result management system report for college project
Finite element analysis teaching plan
1. COURSE OBJECTIVE:
To impart the knowledge to the students on the use of FEM to various Engineering Problems.
To introduce the concepts of Mathematical Modeling of Engineering Problems
To know the principles involved in discretization and finite element approach.
COURSE OUTCOME:
Ability to
1. recognize the use of FEM in various engineering problems and application
2. outline the different formulation of field problems and governing equations for different models and
problems
3. Interpret the steps to find stiffness matrix and shape function for structural and thermal problems
using suitable approaches.
4. Demonstrate and categorise the 2D continuum and their various applications.
5. Illustrate the axisymmetric continnum and find stress, temperature and velocity head based on the
application.
6. Analyse the various isoparametric 2D continuum elements in 1-D, 2-D and 3-D..
COURSE CONTENT
Module I - INTRODUCTION: (09 Hours)
Historical background – Matrix approach – Application to the continuum –Discretisation – Matrix algebra –General
field problems, Governing equations- Weighted Residual Method- Ritz method.
Module II - ONE DIMENSIONAL PROBLEMS: (09 Hours)
Finite Element Modeling- FEM analysis of one dimensional problems- Coordinates and Shape functions-
Derivation of Shape functions- discretization of domain, element equations and assembly, derivation of stiffness
matrices and load vectors- Solution of problems from solid mechanics and heat transfer.
Module III - TWO DIMENSIONAL CONTINUUM: (09 Hours)
Second order equation involving a scalar variable function – Triangular and quadrilateral elements- Shape
functions and element matrices and force vectors- Application to Field Problems - Thermal problems.
MODULE IV - AXI-SYMMETRIC CONTINUUM: (09 Hours)
Equations of elasticity- Plane stress, plane strain and axisymmetric problems- Element stiffness matrix- body
forces- Temperature effects- Stress calculation- head and fluid flow problems, time dependent problems-
Application to Cylinder under internal and external pressure.
Module V - ISOPARAMETRIC ELEMENTS FOR 2-D CONTINUUM: (09 Hours)
Isoparametric formulation- Shape functions for isoparametric elements-, Lagrangean and serendipity elements-
element stiffness matrix- formulation of element equations- Stress calculations- Numerical integration
Text Books:
1. Rao, S.S., The Finite Element Method in Engineering”, 3rd Edition, Butterworth Heinemann, 2004
2. Logan, D.L., “A first course in Finite Element Method”, Thomson Asia Pvt. Ltd., 2002
Reference Books:
1. Seshu, P, “Text Book of Finite Element Analysis”, Prentice-Hall of India Pvt. Ltd., New Delhi, 2007.
2. Reddy. J.N., “An Introduction to the Finite Element Method”, 3rd Edition, Tata McGraw-Hill, 2005
3. Tirupathi, R.Chandrupatla and Ashok, D. Belegundu., "Introduction to Finite Elements in Engineering", Prentice Hall of India
Private Limited., New Delhi, 2004.
MICRO LESSON PLAN
17ME2031 – FINITE ELEMENT ANALYSIS (Credits 3:0:0)
Unit
No
Lect.
No.
Topics to be covered
Book & Page
Nos.
Date
Taught
MODULEI
1 Introduction
Reference Book
3 – Page
Numbers from
1 to 21
2 Historical background
3 Matrix approach
4 Application to the continuum
5 Discretisation
6 Matrix algebra
7 General field problems
8 Governing equations- Weighted Residual Method
9 Rayleigh Ritz method
MOD
ULE
II
10 One Dimensional Problems Text Book 1 –
Page Numbers
from 53 to 65
11 Finite Element Modeling
12 FEM analysis of one dimensional problems
2. 13 Coordinates and Shape functions
14 Derivation of Shape functions
15-16
discretization of domain, element equations and assembly,
derivation of stiffness matrices and load vectors
17-18
Solution of problems from solid mechanics and heat
transfer
MODULEIII
19 Two Dimensional Continuum
Text Book 1 –
Page Numbers
from 157 to 189
20-21 Second order equation involving a scalar variable function
22-23 Triangular and quadrilateral elements
24-25 Shape functions and element matrices and force vectors
26 Application to Field Problems
27 Thermal problems
MODULEIV
28 Axi-Symmetric Continuum
Text Book 2 –
Page Numbers
from 441 to 465
29 Equations of elasticity
30 Plane stress, plane strain and axisymmetric problems
31 Element stiffness matrix
32 body forces - Temperature effects
33 Stress calculation
34 head and fluid flow problems
35 time dependent problems
36
Application to Cylinder under internal and external
pressure
MODULEV
37 Isoparametric Elements For 2-D Continuum
Text Book 2 –
Page Numbers
from 475 to 517
38 Isoparametric formulation-
39 Shape functions for isoparametric elements-,
40-41 Lagrangean and serendipity elements-
42 element stiffness matrix-
43 formulation of element equations-
44 Stress calculations-
45 Numerical integration
*Mode of Teaching: Sketch Board (Gallery Hall), PPT, Video, Tutorials, Quiz
Text Books:
1. Rao, S.S., The Finite Element Method in Engineering”, 3rd Edition, Butterworth Heinemann, 2004
2. Logan, D.L., “A first course in Finite Element Method”, Thomson Asia Pvt. Ltd., 2002
Reference Books:
1. Seshu, P, “Text Book of Finite Element Analysis”, Prentice-Hall of India Pvt. Ltd., New Delhi, 2007.
2. Reddy. J.N., “An Introduction to the Finite Element Method”, 3rd Edition, Tata McGraw-Hill, 2005
3. Tirupathi, R.Chandrupatla and Ashok, D. Belegundu., "Introduction to Finite Elements in Engineering", Prentice Hall of India
Private Limited., New Delhi, 2004.
ASSESSMENT PATTERN
COURSE ARTICULATION MATRIX
MAPPING OF PROGRAMME OUTCOMES WITH COURSE OUTCOMES
Name of
Assessment
Marks Allotted Tentative Date Duration
TEST 1 15 31st working day 03/02/2020 120 minutes
TEST 2 15 57th working day 10/03/2020 120 minutes
TEST 3 15 81st working day 16/04/2020 120 minutes
QUIZ 5 81st working day 16/04/2020 10 minutes
Quality Assessment 5 - - -
Attendance 5 - - -
End Semester 40 After 90th working day 04/05/2020 180 minutes
