Stress Analysis06-92-311-01 Course Syllabus Faculty of Engineering, Department of Mechanical, Automotive & Materials Engineering University of Windsor, Canada Semester: Fall 2013 Please note: this syllabus will be reviewed during our first class meeting, and an electronic copy will be posted on the course website within CLEW Instructor information Name: Dr. Daniel Green Office Hours: TBD (and by appointment) Email: [email protected] (24hr response time Mon.-Fri.) Graduate Assistant (GA) information Name Office Office Hours (and by appointment) Office Phone Number (extension #) Email (24hr response time Mon.-Fri.) Mailbox TBD TBD TBD Course Description The objective of this course is to become proficient in the analysis of stresses and strains in simple mechanical structures subjected to combinations of axial, torsion and flexural loads. In particular, the course will address two-dimensional transformations of stress and strain components, yield and fracture criteria, the deflection of statically determinate and indeterminate beams, buckling of columns having various end conditions. Finally, energy methods will be used to solve both statically determinate and indeterminate problems. Prerequisites Year-1 math courses 06-85-111; Engineering Mechanics I (Statics) 06-85-218 or 06-87-227; Mechanics of Deformable Bodies 1 2013. o Solutions to the tutorial problems will be posted on CLEW after all the assignments have been collected. McGraw-Hill.F. 80 min each) o Section 52: M 13:30 – 16:20 in CEI-1131 (2 groups back-to-back.e.Class and lab information Lectures: 3 hours/week o Section 01: M. the tutorial assignment will be posted on CLEW and will be due at the beginning of the next lecture. laboratory groups & schedule will be posted on the CLEW site Primary textbook: Mechanics of Materials. o On weeks when a laboratory is scheduled there will be no tutorial session. as graduate assistants (GA) will be present to assist. J. Mazurek 6th edition. Beer. A sign-in sheet will be provided during the laboratory sessions to verify student attendance. <50%) in the laboratory portion of the course must repeat the entire course irrespective of the overall performance. o It is the students’ responsibility to ensure they attend the correct laboratory and tutorial sections. the design project. DeWolf. instead.T. F. assignment problems & solutions. o Assignments will be given at the beginning of each tutorial session and students will complete the assignment (typically 3-4 problems) and submit it to the GA at the end of the session.R. Students repeating the course must repeat every component of the course including laboratories. o One of the assigned problems will be randomly selected for marking. Laboratories: 3 laboratories are scheduled during the semester o Section 51: W 13:30 – 16:20 in CEI-1131 (2 groups back-to-back. mid-term and final examinations. Johnston. 80 min each) o Attendance at each laboratory is mandatory. D. o A student will not be permitted to attend a laboratory if he/she is more than 5 minutes late o Laboratory reports are due one week after they are carried out in the lab o Students failing (i. W 10:00 – 11:20 in CEI-1102 o Section 02: M. E. 16. ISBN 978-0-07-338028-5 2 . Credit weight: regular Resources The course syllabus.P. tutorial assignments. W 11:30 – 12:50 in CEI-2101 Tutorial sessions: 2 hours/week o Section 51: W 13:30 – 15:20 in Neal Education Building-1123 o Section 52: M 13:30 – 15:20 in Neal Education Building-1121 o Tutorial sessions are scheduled every week starting Sept. Attendance at the tutorial sessions is strongly recommended. and prepare for the tests.. http://www. please respect your fellow students and leave the classroom to attend to the matter. provide quality instruction. 3 . 9 Final examination for the course. using the Faculty of Engineering add/drop form. not every student deserves an A. Acceptable Use of Technology During Class The use of technology during lectures and tutorials is limited to resources associated with this course. attend class and engage in your instruction. 18 Last date for late registration and change of course Oct. as a student in this class. complete the assigned work. You may return to class when the matter is resolved. 9 First day of classes Sept. i. such as lecture notes and property data information. If a situation arises where you need to communicate by e-mail or cell phone.ca/engineering/forms Note: by the ninth week of classes for 13 week courses. you distract the students around you. Social media and general web surfing are never acceptable uses of technology during class. 2 Last day of classes: evaluation of Design projects 9:00 to 14:00 Dec. You.e. Important Dates Sept. 14 Thanksgiving (no classes) TBD Midterm examination (2 hrs) Nov. 4 Last date to provide at least 20% of the final grade Nov. Dec.uwindsor. the student evaluation of teaching (SET) will be administered in class during the last two weeks of the semester. The Student Evaluation of Teaching According to Senate by-law 51. additionally.The Implied Contract The instructor will strive to establish an educational environment conducive to learning. and provide differentiating assessment. 6 Last date to voluntarily drop (VW) from the course. will strive to prepare for class. 