ME 27000 Basic Mechanics I

Hello, if you have any need, please feel free to consult us, this is my wechat: wx91due

ME 27000 Basic Mechanics I

Summer 2024

Instructor	Lecture time/room CRN/Section	Office Hrs (or by Appt) Mode	Email/Phone
Jim Jones	ME 270 Section 001 CRNs 12267 Section Y01 CRN 24390	M-F 11am-Noon (or by Appt) on Zoom Online	[email protected] (765) 494-5691

Course Blog: https://www.purdue.edu/freeform/statics/

A course blog is made available to you for the semester. This blog contains a threaded discussion component where you can seek assistance from fellow students in all sections of ME 270 as well as assist other students in answering their questions. In addition, the blog contains links to all material related to the course, including: course syllabus, homework problem statements, homework problem video solutions, solution videos for over 300 Lecturebook examples, material for exam preparation, and any additional information that your instructor will make available to you during the semester. It is recommended that you use threaded discussions on this blog for discussions with your colleagues in the course. The blog is preferable to something like GroupMe, since on the blog, instructors and TAs can become involved in the blog discussions for providing helpful direction on problem solving, whereas this is not possible on GroupMe. We ask that you follow two simple rules. One, be courteous to the other people using the blog, and, two, please do not provide complete solutions for homework problems in your blog discussions.

Course Lecturebook

ME 270 utilizes a workbook-style textbook (a “Lecturebook”) “Statics: A Lecturebook, 2019 edition” by Krousgrill, Rhoads and Gibert. The Lecturebook includes all of the necessary reading material for the course, including a large number of example problems and material that is supported by the course blog. The Lecturebook and course blog complement each other in providing you support in the course.

Course Description

Vector operations, forces and couples. Free body diagrams, equilibrium of particles and rigid bodies. Distributed forces. Centers of gravity and centroids. Friction. Trusses, frames, and machines. Internal reactions resulting from axial, shear, torsional, and bending loading. Stress and strain analyses and elementary failure criteria.

Prerequisites/Concurrent Prerequisites

Prerequisites: MA 166 Analytical Geometry & Calculus II; PHYS 172 Modern Mechanics Concurrent Prerequisites – ENGR 132 Transforming Ideas to Innovation II (or equivalents); MA 261 Multivariate Calculus (or equivalents).

Course Outcomes

1. Develop an understanding of static equilibrium and stresses in statically-determinate structures and how to apply them to engineering systems.

2. Learn a systematic approach to problem solving.

Common homework sets will be used across all sections of ME 27000 and will be graded by TAs using a common grading rubric. There will be two HWs assigned for each period. However, only the one in BOLD will be required to be submitted. The other problem is just for added practice or review. The problem in BOLD will be graded in detail for 10 points. Homework (HW) must be submitted by 11:59pm (Eastern Time, pay close attention to the time differences) on the due date (i.e., homework assigned in a particular class is due at 11:59pm on the day of the next class period, unless otherwise posted). Please post your HW on Gradescope on the appropriate HW link using a single PDF file. Each student will be given 10 points to make up for one missed HW submission, but otherwise late HW will not be accepted without personalized documentation from the DRC, the Dean of Students or a physician (i.e., a generic PUSH note is not sufficient). Please review your homework submission after it has been uploaded onto Gradescope to ensure that all work has been properly submitted. If for some reason you have problems posting your HW on Gradescope, please email the grader the PDF of your HW before the 11:59pm deadline with an explanation. If you have a problem converting your HW into a single PDF format, take a legible picture of your HW and email to the grader. Each of these accommodations should be rare occurrences. Opportunities for bonus credit toward your HW average will be made available by your instructor. Homework solutions will be posted on the blog shortly after they are due. Graders will strive to have your assignments graded by the class period following submission. If you

are unable to submit the work on-time due to circumstances outside of your control, you may submit your work to your instructor with written documentation of the circumstances for consideration, but there are no promises.

