An Analytical Solution for the Two-Layered Composite Beam-Column with Interlayer Slip and Constant Axial Load
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Copyright (c) 2023 István Ecsedi, Attila Baksa, Ákos József Lengyel, Dávid Gönczi
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Accepted 2023-01-30
Published 2023-09-29
Abstract
The authors present an analytical solution for the two-layered composite beams with imperfect shear connections. The considered beam is simply supported at both ends. The beam is subjected to transverse and axial loads. The kinematic assumptions of the Euler-Bernoulli beam theory are used. The connection of the beam components is perfect in normal direction, but the axial displacement field may have jump. The shear axial force derived from the imperfect connection is proportional to the relative slip occurring between the layers. The determination of the analytical solution is based on the Fourier method. Two examples illustrate the application of the presented analytical method.
References
- H. Granholn, On composite beams and columns with special regard to nail structures. Trans. No. 88. Chalmers University of Technology, Göteborg, Sweden, 1949 (in Sweden).
- N.M. Newmark, C.P. Siess, I.M. Wiest, Test and analysis of composite beams with incomplete interaction. Proceedings of the Society of Experimental Stress Analysis, Vol. 8, No. 1, pp. 75-92, 1951.
- P.F. Pleskov, Theoretical Studies of Wood Structures, Soviet Union, 1952 (in Russian).
- I. Ecsedi, A. Baksa, Static analysis of composite beams with weak shear connection. Appliead Mathematical Modelling, Vol. 35, No. 4, pp. 1739-1750, 2011.
- I. Ecsedi, A. Baksa, Analytical solution for layered composite beams with partial shear interaction based Timoshenko beam theory, Engineering Structures, Vol. 115, pp. 107-117, 2016.
- U.A. Girhammar, V.K. Gupta, Composite beam-columns with interlayer slip exact analysis, Journal of Structural Engineering, Vol. 119, No. 7, pp. 1265-1282, 1993.
- U.A. Girhammar, A simplified analysis method for composite beams with interlayer slip. International Journal of Mechanical Sciences, Vol. 51, No. 7, pp. 515-530, 2009.
- U.A. Girhammar, D. Pan, Exact static analysis of partially composite beams and beam columns. International Journal of Mechanical Sciences, Vol. 49, No. 2, pp. 239-255, 2007.
- A. Lengyel, I. Ecsedi, Elastic stability of columns with weak shear connection. In MultiScience XXVIII. microCAD International Multidisciplinary Scientific Conference, Miskolc, Hungary, University of Miskolc, Paper ID. D-37, 2014.
- J.R. Goodman, E. Popov, Layered wood system with interlayer slip, Wood Sciences, Vol. 1, pp. 148-158, 1969.
- Á.J. Lengyel, Dynamic analysis of composite beams with weak shear connection subjected to axial load. Journal of Computational and Applied Mechanics, Vol. 12, No. 1, pp 43-55, 2017.
- Á.J. Lengyel, I. Ecsedi, Static and dynamic analysis of composite beams with interlayer slip, Journal of Computational and Applied Mechanics, Vol. 10, No. 1, pp. 25-40, 2015.
- Á.J. Lengyel, I. Ecsedi, Second order analysis of composite beam-columns with interlayer slip. XXXII microCAD International Multidisciplinary Scientific Conference, Miskolc, Hungary, University of Miskolc, Paper ID D-1-5, 2018.
- Á.J. Lengyel, I. Ecsedi, A method to determine the deflections and internal forces in composite beams with weak shear connections. Multidiszciplináris Tudományok, A Miskolci Egyetem Közleményei, Vol. 3, No. 1, pp. 83-96, 2013. (in Hungarian).
- Á.J. Lengyel, I. Ecsedi, Computation of normal and shearing stresses in composite beams with weak shear interactions. GÉP, Vol. 65, No. 5, pp. 22-27, 2013 (in Hungarian).
- I. Ecsedi, K. Dluhi, Strength analysis of layered composite beams with imperfect shear connections. GÉP, Vol. 55, No. 10-11, pp. 44-47, 2004.
- Á.J. Lengyel, I. Ecsedi, An analytical solution for two layered composite beams with imperfect shear interaction. International Review of Mechanical Engineering (I.R.E.M.E.), Vol. 10, No. 7, pp. 508-517, 2016.
- I.S. Sokolnikoff, Mathematical Theory of Elasticity, McGraw-Hill, New York, 2nd Edition, 1970.
- W.S. Slaugther, The Linearized Theory of Elasticity, Birkhauser, Basel, 2002.