School of Engineering and Computer Science EG202: Mechanics of Materials I Course Syllabus Semester: Class Meeting Time: Class Location: Prerequisites: Co-requisites: Spring 2012 Monday, Wednesday, Friday, 12:40 – 1:50 pm DWH 114 EG200 Statics (EG208 Materials Science and EG207 Instrumentation and Measurements strongly suggested) None Instructor Contact Information Instructor: Office Location: Office Hours: Email: Phone: Timothy D. Kostar DWH 109 G Monday, Wednesday, Friday, 10:00 – 12:00 noon kostar_timothy@dwc.edu 603-577-6064 Course Description (3.5 Credits) This course enhances the students understanding of stress and strain, and their linear-elastic relationship through Hooke’s Law. The stress induced in simple beams and columns, as subjected to axial, torsional, bending, and shear loading, is extensively covered. The concept of state of plane-stress, as a result of combined loadings (superposition), and transformation to principal components, is covered. Based on allowable stress, basic beam design is introduced. Methods to determine the deformation of beams and shafts are covered. The concepts are supported by software-based stress analysis and the application of computational software in structural design. Course Textbook Information Mechanics of Materials, 8th Edition, R.C. Hibbeler, ISBN-13: 978-0-13-602230-5, Prentice-Hall, 2011. Course Objective This course is intended to extend the student’s study of engineering mechanics beyond statics to the concepts of stress, strain, and deformation, and to develop problem-solving skills and techniques involved with structural design and analysis of simple beams and columns. Course Outcomes (measurements in parentheses) The student will be able to: 1) draw free body diagrams of both complete and sectioned bodies (Homework, exams, final exam); 2) demonstrate an understanding of the fundamental concepts of stress and strain, and their linear-elastic Daniel Webster College 1 relationship through Hooke’s Law (Homework, exams, final exam); 3) compute the stress state at a point resulting from a combination of axial, torsional, shear, and bending loads on a beam (Homework, project #1, exams, final exam); 4) transform (2D) states of stress into principal components (Homework, project #1, exams, final exam); 5) design a simple beam or shaft structure based on allowable stress (Homework, project #2, exams, final exam); 6) determine the deformed state of a beam resulting from a combination of axial, torsional, and bending loads (Homework, final exam); 7) utilize commercial computational software in simple structural design and analysis (project #2). General Education Competencies The General Education program centers on critical thinking, communication, and global citizenship. The primary General Education competencies that this course supports include: - Communicate clearly and effectively in written, oral, and electronic forms Apply quantitative reasoning skills to solve problems Disabled Applicants and Students Daniel Webster College is committed to compliance with Section 504 of the Rehabilitation Act of 1973 and its regulations. The school does not discriminate on the basis of disability in admission or access to, or treatment or employment in, its programs and activities. The school's student disability coordinator coordinates Section 504 compliance. Applicants or students with a disability may request an accommodation by contacting Kathy Hipp, Associate Dean of Arts and Sciences, at 603-577-6659 or hipp@dwc.edu. Academic Honesty Intellectual curiosity is at the heart of the academic enterprise. Students, faculty and administration at Daniel Webster College consider such violations as cheating and plagiarism to be so unethical as to call into question whether the violator should continue as a member of the College community. Transcripts that misrepresent academic performance not only endanger students’ chances for success in their careers but also damage the integrity and reputation of the institution. Student Honor Pledge Daniel Webster College believes that all students have the right to learn in an academic community that insures fair competition, and respects truth and honesty. Academic dishonesty is not tolerated at Daniel Webster College. The Student Honor Pledge is intended to create a community of fairness, respect, and responsibility in the pursuit of academic enterprise. All students are expected to abide by the Student Honor Pledge. I pledge on my honor, as a student at Daniel Webster College, that I have neither given nor received any unauthorized aid on this assignment/examination. For more information regarding Daniel Webster College’s ethical standards, please refer to the current college catalog. Grading Scale The following scale is based on the grading structure outlined in the Daniel Webster College catalog and is used to assign letter grades: A = 93+ C+= 76-79 A- = 90-92 C = 70-75 B+= 87-89 D = 65-69 B = 83-86 F = Below 65 B- = 80-82 Daniel Webster College 2 Expectations Homework problems from the text will be assigned on a regular basis and are subject to change. A limited number of other assignments not in the text might be given as supplemental exercises. It is expected that the interested student will endeavor