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### CE2050 FINITE ELEMENT TECHNIQUES | ANNA UNIVERSITY BE CIVIL ENGINEERING 8th SEMESTER SYLLABUS 2008 REGULATION | APPLICABLE TO CHENNAI, MADURAI, COIMBATORE, TRICHY, TRINELVELI | ANNA UNIV BE CIVIL 8TH SEM SYLLABUS | QUESTION BANK

CE2050 FINITE ELEMENT TECHNIQUES  | ANNA UNIVERSITY BE CIVIL ENGINEERING 8th SEMESTER SYLLABUS 2008 REGULATION |  APPLICABLE TO CHENNAI, MADURAI, COIMBATORE, TRICHY, TRINELVELI | ANNA UNIV BE CIVIL 8TH SEM SYLLABUS | QUESTION BANK
CE 2050 FINITE ELEMENT TECHNIQUES L T P C
3 0 0 3
OBJECTIVE
At the end of this course the student shall have a basic knowledge of finite element method and
shall be able to analyse linear elastic structures, that he has studied about in core courses,
using finite element method.
UNIT I INTRODUCTION – VARIATIONAL FORMULATION 9
General field problems in Engineering – Modelling – Discrete and Continuous models –
Characteristics – Difficulties involved in solution – The relevance and place of the finite element
method – Historical comments – Basic concept of FEM, Boundary and initial value problems –
Gradient and divergence theorems – Functionals – Variational calculus Variational formulation
of VBPS. The method of weighted residuals – The Ritz method.
96
UNIT II FINITE ELEMENT ANALYSIS OF ONE DIMENSIONAL PROBLEMS 10
One dimensional second order equations – discretisation of domain into elements –
Generalised coordinates approach – derivation of elements equations – assembly of elements
equations – imposition of boundary conditions – solution of equations – Cholesky method – Post
processing – Extension of the method to fourth order equations and their solutions – time
dependant problems and their solutions – example from heat transfer, fluid flow and solid
mechanics.
UNIT III FINITE ELEMENT ANALYSIS OF TWO DIMENSIONAL PROBLEMS 10
Second order equation involving a scalar-valued function – model equation – Variational
formulation – Finite element formulation through generalised coordinates approach – Triangular
elements and quadrilateral elements – convergence criteria for chosen models – Interpolation
functions – Elements matrices and vectors – Assembly of element matrices – boundary
conditions – solution techniques.
UNIT IV ISOPARAMETRIC ELEMENTS AND FORMULATION 8
Natural coordinates in 1, 2 and 3 dimensions – use of area coordinates for triangular elements
in - 2 dimensional problems – Isoparametric elements in 1,2 and 3 dimensional Largrangean
and serendipity elements – Formulations of elements equations in one and two dimensions -
Numerical integration.
UNIT V APPLICATIONS TO FIELD PROBLEMS IN TWO DIMENSIONALS 8
Equations of elasticity – plane elasticity problems – axisymmetric problems in elasticity –
Bending of elastic plates – Time dependent problems in elasticity – Heat – transfer in two
dimensions – incompressible fluid flow
TOTAL: 45 PERIODS
TEXT BOOK
1. Chandrupatla, T.R., and Belegundu, A.D., “Introduction to Finite Element in
Engineering”, Third Edition, Prentice Hall, India, 2003.
REFERENCES
1. J.N.Reddy, “An Introduction to Finite Element Method”, McGraw-Hill, Intl. Student
Edition, 1985.
2. Zienkiewics, “The finite element method, Basic formulation and linear problems”, Vol.1,
4/e, McGraw-Hill, Book Co.
3. S.S.Rao, “The Finite Element Method in Engineering”, Pergaman Press, 2003.
4. C.S.Desai and J.F.Abel, “Introduction to the Finite Element Method”, Affiliated East West
Press, 1972.