EGM 5615 Synthesis of Engineering Mechanics (3)
Professor: Cesar Levy
Office EAS 3443
Office hours: TBD
Tel: (305) 348-3643 (voice mail)
e-mail:
Textbook: Cook and Young, Advanced Mechanics of Materials, 2nd Edition, Macmillan Publishing Co., 1999.
References: There are plenty of books at the FIU Library on the subject. Here is a list of a few books on the subject available at the library.
Engineering mechanics of solids. Egor P. Popov. Englewood Cliffs, N.J. : Prentice Hall, c1990.
Mechanics of materials. James M. Gere, Stephen P. Timoshenko. 3rd ed. Boston : PWS-KENT Pub. Co., c1990.
Engineering considerations of stress, strain, and strength, Robert C.
Juvinall, New York, McGraw-Hill [1967].
Theory of Elasticity Timoshenko and Goodier. 3rd Ed., McGraw-Hill
Course Objectives 1. obtain viable approximations to the solutions of design problems, without "full-field" (e.g., FEA) modeling and computer solution.
2. make the student understand the nature of the approximations of such "strength of materials" solutions and their likely impact on the reliability and robustness of the resulting design.
3. understand common mechanisms of failures, to analyze potential designs for criticality, and produce designs that can be expected to be reasonably safe from such failures.
Topics
1. Stress-strain-temperature relations, stress at a point (2 classes)
Review of elementary mechanics of materials, Introduction to theory of elasticity Principal stresses Octahedral and max shear stress; temperature relations
2. Theories of failure and fracture (2 classes)
Failure criteria; Fracture mechanics; Fatigue
3. Plane elasticity (2 classes)
Stress field solution; polynomial solution; Plane stress problems; circular hole;
4. Unsymmetrical bending of straight beams (2 classes)
Beam deflections in unsymmetric bending; Transverse shear
5. Shear center for thin-walled beam cross-sections (2 classes)
6. Bending of curved beams and rings (2 classes)
circumferential stress; Radial stress and shear stress; thin flanges; Thin walled section; deflections of sharply curved beams
7. Energy methods for deflections and static indeterminacy (3 classes)
Strain energy density; Reciprocal theorems; strain energy; Unit load method; Statically indeterminate problems
8. Beams on elastic foundations (3 classes)
9. Thick-walled cylinders (3 classes)
Pressurized cylinders; Shrink Fits
10. Torsion of non-circular cross-sections and Torsion with restraint of warping (2 classes)
Torsion of non-circular cross sections; Warping function; Prandtl stress function; Membrane analogy; Thin walled open Sections; Pure twist of single celled hollow cross sections
11. Stress concentration and contact stress (1.5 classes)
Stress concentration; contact stress;
12. Review and problem sessions (1.5 classes)
13. Tests (2 classes)
Homeworks are due a week after being assigned. These problems should be neatly worked out, preferably on engineering paper. Use the “Given, Required, Solution” format and completely draw appropriate diagrams and coordinate systems. All numerical answers should have the appropriate units. Note in each exam there will be one problem quite similar to the assigned problems. Problems submitted after the class hour the due day or the next day will be penalized with 15% of the total grade for that assignment. No homework will be accepted after two days without a medical or any other documented excuse. You must keep up with the homework in order to do well in class
Grading
Homework 15%
Exams (2 25% each) 50%
Final Exam 35%
Total 100%
Grades will be assigned based on your performance on the activities above. Final letter grades will be assigned as follows:
100 – 95 / A / 77-79.99 / B- / 60-64.99 / D90-94.99 / A- / 73-76.99 / C+ / Below 60 / F
85-89.99 / B+ / 70-72.99 / C
80-84.99 / B / 65-69.99 / C-
We meet on Wednesdays 10-1050am, and F 10-1150am in room EC3327.
FINAL EXAM (Cumulative): To be announced.
NOTE: This is a preliminary syllabus and it might be changed during the semester. Any change will be announced in class.