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CE 507: Mecahnics of Solids 

Course Description 

The materials presented will serve as a basis for the studies of the fundamental theory of linear elasticity applicable to multiple branches of solid mechanics, including the theories of finite elements, geotechnical (soil) mechanics, structural mecahnics, elastic wave propagation applicable to earthquake engineering, plates and shells and composite materials. The course is valuable and fundamental for students prepared to be practicing engineers and/or research scientisits.

Learning Objectives and Outcomes 

By the end of the course, the student will be able to: 

1. Understand, learn and use the theory of tensors in the theory of stresses, deformation and strains. 

2. Study the theory of deformation, strains and stresses nd treated separately and independently. 

3. study their dependence through the three-dimensional generalized stress-strain theory, the so-called constiutuive relations of linear, isotropic materials. 

4. Learn the two-dimensioanl theory of plane elasticity in both rectangular and polar coordindates using Airy Stress functions 

5. Learn the three-dimensioanl theory of elastic bars subjected to end loads. 

6. Learn the theory of bars of arbitrary cross-section subjected to torsion using Prandtl torsion functions 

7. Study the Bending of Bars, displacement of cantilever Beams subjected to Transverse End forces in three-diemsnion. 

8. Study energy theorems, complementary energy theorems, virtual displacement methods and related Rayleigh-Ritz methods. 

9. Study plasticity and viscoelasticity 

Prerequisite or Recommended Preparation:undergraduate Civil or Mechanical engineering course in Mechanics of Deformable Bodies or a course in Solid Mechanics 

Co-Requisite(s): None 

Concurrent Enrollment: None 

Course Notes 

This is an internet course presented by DEN, Distnace Educational Network 

https://courses.uscden.net/d2l/login The class will have letter grade. 

The class will use the DEN blackboard website as the primary medium for distribution of course material, including assignments, typed and written lecture notes and for syllabus, announcements and examination dates. 

Technological Proficiency and Hardware/Software Required N/A 

Textbook and Supplementary Materials 

P.L. Gould: Introduction to Linear Elasticity, Springer-Verlag, 3rd Ed. ISBN 9781461448327 or 4th Ed., ISBN 0387941002, (or latest Ed.) OR Syllabus for CE 507, Page 3 

Ref: A. P. Boresi ad K.P. Chong Elasticity in Engineering Mechanics, Elsevier, ISBN 0- 444-01177-3 

The above textbooks areavailable for purchase from the USC bookstore. Supplemental reading material will be provided as needed. 

Description and Assessment of Assignments 

The points per homework assignment and their % grade in the table below are only approximate. 

All homework assigned are due on the first class of next week 

Grading Scale 

Students will be graded based on their total scores (possibly relative to the overall class performance) The following is merely a rough guideline, and is subject to revision depending on the overall class performance. 

Assignment Points % of Grade 

Homework 6-7Q 10pt/Q 16% Midterm I 100 25% Midterm II 100 25% Final 100 34% TOTAL 100% 

Assignment Submission Policy 

Unless otherwise stated, homework assignments are due at the beginning of the class and/or submitted in DEN dropbox. Solutions will be posted on DEN blackboard shortly after the assignments are turned in. 

Grading Timeline 

The homeworks and midterms will be graded and handed back roughly one week after their due date. Assignment Points % of Grade 1 60 to 70 1.33 2 60 to 70 1.33 3 60 to 70 1.33 4 60 to 70 1.33 5 60 to 70 1.33 6 60 to 70 1.33 7 60 to 70 1.33 8 60 to 70 1.33 9 60 to 70 1.33 10 60 to 70 1.33 11 60 to 70 1.33 12 60 to 70 1.33 TOTAL 16 

Additional Policies 

Late homework will not be accepted. No exceptions except instution-established emergency reasons; credit for such late homework is with the discretion of the instructor. 

Reasonable collaboration in solving homework problems is allowed. This includes reviewing and discussing the problems with current CE 471 students, TA or the instructor. Everybody has to write his/her own solution independently and make sure to fully understand it. Exchanging solutions, consulting with people other than class members, finding solutions on the web or elsewhere, etc. are not allowed. Violations result in losing the credit for the entire homework set in addition to a significant percentage of the overall course grade, all with the discretion of the instructor. 

All answers should be clearly and fully justified. If the steps are not clear, points will be deducted even if the final answer is correct. 

Attendance will be taken in every lecture. The students are expected to be attentive, and in particular refrain from using computers or hand held devices, except for the sole purpose of the class. Noncompliance will result in point deduction from class participation part of the grading, and possibly a percentage of the overall course grade, all with the discretion of the instructor.