TECHNICAL PAPERS
Mar 19, 2009

Analytical Solution of Two-Layer Beam Taking into Account Nonlinear Interlayer Slip

Publication: Journal of Engineering Mechanics
Volume 135, Issue 10

Abstract

This paper presents a fully developed nonlinear analytical (exact) model for analyzing composite beams under transverse bending load. The model reproduces the elements responsible for the relative slip between the layers (shear connectors and interface) with an elastoplastic strain-softening interlayer. Further than the slip, the model predicts stresses due to a given load and ultimate load for debonding of bilayered composite beams. All the details on the mathematical development are presented. This paper advances the state of the art, since the last development available in literature is an analytical (nonexact) linear model. A number of parametric studies are conducted to evaluate the influence of various geometrical and material parameters, the main results of which are presented together with the interpretation, e.g., the dependence of load-carrying capacity, stresses, and deflection on the local nonlinear load-slip relationship. The research proves as well that the shear connection lower and upper bounds (respectively, totally flexible and infinite rigid shear connectors) do not imply any lower and upper bound for the response.

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References

Abdullah, R., and Easterling, W. S. (2007). “Determination of composite slab strength using a new elemental test method.” J. Struct. Eng., 133(9), 1268–1277.
American Institute of Steel Construction (AISC). (1997). Seismic provisions for structural steel buildings, Document, LRFD, Chicago.
American Institute of Steel Construction (AISC). (2001). Load and resistance factor design specification for structural steel buildings, Manual, LRFD, Chicago.
Arda, T. S., and Mengene, N. (1995). “Strength of composite beams with web concrete under negative bending.” J. Struct. Eng., 121(8), 1170–1174.
Ayoub, A., and Filippou, F. (2000). “Mixed formulation of nonlinear steel-concrete composite beam element.” J. Struct. Eng., 126(3), 371–381.
Bažant, Z. P., and Vítek, J. L. (1999a). “Compound size effect in composite beams with softening connectors. I: Energy approach.” J. Eng. Mech., 125(11), 1308–1314.
Bažant, Z. P., and Vítek, J. L. (1999b). “Compound size effect in composite beams with softening connectors. II: Differential equation and behavior.” J. Eng. Mech., 125(11), 1315–1322.
Bradford, M. A., and Gilbert, R. I. (1992). “Composite beams with partial interaction under sustained loads.” J. Struct. Eng., 118(7), 1871–1883.
Building Seismic Safety Council. (1997). “NEHRP Recommended provisions for seismic regulations for new buildings and other structures.” FEMA 302, Washington, D.C.
Bullo, S., and Di Marco, R. (2004). “A simplified method for assessing the ductile behaviour of stud connectors in composite beams with high strength.” J. Constr. Steel Res., 60(9), 1387–1408.
Bullo, S., Di Marco, R., and Foraboschi, P. (1996). “Stud shear connector behavior: Experimental analysis and numerical modeling.” Composite structures, E. Cosenza, ed., CUEN, Naples, Italy, 87–101.
Clouston, P., Bathon, L. A., and Schreyer, A. (2005). “Shear and bending performance of a novel wood–concrete composite system.” J. Struct. Eng., 131(9), 1404–1412.
Cosenza, E., and Pecce, M. (2001). “Shear and normal stresses interaction in coupled structural systems.” J. Struct. Eng., 127(1), 84–88.
Dall’Asta, A., and Zona, A. (2004a). “Slip locking in finite elements for composite beams with deformable shear connection.” Finite Elem. Anal. Design, 40(13–14), 1907–1930.