Exams

There will be two midterm exams and one final exam. Contact your instructor immediately if you are not able to make it to an exam. You will need documentation to support an excused absence from an exam. In the case of an excused absence on an exam, your final exam will count as your score for the exam you missed. Instructors will strive to have exams graded and returned within 1-2 days of the exam date so you can have timely feedback. The exam times will be 10:30am-Noon EDT. If you have a summer internship or co-op, please make plans to request this time off on the exam dates. Most all companies are happy to give you some flex time to take exams. If this exam time does not work for you, you may want to consider taking a different class this summer.

Grades:

Course grades will be assigned on a straight scale: 97-100 A+; 93-97% A; 90-93% A-; 87-90% B+; 83-

87% B; 80-83 B-; 77-80% C+; 73-77% C; 70-73% C-; 67-70% D+; 63-67% D; 60-63% D-; <60% F.

The percentage breakdown for the components of our course grade are the follows:

A Homework Assignment will be assigned each lecture. Completed homework assignments are to be submitted to Gradescope by 11:59pm ET of the due date. Late homework will not be accepted. Homework is to be turned in on engineering paper (or similar grid paper) using the sample format provided below. Your work needs to be presented with a logical thought process and in a neat, easy to-read style. Failure to do so can result in a loss of points in your homework grade.

You will be given two, 90-min mid-term exams and a 120-min final exam during the scheduled University final exam period. At the end of the term, the average of the two mid-term exams will be compared with your final exam score. The higher of these two will be given 55% weighting and the lower of these will be given a 25% weighting in the computation of your course average from which your course grade is determined.

Officially there are 32 homework assignments over the course of the semester. Note that in the accelerated summer session some topics are omitted so there are fewer HWs in the summer that fall or spring (hence, some HW numbers are skipped). There will be several opportunities to earn Bonus Points. Specifically, students can earn two additional HW scores for completing the Mid-Semester Course and Instructor Evaluation (assuming it is offered by the University), two additional HW scores for completing the End-of-Semester Course and Instructor Evaluations, and two additional HW scores for posting at least 8 quality Blog posts. These Bonus Points will be counted in the numerator but not the denominator meaning that your HW average can exceed 100%. (See the Course Blog instructions on page 11).

Tutorial Room (On Zoom)

A Tutorial Room will be available on Zoom six hours daily (M-F 7-9am, 1-3pm, 6-8pm). During Tutorial Room Hours, Blog questions and comments also will be monitored and addressed by the TA on duty as time permits. Our TAs will strive to provide timely answers to your questions as quickly as is reasonably possible. We strongly encourage you to take advantage of these valuable resource.

Office Hours

In addition to the Tutorial Room, Prof. Jones will be available M-F 11am - Noon on Zoom. If you have conflicts during these hours, you may request an individual appointment at a mutually agreeable time.

Academic Honesty

Faculty and students working together can promote a fair and positive academic environment. All students are expected to conduct themselves in an ethical manner. Students are permitted to discuss homework assignments together, but should do their own work when preparing a problem solution (i.e., copying from a solution manual, an on-line resource such as Chegg, or another student’s work is explicitly prohibited). Also, any access to assigned homework solutions and/or exam solutions (e.g., Chegg, or other sources) prior to submission will be considered an integrity violation. Furthermore, remember aiding and abetting others is also a form of cheating. Specifically, posting or allowing other students to see your completed assignments is a common form of aiding and abetting others and is explicitly prohibited. Finally, the use of GroupMe sites are discouraged. Rather, we encourage students to discuss homework on the ME 270 blog following the rules established for the blog. When students use GroupMe sites it raises suspicions about what they are hiding and lead to accusations of cheating. Likewise, all exams are to be complete without unauthorized assistance. Any student caught cheating on an assignment or exam will receive disciplinary action, up to and including receiving a grade of “F” for the course. In addition, documentation of the infraction will be forwarded to the Office of the Dean of Students (ODOS), which may result in additional disciplinary sanctions, up to and including separation from the University (specifically suspension or expulsion). All of us are equally responsible for ensuring a fair and positive environment. If you become aware of any dishonest activities, please report the infractions to me (anonymously if you prefer) and we will investigate the concerns. If there is sufficient evidence of academic dishonesty, we will take disciplinary action. Finally, remember if you are complicit in assisting a peer to cheat, you are equally guilty. Please take to heart Purdue’s Honor Pledge:

Academic Integrity Statement: http://www.purdue.edu/purdue/about/integrity_statement.html

Code of Student Conduct: http://www.purdue.edu/studentregulations/student_conduct/regulations.html

Reports of cheating can be submitted through the ODOS website (purdue.edu/odos), by phone at 765-494-8778 or by email at [email protected].

Copyrighted Materials

Please note that the ME 270 Lecture Book, assigned Homework Problem Statements, Quizzes, and Exams are copyrighted materials and should not be sold, bartered or posted without the expressed written 4 consent of the authors. Similarly, notes taken in class are considered to be “derivative works” of the instructor’s presentations and materials and likewise should not be sold, bartered, or posted without consent. Students are permitted to use their notes for individual and/or group study or other non commercial purposes reasonably rising up from enrollment in the course or the University generally.

Course Evaluations

Both mid-semester and end-of-semester course and instructor evaluations will be administered this semester. You will receive an official email from evaluation administrators with a link to the online evaluation site. You will have about a week to complete these evaluations. Your participation in this evaluation is an integral part of this course. Your feedback is vital to improving education at Purdue University. We strongly urge you to participate in the evaluation system. Your instructor may provide some modest incentive (extra credit) for your participation, but may require documentation.

Grief Absence

Occasionally, students experience a death in their family and are entitled to a time of bereavement according to University regulations. In such cases, students are strongly encouraged to contact the Office of the Dean of Students for assistance in documenting the incident and contacting all of their instructors The official regulations regarding the University Grief Policy can be found at the following link: https://www.purdue.edu/odos/sac/grief-absence-policy-for-students/

Emergency Preparation

In the event of a major campus emergency, course requirements, deadlines and grading percentages are subject to changes that may be necessitated by a revised semester calendar or other circumstances beyond the instructor’s control. Relevant changes to this course will be posted onto the course website or can be obtained by contacting the instructors or TAs via email or phone. You are expected to read your @purdue.edu email on a frequent basis.

Violent Behavior Policy

Purdue University is committed to providing a safe and secure campus environment for members of the university community. Purdue strives to create an educational environment for students and a work environment for employees that promote educational and career goals. Violent Behavior impedes such goals. Therefore, Violent Behavior is prohibited in or on any University Facility or while participating in any university activity. For details of Purdue’s policy go to the following link: http://www.purdue.edu/policies/facilities-safety/iva3.html

Students with Disabilities

If you have a disability that requires special academic accommodation, please make an appointment to speak with your instructor within the first week of the semester in order to discuss any adjustments and bring your accommodation letter from the Disability Resource Center. It is important that we are informed about this at the beginning of the semester. It is the student's responsibility to notify the Disability Resource Center (http://www.purdue.edu/drc) of an impairment/condition that may require accommodations and/or classroom modifications. If a student does not notify their instructor well in advance about the need for accommodations, there may not be time to arrange some accommodations.

Nondiscrimination Statement

Introduction of Stress and Strain in Materials (1 wk)

1. Basic definitions of stress and strain

2. Mechanical properties of materials

3. Shear stress and strain Stress Analysis

(5 wks)

1. Stress due to axial loading

2. Shear stress due to torsion

3. Shear force and moment diagrams

4. Second area moments for beams

5. Flexural stresses in beams

6. Stress analysis of beams

Static Equilibrium

(5 wks)

