Skip to content
BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access January 20, 2015

Curved composite beam with interlayer slip loaded by radial load

  • István Ecsedi and Ákos József Lengyel


Elastic two-layer curved composite beam with partial shear interaction is considered. It is assumed that each curved layer separately follows the Euler-Bernoulli hypothesis and the load slip relation for the flexible shear connection is a linear relationship. The curved composite beam at one of the end cross sections is fixed and the other end cross section is subjected by a concentrated radial load. Two cases are considered. In the first case the loaded end cross section is closed by a rigid plate and in the second case the radial load is applied immediately to it. The paper gives solutions for radial displacements, slips and stresses. The presented examples can be used as benchmark for the other types of solutions as given in this study.


[1] Granholm H., On composite beams and columns with special regard to nailed timber structures, Trans. No. 88. Cholmers University of Technology, Goetborg, Sweden (in Swedish), 1949 Search in Google Scholar

[2] Pleskov P.F., Theoretical studies of composite wood structures, Soviet Union (in Russian), 1952 Search in Google Scholar

[3] Stüssi F., Zusammengesetzte Vollwandträger (Composed Beams), International Association for Bridge and Structural Engineering (IABSE), 1947, 8, 249-269 Search in Google Scholar

[4] Newmark N.M., Siess C.P., Viest I.M., Test and analysis of composite beam with incomplete interaction, Proceedings of the Society for Experimental Stress Analysis, 1951, 9, 75-92 Search in Google Scholar

[5] Girhammar U.A., Gopu V.K.A., Composite beam-columns with interlayer-slip – Exact analysis, ASCE Journal of Structural Engineering, 1993, 119(4), 1265-1282 10.1061/(ASCE)0733-9445(1993)119:4(1265)Search in Google Scholar

[6] Planinc I., Schnabl S., Saje M., Lopatič J., Čas B., Numerical and experimetnal analysis of timber composite beams with interlayer slip, Engineering Structures, 2009, 30, 2959-2969 10.1016/j.engstruct.2008.03.007Search in Google Scholar

[7] Girhammar U.A., Pan D.H., Exact static analysis of partially composite beams and beam-columns, International Journal of Mechanical Sciences, 2007, 49(2), 239-255 10.1016/j.ijmecsci.2006.07.005Search in Google Scholar

[8] Goodman J.R., Popov E.P., Layered beam systems with interlayer slip, Journal of Structures, Division–ASCE,1968, 94(11), 2537-2547 10.1061/JSDEAG.0002116Search in Google Scholar

[9] Goodman J.R., Popov E.P., Layered beam systems with interlayer slip, Wood Science, 1969, 1(3), 148-158 Search in Google Scholar

[10] Ecsedi I., Dluhi K., A linear model for static and dynamic analysis of nonhomogeneous curved beams, Applied Mathematical Modelling, 2005, 29, 1211-1231 10.1016/j.apm.2005.03.006Search in Google Scholar

[11] Sokolnikoff I.S., Mathematical Theory of Elasticity, McGraw- Hill, New York, 1956 Search in Google Scholar

[12] Thomson F., Goodman, I., Vanderbilt, M., Finite element analysis of layered wood system. Journal of Structural Engineering, 1975, 101(12), 2659-2672 10.1061/JSDEAG.0004240Search in Google Scholar

[13] Girhammar, U. A., A simplified analysis method for composite beams with interlayer slip. International Journal of Mechanical Sciences, 2009, 51(7), 515-530. 10.1016/j.ijmecsci.2009.05.003Search in Google Scholar

[14] Ranzi G., Bradford M., Uy B., A direct stiffness analysis of composite beam with partial interaction. Int. Journ. Num. Methods of Engineering, 2004. 61(5), 657-672. 10.1002/nme.1091Search in Google Scholar

[15] Schnabl S., Saje M., Turk G., Planic I., Locking free two-layer Timoshenko beam element with interlayer slip, 2007, 43(39), 705-714 10.1016/j.finel.2007.03.002Search in Google Scholar

[16] Saje M., Cas B., planic I., Non-linear finite element analysis of composite planar frames with interlayer slip, Comp. Structures, 2004, 82(23-26), 1901-1912 10.1016/j.compstruc.2004.03.070Search in Google Scholar

[17] Liu X., Erkmen R.E Bradford M.A.,Creep and shrinkage composite beams including the effects of partial interaction, Paper 154, Proceedings of the Eleventh International Conference on Computational Structures Technology, B.H.V. Topping, (Editor), Civil-Comp Press, Stirlingshire, Scotland Civil-Comp Press, 2012 Search in Google Scholar

[18] Tan E.L., B. Uy B., Nonlinear analysis of composite beams subjected to combined flexure and torsion, Journal of Constructional Steel Research 2011, 67, 790–799 10.1016/j.jcsr.2010.12.015Search in Google Scholar

[19] Erkmen R.E, Mark A. Bradford M.A., Nonlinear elastic analysis of composite beams curved in-plan, Engineering Structures, 2009, 31, 1613-1624 10.1016/j.engstruct.2009.02.016Search in Google Scholar

Received: 2014-9-23
Accepted: 2014-11-24
Published Online: 2015-1-20

©2015 I. Ecsedi, Á. J. Lengyel

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Downloaded on 22.2.2024 from
Scroll to top button