Closed-Form Solutions for Flexural Response of Fiber-Reinforced Concrete Beams
Publication: Journal of Engineering Mechanics
Volume 133, Issue 8
Abstract
A constitutive law for fiber-reinforced concrete materials consisting of an elastic perfectly plastic model for compression and an elastic-constant postpeak response for tension is presented. The material parameters are described by using Young’s modulus and first cracking strain in addition to four nondimensional parameters to define postpeak tensile strength, compressive strength, and ultimate strain levels in tension and compression. The closed-form solutions for moment-curvature response are derived and normalized with respect to their values at the cracking moment. Further simplification of the moment-curvature response to a bilinear model, and the use of the moment-area method results in another set of closed-form solutions to calculate midspan deflection of a beam under three- and four-point bending tests. Model simulations are correlated with a variety of test results available in literature. The simulation of a three- and four-point bending test reveals that the direct use of uniaxial tensile response underpredicts the flexural response.
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Acknowledgments
The writers acknowledge the National Science Foundation; program 0324669-03 under Dr. P. Balaguru for supporting this project.
References
ACI Committee 318. (2002). “Building code requirements for structural concrete.” Rep. ACI 318-02, American Concrete Institute, Farmington Hills, Mich.
Barros, J. A. O., Cunha, V. M. C. F., Ribero, A. F., and Antunes, J. A. B. (2005). “Postcracking behavior of steel fibre reinforced concrete.” Mater. Struct., 38(275), 47–56.
Li, C. Y., and Mobasher, B. (1998). “Finite element simulations of toughening in cement based composites.” Adv. Cem. Based Mater., 7(3–4), 123–132.
Lim, T. Y., Paramasivam, P., and Lee, S. L. (1987a). “Analytical model for tensile behavior of steel-fiber concrete.” ACI Mater. J., 84(4), 286–551.
Lim, T. Y., Paramasivam, P., and Lee, S. L. (1987b). “Bending behavior of steel-fiber concrete beams.” ACI Struct. J., 84(6), 524–536.
Mobasher, B., and Li, C. Y. (1995). “Modeling of stiffness degradation of the interfacial zone during fiber debonding.” Composites Eng., 5(10–11), 1349–1365.
Mobasher, B., and Li, C. Y. (1996). “Mechanical properties of hybrid cement-based composites.” ACI Mater. J., 93(3), 284–293.
Mobasher, B., Pahilajani, J., and Peled, A. (2006). “Analytical simulation of tensile response of fabric reinforced cement based composites.” Cem. Concr. Compos., 28(1), 77–89.
Mobasher, B., and Shah, S. P. (1989). “Test parameters for evaluating toughness of glass fiber-reinforced concrete panels.” ACI Mater. J., 86(5), 448–458.
Naaman, A. E., and Reinhardt, H. W. (2006). “Proposed classification of HPFRC composites based on their tensile response.” Mater. Struct., 39(289), 547–555.
Parra-Montesinos, G. J. (2005). “High-performance fiber reinforced cement composites: A new alternative for seismic design of structures.” ACI Struct. J., 102(5), 668–675.
Priestley, M. J. N., Verma, R., and Xiao, Y. (1994). “Seismic shear strength of reinforced concrete columns.” J. Struct. Eng., 120(8), 2310–2329.
Salmon, C. G., and Johnson, J. E. (1990). Steel structures: Design and behavior, 3rd Ed., Harper and Row, New York.
Vandewalle, L., et al. (2000). “Test and design methods for steel fiber reinforced concrete—Recommendations for bending test.” Mater. Struct., 33(225), 3–5.
Vandewalle, L., et al. (2002). “Test and design methods for steel fibre reinforced concrete—Final recommendation.” Mater. Struct., 35(253), 579–582.
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© 2007 ASCE.
History
Received: Aug 30, 2006
Accepted: Feb 28, 2007
Published online: Aug 1, 2007
Published in print: Aug 2007
Notes
Note. Associate Editor: Christian Hellmich
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