Approximate Analysis Method for Composite Beams with Partial Interaction Using Fourier Series

다국어 초록 (Multilingual Abstract)

This paper presents an alternate analysis method for calculating the deflection and internal forces for arbitrary boundary and loading conditions of composite beams with partial interaction. The internal axial force was approximated by the Fourier series to solve the governing equation of composite beam. Then, the coefficients of the Fourier series were determined using the Euler-Lagrange equation of minimizing a definite integral. An evaluation of the convergence and the accuracy for the proposed method in the determination of the deflection for four types of boundary conditions with four types of loading cases was made.
The results were agreed with those obtained by other analytical methods. The displacement of the partial composite beam depends on the stiffness of shear connectors, boundary conditions and loading conditions.

참고문헌 (Reference)

1 Oden, J. T., "Variational methods in theoretical mechanics" Springer-Verlag 1976

2 Dezi, L., "Time dependent analysis of shear lag effect in composite beam" ASCE 127 (127): 71-79, 2001

3 Plum, D. R., "The analysis of continuous composite beams with partial interaction" 59 : 625-643, 1975

4 Newmark, N. M., "Test and analysis of composite beams with incomplete interaction" 9 : 75-92, 1951

5 Fabrizio Gara, "Short- and Long-term Analytical Solutions for Composite Beams with Partial Interaction and Shear-lag Effects" 한국강구조학회 10 (10): 359-372, 2010

6 Seracino, R., "Partial interaction stresses in continuous composite beams under serviceability loads" 60 (60): 1525-1543, 2004

7 Fabbrocino, G., "Modeling of continuous steel-concrete composite beams: Computational aspects" 80 : 2241-2251, 2002

8 Szabó, B., "Influence of shear connectors on the elastic behaviour of composite girders" Helsinki University of Technology publications in bridge engneering 2006

9 Girhammar, U. A., "Exact static analysis of partially composite beams and beamcolumns" 49 (49): 239-255, 2007

10 Jasim, N. A., "Deflection of composite beams with partial shear connection" 75 (75): 58-61, 1997

11 Jasim, N. A., "Computation of deflections for continuous composite beams with partial interaction" 122 : 347-354, 1997

12 Girhammar, U. A., "Compositebeam columns with interlayer slip - exact analysis" ASCE 119 (119): 1265-1282, 1993

13 Faham Tahmasebinia, "Beam Tests of Composite Steel-concrete Members: A Three-dimensional Finite Element Model" 한국강구조학회 12 (12): 37-45, 2012

14 Kim, S. H, "Approximate analysis of simply supported composite beams with partial interaction" 14 (14): 1197-1204, 2011

15 Ranzi, G., "Analytical solutions for the time-dependent behaviour of composite beams with partial interaction" 43 (43): 3770-3793, 2006

16 Ranzi, G., "Analytical solutions for the elevated-temperature behavior of composite beams with partial interaction" ASCE 133 (133): 788-799, 2007

17 Schnabl, S., "Analytic solution of two-layer beam taking into account interlayer slip and shear deformation" ASCE 133 (133): 886-894, 2007

18 Girhammar, U. A., "A simplified analysis method for composite beams with interlayer slip" 51 (51): 515-530, 2009

19 G. Ranzi, "A general method of analysis of composite beams with partial interaction" 국제구조공학회 3 (3): 169-184, 2003