ME 302 Materials Mechanics

UNLV Department of Mechanical Engineering

Fall Semester 2006

 

Course Outline     Instructor Contact Info     Course Objectives     Grading     Prerequisites

 

Homework Guidelines     Office Hours     Cheating     Disability Resource Center

 

Design Project Description     Project Ideas        Project Deadlines     Design Process

***STARTING FALL 2006***

 

The Mechanical and Civil Engineering Departments will offer their own versions of Mechanics of Materials.

ME students should sign up for ME 302 and ME302L.

CEE students should sign up for CEE 370 and CEE 370L.

 

CEE 370 Engineering Mechanics of Deformable Bodies

UNLV Department of Civil and Environmental Engineering

 

                Professor:     Aly Said, Ph.D.

                    E-Mail:     asaid@egr.unlv.edu

   Days/Time/Room:     TR / 11:30 AM – 12:45 PM / CBC C-120

 

Additional ME 302 Course Materials

 

ME 302 Materials Mechanics Introductory Lecture

 

Sample Exam

 

Exam 1 Solutions

 

Exam 2 Solutions

 

Exam 3 Solutions

 

Load, Shear, & Moment Relationships

 

Course Outline, Fall 2006 Version 2.0, Effective 9/12/06

 

Dates

Ch

Sec

Topics

Homework Due Dates

Proposed Lab Plan

T 8/29

R 8/31

1

1

1-6

7-10

Concept of Stress, Normal Stress

Components of Stress

Send an e-mail to Dr. O’Toole

so he can create a class list.

No Lab

T 9/5

R 9/7

1

2

11-13

1-8

Safety Factors

Stress-Strain curves, Axial Loading

 

Ch. 1: 6, 12, 17, 26, 36, 40, 47, 52

Intro and Safety

T 9/12

R 9/14

2

2

9-10

11-15

Static Indeterminacy

Poisson’s Ratio, Shearing Strain

 

 

1: Statistics and

   Uncertainty

T 9/19

R 9/21

3

3

1-4

5-8

Torsion: Stresses, Angle of Twist

Statically Ind. Torsion, Power

Ch. 2: 5, 13, 18, 27, 37, 44, 51, 66, 72, 81

 

2: Strain Gage Bonding

T9/26

R 9/28

4

 

1-5

 

Bending: Stress & Deformation

EXAM 1: Chapters 1-3

Ch. 3: 2, 14, 28, 42, 50, 59, 68, 75, 82

 

2: Strain Gage Bonding

T 10/3

R 10/5

4

5

6-12

1-2

Bending: Eccentric Axial Loading

Shear & Bending Moment Diagrams

Project Title

 

3: Tensile Testing

T 10/10

R 10/12

5

5

3

4

Load, Shear, & Moments

Design of Beams for Bending

Ch.4: 7, 12, 18, 35, 46, 51, 103, 105

 

3: Tensile Testing

T 10/17

R 10/19

6

6

1-3

4-6

Shear Stresses in Beams

Shear in Narrow Rectangular Beams

Ch. 5: 10, 20, 25, 27, 45, 46, 60, 68, 73

4: Poisson’s Ratio

T 10/24

R 10/26

6

7

7

1-3

Thin Walled Members

Transformation of Plane Stress

 

Ch. 6: 1, 14, 17, 23, 34, 37, 45, 64, 71

5: Torsion

T 10/31

R 11/2

 

7

 

4-6

EXAM 2: Chapters 4-6

Mohr’s Circle for Plane Stress

 

6: Bending – Modulus  
     of Elasticity

T 11/7

R 11/9

8

8

1-2

3

Principal Stresses in Beams & Shafts

Stresses Under Combined Loading

 

Ch. 7: 3, 11, 25, 32, 71, 92, 102, 104, 116

7: Beam Deflections

T 11/14

R 11/16

8

9

3-4

1-3

Stresses Under Combined Loading

Equation of Elastic Curve

 

Ch. 8: 1, 9, 19, 27, 31, 37, 49, 55

Projects

T 11/21

R 11/23

9

 

4-5

 

Load-Deflection Relationship

Thanksgiving

 

