Technical Papers
Sep 3, 2014

Elongation of Reinforced Concrete Plastic Hinges Subjected to Reversed Cyclic Loading

Publication: Journal of Structural Engineering
Volume 141, Issue 8

Abstract

Flexural yielding in plastic hinge regions of reinforced concrete (RC) beams results in a complex strain state and axial elongation of the member. This elongation has a significant effect on the seismic response of the structure. The shear strength and plastic deformation capacity of the hinge region are affected. This paper presents a strain based model to predict the axial elongation of RC hinge regions subjected to reversed cyclic loading, with the help of the tension chord model and the cracked membrane model. Based on these models, the member’s flexural and shear deflection components are considered separately. Further, the model predicts the distribution of average axial strains along the axis of RC beams and represents a new tool for evaluating the general behavior of plastic hinges. The proposed method is applied to test results taken from the literature. A comparison of measured elongations to predictions proves the applicability of the model because reasonable accuracy is achieved.

Get full access to this article

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

References

Bachmann, H. (1967). “Zur plastizitätstheoretischen Berechnung statisch unbestimmter Stahlbetonbalken [On the plastic analysis of statically indeterminate concrete beams].”, Institute of Structural Engineering, ETH, Zurich, Switzerland.
Choi, K. K., and Park, H. G. (2010). “Evaluation of inelastic deformation capacity of beams subjected to cyclic loading.” ACI Struct. J., 107(5), 507–515.
Collins, M. P., and Mitchell, D. (1980). “Shear and torsion design of prestressed and non-prestressed concrete beams.” PCI J., 25(5), 32–100.
Eligehausen, R., Popov, E., and Bertero, V. V. (1983). “Local bond stress-slip Relationships of deformed bars under generalized excitations.”, Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Elmenshawi, A., Brown, T., and Loov, R. (2009). “Behaviour of flexural plastic hinges under high seismic shear with consideration of concrete strength.” Can. J. Civ. Eng., 36(11), 1711–1721.
Eom, T. S., and Park, H. G. (2010). “Elongation of reinforced concrete members subjected to cyclic loading.” J. Struct. Eng., 1044–1054.
Eom, T. S., and Park, H. G. (2013). “Evaluation of shear deformation and energy dissipation of reinforced concrete members subject to cyclic loading.” ACI Struct. J., 110(5), 845–854.
Fenwick, R. C., and Davidson, B. J. (1995). “Elongation in ductile seismic resistance reinforced concrete frames.”, American Concrete Institute, Detroit, 143–170.
Fenwick, R. C., Tankut, A. T., and Thom, C. W. (1981). “The deformation of reinforced concrete beams subjected to inelastic cyclic loading: Experimental results.”, Dept. of Civil Engineering, Univ. of Auckland, New Zealand.
Hsu, T. T. C. (1988). “Softened truss model theory for shear and torsion.” ACI Struct. J., 85(6), 624–635.
Kaufman, W. (1998). “Strength and deformations of structural concrete subjected to in-plane shear and normal forces.”, Institute of Structural Engineering, ETH, Zürich, Switzerland.
Kinugasa, H., and Nomura, S. (1994). “Failure mechanism under reversed cyclic loading after flexural yielding.” Concr. Res. Technol., Jpn. Concr. Inst., 5(2), 21–32 (in Japanese).
Lee, J., and Watanabe, F. (2003a). “Shear deterioration of reinforced concrete beams subjected to reversed cyclic loading.” ACI Struct. J., 100(4), 480–489.
Lee, J., and Watanabe, F. (2003b). “Predicting the longitudinal axial strain in the plastic hinge regions of reinforced concrete beams subjected to reversed cyclic loading.” Eng. Struct., 25(7), 927–939.
Marti, P., Alvarez, M., Kaufmann, W., and Sigrist, V. (1998). “Tension chord model for structural concrete.” Struct. Eng. Int., 8(4), 287–298.
Matthews, J. G., Mander, J. B., and Bull, D. K. (2004). “Prediction of beam elongation in structural concrete members using a rainflow method.” Proc., New Zealand Society of Earthquake Engineering Conf., New Zealand Society for Earthquake Engineering, Wellington, New Zealand.
Mehrabani, R. V., and Sigrist, V. (2013). “Shear strength of reinforced concrete plastic hinges subjected to seismic action.” 5th Int. Conf. on Structural Engineering, Mechanics and Computation (SEMC 2013), CRC Press, London.
Muguruma, H., et al. (1988). “Study on shear design of RC beams subjected to combined bending and shear: Part 1 and Part 2.” Summaries of Technical Papers of Annual Meeting of AIJ, 183–186 (in Japanese).
Peng, B. H. H., Dhakal, R. P., Fenwick, R. C., Carr, A. J., and Bull, D. K. (2011a). “Elongation of plastic hinges in ductile RC members: Model development.” J. Adv. Concr. Technol., 9(3), 315–326.
Peng, B. H. H., Dhakal, R. P., Fenwick, R. C., Carr, A. J., and Bull, D. K. (2011b). “Elongation of plastic hinges in ductile RC members: Model verification.” J. Adv. Concr. Technol., 9(3), 327–338.
Peng, B. H. H., Dhakal, R. P., Fenwick, R. C., Carr, A. J., and Bull, D. K. (2013). “Multispring hinge element for reinforced concrete frame analysis.” J. Struct. Eng., 595–606.
Priestley, M. J. N., Verma, R., and Xiao, Y. (1994). “Seismic shear strength of reinforced concrete columns.” J. Struct. Eng., 2310–2329.
Sigrist, V. (1995). “Zum Verformungsvermögen von Stahlbetonträgern [On the deformation capacity of structural concrete girders].”, Institute of Structural Engineering, ETH, Zurich, Switzerland.
Sigrist, V. (2011). “Generalized stress field approach for analysis of beams in shear.” ACI Struct. J., 108(4), 479–487.
Sigrist, V., Alvarez, M., and Kaufmann, W. (1995). “Shear and flexure in structural concrete beams.” Ultimate limit state design models: A state-of-art report, Bulletin d’information No. 223, Comité Euro-International du Béton, Paris.
Sigrist, V., and Marti, P. (1994). “Ductility of structural concrete: A contribution.” Workshop on the Development of EN 1992 and the CEB-FIP Model Code 1990, Czech Technical Univ., Prague, Czech Republic.
Sigrist, V., and Schuette, B. (2014). “Shear strength of plastic hinge regions.” Proc., 4th Int. fib Congress 2014, Universities Press, India.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression field theory for reinforced concrete elements subjected to shear.” ACI J., 83(2), 219–231.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 141Issue 8August 2015

History

Received: Jan 6, 2014
Accepted: Jul 31, 2014
Published online: Sep 3, 2014
Discussion open until: Feb 3, 2015
Published in print: Aug 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Reza Vojoudi Mehrabani [email protected]
Ph.D. Candidate, Institute of Concrete Structures, Hamburg Univ. of Technology, Building L, 21073 Hamburg, Germany (corresponding author). E-mail: [email protected]
Viktor Sigrist [email protected]
Professor, Institute of Concrete Structures, Hamburg Univ. of Technology, Building L, 21073 Hamburg, Germany. 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