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SYLLABUS
MAE
541-001
MAE 541-601
Advanced Solid Mechanics I
NC State University
| TuTh 1:30-2:45PM, (327 Daniels- Distance Ed classroom) |
Fall Semester 2008 |
Grading:
| Homework (partial grading, full solution postings) |
10% |
| Midterm #1(Thurs. Oct. 2) |
25% |
| Midterm #2 (Tues. Nov. 4) |
25% |
| Final Exam (Tues Dec. 9, 1-4PM) |
40% |
Textbook:
Advanced Strength and Applied Elasticity, Ugural and Fenster, Prentice
Hall, 4th Ed., 2003 ISBN 0-13-047392-8.
Suggested References:
1. Theory of Elasticity, Timoshenko and Goodier, McGraw Hill.
2. Continuum Mechanics, Mase, Schaum's Outline.
3. Advanced Mechanics of Materials, Ford and Alexander, Ellis Horwood.
4. Advanced Strength and Applied Stress Analysis, Budynas, McGraw Hill.
Course Schedule and Outline:
| Week |
Dates |
Lecture |
Topic |
Suggested Text Reading |
| 1 |
Aug. 21-22 |
1 |
Introduction to tensor analysis. |
|
| 2 |
Aug. 25-29 |
2,3 |
Coordinate transformations. |
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| 3 |
Sept. 1-5 |
4,5 |
Displacement. Strain-displacement. Strain tensors. Compatibility.
Principal strain. |
2.1-2.5 |
| 4 |
Sept. 8-12 |
6,7 |
Stress tensor. Equilibrium. Stress transformation. Boundary
conditions. |
1.1-1.16 |
| 5 |
Sept. 15-19 |
8,9 |
Hooke's law. Plane stress and strain. |
2.6-2.9 |
| 6 |
Sept. 22-26 |
10,11 |
Problem solving in 2D elasticity. Semi-inverse method. |
3.1-3.4 |
| 7 |
Sept. 29-Oct. 3 |
12 |
Airy stress function. Polar coordinates. Exam Thurs. |
3.5-3.9, 3.10 |
| 8 |
Oct. 6-10 |
13 |
Continued. Fall Break Thurs. |
|
| 9 |
Oct. 13-17 |
14,15 |
Examples. |
|
| 10 |
Oct. 20-24 |
16,17 |
Uniqueness theorem. Shear deflection in beams. |
5.4-5.8 |
| 11 |
Oct. 27-31 |
18,19 |
Timoshenko beam theory. Large deflection beam theory. |
|
| 12 |
Nov. 3-7 |
20 |
Exam Tues. Hertz contact stress theory |
3.13 |
| 13 |
Nov. 10-14 |
21,22 |
Axisymmetrically loaded structures- thick
walled cylinders. Compound cylinders and interference fits. Rotating
disks. |
8.1-8.6, |
| 14 |
Nov. 17-21 |
23,24 |
Thermal stress. St. Venants principle.
|
3.7, 2.14, 8.9 |
| 15 |
Nov. 24-28 |
25 |
Elastic singularities. Thanksgiving holiday Thurs. |
|
| 16 |
Dec. 1-5 |
26,27 |
Stresses in layered structures- thermal stress analysis,
edge effects. |
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| 17 |
Dec 9 |
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FINAL EXAM |
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Instructor's Academic Integrity statement
- The University's policy on academic integrity found may be found in
the Code of Student Conduct Policy www.ncsu.edu/policies/student_services/student_conduct/POL445.00.1.htm
- Students will be expected to abide by the following NC State Honor
Pledge on exams and other assignments as noted by the instructor.
"I have neither given nor received unauthorized aid on this test
or assignment."
Statement for students with disabilities:
" Reasonable accommodations will be made for students with verifiable
disabilities. In order to take advantage of available accommodations,
students must register with Disability Services for Students at 1900 Student
Health Center, Campus Box 7509, 515-7653. For more information on NC State's
policy on working with students with disabilities, please see the Academic
Accommodations for Students with Disabilities Regulation
http://www.ncsu.edu/policies/academic_affairs/pols_regs/REG205.00.28.php
"
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