Calibration of Flexural Resistance Factors for Load and Resistance Factor Design of Concrete Bridge Girders Prestressed with Carbon Fiber–Reinforced Polymers
Publication: Journal of Composites for Construction
Volume 20, Issue 2
Abstract
In this research, the flexural resistance factors in the American Association of State Highway and Transportation Officials’ (AASHTO) load and resistance factor design (LRFD) format were calibrated for bridge girders that are prestressed with carbon fiber–reinforced polymers (CFRP). The underlying principle of LRFD is to achieve a uniform probability of failure (target reliability) for all possible design scenarios, which is realized through application of load and resistance factors. Calibration of resistance factors requires an extensive design space to be applicable to different design scenarios. For this purpose, 12 design cases with various girder span lengths, girder positions, girder spacing, roadway widths, and failure modes were considered. The load and resistance model random variables, their statistics, and flexural resistance model accuracy were obtained from material testing and literature. Existing load factors were used, and flexural resistance factors were derived using Monte Carlo simulation and a comparative reliability method for different target probabilities of failure for interior and exterior girders failing in tension and for interior girders failing in compression.
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References
AASHTO. (1994). “AASHTO LRFD bridge design specifications.” Washington, DC.
AASHTO. (2002). “AASHTO standard specification for highway bridges.” Washington, DC.
AASHTO. (2005). “AASHTO LRFD bridge design specifications.” Washington, DC.
AASHTO. (2012). “AASHTO LRFD bridge design specifications.” Washington, DC.
Abdelrahman, A. A., and Rizkalla, S. H. (1997). “Serviceability of concrete beams prestressed by carbon-fiber-reinforced-plastic bars.” ACI Struct. J., 94(4), 447–454.
Abdelrahman, A. A., and Rizkalla, S. H. (1999). “Deflection control of concrete beams pretensioned by CFRP reinforcements.” J. Compos. Constr., 55–62.
ACI (American Concrete Institute). (2011a). “Building code requirements for structural concrete (ACI 318-11) and commentary (ACI 318-11 R).” Farmington Hills, MI.
ACI (American Concrete Institute). (2011b). “Prestressing concrete structures with FRP tendons.” ACI 440.4 R-04, Farmington Hills, MI.
ACI (American Concrete Institute). (2012). “Guide test methods for fiber-reinforced polymer (FRP) composites for reinforcing or strengthening concrete and masonry structures.” ACI 440.3 R-12, Farmington Hills, MI.
ACI (American Concrete Institute). (2014). “Building code requirements for structural concrete (ACI 318-14) and commentary (ACI 318-14 R).” Farmington Hills, MI.
Allen, D. E. (1992). “Canadian highway bridge evaluation: Reliability index.” Can. J. Civ. Eng., 19(6), 987–991.
ASCE. (2010). “Minimum design loads for buildings and other structures.” ASCE 7-10, Reston, VA.
BridgeTech, Tennessee Technological University, Mertz, D. (2007). “Simplified live load distribution factor equations.”, National Cooperative Highway Research Program (NCHRP), Transportation Research Board (TRB), Washington, DC.
Burke, C. R., and Dolan, C. W. (2001). “Flexural design of prestressed concrete beams using FRP tendons.” PCI J., 46(2), 76–87.
CSA (Canadian Standards Association). (2006). “Canadian highway bridge design code.” CAN/CSA-S6-06, Mississauga, ON, Canada.
CSA (Canadian Standards Association). (2012). “Design and construction of building components with fibre-reinforced polymers.” CAN/CSA-S806-12, Mississauga, ON, Canada.
Der Kiureghian, A. (2005). “First- and second-order reliability methods.” Engineering design reliability handbook, E. Nikolaidis, D. M. Ghiocel, and S. Singhal, eds., CRC Press, Boca Raton, FL.
Dolan, C. W., and Swanson, D. (2002). “Development of flexural capacity of a FRP prestressed beam with vertically distributed tendons.” Composites Part B, 33(1), 1–6.
Du, X., Wang, Z., and Liu, J. (2011). “Flexural capacity of concrete beams prestressed with carbon fiber reinforced polymer (CFRP) tendons.” Adv. Mater. Res., 168–170, 1353–1362.
Enomoto, T., and Ushijima, K. (2012). “Use of CFCC tendons and reinforcements in concrete structures for durability.” Proc., 3rd Asia-Pacific Conf. on FRP in Structures, IIFC, Kingston, ON, Canada.
Fam, A., Rizkalla, S., and Tadros, G. (1997). “Behavior of CFRP for prestressing and shear reinforcements of concrete highway bridges.” ACI Struct. J., 94(1), 77–86.
Grace, N., Enomoto, T., Baah, P., and Bebawy, M. (2012). “Flexural behavior of CFRP precast prestressed decked bulb T-beams.” J. Compos. Constr., 225–234.
