CE 529a Finite Element Analysis (3)
2017 Summer Semester — Tentative Course Syllabus
Lecture Tuesday, Thursday 6:40p.m. to 9:20p.m. OHE 100B
Professor Dr. A. Niazy, P.E.
Email Niazy@usc.edu
Textbook D.L. Logan, “A First Course in the Finite Element Method,” CL-Engineering, Sixth
Required Edition, 2016, ISBN-13: 978-1-305-63511-1.
References 1. S.S. Rao, “The Finite Element Method in Engineering,” Butterworth-Heinemann, Elsevier
Inc., Fifth Edition, 2010, ISBN-13: 978-1856176613.
2. R. Cook, D. Malkus, M. Plesha, and R. Witt, “Concepts and Applications of Finite
Element Analysis,” 4th Edition, 2002, Wiley.”
3. J. Fish, and T. Belytschko, “A First Course in Finite Elements,” 1st Edition, 2007, Wiley,
ISBN: 978-0-470-03580-1, Paperback.
4. K. Huebner, D. Dewhirst, D. Smith, and T. Byrom, “The Finite Element Method for
Engineers,” 4th Edition, 2001, Wiley-Interscience.”
5. K-J. Bathe, “Finite Element Procedures,” Prentice-Hall, Englewood Cliffs, 1995.
6. M.A. Crisfield, “Non-Linear Finite Element Analysis of Solids and Structures,” Vol. II,
John Wiley & Sons; 1st edition, 1997.
Typical engineering problems discussed on a physical basis. Setup and solution of
Course Description
problems by means of the existing mathematical tools.
To achieve fundamental understanding of the subject of finite element analysis and apply it
Course Objectives
to diverse problems in Aerospace, Civil, and Mechanical Engineering.
Variational Models
1. Calculus of variations
2. Constraints – Lagrange’s multiplier
3. Constraints – Penalty
4. Galerkin’s method.
Continuum Finite Elements
1. 1-D interpolation methods
2. 2-D interpolation methods – rectangles and triangles
3. 3-D interpolation methods – hexahedron, tetrahedron, prism
Isoparameteric Elements
1. Mappings – physical system and natural coordinate system
2. Numerical integration – Gauss’ quadrature
Learning Objectives
Numerical Implementation
Elasticity Problems
1. Plane stress and plane strain
2. Stress calculation
3. Incompressible problems
4. Pressure, enforced displacement, and thermal loading
Axisymmetric Elasticity Problems
Plate Problems
Dynamic Problems
Shell Problems
Introduction to Nonlinear Finite Element Analysis?
Tuesday, 09 May 2017 Page 1 of 4
CE 529a Finite Element Analysis (3)
2017 Summer Semester — Tentative Course Syllabus
Policies on:
Exams Closed book.
Only one sheet of 8.5” x 11” paper (two pages) of formulae allowed.
Calculator.
Students must turn in questions sheets with their answer sheets at the end of each
exam.
Homework Homework problems assigning and delivery are as indicated on the class
calendar; unless otherwise instructed. In addition, homework delivery needs to
be no later than 6:40 P.M. in Los Angeles time, CA, USA, on the day of delivery.
Late work Not to be accepted.
Make-up work No make-up on any examinations.
Incomplete work To be graded accordingly.
Extra credit No current plan for extra credit.
Homework 20 %
Final grade scheme Midterm Exam 20 %
is based on
Project 20 %
percentages of
graded coursework Final Exam 40 %
Total 100 %
Tuesday, 09 May 2017 Page 2 of 4
CE 529a Finite Element Analysis (3)
2017 Summer Semester — Tentative Course Syllabus
Lectures and Class Calendar
Assignments
Session Date Topic Textbook Reading Assignments Assignment Delivery
1 18-May Introduction to The Finite Element Method Chapter 1, Section 2.6, Section 3., 3.1, 3.10, 3.11 HW 1
2 23-May Variational Principles/ Project Assignment Chapter 1, Section 2.6, Section 3, 3.1, 3.10, 3.11 HW 2/ Project
Direct Method of Calculus of Variation,
3 25-May Section 3.12, 3.13, Section 4., 4.1, 4.2, 4.7, 4.8 HW 3 HW1, HW 2
Galerkin’s method, Constraints
Continuum Elements Part I: Isoparametric
Section 3.2, Section 4.4, Section 6., 6.1, 6.6, Section
4 30-May Elements, numerical Integration/ Project HW 4 HW 3
10., 10.1, 10.2, 10.3, 10.4, 10.5
Discussion
Continuum Elements Part I: Isoparametric
5 1-Jun Elements, numerical Integration/Project Chapter 10 HW 5 HW 4
Discussion
6 6-Jun Midterm Exam (90 min)
Static Condensation, Performance of
Elasticity Elements, Stress Calculations,
7 8-Jun Section 4.6, Section 7.5, Section 5.6, Chapter 10 HW 6 HW 5
Barlow’s points , Continuum Elements Part II,
Substructure
8 13-Jun Continuum Elements Part II Section 6.1, 6.2, 6.3, 6.4, Chapter 8, Chapter 11 HW 7 HW 6
Axisymmetric Elasticity Problems / Plate
9 15-Jun Chapter 9 HW 8 & HW 9 HW 7
Problems
10 20-Jun Plate Problems Chapter 12 HW10 HW 8 & HW 9
11 22-Jun Dynamics Problems /Project Delivery Chapter 16 HW 11 HW 10/ Project
12 27-Jun Free Vibration Analysis Chapter 16 HW 12 HW11
13 29-Jun Final Exam (120 min) HW12
14 4-Jul 4th of July Holiday No Lecture
15 6-Jul Shell Problems
Tuesday, 09 May 2017 Page 3 of 4
CE 529a Finite Element Analysis (3)
2017 Summer Semester — Tentative Course Syllabus
STATEMENT ON ACADEMIC INTEGRITY
USC seeks to maintain an optimal learning environment. General principles of academic honesty include the concept
of respect for the intellectual property of others, the expectation that individual work will be submitted unless
otherwise allowed by an instructor, and the obligations both to protect one’s own academic work from misuse by
others as well as to avoid using another’s work as one’s own.
All students are expected to understand and abide by these principles. SCampus, the Student Guidebook, contains
the Student Conduct Code in Section 11.00, while the recommended sanctions are located in Appendix A:
http://www.usc.edu/dept/publications/SCAMPUS/gov/
Students will be referred to the Office of Student Judicial Affairs and Community Standards for further review, should
there be any suspicion of academic dishonesty. The Review process can be found at:
http://www.usc.edu/student-affairs/SJACS/
The Viterbi Honor Council presents the following honor code:
Engineering enables and empowers our ambitions and is integral to our identities. In the Viterbi
community, accountability is reflected in all our endeavors.
Engineering + Integrity.
Engineering + Responsibility.
Engineering + Community.
Think good. Do better. Be great.
These are the pillars we stand upon as we address the challenges of society and enrich lives.
STATEMENT FOR STUDENTS WITH DISABILITIES
Any student requesting academic accommodations based on a disability is required to register with Disability
Services and Programs (DSP) each semester. A letter of verification for approved accommodations can be obtained
from DSP. Please be sure the letter is delivered to me (or to TA) as early in the semester as possible.
DSP Contact Information
Location: STU 301
Hours open: 8:30 a.m. until 5:00 p.m., Monday — Friday
Phone number: (213) 740-0776
Tuesday, 09 May 2017 Page 4 of 4
