MAE 131A: Fundamentals of Solid Mechanics

 

Fall 2008

 

Course Description

Stress and strain, generalized Hooke’s law. Mechanics of deformable bodies under torsional, shearing and bending loads. Deflection of beams and stability of columns. St. Venants semi-inverse torsion analysis. Strain energy and energy principals. Design of statically indeterminate rods, shafts, beams and columns. Professional ethics.

 

Textbook

Mechanics of Materials, 5th edition. Authors: Ferdinand P. Beer, E. Russell Johnston, JR. John T. DeWolf

 

Chapters to be covered

Ch 1: Concepts of Stress

Ch 2: Axial Loading

Ch 3: Torsion

Ch 4&5: Pure Bending

Ch 6: Shearing Stress in Beams

Ch 7: Transformation of Stress and Strain

Ch 8: Design of Beams Under Combined Loading

Ch 9: Deflections of Beams

Ch 10: Columns

Ch 11: Energy Methods

 

Instructor: Professor Vitali F. Nesterenko

                    277 EBU II; Phone: 858-822-0289;

                    E-mail: vnesterenko@ucsd.edu

 

Lectures: Tuesday & Thursday; 3:30 – 4:50 pm; Center Hall 105

Problem Solution Session: Tuesday; 5:00 – 5:50 pm; Peterson Hall 104

Office Hour: Thursday; 5:00 – 6:00 pm; EBU II, 277

 

Grading

Homework                       5%

Midterm Exams 1&2       40%

Final Exam                       55%

 

TA: Morgan Machado

        E-mail: mrmachad@ucsd.edu

        Phone: 916-390-6287

        Office Hours: Tuesday 10:00am - 12:00pm; EBU II 305

                               Friday 11:30am – 12:30pm  &  2:00pm - 3:00pm; EBU II 305

 

Homework

            Problems will be assigned on Thursday of each week and collected six days later on the next Thursday (before or after the lecture, BUT NOT DURING THE LECTURE). The usual practice will be: “No late homework”. Solutions to the homework will be available a few days after they are due. Homework problems may be discussed with fellow students and consultation with the professor or TA for general direction on problems is encouraged; however, solutions must be your own work. Do not be surprised if a problem solved by the professor or TA during the lecture or discussion session is given as an exam problem.

 

Homework 1

4th Edition: 2.17, 2.24, 2.37, 2.39

5th Edition: 2.19, 2.27, 2.37, 2.41

 

Homework 1 Solutions

MAE131A_HW1.doc

 

Homework 2

4th edition: 2.17, 2.24, 2.37, 2.39

5th edition: 2.19, 2.27, 2.37, 2.41

 

Homework 2 Solutions

MAE131A_HW2.doc

 

Homework 3

3rd edition: See 2.49 or 2.50 in 5th or 4th edition, 2.61, 2.76, 2.89

4th edition: 2.50, 2.58, 2.73, 2.91

5th edition: 2.49, 2.55, 2.73, 2.89

 

Homework 3 Solutions

MAE131A_HW3.doc

 

Homework 4

4th edition: 3.7, 3.13, 3.35, 3.72

5th edition: 3.8, 3.11, 3.36, 3.73

 

Homework 4 Solutions

MAE131A_HW4.doc

 

Homework 5

4th edition: 3.82, 4.5, 4.18, 4.21

5th edition: 3.83, 4.3, 4.16, 4.22

 

Homework 5 Solutions

MAE131A_HW5.doc

 

Homework 6

4th edition: 4.47, 4.50, 4.103, 4.120

5th edition: 4.48, 4.51, 4.103, 4.120

 

Homework 6 Solutions

MAE131A_HW6.doc

 

Practice Midterm 1

MAE131A_PracticeMT1.doc

 

Midterm 1 Solutions

MAE131A_MT1.doc

 

Homework 7

4th edition: 4.127, 4.129, 4.133, 4.136

5th edition: 4.126, 4.129, 4.134, 4.135

 

Homework 7 Solutions

MAE131A_HW7.doc

 

Practice Midterm 2

MAE131A_PracticeMT2.doc

 

Practice Midterm 2 Solutions

MAE131A_PracticeMT2_Solutions.doc

 

Homework 8

4th edition: 5.17, 5.21, 5.65, 5.85

5th edition: 5.17, 5.21, 5.65, 5.87

 

Homework 8 Solutions

MAE131A_HW8.doc

 

Midterm 2 Solutions

MAE131A_MT2.doc

 

Homework 9

4th edition: 6.13, 6.15, 6.21, 6.27

5th edition: 6.13, 6.17 or 6.18, 6.21, 6.26

*** Due Monday December 1st ***

 

Homework 9 Solutions

MAE131A_HW9.doc

 

Homework 10

4th edition: 7.54, 7.61, 7.142, 7.158

5th edition: 7.55, 7.61, 7.145, 7.158

*** Due Friday December 5th ***

***You can turn in the homework in Dr Nesterenkos office or the box outside of his office before 5pm.

 

Homework 10 Solutions

MAE131A_HW10.doc

 

Practice Final

MAE131A_Practice_Final.doc

 

Lecture

            Attendance is expected, but is not mandatory. You are responsible to digest all information presented in class whether or not you are in attendance.

 

Exams

            Exams will be closed book, only a formula sheet will be allowed. The final exam will be comprehensive.

 

Tentative Exam Dates

            Midterm 1       Tuesday, October 21, 3:30-4:50pm

            Midterm 2       Tuesday, November 18, 3:30-4:50pm

            Final                Monday, December 8, 3:00-6:00pm

                                    Final location is Price Center Theater  

 

Announcements

Office hours for Fridays have been changed

They will now be at 11:30am – 12:30pm and 2:00pm – 3:00pm in EBU II 305.

 

Dr. Nesterenkos office hour has been changed. It is on Thursdays from 5-6pm. 

 

As of today, 11-5-08, midterms can be picked up from Aimee in her office, EBU II 281. You will need to show her ID to receive you midterm. Old graded homework will now be available outside of her office in a box marked MAE131A on the table. Each week the TA will place the homework outside of her office after it has been returned in class.

 

Midterm 2 topics

3D Hooke’s law: Make sure that you know how to do problems for a composite with Young’s modulus and Poisson’s ratio that might not be the same in all directions.

 

Torsion: Know how to handle problems involving Tau, Theta and Phi. Make sure that you understand the homework and similar problems.

 

Bending:

1) Bending of beams, beams that have applied moment and may be fixed at one end.

2) Composite beams i.e. may be made of concrete with steel reinforcement.

 

Midterm 2 will cover the material from the middle of homework 3 through homework 6.

 

Midterm 1 Average: 27.0

Midterm 1 Standard Deviation: 6.4

 

Midterm 2 Average: 33.9

Midterm 2 Standard Deviation: 5.6

 

The location for the final is now the Price Center Theater

The date and time are still Monday, December the 8th from 3pm-5:59pm