No Class

Projects

T 11/28

R 11/30

9

 

7-8

Statically Indeterminate Beams

EXAM 3: Chapters 7-9

Ch. 9: 5, 16, 21, 25, 65, 73, 79, 84

Projects

T 12/5

R 12/7

10

10

1-4

1-4

Euler’s Column Formula

Columns: Centric Loading

 

Design Project Report Due

8: Column Buckling

R 12/14

 

 

Final Exam   10:10 AM

Ch. 10: 4, 12, 15, 23

 

 

Instructor Contact Information

 

Professor:

Brendan J. O'Toole, Ph.D.

Office:

TBE B122

Phone:

895-3885

E-Mail:

bj@me.unlv.edu

Days/Time/Room:

TR / 11:30 AM – 12:45 PM / MPE 232

Text:

“Mechanics of Materials”, Beer, Johnston, & DeWolf, McGraw Hill, 2006

O’Toole Website:

http://www.egr.unlv.edu/~bj/

 

 

Course Objectives

The overall goal of this course is to learn how to design and analyze simple structures for predetermined strength and deformation requirements. Your learning objectives for the semester are to:

 

  1.   Learn the Vocabulary. It is important to read the text carefully. There are many new terms to learn and many subtle differences between the definitions of words. For example, you will learn about half a dozen new variations to the meaning of the word ‘stress’.

 

  2.   Improve Your Skill at Drawing Free Body Diagrams. Free body diagrams were used in your Statics class to model real physical problems with simplified sketches. This is a very important skill that is used to start and set up most Mechanics of Materials problems.

 

  3.   Learn About Material Behavior. All materials deform when loaded by mechanical forces or temperature changes. You should learn the basic principals of material behavior and some of the failure mechanisms of materials and structures. You should also learn the important properties of the most common materials used for engineering structures, machines and equipment.

 

  4.   Learn How To Solve Mechanics Problems. This is the largest part of the class. The solution procedure for most mechanics problems involves one or more of the following tasks:

            • A statics analysis of a component to find the internal reactions (forces & moments)

            • Determine stresses and strains in a component based on internal reactions

            • Find the deformation of the component

            • Compare calculated values of stress & deformation with known acceptable values

 

  5.   Improve Your Engineering Design Skills. A semester-long design project is also part of this course. All students will be part of a 3-4 member team working on the design of a realistic structure or mechanism. You will apply the analysis skills learned during the semester as part of the entire design project.

 

Prerequisites

The following UNLV courses (or their equivalent) are required as prerequisites: EGG 206 Engineering Mechanics I (Statics), MAT 182 Calculus II and PHY 180 Physics I.

 

 

Homework Assignment Guidelines:

Homework is due at the beginning of class on the dates highlighted in bold on the outline. For example, homework # 1 is due on Thursday, September 7. Homework assignments and due dates may change and will be announced in class. Sloppy or unprofessional work will be returned ungraded. Late Homework Will Not Be Accepted because solutions will be posted soon after the due date. Solutions will be posted on the MEG 302 Course Website. A password will be provided in class to allow access to the HW solutions.

 

Submit your assignments on 8.5” x 11” paper. Be sure to include your name at the top of the first page. Include the following information for each problem:

  •   Most of the problems will require a sketch of the problem along with one or more Free Body Diagrams showing the applied loads along with the external and internal reactions.

  •   Show all of your work. Make reference to equations in the book if you do not want to repeat them.

  •   Draw a box around your final answer or answers. You will not receive credit for a correct answer if you have not shown the work.

 

Each problem will be graded on a scale from 0-10. The homework counts as a significant percentage of your final grade so do not blow it off. Some of the problems may take several hours so manage your time accordingly. You are encouraged to help each other figure out the problems but do not copy each other's work. 

 

There are 82 assigned homework problems throughout the Fall 2006 semester for a total of 820 possible points. Your homework grade will be calculated using 750 points as the maximum so there are 70 extra credit homework points available for the semester.

