De ZG513

BIRLA INSTITUTE OF TECHNOLOGY & SCIENCE, PILANI
WORK INTEGRATED LEARNING PROGRAMMES
Digital Learning
Part A: Content Design
Course Title Finite Element Method
Course No(s) DE ZG513
Credit Units 5
1-1-2
Credit Model (32 Hours of Class-room Instruction + 32 Hours of Case-
studies/Tutorials + 64 Hours of Student Preparation)
Instructor-In-Charge GAURAV WATTS

Version No 1.0
Course Description
The finite element method (FEM) (also called finite element analysis or FEA) originated from
the need to solve complex problems in solid mechanics. FEM is used to obtain approximate
numerical solutions to a variety of equations of calculus. Today it is used in a wide range of
disciplines. This course is an introduction to FEA as applied to elasticity problems in solid and
structural mechanics. This course will train you to analyze real world structural mechanics
problems using the finite element method. You will be introduced to the mathematical basis of
finite element analysis, on which nearly all structural analysis software is built. You will learn
how to apply commercially available finite element software to solve real-world engineering
problems. The course will cater to the specific challenges of engineers across all mechanical
disciplines (Aerospace, Manufacturing, Mechanical, Mechatronic and Naval). Any student
wishing to extend their structural analysis skills should take this course. Hands-on experience
of examples from diverse engineering fields such as solid and fluid mechanics, heat transfer,
transient and steady state analysis, modal and harmonic analysis are to be covered using Finite
element analysis software
Course Objectives:
No Course Objectives
CO1 Understand the basic finite element method which converts a given BVP into a set of
algebraic linear equations that is much easier to solve numerically.
CO2 Understand strong and weak formulation, methods of weighted residual, stiffness matrix
and its properties.
CO3 Understand linear analysis of 1D and 2D problems of heat transfer and solid mechanics,
fluid mechanics, study of isoparametric elements, numerical integration techniques.
CO4 Solve problems such as steady state and transient Navier-stokes using Newton-
Raphson, implicit and explicit time marching schemes
Teaching Methodology
The pedagogy for this course consists of class-room instruction explaining fundamentals of
the finite element method with illustrative examples from various branches of engineering.
The course will start with providing basic understanding about FEM to solve different
problems. Steps in FEM, Discretization of the domain, and connectivity of elements will be
treated thoroughly. The course covers 1-D problems, trusses, 2D problems using CST
elements, axisymmetric problems, beams and frames, heat transfer analysis, non-linear analysis
and dynamic analysis. The course also has a lab component where students will solve different
problems using ANSYS software.
Text Book(s)
T1 T. R. Chandrupatla and A. D. Belegundu, Introduction to Finite Elements in Engineering,

Pearson Education, 3nd Edition, 2002, New Delhi.
Reference Book(s) & other resources

R1 J. N. Reddy, An Introduction to the Finite Element Method, Tata McGraw-Hill Publishing
Company Ltd., 3rd Edition, 2005, New Delhi.
R2 R. D. Cook, D. S. Malkus, M. E. Plesha, Concept and Applications of Finite Element
Analysis, John Wiley, NY, 3rd Edition, 1989.
R3 O. C. Zienkiewicz, The Finite Element Method, TMH, New Delhi, 3rd Edition, 2002.
Learning Outcomes
No Learning Outcomes
LO1 Acquire the fundamentals of the finite element method
LO2 Apply FEM method to most relevant problems in Mechanical Engineering Domain
LO3 Demonstrate finite element analysis software for solving a diversity of problems from
Mechanical Engg.
Self-Study & Contact Session Plan
Module Title: Introduction to FEM

Session 1 and 2
Topic Topic Title Reference
No.
1.1 Introduction to FEM Class notes
1.2 Steps in FEM Class notes
Module Title: Shape functions

Session 3
No.
2.1 Co-ordinate systems Class notes
2.2 Shape functions Class notes
Module Title: Potential energy approach

Session 4 and 5
No.
3.1 Stress strain relations T1 Chapter 1
3.2 Potential energy approach and other methods T1 Chapter 1
Module Title: One dimensional problems

Session 6 and 7
No.
4.1 Derivation of stiffness matrix T1 Chapter 3
4.2 Solving problems on 1-D elements T1 Chapter 3
Module Title: Trusses

Session 8
No.
5.1 Stiffness matrix for truss element T1 Chapter 4
5.2 Solving problems on trusses T1 Chapter 4
Mid-Semester Test (Closed Book): Topics in Session 1 to 8

Module Title: 2-D problems using CST elements
Session 9
No.
6.1 Linear interlopation polynomials in terms of global and T1 Chapter 5
local coordinates of 2-D triangular elements,
6.2 Problem solving using CST element. T1 Chapter 5
Module Title: Analysis of Axisymmetric problems

Session 10
No.
7.1 Axisymmetric formulation T1 Chapter 6
7.2 Axisymmetric problems T1 Chapter 6
Module Title: Beams and Frames

Session 11 and 12

No.
8.1 Stiffness matrix for beams and frames T1 Chapter 8
8.2 Problems on beams and frames T1 Chapter 8
Module Title: 3D analysis

Session 13
No.
9.-1 Introduction to 3D analysis T1 Chapter 9
9.2 Problem solving procedures T1 Chapter 9
Module Title: Heat transfer analysis

