Catalog Information: Credits 3, Prerequisite: EGM 3520, CGS 3422, EML 3520, EML 3005
Instructor: Dr. Ashok V. Kumar, Associate Professor, Department of Mechanical Engineering. Office: MAE-C 106, Phone: 392-0816, Email: akumar@ufl.edu.
Class time and location: MWF 8th period (3:00 PM-3:50 PM) in FLG 270
Office hours: Instructor: MWF 9:30-10:30 AM, TA: TBA
Text books:
“A First Course in the Finite Element Method”, by Daryl L. Logan
Catalog description: Stress-strain analysis and design of machine elements; finite element analysis.
The objective of this course is to introduce students to the finite element method which is the most widely used numerical method for engineering analysis. The course exposes students to analytical and numerical methods for computing stresses and strains in structures, use of finite element software for static structural analysis, application of design and failure criteria to ensure that mechanical components can carry the design load without failure. A brief outline of the course is provided below.
1. Introduction
2. Matrix algebra
3. FEA applied to
springs; Spring elements
Direct Stiffness Method
4. Bar and Truss
elements
Analysis of Truss-like structures
Truss analysis using FEA software
5. Review of Beams
Hermite Beam Element
Beams with Distributed loads
Analysis of Frame-like Structures
Beam and Frame analysis using FEA software
6. Equations of
Elasticity
Definition Stresses; components; notation,
Transformation of stresses using Matrix methods
Principal stresses, Principal directions
Maximum shear stresses
Displacement field; strain components
Strain; principal strains, principal directions
Hooke's law (3D and 2D), Hooke’s law eg.,
7. Theories of failure
Maximum normal stress theory
Maximum shear stress theory
Von-Mises Criterion
8. Equilibrium Eqs;
Principle of Virtual Work (PVW)
9. 2D finite elements
for elasticity problems
Constant Strain Triangular elements
Application to Plane Stress and Plane Strain problems
2D FEA using Software
2D Axisymmetric problems
Discussion of Modeling issues
10. Iso-parametric 2D
elements
4 node Quadrilateral elements
Application to Plane Stress and Plane Strain problems
11. 3D Stress analysis
Tetrahedral Element
Iso-parametric 3D Element
12. Intro to Design
Optimization
Defining an optimization problem
Application to structural design
Program objectives supported by this course include educating students to:
1. Comprehend quantitative and analytical methods
2. Understand and perform engineering analysis of machine systems
3. Apply mathematics, science and engineering to design
4. Communicate ideas graphically and in writing
Homework: assignments are posted on the class website. These will not be graded but solutions will be discussed in class and posted on the web.
Examinations: There will be four in-class examinations worth 50% of the final grade.
Projects: These are design or analysis problems involving the use of finite element software.
Grading: Exams/Quizzes: 55%, Homework/Projects: 43%, 2% class participation and student evaluation.
All students admitted to the
This statement is a reminder to uphold your obligation as
a student at the
Attendance: is very important since some of the material covered in class is not in the textbooks. If you have to miss a class, arrange to get notes from a classmate and meet with TA or instructor during office hours to clarify any material you could not understand.
Tentative Exam schedule: Quiz: September 5th
Exam 1: Sept., 21st, Exam2: Oct., 12th, Exam3: Nov., 5th, Exam4: Dec., 3rd
Projects: Must be submitted on time in class. Late projects submitted by the next class will receive 80% credit. Projects received later than that will not be accepted without medical or other valid reasons.