5 9.5 11.5 8.4 TRANSFORMATION OF STRESS & STRAIN Principal stresses.10 .3 Design of transmission shafts (follows after 3. deflection under single load Demonstration of Design Project FINAL EXAM 4 .5 7.5 9.5 10.5 16 4-Nov 1.8 23 27-Nov 1.5 7.7.5 General state of stress 6 25-Sep 1. maximum shearing stress Mohr's circle for plane stress (2D) 5 23-Sep 1.5 11.10 24 2-Dec 9-Dec 1. Review axial.5 9.3 15 30-Oct 1.1 .5 11.1 .6.7-7. Design for impact loading Work-energy under single load.3 4 18-Sep 1. Mises Fracture criteria for brittle materials: Max Normal stress.1-11.1 Laboratories Review transverse loading of beams 14-Oct Mohr's circle for general state of stress (3D) Pressure vessels.4 20 18-Nov 1.8 Method of superposition for statically indeterminate beams 18 11-Nov 1.9.13 9 7-Oct 1.9.5 Overview of course.10. 7.9-11.9 7 30-Sep 1.7.6 .5 22 25-Nov 1.4 21 20-Nov 1. Work.5 7. bending) Elastic strain energy for shearing stresses (torsional loads) Strain energy for a general state of stress Impact loading. Strain energy Elastic strain energy for normal stresses (axial loads.5 8.4 Stresses under combined loading 14 28-Oct 1.12 8 2-Oct 1.3 19 13-Nov 1.7) 13 23-Oct 1.5 7.5 7.5 10. Mohr's circle for plane strain (2D). torsional loading 9-Sep 2 11-Sep 1.5 8.5 11.4 .5 7.1 .7 DEFLECTION OF BEAMS: deflection under transverse loading Equation of the elastic curve Determination of the elastic curve from load distribution Statically indeterminate beams Method of superposition 17 6-Nov 1.5 36 COLUMNS: stability of structures Euler's formula for pin-ended columns Euler's formula for columns with other end conditions Lab #1: Experimental determination of Principal Stresses Lab #2: Deflection of beams Lab #3: Buckling of pin-ended columns ENERGY METHODS in Stress Analysis.5 9.4 .8 10 9-Oct 1.11.5 8. 3D analysis of strain Strain rosettes Yield criteria for ductile materials: Tresca.5 7.Course Schedule The following course schedule is approximate and tentative: Lecture # 1 Date Duration Beer-Johnston Lecture (hours) Sections Topics 1.5 3 16-Sep 1.2 Principal stresses in a beam 12 21-Oct 1. Mohr COMBINED LOADING: Equivalent force-couple system THANKSGIVING 11 16-Oct 1.11. Plane strain transformation. action-reaction. 1b. the concept of elastic strain energy (density). analyze and solve simple engineering problems. formulate a solution plan. All reports are expected to be well-structured. learn to communicate engineering design. learn to use measurement tools & instruments (micrometer. students will… Number Learning Outcome 1 2 3 4 5 6 learn and apply their knowledge in mathematics (linear algebra. the parallel axis theorem. 2b. learn to use their mathematical and engineering knowledge to identify and characterize. the principle of work and energy). the calculation of centroids and 1st and 2nd moments of areas. learn to design solutions for simple.e. Learning Outcome Code 1a. data analysis by preparing several written laboratory reports and a final report for a team design and construction project. design simple engineering structures and machines and evaluate alternative solutions to open-ended beam-design problems and select final solutions. strain gauges). derivatives and integrals of functions). learn to work individually and in a team to successfully complete the design and building of a simple engineering structure that meets specific design criteria. 1c 2a. well written and have a professional appearance. measurement results. 2d 4d 5b 6c 7a 5 . open-ended engineering problems. of specialized engineering concepts & principles (i.static equilibrium. Euler’s formula to predict the elastic instability of columns. of engineering fundamentals (Newton’s laws . to follow design specifications and to implement their design into a scaleddown physical model that can be tested and evaluated against the specified design criteria. design resources (Tables of mechanical properties of materials and of standard beam shapes) and engineering tools (Tables of typical beam deflections and slopes) to solve simple engineering problems.Learning Outcomes In this course. 5 40 Dec. methods. the last day of classes in each period of instruction of twelve (or greater) weeks in duration must be free from any procedures for which a mark will be assigned. textbooks.9 62.9 A A- B+ B B- C+ C C- D+ D D- F Assessment Considerations Mid-term and Final exams o The mid-term and final examinations are closed-book examinations: i.ca/units/senate/main. 4 15 TBD 4.9 72. take home test.53.85. where the testing procedures are an integral part of the instructional process.9 76. oral interview.9 56.Evaluation Methods The course grade will be evaluated as follows: Method of Evaluation % of Final Grade Due Dates* Related Learning Outcomes 10 weekly 1. etc. Courses that are presented by a specialized teaching method. Late or missed assignments or reports o If a student is experiencing difficulty meeting a deadline. as the case may be) during the two to three-hour final examination slot so scheduled.77.2).uwindsor. The actual duration of testing procedures during the scheduled final examination slot may be less than the scheduled time. essay. laboratory reports.73. Late assignments will be deducted 10% per day up to 3 days (after which they will receive 0 marks). at the discretion of the individual instructor” (Bylaw 51.9 69. 