SYLLABUS ENGR 300 – Mechanics of Materials

Emphasizes stresses and strains due to axial bending and torsional loading; shear and bending moments diagrams; combined stresses; Mohr's circle; deformations and deflections. (3 credits) Spring 2001

Prerequisites: ENGR210

Instructor: Matthew R. Stein. SE106 x3489, ms@alpha.rwu.edu

Course Web Page: http://gamma.rwu.edu/users/ms/ENGR300

Textbook: Mechanics of Materials Beer, Johnston & DeWolf. McGraw Hill Edition: 3^rd ISBN 0-073659355

Course Objectives: By the end of the course, students will be able to:

1. Determine internal forces (axial forces, shears, moments, & torque) in a structural member.

2. Plot / interpret stress-strain curves.

3. Determine the principal stresses and strains and the maximum in-plane shear stress.

4. Determine stress concentrations due to geometric anomalies.

5. Use a stress-cycle diagram to predict the fatigue life of a structure.

6. Determine longitudinal stress and hoop stress for a thin walled pressure vessel.

7. Determine the deformations and/or normal stress in a member due to a change in temperature.

8. Analyze a statically indeterminate structure.

9. Analyze and design circular members in torsion.

10. Draw shear and moment diagrams for a beam.

11. Determine the maximum elastic internal bending moment for a beam.

12. Determine the partially- and full- plastic internal bending for a beam.

13. Design a prismatic beam.

14. Calculate stresses in a member subjected to combined loading.

15. Calculate beam deflections.

16. Analyze a statically indeterminate beam, based on compatibility of bending deformations.

17. Analyze/design columns for buckling.

Topics Covered:

SUBJECTS	LESSONS
Fundamentals of Stress and Strain
Internal Forces, Normal and Shear Stress	2
Introduction to Design	1
Strain	2
Mechanical Properties of Materials	1
Stress/Strain Transformation, strain gages	5
Axial Loads
Stress Concentrations and Fatigue	2
Thin-Walled Pressure Vessels	1
Axial Deformation	2
Beam Deflections and Buckling	2
Torsional Loads	3
Bending
Shear and Bending Moment Diagrams	3
Elastic/Inelastic Bending	3
Transverse Shear Stress	2
Design of Beams and Beam Deflections	4
Combined Loading	2
Course Overview / Course Critique	1
Reviews	3
Exams	3
Total Lessons	42

Class Schedule: Class meets three times weekly for 55 minutes.

Course Outline

LESSON BLOCK	LESSON NUMBER	COVERAGE	LESSON DATE	HOME WORK
	1	Internal Forces	22 Jan	Hw 1
	2	Normal and Shear Stress I	24 Jan
	3	Normal and Shear Stress II	27 Jan
	4	Introduction to Design	29 Jan	Hw 2
	5	Strain 1	31 Jan	Hw1 Due
	6	Strain 2	3 Feb
	7	Mechanical Properties of Materials Lab	5 Feb	Hw 3
	8	Fatigue	7 Feb	Hw2 Due
	9	Axial Deformation 1	10 Feb
	10	Axial Deformation 2	12 Feb
	11	Stress Concentrations	14 Feb	Hw 3 Due
	12	Review 1	18 Feb
	13	EXAM 1	19 Feb
	14	Area Moment of Inertia	21 Feb	Hw 4
	15	Column Buckling 1	24 Feb
	16	Column Buckling 2	26 Feb
	17	Elastic Torsion 1	28 Feb
	18	Elastic Torsion 2	3 Mar	Hw 5
	19	Statically Indeterminate Torsion Members	5 Mar	Hw 4 Due
	20	Elastic Bending 1	7 Mar
	21	Elastic Bending 2	10 Mar
	22	Shear and Bending Moment Diagrams 1	12 Mar
	23	Shear and Bending Moment Diagrams 2	14 Mar
	24	Shear and Bending Moment Diagrams 3	24 Mar	Hw 5 Due
	25	Review 2	26 Mar
	26	EXAM 2	28 Mar
	27	Thin-Walled Pressure Vessels	31 Mar	Hw 6
	28	Transverse Shear Stress 1	2 Apr
	29	Transverse Shear Stress 2	4 Apr
	30	Stress Transformation 1	7 Apr
	31	Stress Transformation 2	9 Apr	Hw 6 Due
	32	Stress Transformation 3	11 Apr	Hw 7
	33	Strain Transformation 1	14 Apr
	34	Strain Transformation 2	16 Apr
	35	Design of Prismatic Beams	21 Apr	Hw 7 Due
	36	Review 3	23 Apr
	37	EXAM 3 (MAKE-UP)	25 Apr
	38	Combined Loading 1	28 Apr	Hw 8
	39	Combined Loading 2	30 Apr
	40	Introduction to Beam Deflections	2 May
	41	Beam Deflection by Superposition	5 May
	42	Course Overview / Course Critique	7 May	Hw 8 Due

Course Administration

A. Importance of Mechanics of Materials

Mechanics of Materials links Statics with various types of engineering analysis and design. As such, understanding the principles covered in this course is vital and necessary for success in the field of engineering and architecture.

