ME 720: Advanced Mechanics of Solids

Dr. Ravi C. Penmetsa
Room: 227 Russ Engineering Center
Phone: 775-5089

E-mail:     
pravi@cs.wright.edu

Web Page:
http://www.wright.edu/~ravi.penmetsa

Office Hours:
T-TH: 1:30 - 3:00 PM, or by appointment
Note that you will get a quicker response by email than by any other mode of communication.

Prerequisites:
ME 614

Text
Ugural and Fenster, Advanced Strength and Applied Elasticity, 4th ed., Prentice-Hall

Additional References: Ragab and Bayoumi, Engineering Solid Mechanics:  Fundamentals and Applications, CRC Press, 1999.  Timoshenko and Goodier, Theory of Elasticity, 3rd ed., McGraw-Hill Classic Textbook Reissue, 1987.

Pre-Requisites:  It is assumed that the student has at least an introductory background in solid mechanics, such as that covered in an undergraduate course on strength of materials.  Basic knowledge of vector calculus, differential equations and matrix algebra is also assumed.

Course Schedule

SUBJECT

TEXT

Review of Elementary Concepts, St. Venant's Principle,  Superposition

1, 2

Basic Assumptions of Linear Elasticity,

Equilibrium Equations, Indicial Notation, Transformation of Stress

1

Principal Stresses in 3-D,  Coordinate Transformations

2

Analysis of Strain, Compatibility, Elastic Stress-Strain Relations

3

 Generalized Hooke's Law, Summary of 3-D Elasticity,

Boundary Conditions

3

Plane Elasticity, Airy Stress Function

3

Last day to drop without a record of "W"

 

Polynomial Solutions, Bending of Beams (Exact Solutions)

3, 5

EXAM I

(Through Lecture 9/23)

 

Bending of Beams, Cont.

5

Thermal Stresses, Relations in Polar Coordinates

3

 Relations in Polar Coordinates, Cont., Point Load Solutions

3

Point Load Solutions, Cont., Stress Concentrations

3

Axisymmetric Problems, Stresses in Disks and Cylinders

8

Stresses in Disks and Cylinders, Cont.

8

Last day to drop with a grade of "W"

 

Torsion of Prismatic Bars

6

EXAM II

(Through Lecture 10/21)

 

Torsion, Cont.

6

Energy Methods in Solid Mechanics

2, 10

Energy Methods, Cont.

10

Rayleigh-Ritz Method, Application to Buckling

10, 11

FINAL EXAM, 8:00-10:00 PM

 

Homework:  Unless otherwise noted, homework is due one week after date assigned.  As solutions to homework problems will be posted online (password:  me720), no late homework will be accepted without prior instructor approval.

Exam Policy:  The only materials permitted for each midterm exam are the textbook (Ugural & Fenster) plus whatever you can fit on ONE SIDE of an 8.5"x11" HANDWRITTEN  crib sheet.  The textbook plus a total of THREE (3) crib sheets are permitted for the Final Exam.

 Grading Policy:  Homework 20%, Exam I 25%, Exam II 25%, Final Exam 30%

 Grading Scale:  A course average within each of the following ranges will guarantee you at least the corresponding letter grade:  A: 85-100, B: 70-85, C: 60-70, D: 50-60, F: <50.

 

© Dr. Ravi Penmetsa 2004. All rights reserved