Technical Papers
Sep 15, 2022

Calibration of Temperature Gradient Load Factor for Service Limit State Design of Concrete Slab-on-Girder Bridges

Publication: Journal of Bridge Engineering
Volume 27, Issue 11

Abstract

Design factors in load and resistance factor design (LRFD) codes are determined using structural reliability theory to account for the uncertainties in loads and resistance. The calibration of load factors for strength limit states has been investigated during the development of AASHTO LRFD bridge design specifications (BDS). In comparison, sparse efforts can be found for calibrating service limit state load factors. Temperature variations affect all types of bridges and cause additional stresses, deformations, and moments in different bridge components. Calibration of load factors for vertical temperature gradients appear to be lacking for both strength and service limit states. This paper focuses on calibrating positive vertical temperature gradient load factors for the Service III limit state. A design space consisting of 70 two-span continuous bridges with different bridge configurations is established and designed for severe corrosive exposure conditions. Design stresses for various load cases are first calculated. Using the first-order reliability method (FORM) and considering the sources of uncertainties due to materials, fabrication, and load effects, temperature gradient load factors were then calibrated for different risk levels. The results show that vertical temperature gradient load factors between 1.00 and 1.40 should be used for the Service III limit state.

Get full access to this article

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

Acknowledgments

This research is sponsored in part by the National Science Foundation, USA (IUSE# 1432397) and the Louisiana Transportation Research Center (Project # 12-1ST) in addition to support from the Department of Civil and Environmental Engineering at Louisiana State University. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors.

