Acknowledgment

The writers would like to thank CNPq (Brazilian Research Council) for providing financial support for this study.

References

Barbieri, R. A. (2003). “Modelo numérico para a análise de elementos com protensão aderente e não aderente.” PhD thesis, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brasil (In Portuguese).
Bazant, Z. P. (1972). “Numerical determination of long-range stress history from strain history in concrete.” Mater. Constr. (Paris), 5(27), 135–141.
Bazant, Z. P., and Wu, S. T. (1974). “Rate-type creep law of aging concrete based on Maxwell chain.” Mater. Constr. (Paris), 7(37), 45–60.
Carol, I., and Murcia, J. (1989). “Non-linear time-dependent analysis of planar frame using an ‘exact’ formulation—I. Theory.” Comput. Struct., 33(1), 79–87.
Chakrabarti, P. R. (1995). “Ultimate stress for unbonded post-tensioning tendons in partially prestressed beams.” ACI Struct. J., 92(6), 689–697.
Comité Euro-International Du Beton (CEB). (1993). “CEB-FIP Model Code 1990.” CEB Bull. d’Information n. 213/214, Lausanne, Switzerland.
Cooke, N., Park, R., and Yong, P. (1981) “Flexural strength of prestressed concrete members with unbonded tendons.” PCI J., 26(6), 52–80.
Devalapura, R. K., and Tadros, M. K. (1992). “Stress-strain modeling of 270ksi low-relaxation prestressing strands.” PCI J., 37(2), 100–106.
Harajli, M. H., and Kanj, M. Y. (1991). “Ultimate flexural strength of concrete members prestressed with unbonded members.” ACI Struct. J., 88(6), 663–673.
Kabaila, A., Saenz, L. P., Tulin, L. G., and Gerstle, K. H. (1964). “Equation for the stress-strain curve of concrete.” ACI J., 61(3), 1227–1239.
Lee, L.-H., Moon, J.-H., and Lim, J.-H. (1999). “Proposed methodology for computing of unbonded tendon stress at flexural failure.” ACI Struct. J., 96(6), 1040–1048.
Mattock, A. H., Yamazaki, J., and Kattula, B. T. (1971). “Comparative study of prestressed concrete beams, with and without bond.” ACI J., 68(2), 116–125.
Mojtahedi, S., and Gamble, W. L. (1978). “Ultimate steel stress in unbonded prestressed concrete.” J. Struct. Div. ASCE, 104(7), 1159–1164.
Moon, J.-H. (1994). “Time-dependent analysis of behavior and strength for prestressed concrete members with bonded and unbonded tendons.” PhD thesis, Univ. of Texas, Austin, Tex.
Moon, J.-H., and Burns, N. H. (1997a). “Flexural behaviors of member with unbonded tendons. I: Theory.” J. Struct. Eng., 123(8), 1087–1094.
Moon, J.-H., and Burns, N. H. (1997b). “Flexural behaviors of member with unbonded tendons. I: Applications.” J. Struct. Eng., 123(8), 1095–1101.
Nawy, E. G., and Salek, F. (1968). “Moment-rotation relationships of non-bonded post-tensioned I- and T-beams.” PCI J., 13(4), 40–55.
Silva, C. S. B. (1994). “Análise numérico-experimental de elementos protendidos tipo laje-roth.” MSc dissertation, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brasil (In Portuguese).
Tao, X., and Du, G. (1985). “Ultimate stress of unbonded tendons in partially prestressed concrete beams.” PCI J., 30(6), 72–91.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 132Issue 1January 2006
Pages: 34 - 42

History

Received: May 14, 2003
Accepted: Feb 14, 2005
Published online: Jan 1, 2006
Published in print: Jan 2006

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Dat Duthinh

Authors

Affiliations

Ranier Adonis Barbieri [email protected]
Associated Researcher, Civil Engineering Graduate Program, Federal Univ. of Brasil at Rio Grande do Sul-UFRGS, R. João Abbott, 516/501, 90460-150, Porto Alegre, RS, Brasil. E-mail: [email protected]
Francisco de Paula Simões Lopes Gastal [email protected]
Professor, Civil Engineering Graduate Program, Federal Univ. of Brasil at Rio Grande do Sul-UFRGS, Av. Osvaldo Aranha, 99, 3° andar, 90035-190, Porto Alegre, RS, Brasil. E-mail: [email protected]
Américo Campos Filho [email protected]
Professor, Civil Engineering Graduate Program, Federal Univ. of Brasil at Rio Grande do Sul-UFRGS, Av. Osvaldo Aranha, 99, 3° andar, 90035-190, Porto Alegre, RS, Brasil. E-mail: [email protected]

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