NPTEL Syllabus

Finite Element Analysis - Web course

COURSE OUTLINEThe target audience of the course is the Post Graduate / Final year Undergraduatestudents from areas such as Civil, Mechanical, Aerospace, Naval Architecture etc.The objective of the course is to apprise the students about the basics of the Finite ElementTechnique, a numerical tool for the solution of different classes of problems in solidmechanics. Different application areas will be dealt with after introducing the basic aspectsof the method. However, major emphasis will be on the solution of problems related to Civil Engineering.It is intended to cover the analysis methodologies for 1-D, 2-D and 3-D problems with theadvantages and disadvantages clearly spelt out. It is expected that once the students are exposed to the course, they will be in a position todevelop computer codes for any physical problem using Finite Element technique.COURSE DETAIL

Sl. No. Topic

1 Module 1: Introduction to Finite Element AnalysisLecture 1: IntroductionLecture 2: Basic Concepts of Finite Element AnalysisLecture 3: Introduction to ElasticityLecture 4: Steps in Finite Element Analysis

2 Module: 2 Finite Element Formulation TechniquesLecture 1: Virtual Work and Variational PrincipleLecture 2: Galerkin MethodLecture 3: Finite Element Method: Displacement ApproachLecture 4: Stiffness Matrix and Boundary Conditions

3 Module 3: Element PropertiesLecture 1: Natural CoordinatesLecture 2: Triangular ElementsLecture 3: Rectangular ElementsLecture 4: Lagrange and Serendipity ElementsLecture 5: Solid ElementsLecture 6: Isoparametric FormulationLecture 7: Stiffness Matrix of Isoparametric ElementsLecture 8: Numerical Integration: One Dimensional

NPTELhttp://nptel.ac.in

CivilEngineering

Pre-requisites:

Since this course is aMasters level course,it is expected that thestudents should beexposed to StructuralAnalysis, MatrixAlgebra & BasicMathematics courses.

TEXTConcepts inFinite ElementAnalysis - R.D.Cook, Plesha &Malkus.Finite ElementAnalysis - C. S.KrishnamoorthyFinite ElementAnalysis - S. S.Rao

Additional Reading:

1. A large amountof literature isavailable in thearea. Studentsshould getexposed to thesame.

Coordinators:Dr. D. Maity

Lecture 8: Numerical Integration: One DimensionalLecture 9: Numerical Integration: Two and Three DimensionalWorked out Examples

4 Module 4: Analysis of Frame StructuresLecture 1: Stiffness of Truss MembersLecture 2: Analysis of TrussLecture 3: Stiffness of Beam MembersLecture 4: Finite Element Analysis of Continuous BeamLecture 5: Plane Frame AnalysisLecture 6 Analysis of Grid and Space Frame

5 Module 5: FEM for Two and Three Dimensional SolidsLecture 1: Constant Strain TriangleLecture 2: Linear Strain TriangleLecture 3: Rectangular ElementsLecture 4: Numerical Evaluation of Element StiffnessLecture 5: Computation of Stresses, Geometric Nonlinearity and StaticCondensationLecture 6: Axisymmetric ElementLecture 7: Finite Element Formulation of Axisymmetric ElementLecture 8: Finite Element Formulation for 3 Dimensional ElementsWorked out Examples

6 Module 6: FEM for Plates and ShellsLecture 1: Introduction to Plate Bending ProblemsLecture 2: Finite Element Analysis of Thin PlateLecture 3: Finite Element Analysis of Thick PlateLecture 4: Finite Element Analysis of Skew PlateLecture 5: Introduction to Finite Strip MethodLecture 6: Finite Element Analysis of Shell

7 Module 7: Additional Applications of FEMLecture 1: Finite Elements for Elastic StabilityLecture 2: Finite Elements in Fluid MechanicsLecture 3: Dynamic Analysis

Department of CivilEngineeringIITKharagpurProf. S.K.BhattacharyyaDepartment of CivilEngineeringIITKharagpur

References:

C. S. Krishnamoorty, Finite Element Analysis, Tata McGraw-HillDavid V. Hutton, Fundamentals of Finite Element Analysis, McGraw HillD. Maity, Computer Analysis of Framed Structures, I. K. International Pvt. Ltd. NewDelhiErik G. Thompson, Introduction to the Finite Element Method: Theory, Programmingand Applications, John WileyH. C. Martin and G. F. Carey, Introduction to Finite Element Analysis - Theory andApplication, NewYork, McGraw-HillIrving H. Shames, Clive L. Dym, Energy and Finite Element Methods in StructuralMechanics; New Age InternationalK. J. Bathe, Finite Element Procedures, Prentice-Hall of India, New Delhi, IndiaM. Mukhopadhyay, Matrix, Finite Element, Computer and Structural Analysis, Oxfordand IBH Publishing Co. Pvt. Ltd., New Delhi, IndiaO. C. Zienkiewicz and Y. K. Cheung, The Finite Element Method in Structural andSoild Mechanics, McGraw Hill, LondonP. E. Ceruzzi, A History of Modern Computing, The MIT Press, Cambridge, MA, 1998.R. D. Cook, Concepts and Applications of Finite Element Analysis , WileyS. S. Rao, Finite Element Analysis, Elsevier Butterworth-HeinemannW. Weaver Jr. and J. M. Gere, Matrix Analysis of Framed Structure, CBS Publishers &Distributors, New Delhi, India

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