Course Syllabus
Spring of 2009
Class hours: Monday,
Wednesday and Friday, 1:00 - 1:50 AM, MEB 241
Office hours: MWF 2:00 - 3:00
PM, & TT 2:30-3:00, MEB 221 or by appointment
web-site: http://www.owlnet.rice.edu/~mech400
Prof. Ed Akin
Office: Mechanical
Engineering Building, Room 221
Phone: (713) 348-4879
Email: akin@rice.edu
Advanced topics in solid
mechanics including energy methods, the principle of virtual work, pressure
vessels, buckling, aspects of elasticity, curved beams, fracture mechanics, and
their software assisted application to the reliable design of structures. The three fundamental aspects of these problems
include equilibrium, geometric compatibility, and material constitutive
laws. The course will build on concepts
introduced in MECH 311.
R.D. Cook and W. Young, Advanced
Mechanics of Materials, Prentice Hall, 2th Edition, 1999.
A.P. Boresi,
Advanced mechanics of materials
5th ed, Wiley, 1993.
W. Bickford, Advanced Mechanics of Materials, Prentice Hall, 2001.
R. Solecki and R.J. Conant, Advanced Mechanics of Materials, Oxford Univ. Press, 2003.
A.C. Ugural, Advanced strength and applied
elasticity, Prentice Hall, 2003.
M.
Vable, Intermediate mechanics of materials, Oxford Univ.
Press, 2008
Homework 70%
Midterm
Exam 15% (take-home)
Final
Exam 15% (take home)
Homework will be assigned on the last class of the week (usually Friday). It will be due on the last class of the following week (usually the next Friday). Homework is meant as an exercise and you are encouraged to consult anyone (students, teaching assistants, me) and anything (notes, books, your own experiments) if it helps you to understand the material. However, you may not consult another person's completed solution to any given problem or solutions from past years.
The midterm exam will be assigned on a Friday and will be due at the beginning of the next Wednesday class. The final exam will be assinged on the last day of classes and due at the end of the finals period. Tests are taken under the Rice Honor Code system. You may only consult the textbook, any materials posted on the website, any software used in class, and any notes that you have personally taken. You may use a calculator, including programmable calculators. The test must be taken during a 3-hour period, with an optional single 30-minute break.
Jan 5 Introduction, Review
Jan 7 Discontinuous distribbutions (web posting)
Jan 9 Discontinuous distribbutions, TK Solver
Jan 12 Analytic FE spring models
Jan 14 Analytic FE spring models
Jan 16 3D vectors and stresses
Jan 19 NO CLASS, M.L. King day
Jan 21 Index notation and transformations
Jan 23 Principal stresses, 3D Mohr's circle
Jan 26 Stress cubic equation, TK Solver
Jan 28 Principal strains, Strain energy
Jan 30 Failure criteria
Feb 2 Energy methods
Feb 4 Castigliano's theorems
Feb 6 Castigliano's theorems
Feb 9 Priniple of stationary potential energy
Feb 11 Rayleigh-Ritz method
Feb 13 1D finite element concepts
Feb 16 Classic cubic beam element
Feb 18 Beam on elastic foundation element
Feb 20 Review, TEST 1 (take home, open notes)
Feb 23 Planar non-symmetric curved beams
Feb 25 Planar curved beams, TK Solver
Feb 27 Planar curved beams, TK Solver
Mar 2 - 6 NO CLASS, spring recess
Mar 9 Planar curved beams, TK Solver
Mar 11 Elasticity, equilibrium equations
Mar 13 Saint-Venant's principle
Mar 16 Traction boundary conditions
Mar 18 Airy stress functions
Mar 20 2D Airy stress functions
Mar 23 2D Airy stress functions, Maple
Mar 25 Torsion of non-circular shafts
Mar 27 Torsion of non-circular shafts
Mar 30 Membrane and thermal analogies
Apr 1 Thick wall cylinders
Apr 3 NO CLASS, break
Apr 6 Thick wall cylinders
Apr 8 Thick wall cylinders
Apr 10 Linear fracture mechanics
Apr 13 Linear fracture mechanics
Apr 15 Linear fracture mechanics
Apr 17 Review (Takehome final, open book)
Any student with a disability requiring accommodations
in this course is encouraged to contact me after class or during office
hours. Additionally, students should
contact Disabled Student Services at the Ley Student Center.