The document presents a finite element analysis of thin plate web I-beam sections under concentrated loads, focusing on modeling, results, and discussions related to displacement and stress. The study utilized LUSAS software to compare the results of numerical analysis with previous experimental findings, revealing that the finite element method accurately reflects the load-displacement behavior. The conclusions indicate that the model's outcomes align closely with experimental results, demonstrating the effectiveness of the software for precise analyses in engineering applications.

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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

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Contents
1 INTRODUCTION
2 Problem statement
3 Model geometry and properties
4 Finite Element Modeling
5 Result and discussions
6 Bibliography

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INTRODUCTION
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.

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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.

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Figure (1) Thin plate web shapes Figure (2) Loading test machine

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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

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Finite Element Modeling
In 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.

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Finite Element Modeling

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Result and discussions
The 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

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Figure (5) Deformed shape of thin plate web I-Beam section
Figure (6) Contours shape of displacement under concentrated load

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Comparing 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 .

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Conclusion
The 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.

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Bibliography
 [1] 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
 [2] 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.
 [3] Elgaaly M, Hamilton RW, Seshadri A. Shear strength of beams with corrugated webs.
Journal of Structural Engineering ASCE 1996;122(4):390–8.
 [4] Elgaaly M, Seshadri A, Hamilton RW. Bending strength of steel beams with corrugated
webs. Journal of Structural Engineering ASCE 1997;123(6):772–82.
 [5] Elgaaly M, Seshadri A. Girders with corrugated webs under partial compressive edge
loading. Journal of Structural Engineering ASCE 1997;123(6):783–91.

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