Dall’Asta, A., and Zona, A. (2004b). “Three-field mixed formulation for the non-linear analysis of composite beams with deformable shear connection.” Finite Elem. Anal. Design, 40(4), 425–448.
Dezi, L., Ianni, C., and Tarantino, A. M. (1993). “Simplified creep analysis of composite beams with flexible connectors.” J. Struct. Eng., 119(5), 1484–1497.
Dezi, L., Leoni, G., and Tarantino, A. M. (1996). “Algebraic methods for creep analysis of continuous composite beams.” J. Struct. Eng., 122(4), 423–430.
Di Sarno, L., Pecce, M. R., and Fabbrocino, G. (2007). “Inelastic response of composite steel and concrete base column connections.” J. Constr. Steel Res., 63(6), 819–832.
Eligehausen, R., Bouška, P., Červenka, V., and Pukl, R. (1992). “Size effect of the concrete cone failure load of anchor bolts.” Proc., Fracture Mech. of Concrete Struct., 1st Int. Conf., Z. P. Bažant, ed., Elsevier Science, London, 517–525.
Eurocode 4. (1995). “Design of composite steel and concrete structures.” UNI-ENV 1994-1-1, European Committee for Standardisation (CEN).
Fabbrocino, G., Manfredi, G., and Cosenza, E. (2000). “Analysis of continuous composite beams including partial interaction and bond.” J. Struct. Eng., 126(11), 1288–1294.
Fabbrocino, G., Manfredi, G., and Cosenza, E. (2002). “Modelling of continuous steel-concrete composite beams: Computational aspects.” Comput. Struct., 80, 2241–2251.
Faella, C., Martinelli, E., and Nigro, E. (2003). “Shear connection nonlinearity and deflections of steel–concrete composite beams: A simplified method.” J. Struct. Eng., 129(1), 12–20.
Federal Emergency Management Agency. (2000). “Prestandard and commentary for the seismic rehabilitation of buildings.” FEMA-356, Building Seismic Safety Council, Washington, D.C.
Fragiacomo, M., and Ceccotti, A. (2006). “Long-term behavior of timber-concrete composite beams. I: Finite element modeling and validation.” J. Struct. Eng., 132(1), 13–22.
Gattesco, N., Giuriani, E., and Gubana, A. (1997). “Low-cycle fatigue test on stud shear connectors.” J. Struct. Eng., 123(2), 145–150.
Jasim, N. A., and Atalla, A. (1999). “Deflections of partially composite continuous beams: A simple approach.” J. Constr. Steel Res., 49, 291–301.
Jin, Z. -H., and Sun, C. T. (2005). “Cohesive zone modeling of interface fracture in elastic bi-materials.” Eng. Fract. Mech., 72(12), 1805–1817.
Johnson, R. P., and Molenstra, IR. N. (1991). “Partial shear connection in composite beams for buildings.” Proc.- Inst. Civ. Eng., 91(2), 679–704.
Jurkiewiez, B., and Braymand, S. (2007). “Experimental study of a pre-cracked steel-concrete composite beam.” J. Constr. Steel Res., 63(1), 135–144.
Jurkiewiez, B., and Hottier, J. M. (2005). “Static behaviour of a steel-concrete composite beam with an innovative horizontal connection.” J. Constr. Steel Res., 61(9), 1286–1300.
Kuhlmann, U., and Breuninger, U. (1998). “Zur Tragfähigkeit von horinzontaler liegenden Kopfbolzdübeln.” Der Stahlbau, 67(7), 547–550 (in German).
Lam, D., and Lobody, E. E. (2005). “Behavior of headed stud shear connectors in composite beam.” J. Struct. Eng., 131(1), 96–107.
Li, Y. N., and Liang, R. Y. (1992). “Stability theory of cohesive crack model.” J. Eng. Mech., 118(3), 587–603.
Liang, Q. Q., Uy, B., Bradford, M. A., and Ronagh, H. R. (2005). “Strength analysis of steel-concrete composite beams in combined bending and shear.” J. Struct. Eng., 131(10), 1593–1600.
Manfredi, G., Fabbrocino, G., and Cosenza, E. (1999). “Modeling of steel-concrete composite beams under negative bending.” J. Struct. Eng., 125(6), 654–662.