1. Equilibrium of a particle

2. Support reactions and free body diagrams

3. Static indeterminacy and partial constraints

4. 2-D and 3-D static equilibrium

5. Trusses

- method of joints

- method of sections

6. Frames and machines

7. Dry friction

- Coulomb’s Laws

- Systems with friction

- Sliding or tipping

- Wedges

Equivalent Systems (2 wks)

1. Determination of the resultant of concurrent forces

2. Equivalent force/couple systems

3. Centroid and center of mass

- by composite parts

- by integration

4. Surface loadings

- line loads

- pressure distributions

5. Fluid statics

- rectangular surfaces

Stresses in Statically

Determinate Structures (6 wks)

Statics of Rigid Bodies (9 wks)

Course Outcomes [Related ME Program Outcomes in brackets]

1. Develop an understanding of static equilibrium and stresses in statically determinate structures and how to apply them to engineering systems. [A1, A2]

2. Learn a systematic approach to problem solving. [A2]

3. Foster effective mathematical and graphical communication skills. [B1]

Fundamentals

(2 wks)

1. Newton’s Laws

2. Vector algebra; vector components

3. Position, unit and force vectors

4. Dot product

5. Cross product

6. Moment of a force about a point

ME 27000

BASIC MECHANICS I7

ME 270 – Basic Mechanics I

Summer 2024

Period

Date

Topic

Reading

Homework

Statics

1 M

June 10

Introduction; Vector Defns (Position, Unit, & Force Vectors)

1.A-F, 2.A-B

H2.A, H2.B

2 Tu

June 11

Dot Product

2.C

H3.A, H3.B

3 W

June 12

Particle Equilibrium (2-D)

3.A-E

H4.A, H4.B

4 Th

June 13

Particle Equilibrium (3-D)

3.A-E

H5.A, H5.B

5 F

June 14

Moment about a Point

1.D, 4.A-B

H6.A, H6.B

6 M

June 17

Force Couples: Equivalent Systems

5.A-B

H7.A, H7.B

7 Tu

June 18

Free Body Diagrams: 2-D Static Equilibrium

4.C-D

H8.A, H8.B

8 W

June 19

2-D Static Equilibrium

4.E-F

H9.A, H9.B

9 Th

June 20

3-D Static Equilibrium

4.E-F

H10.A, H10.B

10 F

June 21

Distributed Loads

5.D

H12.A, H12.B

11 M

June 24

Centers of Mass and Centroids: by Composite Parts

5.C

H13.A, H13.B

12 Tu

June 25

Centers of Mass and Centroids: by Integration

5.C

H14.A, H14.B

13 W

June 26

Buoyancy Forces: Fluid Statics

5.E-F

H16.A, H16.B

14 Th

June 27

Friction: General

6.A-B

H17.A, H17.B

E F

June 28

Exam #1 (Covers Lectures 1-13)

----

----

15 M

July 01

Friction: Slipping and Tipping

6.C

H18.A, H18.B

16 Tu

July 02

Friction: Flat Belts

6.D

H19.A, H19.B

17 W

July 03

Friction: Wedges

6.E-F

H20.A, H20.B

B Th

July 04

July 4th Holiday

----

----

18 F

July 05

Trusses: Method of Joints

7.A-C

H21.A, H21.B

19 M

July 8

Trusses: Method of Sections

7.E

H22.A, H22.B

20 Tu

July 9

Trusses: Problem Solving (Zero-Force Members)

7.D

H23.A, H23.B

21 W

July 10

Frames and Machines

8.A-D

H24.A, H24.B

22 Th

July 11

Frames and Machines

8.A-D

H25.A, H25.B

23 F

July 12

Internal Force/Couple Analysis

9.A

H26.A, H26.B

E M

July 15

Exam #2 (Covers Lectures 14-22)

----

----

24 Tu

July 16

Shear Force and Bending Moment Diagrams (Point Loads)

9.B

H27.A, H27.B

25 W

July 17

Shear Force and Bending Moment Diagrams (Dist. Loads)

9.B

H28.A, H28.B

26 Th

July 18

Shear Force and Bending Moment Diagrams (Graphical)

