Abstract

With the inventory of aging and deteriorating concrete infrastructure continuing to grow throughout much of North America and other regions of the world, there is a need for cost-effective tools that can provide meaningful assessments regarding structural damage. This paper presents a crack-based analysis procedure that can be used to estimate the residual shear strength of cracked reinforced concrete beam-type elements, based on a member-idealized, fixed-crack-continuum analysis procedure. Easy-to-obtain concrete crack measurements, which serve as input, are used in combination with basic material mechanical properties, member geometry and detailing, and cracked concrete dedicated behavioral modeling to provide estimates of the residual/remaining member shear capacity and to forecast critical shear crack widths to be referenced in future inspection and monitoring efforts. The fixed-crack continuum modeling approach is presented in a manner that can accommodate transverse confining stresses stemming from disturbed regions and relevant to the analysis of reinforced concrete beams. Two different procedure solution methods were investigated: one employing an assumption regarding the longitudinal stress acting on the idealized element and one using an estimate of average longitudinal strain based on known loading proportions. Data pertaining to 48 different beam specimens, comprising five different experimental programs documented in the literature, were employed for validation. The results presented in this paper demonstrate that even with the use of easy-to-obtain crack data and simple cracked-concrete modeling techniques, crack-based assessment procedures can be used to provide meaningful structural performance assessment data for existing concrete infrastructure.

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 generated or used during the study are available from the corresponding author by request [Procedure as implemented in Microsoft Excel (VBA)].

Acknowledgments

The authors wish to acknowledge the support of the Texas Department of Transportation and the Dwight David Eisenhower Transportation Fellowship Program from the Federal Highway Administration, which made this research possible.