Monti, G., and Spacone, E. (2000). “Reinforced concrete fiber beam element with bond-slip.” J. Struct. Eng., 126(6), 654–661.
Nie, J., Xiao, Y., and Chen, L. (2004). “Experimental studies on shear strength of steel-concrete composite beams.” J. Struct. Eng., 130(8), 1206–1213.
Oehlers, D. J., and Bradford, M. (1995). Composite steel and concrete structural members: Fundamental behaviour, Pergamon, Oxford, U.K.
Oehlers, D. J., and Coughlan, C. G. (1986). “The shear stiffness of stud-shear connections in composite beams.” J. Constr. Steel Res., 6(4), 273–284.
Oehlers, D. J., and Park, S. M. (1994). “Shear connection in haunched composite beams with sloping sides.” J. Struct. Eng., 120(7), 2227–2232.
Oehlers, D. J., and Sved, G. (1995). “Composite beams with limited-slip capacity shear connectors.” J. Struct. Eng., 121(6), 932–938.
Park, K., Paulino, G. H., and Roesler, J. R. (2008). “Determination of the kink point in the bilinear softening model for concrete.” Eng. Fract. Mech., 75(13), 3806–3818.
Ranzi, G., Ansourian, P., Gara, F., Leoni, G., and Dezi, L. (2005). “Displacement-based formulations for composite beams with longitudinal slip and vertical uplift.” Research Rep. No. R837, Univ. of Sydney, Sydney, New South Wales, Australia.
Rehm, G., Elighehausen, R., and Mallée, R. (1992). Betonkalender-befestigungstechnik, Ernst und Sohn, Berlin (in German).
Roesler, J., Paulino, G. H., Parka, K., and Gaedicke, C. (2007). “Concrete fracture prediction using bilinear softening.” Cem. Concr. Compos., 29(4), 300–312.
Salari, M. R., and Spacone, E. (2001). “Analysis of steel-concrete composite frames with bond-slip.” J. Struct. Eng., 127(11), 1243–1250.
Salari, M. R., Spacone, E., Shing, P. B., and Frangopol, D. M. (1998). “Nonlinear analysis of composite beams with deformable shear connectors.” J. Struct. Eng., 124(10), 1148–1158.
Salvatore, W., Bursi, O. S., and Lucchesi, D. (2005). “Design, testing and analysis of high ductile partial-strength steel-concrete composite beam-to-column joints.” Comput. Struct., 83, 2334–2352.
Schnabl, S., Saje, M., Turk, G., and Planinc, I. (2007). “Analytical solution of two-layer beam taking into account interlayer slip and shear deformation.” J. Struct. Eng., 133(6), 886–894.
Seong, H. S., Paulino, G. H., and Buttlar, W. G. (2006a). “A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material.” Eng. Fract. Mech., 73(18), 2829–2848.
Seong, H. S., Paulino, G. H., and Buttlar, W. G. (2006b). “Simulation of crack propagation in asphalt concrete using an intrinsic cohesive zone model.” J. Eng. Mech., 132(11), 1215–1223.
Shah, K. R., Labuz, J. F., and Stolarski, H. K. (1994). “Effects of process zones on crack interactions.” J. Eng. Mech., 120(12), 2678–2693.
Spacone, E., and El-Tawil, S. (2004). “Nonlinear analysis of steel-concrete composite structures: State of the art.” J. Struct. Eng., 130(2), 159–168.
Wright, H. D., and Francis, R. W. (1990). “Tests on composite beams with low levels of shear connection.” Struct. Eng., 68(15/7), 293–298.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 135Issue 10October 2009
Pages: 1129 - 1146

History

Received: Jul 14, 2008
Accepted: Mar 17, 2009
Published online: Mar 19, 2009
Published in print: Oct 2009

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Paolo Foraboschi [email protected]
Professor, Dipartimento di Costruzione dell’Architettura, Univ. IUAV of Venice, ex Convento delle Terese, Dorsoduro 2206, 30123 Venice, Italy (corresponding author). E-mail: [email protected]

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