Finite Element Analysis

FINITE ELEMENT ANALYSIS
VI Semester: AE
Course Code Category Hours / Week Credits Maximum Marks
L T P C CIA SEE Total
AAEB19 Core
3 1 - 4 30 70 100
Contact Classes: 45 Tutorial Classes: 15 Practical Classes: Nil Total Classes: 60
Prerequisite: Mechanics of solids
I. COURSE OVERVIEW:
The finite element analysis (FEA) is a numerical method widely used for modeling and analyzing structures. This
course introduces the mathematical modeling concepts of the Finite Element Method for solving structural, thermal
and dynamics problems that are too complicated to be solved by analytical methods.
II. COURSE OBJECTIVES:

The student will try to learn:
I The basic concepts of Finite Element methods and its applications to complexengineering problems.
II The characteristics and selection of different finite elements used in finite elementmethods.
III The equilibrium equations and stress-strain relations for different boundary conditions encountered in
structural and heat transfer continuum problems.
IV The application of the FEM technique to dynamic problems and validate the solutions through
simulation software for real time applications.
III. COURSE OUTCOMES:

After successful completion of the course, students should be able to:
CO 1 Choose discretization concepts and shape functions of structuralmembers for computing Apply
displacements and stresses of the aircraft components.
CO 2 Utilize the shape functions of truss and beam elements for obtaining stiffness Apply
matrix and load vector to compute nodal displacement, stresses.
CO 3 Identify the required discreet models of constant strain triangle element for Apply
estimating displacement and stress under load conditions.
CO 4 Make use of axi-symmetric modeling concepts to solids of revolution for stress Apply
approximation
CO 5 Apply numerical techniques of heat transfer problems to compute the temperature Apply
gradients under various thermal boundary conditions
CO 6 Develop the governing equations for the dynamic systems to estimate circular Apply
frequency and mode shapes, in correlation with modern tools
IV. SYLLABUS:
MODULE-I: INTRODUCTION (10)
Introduction to Finite Element Method for solving field problems. Stress and Equilibrium. Boundary conditions.
Strain - displacement relations. Stress-strain relations for 2-D and3-D elastic problems. One Dimensional Problem:
Finite element modeling coordinates and shape functions. Assembly of Global stiffness matrix and load vector.
Finite element equations – Treatment of boundary conditions, Quadratic shape functions.
MODULE –II: ANALYSIS OF TRUSSES AND BEAMS (10)
Analysis of Trusses: Stiffness matrix for plane Truss Elements, stress calculations and problems. Analysis of
beams: Element stiffness matrix for two noded, two degrees of freedom per node beam element and simple
problems.
MODULE –III: CONTINUUM ELEMENTS (09)
Finite element modeling of two dimensional stress analysis with constant strain triangles and treatment of boundary
conditions. Estimation of load vector and stresses.
Finite element modeling of Axi-symmetric solids subjected to Axi-symmetric loading with triangular elements Two
dimensional four noded isoparametric elements and problems.
231 | P a g e
MODULE –IV: STEADY STATE HEAT TRANSFER ANALYSIS (09)
Steady state Heat Transfer Analysis: one dimensional analysis of slab, fin and two dimensional analysis of thin
plate.
MODULE –V: DYNAMIC ANALYSIS (07)
Dynamic Analysis: Formulation of finite element model, element –Mass matrices, evaluation of Eigen values and
Eigen Vectors for a stepped bar, convergence requirements, mesh generation, techniques such as semi-automatic and
fully automatic use of software such as ANSYS, NISA, NASTRAN etc.
V. TEXT BOOKS:
1. Tirupathi. R. Chandrapatla, Ashok D. Belegundu, “Introduction to Finite Elements in Engineering”, Prentice
Hall India, 3rd Edition, 2003.
2. Rao. S.S., “Finite Element Methods in Engineering”, Butterworth and Heinemann, 2000.
3. Reddy J.N., “An Introduction to Finite Element Method”, McGraw Hill, 2000
VI. REFERENCE BOOKS:
1. Krishnamurthy, C.S., “Finite Element Analysis”, Tata McGraw Hill, 2000.
2. K. J. Bathe, E. L. Wilson, “Numerical Methods in Finite Elements Analysis”, Prentice Hall of India, 1985.
3. Robert D Cook, David S Malkus, Michael E Plesha, “Concepts and Applications of Finite Element Analysis”,
John Wiley and Sons, 4th Edition, 2003.
4. Larry J Segerlind, "Applied Finite Element Analysis", John Wiley and Sons, 2nd Edition, 1984.
VII. WEB REFERENCES:
1. www.home.iitk.ac.in/~sbasu/me623_2006/fem_notes_me623.pdf
2. www.nptel.ac.in/courses/112104116/
3. www.me.berkeley.edu/~lwlin/me128/FEMNotes.pdf
VIII. E-TEXT BOOKS:
1. www.civilenggforall.com/2015/09/finite-element-analysis-by-ss-bhavikatti-free-download-
pdfcivilenggforall.com.html
2. www.books.google.co.in/books/about/Finite_Element_Analysis_For_Engineering.html
232 | P a g e

Finite Element Analysis

Uploaded by

Copyright:

Available Formats

Finite Element Analysis

Uploaded by

Document Information

Original Description:

Original Title

Copyright

Available Formats

Share this document

Share or Embed Document

Sharing Options

Did you find this document useful?

Is this content inappropriate?

Copyright:

Available Formats

Finite Element Analysis

Uploaded by

Copyright:

Available Formats

FINITE ELEMENT ANALYSIS

II. COURSE OBJECTIVES:

III. COURSE OUTCOMES:

You might also like