[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2010.34.6.667

Analytical solution of two-layer beam including interlayer slip and uplift

Kroflic, Ales (University of Ljubljana, Faculty of Civil and Geodetic Engineering)
Planinc, Igor (University of Ljubljana, Faculty of Civil and Geodetic Engineering)
Saje, Miran (University of Ljubljana, Faculty of Civil and Geodetic Engineering)
Cas, Bojan (University of Ljubljana, Faculty of Civil and Geodetic Engineering)

Publication Information

Structural Engineering and Mechanics / v.34, no.6, 2010 , pp. 667-683 More about this Journal

Abstract

A mathematical model and its analytic solution for the analysis of stress-strain state of a linear elastic two-layer beam is presented. The model considers both slip and uplift at the interface. The solution is employed in assessing the effects of transverse and shear contact stiffnesses and the thickness of the interface layer on behaviour of nailed, two-layer timber beams. The analysis shows that the transverse contact stiffness and the thickness of the interface layer have only a minor influence on the stress-strain state in the beam and can safely be neglected in a serviceability limit state design.

Keywords

composite beam; slip; uplift; analytical solution; elasticity; parametric study;

Citations & Related Records

Times Cited By KSCI : 4 (Citation Analysis)
Times Cited By Web Of Science : 3 (Related Records In Web of Science)
Times Cited By SCOPUS : 7