Grace, N. F., Enomoto, T., Sachidanandan, S., and Puravankara, S. (2006). “Use of CFRP/CFCC reinforcement in prestressed concrete box-beam bridges.” ACI Struct. J., 103(1), 123–132.
ISIS (Intelligent Sensing for Innovative Structures). (2008). “Prestressing concrete structures with fibre-reinforced polymers.” Canada Research Network, Winnipeg, MB, Canada.
Jo, B.-W., Tae, G.-H., and Kwon, B.-Y. (2004). “Ductility evaluation of prestressed concrete beams with CFRP tendons.” J. Reinf. Plast. Compos., 23(8), 843–859.
Kakizawa, T., Ohno, S., and Yonezawa, T. (1993). “Flexural behavior and energy absorption of carbon FRP reinforced concrete beams.” ACI Spec. Publ., 138, 585–598.
Melchers, R. E. (1999). Structural reliability analysis and prediction, Wiley, Chichester, U.K.
Mertol, H. C., Rizkalla, S., Scott, P., Lees, J. M., and El-Hacha, R. (2006). “Durability and fatigue behavior of high-strength concrete beams prestressed with CFRP bars.” American Concrete Institute (ACI), Farmington Hills, MI.
MoDOT(Missouri Department of Transportation). (2013). “Bridge standard drawings—Prestressed concrete I-girders.” 〈http://www.modot.org/business/standard_drawings2/psi_girders_new_title_block.htm〉 (Jan. 7, 2015).
Mutsuyoshi, H., Machida, A., and Shiratori, N. (1990). “Application of carbon fiber reinforced cables to concrete structures.” Proc., IABSE Symp., Mixed Structures Including New Materials, Vol. 60, IABSE-AIPC-IVBH, Zurich, Switzerland, 623–628.
NCHRP (National Cooperative Highway Research Program). (1998). “Development of comprehensive bridge specifications and commentary.”, Washington, DC.
Nowak, A., and Szersen, M. M. (2003). “Calibration of design code for buildings (ACI 318): Part 1—Statistical models for resistance.” ACI Struct. J., 100(3), 377–382.
Nowak, A. S. (1993). “Live load model for highway bridges.” Struct. Saf., 13(1–2), 53–66.
Nowak, A. S. (1999). “Calibration of LRFD bridge design code.”, Transportation Research Board (TRB), National Research Council (NRC), Washington, DC.
Okeil, A., Belarbi, A., and Kuchma, D. (2013). “Reliability assessment of FRP-strengthened concrete bridge girders in shear.” J. Compos. Constr., 91–100.
Park, S. Y., and Naaman, A. E. (1999). “Shear behavior of concrete beams prestressed with FRP tendons.” PCI J., 44(1), 74–85.
Shield, C. K., Galambos, T. V., and Gulbrandsen, P. (2011). “On the history and reliability of the flexural strength of FRP reinforced concrete members in ACI 440.1 R.” Proc., 10th Int. Symp. on Fiber-Reinforced Polymer Reinforcement for Concrete Structures, ACI, Farmington Hills, MI, 275, 1–18.
Stoll, F., Saliba, J. E., and Casper, L. E. (2000). “Experimental study of CFRP-prestressed high-strength concrete bridge beams.” Compos. Struct., 49(2), 191–200.
TxDOT (Texas Department of Transportation). (2014). “Bridge standards.” 〈http://www.dot.state.tx.us/insdtdot/orgchart/cmd/cserve/standard/bridge-e.htm〉 (Dec. 29, 2014).
Umoh, A. A., and Olusola, K. O. (2012). “Compressive strength and static modulus of elasticity of periwinkle shell ash blended cement concrete.” Int. J. Sustain. Constr. Eng. Technol., 3(2), 45–55.
WSDOT (Washington State Department of Transportation). (2015). “Bridge standard drawings.” 〈http://www.wsdot.wa.gov/Bridge/Structures/StandardDrawings.htm#W〉 (Jan. 7, 2015).
Zadeh, H. J., and Nanni, A. (2013). “Reliability analysis of concrete beams internally reinforced with fiber-reinforced polymer bars.” ACI Struct. J., 110(6), 1023–1032.
Zou, P. X. W. (2004). “Load-deflection response of high strength concrete beams pretensioned by carbon fibre reinforced polymers.” FRP Composites in Civil Engineering—CICE 2004, R. Seracino, ed., Taylor & Francis, London, 781–791.
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Published In
Journal of Composites for Construction
Volume 20 • Issue 2 • April 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jan 8, 2015
Accepted: Jul 6, 2015
Published online: Sep 7, 2015
Discussion open until: Feb 7, 2016
Published in print: Apr 1, 2016
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