 

The homework is assigned for three main reasons:

                    •   To elaborate on material discussed in class and in the text

                    •   To provide practice in solving mechanics problems

                    •   To assess your understanding of the material

 

OFFICE HOURS

O’Toole Office Hours Spring 2006:

        Monday: 10 - 2

        Tuesday: 2 - 4

        Wednesday: 10 - 2

        Thursday: 1:30 – 2:30

        Friday: 2 - 4

 

The best way to meet with me is to send e-mail to set up an appointment. I check my e-mail throughout the day and should respond quickly. I can be reached at:

                                         Office Phone:      895 - 3885

                                                   E-mail:      bj@me.unlv.edu

 

GRADING

Your grade for the course will be based on weekly homework assignments, three in-class exams, a group design project and a comprehensive final exam which are weighted as shown below:

 

In-Class Exams (3)

Homework

Design Project

Final Exam

45 % (15 % each)

15 %

10 %

30 %

 

The letter grade cut-offs vary slightly from semester to semester. The table below shows an approximate correlation between final percentage grade and final letter grade.

 

88 - 100%

78 - 87%

73 - 77%

68 - 72%

58 - 67%

50 - 57%

< 50%

A

A- to B+

B

B- to C+

C

D

F

 

CHEATING

Copying each other's homework assignments is considered cheating. Any form of cheating on homework or an exam will result in a failing grade for the course. All of the assigned homework problems have answers in the back of the book. Use this information to check your work. DO NOT PUT THE ANSWER FROM THE BACK OF THE BOOK AT THE END OF YOUR PROBLEM IF YOUR WORK DOES NOT SUPPORT THIS ANSWER OR YOU WILL GET ZERO POINTS FOR THE ENTIRE ASSIGNMENT.

 

Time Management

This will be a difficult class.

Plan to spend 6-10 hours per week on homework assignments.

Plan to be completely stumped on some of the problems.

Plan your work periods at least 2 days before the due date.

Plan to have questions after your first attempt at solving the homework problems.

Write your questions down when you think of them, Ask for help until you understand the problem.

 

DISABILITY RESOURCE CENTER

If you have a documented disability that may require assistance, you will need to contact the Disability Resource Center (DRC) for coordination in your academic accommodations. The DRC is located in the Reynolds Student Services Complex room 137. Their phone number is 895-0866.

 

Additional Resources

 

Engineers Edge

http://www.engineersedge.com/mechanics_material_menu.shtml

 

 

What is eFunda?

eFunda stands for engineering Fundamentals. Its mission is to create an online destination for the engineering community, where working professionals can quickly find concise and reliable information to meet the majority of their daily reference needs.

http://www.efunda.com/formulae/formula_index.cfm

 

 

Material Properties (MATWEB)

http://www.matweb.com/index.asp?ckck=1

 

 

Source of Materials

http://www.mcmaster.com/

 

 

Unit Conversion

http://www.digitaldutch.com/unitconverter/

 

GROUP DESIGN PROJECT

 

Scope of Project:  The design project provides you with an opportunity to apply the topics learned in class to any mechanics oriented design problem of interest to you and your teammates. You and your team will be responsible for:

  • Identifying a design problem (A list of examples is available on the course website)
    • (e.g. wall mounted bookshelf for home)
  • Defining a specific set of objectives and constraints for the problem (ex. Below)
    • The bookshelf must support 20 textbooks and 20 large 3-ring binders
    • The bookshelf must not sag in the middle by more than 0.125 inches
    • The bookshelf must be less than 14 inches deep
  • Use a standard design procedure for defining a list of design criteria, alternative designs to be considered, design variables, scheduling, analysis, etc. You should have completed a project like this as part of your Introduction to Engineering Design Course. An outline of this procedure is posted on the class website.
  • You will not be building or testing anything for this project. Your project must specify a recommended design with specific dimensions, materials, and costs outlined. You must also make it clear how you arrived at this final design and show why it is better than other alternatives under consideration.

 

Selection of Project: You may choose any project provided it is:

  • acceptable to the instructor
  • utilizes (at least) the principles covered in Chapters 1 through 8
  • Includes a group of 2-5 students
  • You may not select a project that is a copy of a problem in the textbook.