6 Tutorial Assignments (10 individual assignments) Midterm exam (closed-book) Design project (group) Final exam (closed-book) Laboratories (3 individual Lab reports) * According to Bylaw 51. including the submission of assignments such as essays.0100 89. 9.) shall take place (or fall due.3 respectively.9 59.9 52.9 79.1. 2.9 66.60. and take home examinations. Section 1.uwindsor.50.9 84.70.1. per the University of Windsor Policy M5: Marks/Grade Descriptors http://web4.3). http://athena. “The last seven calendar days prior to. shall be exempt from this regulation subject to approval of the Dean of the Faculty in which the course is given” (Bylaw 51. Section 1. 4 25 TBD 1.ca/units/senate/main.67. tutorial assignments.1. formulae or notes of any kind are PROHIBITED during examinations.pdf Letter A+ % Range 90.57. 2.9 49. term papers. written or photocopied solutions.e. 4 10 End of semester 3.nsf/947f0bc672983a17852568b60051f690/bf28934998d7c7c3852578c3006e22d7/$FILE/Bylaw%2051%20-%20Examination%20Procedures%20(Amended%20091209). 2.63. procedures. explanations. 2013 1. All final testing procedures (written test.80. and including. he/she is encouraged to contact the course instructor as soon as possible to discuss the situation in advance of the deadline.nsf/947f0bc672983a17852568b60051f690/2b7064df28cf09d985257b87005d2d87/$FILE/Policy%20M5%20-%20Marks-Grade%20Descriptors.2 and 1. 6 .1. Grading Grades for the course will be consistent with the following table. Section 1.pdf “Two to three hour examination slots will normally be scheduled in the formal final examination periods in each semester for all courses which terminate in that semester. If a student fails to attend the mid-term for any other reason. he/she will be assigned a mark of zero for the mid-term examination. There is no bargaining with the instructor to change the nature. Exams and fire alarms Pulling a fire alarm (e. the percentage weight of the midterm examination will be added to the weight of the final examination. the instructor and the proctors only will return to the exam room and collect all the exam documents. If you are considering pulling a fire alarm as a way to avoid a test. Such an offence could result in a criminal record. The Criminal Code of Canada dictates that initiating a false alarm is a criminal offence. a large fine. The students in each group will also evaluate the contributions of the other members of their group. during an exam) is a serious offence.g. Calculators o The only approved calculators are non-programmable. and only then. Note that this sort of offence will affect your eligibility for the Iron Ring. non-graphic calculators. medical. the students will be permitted to 7 .g. and the final mark for the design project will reflect this student grading. death in the family etc. a criminal record may preclude you from becoming a registered professional engineer. Students should then exit the examination room as quietly and efficiently as possible and wait outside the building. additionally. o This policy does not apply to any other assignment or exam. as well as disciplinary action under the University of Windsor Bylaw 31 where serious consequences would be likely (see Appendices for student misconduct). The designed and constructed object will be evaluated by the instructor at the end of the semester.o If a student fails to attend the mid-term examination for a legitimate reason (e. format or content of the make-up exam. The make-up exam can be either an oral or written examination. Once the signal is received that the building can be safely re-entered. you are advised instead to own up to your poor preparation. In the event that a fire alarm disrupts an exam session. and ask yourself whether you have the dedication to become an engineer. Other Electronic Devices Aside from Calculators ☒ Electronic devices aside from calculators are NOT permitted during tests/exams. all the exam documents are to be closed and turned face down and left on the table. Then.). Design Project o The specifications of a design and construction project will be posted on CLEW before the end of September. Make-up Exams o Students who miss the final exam for reasons that are considered valid and legitimate by the office of the Associate-Dean academic will be subject to a make-up exam at a time that is convenient for all parties involved. take the F on the test. Groups of 3-5 students will work together to complete the design project. reproducing or paraphrasing portions of someone else's published or unpublished material (from any source. Such incidents may include. Hello Dr. drawings. they should include an informative subject line. without proper acknowledgement.g. your name).pdf Plagiarism: the act of copying. s/he should inform the instructor and GA before missing the class or lab. Only emails sent from a ~@uwindsor. but are not limited to: submission of assignments other than your own. the use of material that is not one’s own.) 8 . including the internet).ca email address will be responded to. Emails should be sent with courtesy and written in proper English. constitutes plagiarism and. dance. without proper acknowledgment or attribution. Best regards. sharing a calculator or formula sheet during the test. Green). and a closing greeting (e. General Class Expectations Attendance and punctuality Attendance in classes and labs is critical to student success.