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CE 720 Matrix and Finite Element Structural Analysis I |
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Review of direct stiffness method; degrees of freedom; stiffness; assembly; transformation; analysis of solids through principle of virtual work; approximate stiffness through finite element shape functions; study of various finite elements including constant strain triangle and bilinear rectangle, their limitations and convergence issues; higher order elements, incompatible elements; isoparametric formulation and distorted elements; application of finite element analysis for solids and structures; modeling considerations and software use. 3 credit hours. |
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Prerequisite
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Structural analysis course using stiffness method with matrix algebra (CE 425/525 or equivalent). Undergraduate engineering courses in solid mechanics and mathematics are recommended.
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| Course Objectives | Students will be able to use the finite element method in an informed manner to analyze solids and structures accurately and reliably, while recognizing the limitations of their analysis in relation to real physical problems. The course focuses on linear static analysis, but students will also be able to read literature and extend their knowledge related to dynamic and nonlinear finite element analysis.
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| Course Topics | Topics will be selected from: Review of matrix structural analysis: degrees of freedom; bar, beam and frame elements; element stiffness matrix; assembly; global stiffness matrix and its properties; modeling and verification. Equations governing the deformation of 2-D solid continuum: equilibrium equations; strain-displacement relations; stress-strain relations; boundary conditions; principle of virtual work. FEA of 2-D solids with simple elements: need for approximation; interpolation of displacements; stiffness matrices and consistent load vectors; bar and beam elements revisited; constant strain triangle; stiffening effect of approximation; quadratic triangle; bilinear rectangle; quadratic rectangles; inter-element compatibility; improved rectangular elements for bending deformation; stress calculation; overview of isoparametric elements. Modeling Considerations: sources of errors; discretization errors and their estimation; convergence considerations; stress smoothing; solution checking; good and bad practices. Isoparametric formulation: bar element; bilinear quadrilateral element; gauss quadrature; higher order elements; selective reduced integration; convergence considerations; stress calculation.
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| Course Requirements | Homework 20 %
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| Required Textbook |
Concepts and Applications of Finite Element Analysis, R.D. Cook, D.S. Malkus, M.E. Plesha and R.J. Witt, 4th edition, John Wiley and Sons, 2002. ISBN: 0471356050
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| Computer and Internet Requirements |
NCSU has recommended minimum specifications for computers used for classes. Depending on your computer needs, we recommend your computer meet or exceed the following minimum specifications below. PCs must have an Intel-compatible 800 MHz processor, 256 MB RAM, 8 GB hard drive with 1 GB free space available, 256 Color Display, CD-ROM drive, 800x600 (min.) video adapter, sound card, and speakers. The operating system should be Windows 2000 or XP. Real One Player Basic (available free online) and high speed Internet connection such as cable, DSL, T1 or LAN will be required for EOL courses. MAC users must have a G3 processor with firewire and USB factory built-in, 256 MB RAM, 10 GB with 1GB free space available, 256 Color Display, CD-ROM drive, 800x600 (min) video adapter, sound card, and speakers. The operating system must be MacOS 10.3 (minimum) along with the above RealOne and Internet specifications above . For more detailed information on computer specifications and recommendations, please refer to our website at: http://engineeringonline.ncsu.edu/currentstudents/computeraccess.htm
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| Software Requirements | Some of the homework and the project will require the use of finite element analysis software. For this purpose ANSYS will be available remotely on the Eos system at NCSU. Students may choose to use other software, but access will be their responsibility.
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| Instructor |
Dr. Rudolf Seracino, Associate Professor Phone: (919) 513-1735
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