1	Cas, B., Saje, M. and Planinc, I. (2004a), "Non-linear finite element analysis of composite planar beams with an interlayer slip", Comput. Struct., 82, 1901-1912. DOI ScienceOn
2	Cas, B., Saje, M., Bratina, S. and Planinc, I. (2004b), "Non-linear analysis of composite steel-concrete beams with incomplete interaction", Steel Compos. Struct., 4(6), 489-507. DOI
3	Deo, S.G. and Ragmavendra, V. (1994), Ordinary Differential Equations and Stability Theory, 8th Edition, Tata McGraw-Hill Publishing Company Limited, New Delhi.
4	Adekola, A.O. (1968), "Partial interaction between elastically connected elements of a composite beam", Int. J. Solids Struct., 4(11), 1125-1135. DOI ScienceOn
5	Ayoub, A. (2005), "A force-based model for composite steel-concrete beams with partial interaction", J. Constr. Steel Res., 61(3), 387-414. DOI ScienceOn
6	Betti, R. and Gjelsvik, A. (1996), "Elastic composite beams", Comput. Struct., 59(3), 437-451. DOI ScienceOn
7	Planinc, I., Schnabl, S., Saje, M., Lopati , J. and as, B. (2008), "Numerical and experimental analysis of timber composite beams with interlayer slip", Eng. Struct., 30 (11), 2959-2969. DOI ScienceOn
8	Pleshkov, P.F. (1952), "Theoretical studies of composite wood structures", Soviet Union (In Russian).
9	Rahimi, H. and Hutchinson, A. (2001), "Concrete beams strengthened with externally bonded FRP plates", J. Compos. Constr., 5(1), 44-56. DOI ScienceOn
10	Eurocode 5 (2004), "Design of composite steel and concrete structures - Part 1-1: General rules and rules for buildings", European Committee for Standardization.
11	Fabbrocino, G., Manfredi, G. and Cosenza, E. (1999), "Non-linear analysis of composite beams under positive bending", Comput. Struct., 70, 77-89. DOI ScienceOn
12	Fabbrocino, G., Manfredi, G. and Cosenza, E. (2000), "Analysis of continuous composite beams including partial interaction and bond", J. Struct. Eng-ASCE, 126(11), 1288-1294. DOI ScienceOn
13	Gara, F., Ranzi, G. and Leoni, G. (2006), "Displacement-based formulations for composite beams with longitudinal slip and vertical uplift", Int. J. Numer. Meth. Eng., 65(8), 1197-1220. DOI ScienceOn
14	Gattesco, N. (1999), "Analytical modeling of nonlinear behavior of composite beams with deformable connection", J. Constr. Steel Res., 52, 195-218. DOI ScienceOn
15	Girhammar, U.A. and Gopu, V.K.A. (1993), "Composite beam-columns with interlayer slip-exact analysis", J. Struct. Eng-ASCE, 119(4), 1265-1282. DOI ScienceOn
16	Girhammar, U.A. and Pan, D.H. (2007), "Exact static analysis of partially composite beams and beam-columns", Int. J. Mech. Sci., 49(2), 239-255. DOI ScienceOn
17	Hirst, M.J.S. and Yeo, M.Y. (1980), "The analysis of composite beams using standard finite element programs", Comput. Struct., 31(1-2), 155-168.
18	Seracino, R., Oehlers, D.J. and Yeo, M.F. (2001), "Partial-ineraction flexural stresses in composite steel and concrete bridge beams", Eng. Struct., 23, 1186-1193. DOI ScienceOn
19	Stussi, F. (1947), "Zusammengesetze Vollwandtrager", International Association for Bridge and Structural Engineering (IABSE), 8, 249-269.
20	Granholm, H. (1949), "On composite beams and columns with special regard to nailed timber structures", Trans. No. 88, Chalmers University of Technology, Goeteborg, Sweden (In Swedish).
21	Koc, P. and Sok, B. (2004), "Computer-aided identification of the yield curve of a sheet metal after onset of necking", Comput. Mater. Sci., 11(3), 233-237.
22	Manfredi, G., Fabbrocino, G. and Cosenza, E. (1999), "Modeling of steel-concrete composite beams under negative bending", J. Eng. Mech-ASCE, 125(6), 654-662. DOI ScienceOn
23	Milner, H.R. and Tan, H.H. (2001), "Modelling deformation in nailed, thin-webbed timber box beams", Comput. Struct., 79, 2541-2546. DOI ScienceOn
24	Newmark, N.M., Seiss, C.P. and Viest, I.M. (1951), "Tests and analysis of composite beams with incomplete interaction", Proc. Soc. Exp. Stress Anal., 9(1), 75-92.
25	Nguyen, D.M., Chan, T.K. and Cheong, H.K. (2001), "Brittle failure and bond development length of CFRPconcrete beams", J. Compos. Constr., 5(1), 12-17. DOI ScienceOn
26	Oehlers, D.J., Nguyen, N.T., Ahmed, M. and Bradford, M.A. (1997), "Transverse and longitudinal interaction in composite bolted side-plated reinforced-concrete beams", Struct. Eng. Mech., 5(5), 553-563. DOI
27	Pendhari, S.S., Kant, T. and Desai, Y.M. (2006), "Nonlinear analysis of reinforced concrete beams strengthened with polymer composites", Struct. Eng. Mech., 1(1), 1-18.
28	Sun, F.F. and Bursi, O.S. (2005), "Displacement-based and two-field mixed variational formulations for composite beams with shear lag", J. Eng. Mech-ASCE, 131(2), 199-210. DOI ScienceOn
29	Nie, J. and Cai, C.S. (2003), "Steel-concrete composite beams considering shear slip effects", J. Struct. Eng-ASCE, 129, 495-506. DOI ScienceOn
30	Schnabl, S., Saje, M., Turk, G.. and Planinc, I. (2007b), "Analytical solution of two-layer beam taking into account interlayer slip and shear deformation", J. Struct. Eng-ASCE, 133(6), 886-894. DOI ScienceOn
31	Suzuki, H. and Chang, T.P. (1979), "Bending of laminated cantilever beams with interlayer slip", J. Struct. Div., ASCE, 105 (2), 269-281.
32	Thompson, E.G., Googman, J.R. and Vanderbilt, M.D. (1975), "Finite element analysis of layered wood systems", J. Struct. Div., Proc. ASCE, 101(12), 2659-2672.
33	Van Der Linden, M.L.R. (1999), "Timber-concrete composite beams", HERON, 44(3), 215-239.
34	Wolfram Research Inc. (2005), Mathematica, Champaign, USA.
35	Viest, I.M. (1960), "Review of research on composite steel-concrete beams", J. Struct. Div. ASCE, 86(6), 1-21.
36	Wang, Y.C. (1998), "Deflection of steel-concrete composite beams with partial shear interaction", J. Struct. Eng-ASCE, 124(10), 1159-1165. DOI ScienceOn
37	Wheat, D.L. and Calixto, J.M. (1994), "Nonlinear analysis of two-layered wood members with interlayer slip", J. Struct. Eng-ASCE, 120(6), 1909-1929. DOI ScienceOn
38	Ranzi, G. and Bradford, M.A. (2007), "Direct stiffness analysis of a composite beam-column element with partial interaction", Comput. Struct., 85(15-16), 1206-1214. DOI ScienceOn
39	Xu, R.Q. and Wu, Y.F. (2007), "Two-dimensional analytical solutions of simply supported composite beams with interlayer slips", Int. J. Solids Struct., 44(1), 165-175. DOI ScienceOn
40	Ranzi, G., Bradford, M.A. and Uy, B. (2003), "A general method of analysis of composite beams with partial interaction", Steel Compos. Struct., 3(3), 169-184. DOI
41	Rasheed, H.A. and Pervaiz, S. (2002), "Bond slip analysis of fiber-reinforced polymer-strengthened beams", J. Eng. Mech-ASCE, 128 (1), 78-86. DOI ScienceOn
42	Salari, M.R. and Spacone, E. (2001), "Analysis of steel-concrete composite frames with bond-slip", J. Struct. Eng-ASCE, 127 (11), 1243-1250. DOI ScienceOn
43	Rassam, H.Y. and Goodman, J.R. (1970), "Buckling behavior of layered wood columns", Wood Sci., 2(4), 238-246.
44	Robinson, H. and Naraine, K.S. (1988), "Slip and uplift effects in composite beams", Proceedings of an Engineering Foundation Conference ASCE, New England College, Henniker, New Hampshire.
45	Salari, R., Spacone, E., Shing, P.B. and Frangopol, D.M. (1998), "Nonlinear analysis of composite beams with deformable shear connectors", J. Struct. Eng-ASCE, 124(10), 1148-1158. DOI ScienceOn
46	Schnabl, S., Planinc, I., Saje, M., as, B. and Turk, G. (2006), "An analytical model of layered continuous beams with partial interaction", Struct. Eng. Mech., 22(3), 263-278. DOI
47	Schnabl, S., Saje, M., Turk, G.. and Planinc, I. (2007a), "Locking-free two-layer Timoshenko beam element with interlayer slip", Finite Elem. Anal. Des., 43(9), 705-714. DOI ScienceOn