References

AASHTO. 2020. LRFD bridge design specifications. 9th ed. Washington, DC: AASHTO.
ANSYS. 2013. ANSYS mechanical APDL element reference. Canonsburg, PA: ANSYS.
BridgeTech Inc., Tennessee Technological University, and Mertz, D. R. 2007. Simplified live load distribution factor equations. NCHRP Rep. 592. Washington, DC: Transportation Research Board.
Bulleit, W. M. 2008. “Uncertainty in structural engineering.” Pract. Period. Struct. Des. Constr. 13 (1): 24–30. https://doi.org/10.1061/(ASCE)1084-0680(2008)13:1(24).
Dilger, W. H., A. Ghali, M. Chan, M. S. Cheung, and M. A. Maes. 1983. “Temperature stresses in composite box girder bridges.” J. Struct. Eng. 109 (6): 1460–1478. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:6(1460).
Eamon, C. D., V. Kamjoo, and K. Shinki. 2016. “Design live-load factor calibration for Michigan highway bridges.” J. Bridge Eng. 21 (6): 04016014. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000897.
Ellingwood, B., T. V. Galambos, J. G. MacGregor, and C. A. Cornell. 1980. Development of a probability based load criterion for American National Standard A58. Gaithersburg, MD: National Bureau of Standards, Dept. of Commerce.
Elshoura, A. 2021. “Temperature gradient effects on behavior and design of prestressed concrete girder bridges.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Louisiana State Univ.
Elshoura, A., and A. M. Okeil. 2022. “Study of statistical uncertainties for temperature gradients in concrete bridges.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 8 (1): 04021083. https://doi.org/10.1061/AJRUA6.0001209.
Ghasemi, S. H., and A. S. Nowak. 2016. “Reliability analysis for serviceability limit state of bridges concerning deflection criteria.” Struct. Eng. Int. 26 (2): 168–175. https://doi.org/10.2749/101686616X14555428758722.
Ghosn, M., F. Moses, and J. Wang. 2003. Design of highway bridges for extreme events. NCHRP Rep. 489. Washington, DC: Transportation Research Board.
Hossain, T., and A. M. Okeil. 2014. “Force transfer mechanism in positive moment continuity details for prestressed concrete girder bridges.” Comput. Concr. 14 (2): 109–125. https://doi.org/10.12989/cac.2014.14.2.109.
Hossain, T., S. Segura, and A. Okeil. 2020. “Structural effects of temperature gradient on a continuous prestressed concrete girder bridge: Analysis and field measurements.” Struct. Infrastruct. Eng. 16 (11): 1539–1550. https://doi.org/10.1080/15732479.2020.1713167.
Hou, N., L. Sun, and L. Chen. 2020. “Cable reliability assessments for cable-stayed bridges using identified tension forces and monitored loads.” J. Bridge Eng. 25 (7): 05020003. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001573.
JCSS (Joint Committee on Structural Safety). 2001. JCSS probabilistic model code: Load models. Zurich: JCSS.
Kwon, O.-S., E. Kim, and S. Orton. 2011. “Calibration of live-load factor in LRFD bridge design specifications based on state-specific traffic environments.” J. Bridge Eng. 16 (6): 812–819. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000209.
MacGregor, J. G. 1976. “Safety and limit states design for reinforced concrete.” Can. J. Civ. Eng. 3 (4): 484–513. https://doi.org/10.1139/l76-055.
Mlynarski, M., W. Wassef, and A. Nowak. 2011. A comparison of AASHTO bridge load rating methods. NCHRP Rep. 700. Washington, DC: National Research Council.
Modjeski and Masters Inc., Univ. of Nebraska-Lincoln, Univ. of Delaware, and NCS Consult. LLC. 2015. Bridges for service life beyond 100 years: Service limit state design. SHRP 2 Rep. S2-R19B-RW-1. Washington, DC: Transportation Research Board.
Naaman, A. E., and A. Siriaksorn. 1982. “Reliability of partially prestressed beams at serviceability limit states.” PCI J. 27 (6): 66–85. https://doi.org/10.15554/pcij.11011982.66.85.
Nowak, A. S. 1999. Calibration of LRFD bridge design code. NCHRP Rep. 368. Washington, DC: Transportation Research Board.
Nowak, A. S., and K. R. Collins. 2000. Reliability of structures. New York: McGraw Hill.
Nowak, A. S., and O. Iatsko. 2017. “Revised load and resistance factors for the AASHTO LRFD bridge design specifications.” PCI J. 62 (3): 46–58. https://doi.org/10.15554/pcij62.3-02.
Nowak, A. S., M. M. Szerszen, E. Szeliga, A. Szwed, and P. Podhorecki. 2008. Reliability-based calibration for structural concrete; phase 3. Skokie, IL: Portland Cement Association.
Okeil, A. M. 2006. “Allowable tensile stress for webs of prestressed segmental concrete bridges.” ACI Struct. J. 103 (4): 488–495.
Okeil, A. M. 2014. Data collection and evaluation of continuity detail for John James Audubon Bridge No. 61390613004101. FHWA/LA.14/526. Baton Rouge, LA: Louisiana Transportation Research Center.
Okeil, A. M., C. S. Cai, V. Chebole, and T. Hossain. 2011. Evaluation of continuity detail for precast prestressed girders. FHWA/LA.11/477. Baton Rouge, LA: Louisiana Transportation Research Center.
Oluokun, F. A. 1991. “Prediction of concrete tensile strength from compressive strength: Evaluation of existing relations for normal weight concrete.” ACI Mater. J. 88 (3): 302–309.
Priestley, M. J. N. 1978. “Design of concrete bridges for temperature gradients.” ACI J. Proc. 75 (5): 209–217.
Priestley, M. J. N. 1985. “Long term observations of concrete structures analysis of temperature gradient effects.” Mater. Struct. 18 (4): 309–316. https://doi.org/10.1007/BF02472921.
Rackwitz, R., and B. Fiessler. 1978. “Structural reliability under combined random load sequences.” Comput. Struct. 9 (5): 489–494. https://doi.org/10.1016/0045-7949(78)90046-9.
Siriaksorn, A., and A. E. Naaman. 1980. Reliability of partially prestressed beams at serviceability limit states. Rep. No. 80-1. Chicago: Univ. of Illinois.
Tadros, M. K., N. Al-Omaishi, S. J. Seguirant, and J. G. Gallt. 2003. Prestress losses in pretensioned high-strength concrete bridge girders. NCHRP Rep. 496. Washington, DC: Transportation Research Board.
van de Lindt, J. W., G. Fu, Y. Zhou, and R. M. Pablo, Jr. 2005. “Locality of truck loads and adequacy of bridge design load.” J. Bridge Eng. 10 (5): 622–629. https://doi.org/10.1061/(ASCE)1084-0702(2005)10:5(622).
Wassef, W. G., J. M. Kulicki, H. Nassif, D. Mertz, and A. S. Nowak. 2014. Calibration of AASHTO LRFD concrete bridge design specifications for serviceability. Web-Only Document 201. Washington, DC: National Cooperative Highway Research Program, Transportation Research Board.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 27Issue 11November 2022

History

Received: Jan 19, 2022
Accepted: Jul 20, 2022
Published online: Sep 15, 2022
Published in print: Nov 1, 2022
Discussion open until: Feb 15, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Ahmed Elshoura, Ph.D. [email protected]
Dept. of Civil and Environmental Engineering, Louisiana State Univ., Baton Rouge, LA 70803. Email: [email protected]
Roy P. Daniels Professor of Engineering, Dept. of Civil and Environmental Engineering, Louisiana State Univ., Baton Rouge, LA 70803 (corresponding author). ORCID: https://orcid.org/0000-0001-9685-9458. 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