%202011.ca/units/senate/main. designs. and the exam will not be rewritten (unless the instructor judges that the disruption occurred too early in the exam). a body.. using a solutions manual to prepare submitted assignments. If a fire alarm sounds during a tutorial assignment. receiving or sharing prior knowledge of test questions. possession of any electronic device (including cell phones) during a test except for an approved calculator. Plagiarism applies to all intellectual endeavours: creation and presentation of music.uwindsor. photography and other artistic and technical works.nsf/947f0bc672983a17852568b60051f690/06e37bd761de3505852578c30069a8f8/$FILE/Bylaw%2031%20%20Student%20Affairs%20Amended%2020080110%20-%20RW%20reviewed%20Sept%2028. hence. academic dishonesty.. a salutation (e. tutorials.return to the exam room and collect their personal belongings. students should seize the opportunity to share and discuss information in labs. and classes. Group work Groups are encouraged to develop ground rules.g. If a student is going to miss a class or lab. and set standards of communication for the group. (Students have the responsibility to learn and use the conventions of documentation as accepted in their area of study. Emails will be responded to within 24 hours Monday to Friday. the assignment will not be marked. identify roles and responsibilities. In the case of oral presentations. sharing or receiving knowledge of a test with students who have not yet written the test. set timelines. University procedures will be followed. Communication Students are encouraged to utilize office hours to ask questions. Academic Integrity All incidents of academic dishonesty will be documented with the Associate Dean of Engineering – Academic. sharing or receiving information during a test by any means (including electronic). The course is designed to move swiftly and efficiently. Per the University of Windsor Bylaw 31: Student Affairs and Integrity http://athena. The exam marks will be prorated according to the time that elapsed before the alarm rang. pdf Rationale: The University believes in the right of all students to be part of a University community where academic integrity is expected. The supplemental examination will only replace the mark the student obtained in the final exam: i. through the availability of Turnitin®. and safeguarded. reports. the student must register for the supplemental and pay the appropriate fee. Failure to follow this practice constitutes plagiarism.com. theses. it recognizes that students often have to use the ideas of others as expressed in written. and ensure greater accountability.com may be used in this course. Use of Turnitin® Plagiarism-Detection Service in This Course ☒ Turnitin. http://web4. Once a student has registered for a supplemental evaluation and the required evaluation method has been prescribed. it expects that both the data and ideas obtained from any and all published or unpublished material will be properly acknowledged and sources disclosed. published. Per the University of Windsor Policy T1: Policy on the Use of Turnitin. desires to encourage responsible student behaviour. enforced.ca/units/senate/main.uwindsor. or unpublished work in the preparation of essays. The University.ca/units/registrar/calendars/undergraduate/cur. and (b) has a grade below 50%. According to the University of Windsor Undergraduate Calendar.com http://athena. provided the student has submitted all tutorial assignments and laboratory reports. and publications. all the other marks earned during the semester will be used to calculate the student’s overall mark and grade. improve student learning.e. 9 . Both the resulting grade and the original grade will be shown on the student's transcript and will be included in the determination of the student's cumulative average. it expects that all students will be evaluated and graded on their own individual work. Failure to write after registering for the supplemental evaluation will result in a grade of F being assigned. the evaluation will occur at the time and place prescribed by the Faculty of Engineering. papers.nsf/982f0e5f06b5c9a285256d6e006cff78/74d6d0d3706f9f1d852572bc0060cbf0!OpenDocument The Academic Standing Committee may grant a supplemental evaluation privilege for a failed course provided that the student: (a) has failed only one course in the evaluation period (two full-time academic semesters). deter plagiarism. If a supplemental evaluation privilege is granted and the student decides to exercise this privilege.uwindsor. and (c) has a cumulative average of 60% or better.Supplemental Privileges ☒ A supplemental examination is allowed in this course. However.nsf/947f0bc672983a17852568b60051f690/3c87fa97b5f64f7c852578ef006c00be/$FILE/Policy%20T1%20%20Policy%20on%20the%20Use%20of%20Turnitin. maintained. However. as the case may be. and educational objectives. and to permit the expression of the institution’s individual qualities. is taken from http://www. to provide sufficient freedom to accommodate innovation in education. This assists in protecting your intellectual property. They are intended to support the continuous improvement of the quality of engineering education.Procedure: Turnitin® ☒ May be used for some or all student papers in this course. at the instructor’s discretion. 