Technical Papers
Mar 24, 2021

Assessment of Second-Order Effect in Externally Prestressed Steel–Concrete Composite Beams

Publication: Journal of Bridge Engineering
Volume 26, Issue 6

Abstract

Externally prestressed steel–concrete composite (EPSCC) beams in their deformed configuration are characterized by changes in the effective depth of external tendons. However, little information is available on this second-order effect and parameters that are closely related to it, such as the deviator spacing and load type, have never been analyzed. This study will describe an in-depth investigation of the second-order effect in EPSCC beams. By applying an experimentally validated model, numerical simulations will be performed to assess the effect of the ratio of deviator spacing to span length (Sd/L) and load type on the behavior of EPSCC beams. The results show that the second-order effect was negligible for Sd/L <0.25. The ultimate load decreases linearly with an increasing Sd/L from 0.25 to 1. An increase in Sd/L resulted in a decrease in ultimate tendon stress increment. Compared with two-point or uniform loading, one-point loading at midspan led to substantially lower ultimate tendon stress and deflection, and therefore, a lower second-order effect. An equation that considers the second-order effect will be proposed to estimate the ultimate tendon stress in EPSCC beams. The proposed equation showed a good correlation with the numerical simulations.

Get full access to this article

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

Acknowledgments

The work has been supported by the National Natural Science Foundation of China under Grant No. 51978549.