9.B-D

H29.A, H29.B

27 F

July 19

Axial Stress and Strain

10.A-E

H31.A, H31.B8

Period

Date

Topic

Reading

Homework

28 M

July 22

Shear Stress and Strain

11.A-D

H32.A, H32.B

29 Tu

July 23

Shear Stress Due to Torsion (Circular/Tubular Shafts)

11.E

H34.A, H34.B

30 W

July 24

Bending Stresses in Beams

12.A

H35.A, H35.B

31 Th

July 25

Bending Stresses in Beams

12.A

H36.A, H36.B

32 F

July 26

Second Moments of Area: Composite Parts

12.B

H37.A, H37.B

33 M

July 29

Second Moments of Area: Integration

12.B

----

R Tu

July 30

Course Review (Review Posted Old Final Exams)

----

----

E W

July 31

Final Exam (Comprehensive)

Ch. 1-12

E Th

Aug. 01

E F

Aug. 02

Homework is due the class period after it is assigned at 11:59pm.

Examination Schedule:

Examination No. 1: Friday, June 28th, 10:30am – Noon EDT

Examination No. 2: Monday, July 15 th, 10:30am – Noon EDT

Final Examination: Wednesday, July 31st , 10:30am – 12:30pm EDT

Coding: Integer = Lecture number; B = Break; E = Exam; R = Review lecture.

Homework numbers correspond to lecture numbers. Review lectures do not increase counter. Homework is due the class period after it is assigned.

TEXTS

ME 270 textbook (“Statics: A Lecturebook, 2 nd edition” by Krousgrill, Rhoads and Gibert) is available only through the University Bookstore.

ME 270 BLOG

For security reasons, ITaP requires students to first log in to the blog, and then they will be approved for all subsequent logins by the blog administrator (Prof. Krousgrill). Once you have access to the Blog, you can adjust your email settings to receive all, some or none of the posting, as per your preference.910

Your Full Name

Problem H3.B

Date

Given: Blocks A and B each have a weight of W and are supported with the cable system shown.

Find: If the systement in static

Solution:

The blog discussion threads for this course are intended to provide a forum for the exchange of ideas among the

students in the class, and between the students and the TAs/instructors. From this blog, you can get/provide

assistance from/to other people in the class. We have found that you can often learn as much from helping others

as from getting help for yourself.

REWARD: To reward your involvement in the blog, two HW Scores will be added to your HW Average based on

the following:

Asking questions and providing assistance to others. For this, you ask/answer questions of others on a comment

or post. A minimum of eight quality comments will count as full credit toward your bonus points (one HW for

four quality posts and a second HW core for 4 additional quality posts). Only blog activity prior to the last day of

class will count toward your blog participation reward.

LOGGING IN: You can access all of the information on the blog except adding blog posts without logging in. In

order to log in, do the following:

1. Use your Purdue Career Account login. Do NOT use the BoilerKey (two-factor) authentication.

2. On the first login, you will need to receive approval prior to being able to post comments. We will get

this approval done quickly as possible. It is recommended that you log on to the blog during the first

week of class in order to get this approval process done in time for you to use the blog throughout the

semester.

ANONYMITY IN POSTING: When you first log onto the course blog and are approved by your instructor, your

default User Name is set to that of your Purdue Career Account. This User Name will appear with each comment

that you post on the blog. If you would like to post anonymously, you are able to choose a new “Nickname” that

will be displayed instead of your User Name on the comments. To do so:

1. Go to your “Edit my profile” in the upper right of the Admin Bar under “Howdy”.

2. Add a nickname in the “Nickname” (required)” box.

3. In the “Display name publicly as”, choose the desired nickname from the drop-down list.

4. Click “Update Profile” at the bottom of the page.

You may add additional Nicknames, and switch among these for different displays throughout the semester. If

being anonymous to your colleagues is important to you for your postings, choose nicknames that will help you

maintain your anonymity.