10 . For further assessment considerations. please see the Appendices. ideals.ca/e/files/report_ceab_08. How will it be used? ☒ You may be asked to submit your paper to the instructor in electronic form who will then submit the paper to Turnitin® if necessary. you also have the right to request that your paper(s) not be run through the student papers database of Turnitin®. that request must be communicated to the Instructor or Professor in writing at the beginning of the course. Canadian Engineering Accreditation Board (CEAB) Criteria What are the CEAB Graduate Attributes Criteria? This information.engineerscanada. The criteria are intended to provide a broad basis for identifying acceptable undergraduate engineering programs. including the CEAB Graduate Attribute Criteria descriptions. to prevent over-specialization in curricula. Engineers’ Canada. Note that students’ papers that are submitted to Turnitin® become part of the Turnitin® database. If you choose to do so. to allow adaptation to different regional factors.pdf. resources. environmental. 6 7 7. 1. Investigation An ability to conduct investigations of complex problems by methods that include appropriate experiments. and modern engineering tools to a range of engineering activities. applicable standards. Professionalism An understanding of the roles and responsibilities of the professional engineer in society. and to understand their limitations. 8 8. legal. 11 . Life-long learning An ability to identify and to address their own educational needs in a changing world. A knowledge base for engineering Demonstrated competence in University level mathematics. writing. with an understanding of the associated limitations. the uncertainties in the prediction of such interactions. cultural and societal considerations. Use of engineering tools An ability to create. and specialized engineering knowledge appropriate to the program. components or processes that meet specified needs with appropriate attention to health and safety risks. especially the primary role of protection of the public and the public interest.This course will develop the following CEAB Graduate Attributes Criteria via Learning Outcomes: CEAB Graduate Attributes Criteria Course Learning Outcomes 1. formulate. 10. 2. from simple to complex. and extend appropriate techniques. risk and change management into the practice of engineering. Such abilities include reading. sufficiently to maintain their competence and contribute to the advancement of knowledge. social. preferably in a multi-disciplinary setting. health. safety. engineering fundamentals. Problem analysis An ability to use appropriate knowledge and skills to identify. 9. and synthesis of information in order to reach valid conclusions. and the concepts of sustainable design and development and environmental stewardship. analysis and interpretation of data. Economics and project management An ability to appropriately incorporate economics and business practices including project. Design An ability to design solutions for complex. 3 2. 5 5. and cultural aspects of society. 12. Ethics and equity An ability to apply professional ethics. Such abilities include an understanding of the interactions that engineering has with the economic. Impact of engineering on society and the environment An ability to analyse social and environmental aspects of engineering activities. natural sciences. economic. and the ability to comprehend and write effective reports and design documentation. analyze. 4 3. and equity. and solve complex engineering problems in order to reach substantiated conclusions. accountability. Individual and team work An ability to work effectively as a member and leader in teams. apply. and to give and effectively respond to clear instructions. speaking and listening. adapt. open-ended engineering problems and to design systems. 11. 6. select. 4. Communication skills An ability to communicate complex engineering concepts within the profession and with society at large. uwindsor.T.uwindsor.E. including questions and concerns regarding disabilities.5 AU Mathematics Natural Sciences 25% Engineering Science 50% Engineering Design 25% Complementary Studies Will there be a laboratory experience and safety procedures instruction? ☒ Yes ☐No Services Available to Students at the University of Windsor Students are encouraged to discuss any disabilities.ca/disability Skills to enhance personal success (S. The following services are also available to students: Student disability services: http://www.P.uwindsor. with the course instructor. Let’s plan a comfortable and productive learning experience for everyone.S): o http://www.ca/scc Academic advising centre: http://www.CEAB Hours Subject Areas Accreditation Units One hour of lecture (corresponding to 50 minutes of activity) = 1AU One hour of laboratory or scheduled tutorial = 0.ca/advising/ 12 .ca/lifeline/steps-skills-to-enhance-personal-success Student counseling centre: http://www.uwindsor.