 Teacher: AKELLA YESWANTH MECH_STAFF
 Teacher: K Tulasi Mech_Staff
 Teacher: Mr. N. Raghuveer MECH_STAFF
FINITE ELEMENT METHODS
Course Category 
Professional Core 
Course Code 
16ME7T27 
Course Type 
Theory 
LTPC 
4003 
Prerequisites 
Strength of materials, heat transfer, matrix calculations. 
Internal Assessment Semester End Examination Total Marks 
40 60 100 
COURSE OBJECTIVES 

1. 
The basic principles of finite element analysis procedure. 
2. 
Concept of discretization and characteristics of finite elements that represent engineering structures. 
3. 
The analysis of trusses and beams. 
4. 
Analysis of 2D problems. 
5. 
The use of higher order elements for 1D and 2D problems. 
6. 
To solve heat transfer and other field problems using FEM and FE procedure for dynamic analysis of structures. 
COURSE OUTCOMES 

Upon successful completion of the course, the student will be able to: 
BLOOMS TAXONOMY LEVEL 

CO1 
Demonstrate the variational methods and weighted residual methods for solution to engineering problems. 
Analyzing 
CO2 
Explain the various steps in the procedure for FEM. 
Understanding 
CO3 
Solve the onedimensional problems like trusses and beams by FEM 
Analyzing 
CO4 
Solve the 2D problems using CST and axisymmetric elements. 
Analyzing 
CO5 
Solve the 1D and 2D using higher order elements. 
Analyzing 
CO6 
Solve the heat transfer, torsional and free vibration problems 
Analyzing 
Contribution of Course Outcomes towards achievement of Program 

Outcomes (1 – Low, 2  Medium, 3 – High) 


PO1 
PO2 
PO3 
PO4 
PO5 
PO6 
PO7 
PO8 
PO9 
PO10 
PO11 
PO12 
PSO1 
PSO2 

CO1 
3 
3 
3 
3 
3 
 
 
 
2 
 
 
2 
3 
3 

CO2 
3 
3 
3 
3 
3 
 
 
 
2 
 
 
2 
3 
3 

CO3 
3 
3 
3 
3 
3 
 
 
 
2 
 
2 
 
3 
3 

CO4 
3 
3 
3 
3 
3 
 
 
 
2 
 
2 
2 
3 
 

CO5 
3 
3 
3 
3 
3 
 
 
 
2 
 
2 
2 
3 
3 

CO6 
3 
3 
3 
3 
3 
 
 
 
2 
 
2 
2 
3 
3 

COURSE CONTENT 

UNIT I 
Introduction to finite element method, stress and equilibrium, strain – displacement relations, stress – strain relations, plane stress and plane strain conditions, variational and weighted residual methods, concept of potential energy, one dimensional problems. 
UNIT II 
Discretization of domain, element shapes, discretization procedures, assembly of stiffness matrix, band width, node numbering, mesh generation, interpolation functions, local and global coordinates, convergence requirements, treatment of boundary conditions. 
UNIT III 
Analysis of Trusses: Finite element modeling, coordinates and shape functions, assembly of global stiffness matrix and load vector, finite element equations, treatment of boundary conditions, stress, strain and support reaction calculations. Analysis of Beams: Element stiffness matrix for Hermite beam element, derivation of load vector for concentrated and UDL, simple problems on beams. 
UNIT IV 
Finite element modeling of twodimensional stress analysis with constant strain triangles and treatment of boundary conditions, formulation of axisymmetric problems. 
UNIT V 
Higher order and isoparametric elements: One dimensional quadratic and cubic elements in natural coordinates, two dimensional four noded isoparametric elements and numerical integration. 
UNIT VI 
Steady state heat transfer analysis: one dimensional analysis of a fin and twodimensional analysis of thin plate, analysis of a uniform shaft subjected to torsion. Dynamic Analysis: Formulation of finite element model, element consistent and lumped mass matrices, evaluation of eigen values and eigen vectors, free vibration analysis. 
TEXT BOOKS 

1. 
Introduction to Finite Elements in Engineering / Chandraputla, Ashok and Belegundu / Prentice – Hall. 
2. 
The Finite Element Methods in Engineering / SS Rao / Pergamon. 
REFERENCE BOOKS 

1. 
Finite Element Method with applications in Engineering / YM Desai, Eldho & Shah /Pearson publishers. 
2. 
An introduction to Finite Element Method / JN Reddy / McGrawHill. 
3. 
The Finite Element Method for Engineers – Kenneth H. Huebner, Donald L. Dewhirst, Douglas E. Smith and Ted G. Byrom / John Wiley & sons (ASIA) Pte Ltd. 
4. 
Finite Element Analysis: Theory and Application with Ansys, Saeed Moaveniu, Pearson Education. 
WEB REFERENCES 

1. 
http://web.mit.edu/kjb/www/Books/FEP_2nd_Edition_4th_Printing.pdf 
2. 

3. 
http://home.iitk.ac.in/~sbasu/me623_2006/fem_notes_me623.pdf 
4. 
http://mech.iust.ac.ir/files/mech/madoliat_bcc09/pdf/yijun_liu___nummeth_20040121_fem.pdf 
5. 
http://nptel.iitm.ac.in/video.php?courseId=1012 
6. 
http://www.finiteelementmethod.info/ 
 Teacher: Mr D.J.Johnson MECH_STAFF
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