Technical Papers
Aug 25, 2020

Simplified Analytical Nonlinear Model for Contact Problem between Precast Concrete Beams and Elastomeric Bearing Pads

Publication: Journal of Structural Engineering
Volume 146, Issue 11

Abstract

This paper presents an advance in the analytical prediction of the contact interaction between bearing pads and precast beams. Contact problems are typically nonlinear, and until recently, there was no analytical proposition to predict the nonlinear moment-rotation relation of bearing pads accounting for the loss of contact (lift-off) between the parts. It should be pointed out that lift-off governs the lateral stability of beams supported from below during erection. The energy method is utilized to determine a closed-form nonlinear equation. The nonlinear results for the proposed solution are in close agreement with experiments and finite-element analysis. Also, the initial rotational stiffness predicted by the current solution is 40% smaller than the solution available in the literature. The difference occurred due to the assumed nonlinear contact stress distribution between the beam and pad in the proposed formulation. From the results it was found that the relation WL3 and the level of precompression governs the moment-rotation capacity of bearing pads. Furthermore, the study highlights that lift-off occurs for small rotations, meaning that beams can have no full contact with pads. Therefore, the use of the secant stiffness is a safer choice to determine the rotational stiffness for verification of the lateral stability of beams.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior–Brasil (CAPES)–Finance Code 001. Also, the first author would like to acknowledge the scholarship (Code 1804751) provided by CAPES.

References

AASHTO. 2012. Specifications, AASHTO-LRFD bridge design. Washington, DC: AASHTO.
Ali, A., M. Hosseini, and B. B. Sahari. 2010. “A review of constitutive models for rubber-like materials.” Am. J. Eng. Appl. Sci. 3 (1): 232–239. https://doi.org/10.3844/ajeassp.2010.232.239.
Bairán, J. M., and A. Cladera. 2014. “Collapse of a precast concrete beam for a light roof. Importance of elastomeric bearing pads in the element’s stability.” Eng. Fail. Anal. 39 (Apr): 188–199. https://doi.org/10.1016/j.engfailanal.2014.02.001.
Burgoyne, C. J., and T. J. Stratford. 2001. “Lateral instability of long-span prestressed concrete beams on flexible bearings.” Struct. Eng. 79 (6): 23–26.
Chomchuen, P., and V. Boonyapinyo. 2017. “Incremental dynamic analysis with multi-modes for seismic performance evaluation of RC bridges.” Eng. Struct. 132 (Feb): 29–43. https://doi.org/10.1016/j.engstruct.2016.11.026.
Consolazio, G. R., and H. R. Hamilton. 2012. Experimental validation of bracing recommendations for long-span concrete girders. Gainesville, FL: Univ. of Florida.
Harper, Z. S., and G. R. Consolazio. 2013. “Calculation method for quantifying axial and roll stiffnesses of rectangular steel-reinforced elastomeric bridge bearing pads.” J. Transp. Res. Board 2331 (1): 3–13. https://doi.org/10.3141/2331-01.
Imbimbo, M., and A. De Luca. 1998. “FE stress analysis of rubber bearings under axial loads.” Comput. Struct. 68 (1–3): 31–39. https://doi.org/10.1016/S0045-7949(98)00038-8.
Krahl, P. A. 2014. Instabilidade lateral de vigas pré-moldadas em situações transitórias. [In Portuguese.] São Paulo, Brazil: Escola de Engenharia de São Carlos—USP.
Krahl, P. A., R. Carrazedo, and M. K. E. L. Debs. 2017. “Rollover stability of precast concrete beams supported by elastomeric bearing pads.” Ibracon Struct. Mater. J. 10 (6): 1192–1204. https://doi.org/10.1590/S1983-41952017000600005.
Krahl, P. A., R. Carrazedo, and M. K. El Debs. 2018. “Analytical solutions for rollover instability of concrete beams on elastomeric bearing pads.” Eng. Struct. 174 (Nov): 154–164. https://doi.org/10.1016/j.engstruct.2018.07.041.
Lee, J. 2017. “Evaluation of the lateral stability of precast beams on an elastic bearing support with a consideration of the initial sweep.” Eng. Struct. 143 (Jul): 101–112. https://doi.org/10.1016/j.engstruct.2017.04.006.
Lima, M. C. V., and M. K. El Debs. 2005. “Numerical and experimental analysis of lateral stability in precast concrete beams.” Mag. Concr. Res. 57 (10): 635–647. https://doi.org/10.1680/macr.2005.57.10.635.
Mast, R. 1993. “Lateral stability of long prestressed concrete beams—Part 2.” PCI J. 38 (1): 70–88.
Mast, R. F. 1994. “Lateral bending test to destruction of a 149 ft prestressed concrete I-beam.” PCI J. 39 (4): 54–62. https://doi.org/10.15554/pcij.07011994.54.62.
Plaut, R. H., and C. D. Moen. 2014. “Stability of unbraced concrete beams on bearing pads including wind loading.” Eng. Struct. 69 (Jun): 246–254. https://doi.org/10.1016/j.engstruct.2014.03.024.
Yazdani, N., S. Eddy, and C. S. Cai. 2000. “Effect of bearing pads on precast prestressed concrete bridges.” J. Bridge Eng. 5 (3): 224–232. https://doi.org/10.1061/(ASCE)1084-0702(2000)5:3(224).

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 146Issue 11November 2020

History

Received: Apr 28, 2019
Accepted: Jun 10, 2020
Published online: Aug 25, 2020
Published in print: Nov 1, 2020
Discussion open until: Jan 25, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Faculty of Civil Engineering, Architecture and Urbanism, Univ. of Campinas, CEP, Campinas, SP 13083-852, Brazil (corresponding author). ORCID: https://orcid.org/0000-0002-6172-5481. Email: [email protected]
Professor, Faculty of Civil Engineering, Federal Univ. of Uberlandia, Av. Joao Naves de Avila, 2121 Bloco 1Y, Uberlandia, MG 38400-902, Brazil. ORCID: https://orcid.org/0000-0001-9641-474X. Email: [email protected]
Professor, Faculty of Civil Engineering, Architecture and Urbanism, Univ. of Campinas, CEP, Campinas, SP 13083-852, Brazil. ORCID: https://orcid.org/0000-0002-2416-1701. 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.

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