References

AASHTO. 2017. AASHTO LRFD Bridge Design Specifications. 8th ed. Washington, DC: AASHTO.
AASHTO. 2018. Manual for Bridge Element Inspection. 1st ed. Washington, DC: AASHTO.
Acevedo, A. B., E. C. Bentz, and M. P. Collins. 2009. “Influence of clamping stresses in the shear strength of concrete slabs under uniform loads.” Supplement, J. Earthquake Eng. 13 (S1): 1–17. https://doi.org/10.1080/13632460902813190.
Aguilar, G. 2011. “Effect of high-strength concrete on web reinforcement requirements for reinforced concrete bridge girders.” Ph.D. dissertation, Dept. of Civil Engineering, Purdue Univ.
Bentz, E. C. 2005. “Explaining the riddle of tension stiffening models for shear panel experiments.” J. Struct. Eng. 131 (9): 1422–1425. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:9(1422).
Bentz, E. C., F. J. Vecchio, and M. P. Collins. 2006. “Simplified modified compression field theory for calculating shear strength of reinforced concrete elements.” ACI Struct. J. 103 (4): 614–624. https://doi.org/10.14359/16438.
Birrcher, D., R. Tuchscherer, M. Huizinga, O. Bayrak, S. Wood, and J. Jirsa. 2009. Strength and serviceability design of reinforced concrete deep beams.. Austin, TX: Center for Transportation Research.
Bracci, J. M., P. B. Keating, and M. B. D. Hueste. 2000. Cracking in RC bent caps.. College Station, TX: Texas Transportation Institute.
Calvi, P. M., E. C. Bentz, and M. P. Collins. 2018a. “Model for assessment of cracked reinforced concrete membrane elements subjected to shear and axial loads.” ACI Struct. J. 115 (2): 501–509. https://doi.org/10.14359/51701093.
Calvi, P. M., G. T. Proestos, and D. M. Ruggiero. 2018b. “Towards the development of direct crack-based assessment of structures.” In SP-328: Shear in structural concrete, edited by D. Mitchell and A. Belarbi, 9.1–9.20. Salt Lake City, UT: American Concrete Institute.
CEB-FIP (Comité européen du béton-Fédération Internationale de la Précontrainte). 1978. Model code for concrete structures. 3rd ed. Paris: CEB-FIP.
CEB-FIP (Comité européen du béton-Fédération Internationale de la Précontrainte). 1993. CEB-FIP model code 1990: Design code. London: T. Telford.
CEN (European Committee for Standardization). 1992. Design of concrete structures. Part 1: General rules and rules for buildings. Eurocode 2. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2004. Design of concrete structures. Part 1-1: General rules and rules for buildings. Eurocode 2. Brussels, Belgium: CEN.
Collins, M. P., D. Mitchell, P. Adebar, and F. J. Vecchio. 1996. “A general shear design method.” ACI Struct. J. 93 (1): 36–45. https://doi.org/10.14359/9838.
CSA (Canadian Standards Association). 2014. Design of concrete structures. 6th ed. Toronto: CSA Group.
Davoudi, R., G. R. Miller, and J. N. Kutz. 2018. “Data-driven vision-based inspection for reinforced concrete beams and slabs: Quantitative damage and load estimation.” Autom. Const. 96 (Dec): 292–309. https://doi.org/10.1016/j.autcon.2018.09.024.
Deluce, J. R., S.-C. Lee, and F. J. Vecchio. 2014. “Crack model for steel fiber-reinforced concrete members containing conventional reinforcement.” ACI Struct. J. 111 (1): 93–102. https://doi.org/10.14359/51686433.
De Silva, S., H. Mutsuyoshi, and E. Witchukreangkrai. 2008. “Evaluation of shear crack width in I-shaped prestressed reinforced concrete beams.” J. Adv. Concr. Technol. 6 (3): 443–458. https://doi.org/10.3151/jact.6.443.
Ebrahimkhanlou, A., A. Athanasiou, T. D. Hrynyk, O. Bayrak, and S. Salamone. 2019. “Fractal and multifractal analysis of crack patterns in prestressed concrete girders.” J. Bridge Eng. 24 (7): 04019059. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001427.
Ebrahimkhanlou, A., A. Farhidzadeh, and S. Salamone. 2016. “Multifractal analysis of crack patterns in reinforced concrete shear walls.” Struct. Health Monit. 15 (1): 81–92. https://doi.org/10.1177/1475921715624502.
Farhidzadeh, A., E. Dehghan-Niri, A. Moustafa, S. Salamone, and A. Whittaker. 2013. “Damage assessment of reinforced concrete structures using fractal analysis of residual crack patterns.” Exp. Mech. 53 (9): 1607–1619. https://doi.org/10.1007/s11340-013-9769-7.
FHWA (Federal Highway Administration). 1995. Recording and coding guide for the structure inventory and appraisal of the nation’s bridges.. Washington, DC: FHWA.
FHWA (Federal Highway Administration). 2019. “2017—Download NBI ASCII files—National Bridge Inventory—Bridge Inspection—Safety—Bridges & Structures—Federal Highway Administration.” Accessed February 13, 2019. https://www.fhwa.dot.gov/bridge/nbi/ascii2017.cfm.
fib (Fédération internationale du béton). 2013. fib model code for concrete structures 2010. 1st ed. Berlin: Ernst & Sohn. https://doi.org/10.1002/9783433604090.
Frantz, G. C., and J. E. Breen. 1980. “Cracking on the side faces of large reinforced concrete beams.” ACI J. 77 (5): 307–313. https://doi.org/10.14359/7007.
Hillerborg, A., M. Modéer, and P.-E. Petersson. 1976. “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cem. Concr. Res. 6 (6): 773–782. https://doi.org/10.1016/0008-8846(76)90007-7.
IAEA (International Atomic Energy Agency). 2002. Guidebook on non-destructive testing of concrete structures. Vienna, Austria: IAEA.
Kabir, S., P. Rivard, D.-C. He, and P. Thivierge. 2009. “Damage assessment for concrete structure using image processing techniques on acoustic borehole imagery.” Constr. Build. Mater. 23 (10): 3166–3174. https://doi.org/10.1016/j.conbuildmat.2009.06.013.