8	Simon Schnabl. (2013) Journal of Engineering Mechanics Buckling Loads of Two-Layer Composite Columns with Interlayer Slip and Stochastic Material Properties / 139 (8) , 961
	João Batista M. Sousa Jr. (2013) Computers & Structures Exact finite elements for multilayered composite beam-columns with partial interaction / 123 , 48
8	Noel Challamel. (2011) Engineering Structures Variationally-based theories for buckling of partial composite beam–columns including shear and axial effects / 33 (8) , 2297
	A. Krofli？. (2011) Computers & Structures Non-linear analysis of two-layer beams with interlayer slip and uplift /
22	Jerneja Kolšek. (2013) Journal of Composite Materials Analytical solution of linear elastic beams cracked in flexure and strengthened with side plates / 47 (22) , 2847
5	Francesca Campi. (2013) International Journal of Solids and Structures Analytical solutions of two-layer beams with interlayer slip and bi-linear interface law / 50 (5) , 687
3	Zhongming Hou. (2015) Steel and Composite Structures Dynamic analysis and model test on steel-concrete composite beams under moving loads / 18 (3) , 565
1	S. Schnabl. (2013) International Journal of Solids and Structures Exact buckling loads of two-layer composite Reissner’s columns with interlayer slip and uplift / 50 (1) , 30
6	Jerneja Kolsek. (2014) Steel and Composite Structures Non-linear analysis of side-plated RC beams considering longitudinal and transversal interlayer slips / 16 (6) , 559
2	Noel Challamel. (2011) Journal of Aerospace Engineering Boundary-Layer Effect in Composite Beams with Interlayer Slip / 24 (2) , 199
2	Leo ？kec. (2014) Acta Mechanica Analysis of a geometrically exact multi-layer beam with a rigid interlayer connection / 225 (2) , 523
None	(2010) Engineering structures Description of behaviour of timber-concrete composite beams including interlayer slip, uplift, and long-term effects: Formulation of the model and coefficient inverse problem / 194 (None) , 230
2041-3076	(2018) Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications Three-dimensional bimetallic layered beams with interface compliance: Analytical solution / (2041-3076) , 146442071880370
4	(2010) Structural engineering and mechanics : An international journal Analytical modelling of multilayer beams with compliant interfaces / 44 (4) , 465
None	(2018) Engineering structures Analytical solution of three-dimensional two-layer composite beam with interlayer slips / 173 (None) , 269

1	Analytical modelling of multilayer beams with compliant interfaces / [Skec, L.;Schnabl, S.;Planinc, I.;Jelenic, G.;] / Structural Engineering and Mechanics
2	Non-linear analysis of side-plated RC beams considering longitudinal and transversal interlayer slips / [Kolsek, Jerneja;Hozjan, Tomaz;Kroflic, Ales;Saje, Miran;Planinc, Igor;] / Steel and Composite Structures

1	/ Journal of Aerospace Engineering
2	/ Engineering Structures
3	/ Computers and Structures