Session 14

No.
9.-1 Steady state heat transfer anaysis T1 Chapter 10
9.2 Heat transfer analysis using 1-D elements T1 Chapter 10
Module Title: Non-linear analysis
Session 15

No.
9.-1 Introduction to nonlinear analysis Class notes
9.2 Methods of solving nonlinear problems Class notes
Module Title: Dynamic analysis

Session 16

No.
9.-1 Introduction to dynamic analysis T1 Chapter 11
9.2 Problem solving procedures T1 Chapter 11
Assignments
 Each student is given an individual assignment on any of the topics discussed
in the class
 Assignments are take-home and deadline-driven (typically of 2 weeks
duration) announced post Mid-semester examination
 Students to spend at least 16 hours of work in study, research, discussion and
preparation of the report and presentation.
 As part of deliverables, the student is expected to prepare a report and make
a short-presentation in the class
Evaluation Scheme
Evaluation Name Type Weight Duration Schedule

Component
EC - 1 Assignments Individual and 10% 2 Weeks August 17 – 30,

Take-home 2019
Refer lab calendar

below.
Lab - Ansys Online 20% -
EC - 2 Mid-Semester Closed Book 30% 2 Hrs Saturday,

Examination 21/09/2019 (FN)
10AM – 12 Noon
EC - 3 End-Semester Open Book 40% 3 Hrs Saturday,

Examination 16/11/2019 (FN)
9 AM – 12 Noon
Lab Calendar
11.08.2019 Lab Session 1

13.10.2019 Review Session
Lab Starts : 12.08.2019 - 10.09.2019 Phase I duration 30

days Practice
Mid Sem Break
Lab reopens : 12.10.2019 - 27.10.2019 Phase II duration 16
days Practice
Remote Proctored LAB Exams
Regular 31.10.2019- 07.11.2019 7 days

Makeup 08.11.2019-15.11.2019 7 Days
Syllabus for Mid-Semester Test (Closed Book): Topics in Contact Hours : 1 to 8

Syllabus for Comprehensive Exam (Open Book): All topics
Important links and information:
Elearn portal: https://elearn.bits-pilani.ac.in
Students are expected to visit the Elearn portal on a regular basis and stay up to date with the latest
announcements and deadlines.
Contact sessions: Students should attend the online lectures as per the schedule provided on the Elearn
portal.
Evaluation Guidelines:
1. EC-1 consists of either two Assignments or three Quizzes. Students will attempt them through
the course pages on the Elearn portal. Announcements will be made on the portal, in a timely
manner.
2. For Closed Book tests: No books or reference material of any kind will be permitted.
3. For Open Book exams: Use of books and any printed / written reference material (filed or
bound) is permitted. However, loose sheets of paper will not be allowed. Use of calculators is
permitted in all exams. Laptops/Mobiles of any kind are not allowed. Exchange of any material
is not allowed.
4. If a student is unable to appear for the Regular Test/Exam due to genuine exigencies, the
student should follow the procedure to apply for the Make-Up Test/Exam which will be made
available on the Elearn portal. The Make-Up Test/Exam will be conducted only at selected
exam centres on the dates to be announced later.
It shall be the responsibility of the individual student to be regular in maintaining the self study
schedule as given in the course handout, attend the online lectures, and take all the prescribed
evaluation components such as Assignment/Quiz, Mid-Semester Test and Comprehensive Exam
according to the evaluation scheme provided in the handout.
Instructor-in-Charge

De ZG513

Uploaded by

Copyright:

Available Formats

De ZG513

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

De ZG513

Uploaded by

Copyright:

Available Formats

BIRLA INSTITUTE OF TECHNOLOGY & SCIENCE, PILANI

WORK INTEGRATED LEARNING PROGRAMMES

Course Title Finite Element Method

Course No(s) DE ZG513

Instructor-In-Charge GAURAV WATTS

T1 T. R. Chandrupatla and A. D. Belegundu, Introduction to Finite Elements in Engineering,

Reference Book(s) & other resources

Module Title: Introduction to FEM

1.1 Introduction to FEM Class notes

1.2 Steps in FEM Class notes

Module Title: Shape functions

2.2 Shape functions Class notes

Module Title: Potential energy approach

Module Title: One dimensional problems

Module Title: Trusses

Mid-Semester Test (Closed Book): Topics in Session 1 to 8

Module Title: Analysis of Axisymmetric problems

Module Title: Beams and Frames

Topic Topic Title Reference

Module Title: 3D analysis

Module Title: Heat transfer analysis

Topic Topic Title Reference

Topic Topic Title Reference

Module Title: Dynamic analysis

Topic Topic Title Reference

Evaluation Name Type Weight Duration Schedule

EC - 1 Assignments Individual and 10% 2 Weeks August 17 – 30,

Refer lab calendar

EC - 2 Mid-Semester Closed Book 30% 2 Hrs Saturday,

EC - 3 End-Semester Open Book 40% 3 Hrs Saturday,

11.08.2019 Lab Session 1

Lab Starts : 12.08.2019 - 10.09.2019 Phase I duration 30

Regular 31.10.2019- 07.11.2019 7 days

Syllabus for Mid-Semester Test (Closed Book): Topics in Contact Hours : 1 to 8

You might also like