B. Course Organization

ENGR 300 begins with the fundamentals of stress and strain. By starting with a very general view of stress and strain, the student is able to understand the various loading conditions as inter-related topics. Follow-on topics include axial and torsional loads, bending, transverse shear, beam design and deflections, and column buckling.

C. How You Should Prepare for Lessons

1. Study: Mechanics of Materials is a challenging course. You are expected to spend two hours on average outside of class for each hour that you spend in class. Make sure that you completely and thoroughly understand the lesson that was just covered in class before moving on to the next lesson. Familiarize yourself with the upcoming lesson so that you get the most learning possible out of the time that you spend in class. A “rule of thumb” for time allocation is 75% on the lesson just covered 25% on the upcoming lesson. When studying you should focus on accomplishment of the individual learning objectives listed for each lesson. This will normally include development of an understanding of the definitions of new words for each lesson as well as the assumptions, principles and procedures used in solving the example problems.

2. Use the Text: Our text was carefully selected from many available mechanics of materials texts because the author does such a fine job explaining difficult concepts. Read and study the assignment in the text, paying particularly close attention to principles, assumptions and examples.

3. Solve Problems: This is the key to success in this course! No scientific or mathematical subject such as Mechanics of Materials can be mastered without working problems. Problem sets are assigned throughout the course and comprise selected representative problems from each day’s lesson that must be completed and turned in for grading. In addition, it will benefit you to work the Home Study Problems and the assignments on the tutorial disk. They are selected to cover the scope of the lesson. There is no objection to helping each other, but it will be much better for you to try to do them yourself before asking for help. Do not be satisfied with just getting the answers. Always try to understand the principles you used to solve each problem. The problems complement the lessons and should be worked and reviewed.

4. Prepare Your Notebook: The record shows that the best students keep the best notebooks. It is recommended that your notebook be organized to capture in an orderly fashion the notes taken for each lesson including new definitions, explanations of problems and procedures, classroom topics (especially different methods of solutions), and home study problems. A brief written explanation of the source of data used is especially helpful when reviewing home study problems.

D. Tools Available

1. Statics Notes and Text: The principles and procedures of ENGR 300 (Statics apply directly to Mechanics of Materials). Review your Statics lessons as appropriate. This course assumes you understand and can apply all concepts covered in ENGR 210.

2. Calculator: One of your most useful tools will be your calculator. Bring it to every class. The speed and accuracy of these calculators facilitate the numerical computations in the solution of many problems. It is expected that you can solve simultaneous equations, find the roots of a cubic equation, and change from rectangular to polar coordinates using your calculator.

3.

Significant Figures: You should not record more significant figures than can be justified, merely because they are easily obtained via a hand-held calculator or computer application. A practical rule to accomplish this is to use 4 figures to record numbers beginning with a “1” and 3 figures in all other cases. Unless otherwise indicated, the data given in a problem should be assumed known with a comparable degree of accuracy. A force of 40 pounds, for example, should be read 40.0 pounds, and a force of 15 pounds should be read 15.00 pounds.

4. Microcomputer: You will use a desktop computer and it's accompanying software a great deal in this course. All design reports must be done using a word processor and a spreadsheet.

5. Worksheets: In class problems have been provided as a supplement to the course Study Notes.

E. Design Problems

Design is an important part of your study of Mechanics of Materials. The design process is a systematic, repetitive analysis of a problem that converges on a range of acceptable solutions.

Students will be assigned out-of-class design problems. These basic design problems will present you with realistic, relevant problems requiring application of the theory and principles learned in the classroom, logical reasoning and decision-making, and computing skills.

The instructor will provide the format.

F. Exams

The three exams are a significant index of how well you have grasped the preceding series of lessons and are excellent preparation for the Final Examination. Each exam is worth 200 points. The problems on an exam will be similar to the example problems, home study problems, and assigned homework.

G. Grade Plan

EXAMS:			GRADING:	Grade Scale
	Lessons	Date	Hourly exams (2@200) 400 Pts	93.33%	A
Exam 1	1-11	2/19/01	Homework (10@40) 400 Pts	90%	A-
Exam 2	12-22	3/28/01	Design Projects 300 Pts	86.67%	B+
Exam 3 Make Up	23-33	<