 

 

Design Project Deadlines:

 

Submit list of group members and project title:                                           September 28, 2006

      Send to bj@me.unlv.edu, include all student e-mail addresses along with the title of the project.

 

Final written report due by:                                                                           Friday, December 8, 2006

 

Report:     The written report will be graded on its effective use of the engineering design process, mathematical correctness, grammar, spelling, style of writing, clarity, and brevity, as well as other criteria usually applied to a written report. Send final report to bj@me.unlv.edu, as an attached MS WORD file. If you are not using MS WORD, see instructor. Hard copies of reports will NOT be accepted. All figures, drawings, equations, etc. must be imported into the report document. You can scan handwritten equations or use Equation Editor, MathType, MathCad, or a similar tool for equations.

 

 

DESIGN PROCESS

 

The following outline is a brief overview of the design process. You should be familiar with the design process from the required “Introduction to Engineering Design” course. The presentation and report for your project should include

•         Identify Need

–       A customer usually approaches an engineer or engineering team with a problem. Your group must act as the customer initially by selecting a problem (approved by the instructor).

•         Problem Definition

–       Try to come up with a specific definition of the problem

–       Consult with the customer before proceeding, make sure your definition matches the need

•         Search for Information

–       Gather information from as many sources as possible

•         Library books                             -   Professional organizations

•         Library technical journals          -   Internet (WWW)          

–       Also examine existing products

•         Criteria and Constraints (All projects will have different design criteria and constraints. The following is a partial list of possible criteria and constraints.)

–        Cost                                                   -   Compatibility

–        Reliability                                          -   Safety Features

–        Weight                                               -   Noise Level

–        Ease of operation                              -   Effectiveness

–        Ease of Maintenance                       -   Durability

–        Appearance                                       -   Feasibility

–        Strength                                             -   Acceptance

•         Alternative Solutions (You must consider a minimum of 3 different solutions to your design problem.)

–       Initial brainstorming session should be very informal

–       Write down every idea mentioned

–       Everyone must feel comfortable stating their ideas

–       There will be many bad ideas that can be eliminated later

•         Analysis (You must include some analysis covered in this class: axial loading, torsion, bending, combined loads, buckling, beam deflections, …)

–       Use your engineering knowledge to evaluate the alternatives based on your design criteria

•         Decision Making

–       Use the results of your analysis to compare all the alternatives using a systematic process

•         Specifications

–       Write a thorough description of your design

–       Include detailed drawings if needed

•         Communication

–       Selling your idea                               -   Oral presentations

–       Written reports                                 -   Visual aids

 

DESIGN PROJECT IDEAS

 

Trampoline

Spent Nuclear Fuel Rack

Slide

4x4 Tow Winch

Steel Bridge

Mr. Flexy Snowboard

Water Couch

Rope Bridge

Neat Note Book

Interstate Median

Pliers

Indestructible Pita

Weight Lifting Bar

Compact Folding Stadium Seat

Monkey Bars

Pandora's Safe

Traffic Signal

Roll Cage for a Dune Buggy

Spring Board

Computer Desk

PVC Sprinkler System

Residential Piping System

Wheelchair

Computer Chair

Portable Basketball Hoop

Space Saving Hammock

Car Port

Automobile Seat

House Patio Cover

Durable Bag for carrying Lathes

Bus Stop Bench

Artificial Limb

Work Bench

Adjustable Folding Table

TV Stand

Engine Hoist

Foot Bridge

Automatic Adjustable Pencil

Freeway Sign

Aquarium Base

TV Tray

Automatic Adjustable ladder

Stop Sign

Children's Playhouse

High Chair

Automatic Adjustable Cane

Trebuchet

Car Jack

Computer Stand

Fishing Pole

Gazebo

Glasses

Book Shelf

RC Car Stand

Swing Set

Bike Rack

3 Leg Table

RC Car Chassis

Diving Board

Small Porch

Chair (Stool)

Guitar

Retaining Wall

Closet Shelving System

Staircase Design

Airport Wind Guard

Bicycle Frame

Pull Trailer (for a car )

                                                                   

 

(MEG 302 Top)