References

Abu-Sena, A. B., I. G. Shaaban, M. S. Soliman, and K. A. M. Gharib. 2020. “Effect of geometrical properties on strength of externally prestressed steel-concrete composite beams.” Proc. Inst. Civ. Eng. Struct. Build. 173 (1): 42–62. https://doi.org/10.1680/jstbu.17.00172.
ACI (American Concrete Institute). 2004. Prestressing concrete structures with FRP tendons. ACI 440.4R-04. Farmington Hills, MI: ACI.
Alqam, M., F. Alkhairi, and A. Naaman. 2020. “An improved methodology for the prediction of the stress at ultimate in unbonded internal and external steel tendons.” Arabian J. Sci. Eng. 45 (10): 7915–7954. https://doi.org/10.1007/s13369-020-04475-w.
Ayyub, B. M., Y. G. Sohn, and H. Saadatmanesh. 1990. “Prestressed composite girders under positive moment.” J. Struct. Eng. 116 (11): 2931–2951. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:11(2931).
Chen, S., and P. Gu. 2005. “Load carrying capacity of composite beams prestressed with external tendons under positive moment.” J. Constr. Steel Res. 61 (4): 515–530. https://doi.org/10.1016/j.jcsr.2004.09.004.
Chen, S., and Y. Jia. 2010. “Numerical investigation of inelastic buckling of steel-concrete composite beams prestressed with external tendons.” Thin-Walled Struct. 48 (3): 233–242. https://doi.org/10.1016/j.tws.2009.10.009.
Chen, S., X. Wang, and Y. Jia. 2009. “A comparative study of continuous steel-concrete composite beams prestressed with external tendons: Experimental investigation.” J. Constr. Steel Res. 65 (7): 1480–1489. https://doi.org/10.1016/j.jcsr.2009.03.005.
Dall’Asta, A., L. Ragni, and A. Zona. 2006. “Steel-concrete composite beams prestressed by external tendons: Effects of material and geometric nonlinearities.” Adv. Steel Constr. 2 (1): 53–70. https://doi.org/10.18057/IJASC.2006.2.1.4.
El-Zohairy, A., and H. Salim. 2017. “Parametric study for post-tensioned composite beams with external tendons.” Adv. Struct. Eng. 20 (10): 1433–1450. https://doi.org/10.1177/1369433216684352.
El-Zohairy, A., H. Salim, and A. Saucier. 2019. “Steel-concrete composite beams strengthened with externally post-tensioned tendons under fatigue.” J. Bridge Eng. 24 (5): 04019027. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001390.
El-Zohairy, A., H. Salim, H. Shaaban, S. Mustafa, and A. El-Shihy. 2015. “Finite-element modeling of externally posttensioned composite beams.” J. Bridge Eng. 20 (12): 04015018. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000756.
Filippou, F. C., E. P. Popov, and V. V. Bertero. 1983. Effects of bond deterioration on hysteretic behavior of reinforced concrete joints. Berkeley, CA: Earthquake Engineering Research Center, Univ. of California.
Harajli, M., N. Khairallah, and H. Nassif. 1999. “Externally prestressed members: Evaluation of second-order effects.” J. Struct. Eng. 125 (10): 1151–1161. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:10(1151).
He, Z. Q., and Z. Liu. 2010. “Stresses in external and internal unbonded tendons: Unified methodology and design equations.” J. Struct. Eng. 136 (9): 1055–1065. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000202.
Hognestad, E. 1951. A study of combined bending and axial load in reinforced concrete members. Bulletin No. 399. Urbana, IL: Univ. of Illinois Engineering Experiment Station.
Lou, T., and T. L. Karavasilis. 2019a. “Numerical assessment of the nonlinear behavior of continuous prestressed steel-concrete composite beams.” Eng. Struct. 190: 116–127. https://doi.org/10.1016/j.engstruct.2019.04.031.
Lou, T., and T. L. Karavasilis. 2019b. “Numerical evaluation of prestressed steel-concrete composite girders with external FRP or steel tendons.” J. Constr. Steel Res. 162: 105698. https://doi.org/10.1016/j.jcsr.2019.105698.
Lou, T., S. M. R. Lopes, and A. V. Lopes. 2015. “Interaction between time-dependent and second-order effects of externally posttensioned members.” J. Bridge Eng. 20 (11): 06015003. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000761.
Lou, T., S. M. R. Lopes, and A. V. Lopes. 2016. “Numerical modeling of externally prestressed steel–concrete composite beams.” J. Constr. Steel Res. 121: 229–236. https://doi.org/10.1016/j.jcsr.2016.02.008.
Lou, T., and Y. Xiang. 2010. “Numerical analysis of second-order effects of externally prestressed concrete beams.” Struct. Eng. Mech. 35 (5): 631–643. https://doi.org/10.12989/sem.2010.35.5.631.
McKinney, E., M. Chang, M. Maguire, and Y. Sun. 2019. “Prediction of stress increase at ultimate in unbonded tendons using sparse principal component analysis.” Int. J. Concr. Struct. Mater. 13 (1): 20. https://doi.org/10.1186/s40069-019-0339-y.
Menegotto, M., and P. E. Pinto. 1973. “Method of analysis for cyclically loaded reinforced concrete plane frames.” In Proc., IABSE Symp. on Resistance and Ultimate Deformability of Structures Acted on Well-Defined Repeated Loads. Lisbon, Portugal: Int. Association for Bridge and Structural Engineering.
Moscoso, A. M., J. L. P. Tamayo, and I. B. Morsch. 2017. “Numerical simulation of external pre-stressed steel-concrete composite beams.” Comput. Concr. 19 (2): 191–201. https://doi.org/10.12989/cac.2017.19.2.191.
Naaman, A. E. 1983. “An approximate nonlinear design procedure for partially prestressed concrete beams.” Comput. Struct. 17 (2): 287–299. https://doi.org/10.1016/0045-7949(83)90017-2.
Nie, J., M. Tao, C. S. Cai, and S. Li. 2009. “Deformation analysis of prestressed continuous steel-concrete composite beams.” J. Struct. Eng. 135 (11): 1377–1389. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000067.
Nordin, H. 2005. Strengthening structures with externally prestressed tendons. Technical Rep. Lulea, Sweden: Lulea Univ. of Technology.
Roberts-Wollmann, C. L., M. E. Kreger, D. M. Rogowsky, and J. E. Breen. 2005. “Stresses in external tendons at ultimate.” ACI Struct. J. 102 (2): 206–213. https://doi.org/10.14359/14271.
Sousa, J. M. R., E. Parente, E. M. F. Lima, and M. V. X. Oliveira. 2019. “Beam-tendon finite elements for post-tensioned steel-concrete composite beams with partial interaction.” J. Constr. Steel Res. 159: 147–160. https://doi.org/10.1016/j.jcsr.2019.04.009.
Zhang, N., and C. C. Fu. 2009. “Experimental and theoretical studies on composite steel-concrete box beams with external tendons.” Eng. Struct. 31 (2): 275–283. https://doi.org/10.1016/j.engstruct.2008.08.004.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 26Issue 6June 2021

History

Received: Sep 6, 2020
Accepted: Jan 14, 2021
Published online: Mar 24, 2021
Published in print: Jun 1, 2021
Discussion open until: Aug 24, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Tiejiong Lou
Professor, Key Laboratory of Roadway Bridge & Structure Engineering, Wuhan Univ. of Technology, 430070 Wuhan, China.
Theodore L. Karavasilis
Professor, Dept. of Civil Engineering, Univ. of Patras, GR-26500 Patras, Greece.
Professor, Key Laboratory of Roadway Bridge & Structure Engineering, Wuhan Univ. of Technology, 430070 Wuhan, China (corresponding author). Email: [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

  • Flexural Analysis Model of Externally Prestressed Steel-Concrete Composite Beam with Nonlinear Interfacial Connection, Applied Sciences, 10.3390/app12094699, 12, 9, (4699), (2022).
  • State-of-the-art and annual progress of bridge engineering in 2021, Advances in Bridge Engineering, 10.1186/s43251-022-00070-1, 3, 1, (2022).
  • Size, layout and tendon profile optimization of prestressed steel trusses using Jaya algorithm, Structures, 10.1016/j.istruc.2022.04.014, 40, (284-294), (2022).

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