Logo FINITE ELEMENT ANALYSIS FINITE ELEMENT ANALYSIS OF THIN PLATE WEB I- BEAM SECTION UNDER CONCENTRATED LOAD Presented by : Yousef Hasanain Submitted to : Prof. Ir. Dr. Wan Hamidon
LogoContents 1 INTRODUCTION 2 Problem statement 3 Model geometry and properties 4 Finite Element Modeling 5 Result and discussions 6 Bibliography
LogoINTRODUCTION The finite element method has become a powerful tool for the numerical solution of a wide range of engineering problems and the primary objectives of analysis by finite elements are to calculate approximately stresses and deflections in a structure. The F.E.M is particularly useful for solving a deferential equation, together with its boundary conditions, over the domain of complex shape.
Logo Problem statement The case study for various thin plate shapes of I-Beam sections under loading have been studied by (Chan et al.2002) which showed the effort of plane web and corrugated web under loading test machine through different specimens . The analyses of finite element method by LUSAS software is focused in this study for one specimen of the plane web shape to show the displacement under concentrated load and compare the results of the analysis with the results of loading test machine which done by (Chan et al.2002) previously.
LogoFigure (1) Thin plate web shapes Figure (2) Loading test machine
Logo Modeling and geometry The analysis is studying the effect of linear elastic materials under loading for plane web I-Beam section with Elastic modulus , Poisson ratio 209 , 0.3 respectively and has properties as show in the table . The depth ( d ) 127.05 mm Flanges thickness ( tf ) 7.05 mm Flanges width ( bf) 77.05 mm Web thickness ( tw ) 4.45 mm
Logo Finite Element ModelingIn the present proposed sample different meshes have been modeled to achieve the convergence test which is the closest to the exact solution.Varied numbers of elements have tried to reach the exact compared value of displacement approximately.
Logo Result and discussionsThe results of LUSAS software show the linearity of the analysis of the problem for the displacement under loading, its deformed shape and the contours shape as shown in graphs. Graph (1) Load-Displacement curve by LUSAS software
Logo Figure (5) Deformed shape of thin plate web I-Beam sectionFigure (6) Contours shape of displacement under concentrated load
LogoComparing the result from the software with the previous experimental result, it clears that the displacement is approximately equaled for both results as shown in the graph .
Logo ConclusionThe model has been created to see what max displacement can settle through max load on the plane web of thin plate. The difference between the experimental and the finite element analysis results is adequately the same.The difference is attributed to the accuracy of the analysis software and the default experimental test. Therefore, the LUSAS software analysis is carried out several applications which require the accurate results getting in shorter specific limiting time than other normal handling procedures.
Logo Bibliography  C.L Chan, Y.A Khalid, B.B Sahari, A.M.S. Hamouda. Finite element analysis of corrugated web beams under bending. Department of Mechanical and Manufacturing Engineering, Universiti Putra Malaysia, Malaysia. 2002  Elgaaly M, Seshadri A, Hamilton RW. Beams with corrugated webs, research to practice. In: Proceedings of the Jun 14-16 1995 NSF Research Transformed into Practice: implementation Conference.VA (USA): Arlington; 1995, p. 603–12.  Elgaaly M, Hamilton RW, Seshadri A. Shear strength of beams with corrugated webs. Journal of Structural Engineering ASCE 1996;122(4):390–8.  Elgaaly M, Seshadri A, Hamilton RW. Bending strength of steel beams with corrugated webs. Journal of Structural Engineering ASCE 1997;123(6):772–82.  Elgaaly M, Seshadri A. Girders with corrugated webs under partial compressive edge loading. Journal of Structural Engineering ASCE 1997;123(6):783–91.