Lantsoght, E. O. L., C. van der Veen, J. C. Walraven, and A. de Boer. 2016. “Case study on aggregate interlock capacity for the shear assessment of cracked reinforced-concrete bridge cross sections.” J. Bridge Eng. 21 (5): 04016004. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000847.
Larson, N., E. F. Gomez, D. Garber, O. Bayrak, and W. Ghannoum. 2013. Strength and serviceability design of reinforced concrete inverted-T beams.. Austin, TX: Center for Transportation Research.
Lee, J.-Y., S.-W. Kim, and M. Y. Mansour. 2011. “Nonlinear analysis of shear-critical reinforced concrete beams using fixed angle theory.” J. Struct. Eng. 137 (10): 1017–1029. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000345.
Lee, J.-Y., D. H. Lee, J.-E. Lee, and S.-H. Choi. 2015. “Shear behavior and diagonal crack width for reinforced concrete beams with high-strength shear reinforcement.” ACI Struct. J. 112 (3): 323–333. https://doi.org/10.14359/51687422.
Li, B., and K. Maekawa. 1987. “Contact density model for cracks in concrete.” In Computational mechanics of concrete structures—Advances and applications, 51–62. Delft, Netherlands: International Association for Bridge and Structural Engineering.
Mau, S. T., and T. T. C. Hsu. 1987. “Shear strength prediction for deep beams with web reinforcement.” ACI Struct. J. 84 (6): 513–523. https://doi.org/10.14359/2739.
Pang, X. 1991. “Constitutive laws of reinforced concrete in shear.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of Houston.
Sain, T., and J. M. C. Kishen. 2007. “Prediction of fatigue strength in plain and reinforced concrete beams.” ACI Struct. J. 104 (5): 621–628. https://doi.org/10.14359/18864.
Schlaich, J., K. Schafer, and M. Jennewein. 1987. “Toward a consistent design of structural concrete.” PCI J. 32 (3): 74–150. https://doi.org/10.15554/pcij.05011987.74.150.
Sherwood, E. G. 2005. “One-way shear behaviour of large, lightly-reinforced concrete beams and slabs.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Toronto.
Susetyo, J. 2009. “Fibre reinforcement for shrinkage crack control in prestressed, precast segmental bridges.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Toronto.
Talley, K. G., J. Arrellaga, and J. E. Breen. 2014. “Computational modeling of existing damage in concrete bridge columns.” J. Struct. Eng. 140 (12): 06014006. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001115.
Uzel, A. 2003. “Shear design of large footings.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Toronto.
Vecchio, F. J. 2000. “Disturbed stress field model for reinforced concrete: Formulation.” J. Struct. Eng. 126 (9): 1070–1077. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:9(1070).
Vecchio, F. J., and M. P. Collins. 1986. “The modified compression-field theory for reinforced concrete elements subjected to shear.” ACI J. 83 (2): 219–231. https://doi.org/10.14359/10416.
Vecchio, F. J., and M. P. Collins. 1993. “Compression response of cracked reinforced concrete.” J. Struct. Eng. 119 (12): 3590–3610. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:12(3590).
Wang, J., Z. Shi, and M. Nakano. 2013. “Strength degradation analysis of an aging RC girder bridge using FE crack analysis and simple capacity-evaluation equations.” Eng. Fract. Mech. 108 (Aug): 209–221. https://doi.org/10.1016/j.engfracmech.2013.04.011.
Wong, P. S., F. J. Vecchio, and H. Trommels. 2013. VecTor2 & FormWorks user’s manual. Toronto: Univ. of Toronto.
Yoon, Y.-S., W. D. Cook, and D. Mitchell. 1996. “Minimum shear reinforcement in normal, medium, and high-strength concrete beams.” ACI Struct. J. 93 (5): 576–584. https://doi.org/10.14359/9716.
Zaborac, J., A. Athanasiou, S. Salamone, O. Bayrak, and T. Hrynyk. 2019a. Evaluation of structural cracking in concrete.. Austin, TX: Center for Transportation Research.
Zaborac, J., A. Athanasiou, S. Salamone, O. Bayrak, and T. Hrynyk. 2019b. “Toward crack-based assessment of reinforced concrete infrastructure.” In Concrete—Innovations in materials, design and structures, 1186–1193. Kraków, Poland: Fédération internationale du béton.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 146Issue 4April 2020

History

Received: Apr 11, 2019
Accepted: Sep 3, 2019
Published online: Jan 23, 2020
Published in print: Apr 1, 2020
Discussion open until: Jun 23, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Graduate Student, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin, Austin, TX 78712 (corresponding author). ORCID: https://orcid.org/0000-0003-2573-5102. Email: [email protected]
Graduate Student, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin, Austin, TX 78712. ORCID: https://orcid.org/0000-0002-4523-9766. Email: [email protected]
Salvatore Salamone, M.ASCE [email protected]
Associate Professor, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin, Austin, TX 78712. Email: [email protected]
Oguzhan Bayrak, M.ASCE [email protected]
Professor, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin, Austin, TX 78712. Email: [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Waterloo, Waterloo, ON, Canada N2L 3G1. ORCID: https://orcid.org/0000-0003-4002-8975. 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

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