to solve these problems. Remember that you cannot adequately learn this material without practicing the methods. Talk to me in advance if you have reasonable reason(s) for not being able to turn in your homework or any assignment on time. To be fair to all students, late homework or other assignments are given a 33% reduction in points per day that the homework / assignment is late. A “day” is defined as 24 hours, beginning at the start of class time. In addition, there will be an analysis project assigned which will utilize commercial software. Also, a design and analysis project will be assigned which will utilize commercial computational software (FEM). In preparation for this project, some class time will be devoted to utilization of the software. Finally, in support of the student evaluation process, there will be two (2) exams, and one (1) comprehensive final exam. No make-ups for exams will be given unless satisfactory advanced notice and reason is supplied to the instructor. The grades will not be curved. The grades will be assigned based on the absolute grade scale shown above. Active class participation is expected. In this course you will be expected to act in a professional manner. Among other things, this includes showing up on time prepared for the task at hand. This shall include not just being on time for class, but also for any and all additional outside meetings you will have with group work. You will be expected to read assigned chapters/tutorials before coming to class and be ready to actively participate. Classroom activities such as chatting, use of computer, ipod, cell phone and other electronics are not allowed. In addition, eating in class is not allowed. Students may ask questions of one another when working on out-of-class assignments. However, each student/team must do their own work. A first occurrence of academic dishonesty will result in a zero for that assignment for all who are involved. A second occurrence will result in an F for the course. Note that all such occurrences must be reported in writing to the Chief Academic Officer who may prescribe additional penalties. Course Evaluation Homework 25% Project #1 5% Project #2 10% Exam #1 15% Exam #2 15% Final Exam 30% ________________________________________ Total 100% Daniel Webster College 3 Planned Schedule of Activities Schedule may be modified, with announcements posted on-line. Week 1 Reading 01/16 - 01/20 01/23 – 01/27 3 01/30 – 02/03 4 02/06 – 02/10 5 02/13 – 02/17 6 02/20 – 02/24 Assignments Course Overview: Syllabus walk-thru, administrative policies, course expectations. Statics Review: FBD’s. Equilibrium of a rigid body. Internal forces. Shear and Moment diagrams. CG and Centroid. Moment of Inertia. Classes begin Wednesday, 01/18 2 Topics Chap. 1 Chap. 2 Chap. 3 Chap. 4 Chap. 5 HW #1 Stress: Concept of stress. Stress distribution. Average stress. Allowable stress, safety factor, and simple design. HW #2 Strain: Deformation of non-rigid bodies. Concept of strain (normal and shear). HW #3 Mechanical Properties of Materials: Normal Stress-Strain behavior. Ductile and Brittle materials. Shear Stress-Strain behavior. Hooke’s Law for 1D. Strain energy. Poisson’s ratio. Axial Loading: (time out) Saint-Venant’s Principle (time in). Elastic deformation. Static indeterminacy and compatibility. Superposition. Force method (applied superposition). Thermal stress due to constrained displacement. Stress concentration. HW #4 HW #5 Torsion: Torsional deformation. The Torsion Formula. Angle of twist. HW #6 Exam #1 (Friday): Covers Chapters 1 – 4. 7 02/27 – 03/02 Chap. 5 Chap. 6 8 03/05 – 03/09 9 03/12 – 03/16 10 11 12 13 14 15 03/19 – 03/23 03/26 – 03/30 04/02 – 04/06 Chap. 6 04/23 – 04/27 HW #7 Bending: Bending deformation. The Flexure Formula. Examples. Bending: Un-symmetric bending. Stress concentration. HW #8 Spring Break Chap. 7 Chap. 8 Chap. 9 04/09 – 04/13 04/16 – 04/20 Torsion: Static indeterminacy and compatibility. Stress concentration. Transverse Shear: Shear deformation. The Shear Formula. Shear flow. HW #9 Combined Loadings: Thin walled pressure vessels. Combined loadings and state of stress at a point. HW #10 Stress Transformation: Plane-stress transformation. Principal stresses and maximum in-plane shear stresses. Mohr’s circle. Absolute maximum shear stress. HW #11 Project #1 Exam #2 (Monday): Covers Chapters 5 – 8. Chap. 11 Chap. 12 Intro to the FEM and basic beam design: (*) Wed. and Friday classes held in DWH 104 Design of Beams and Shafts: Stress-based design. Deflection of Beams and Shafts: The Elastic Curve. Slope and displacement by integration (Euler). Superposition. Static indeterminacy by integration and superposition. Project #2 HW #12 HW #13 Review 16 04/30 – 05/04 Final Exams Week 05/07 – 05/11 Comprehensive Daniel Webster College 4 Relationship of Course to Program Outcomes Mechanical Engineering (slight, moderate, substantial) Outcome Level of contribution Outcome Level of contribution Outcome a b c d e f g h i j k l m a b substantial moderate h i slight c d e f moderate j g moderate k l m moderate moderate slight Description of Outcome an ability to apply knowledge of mathematics, science, and engineering an ability to design and conduct experiments, as well as to analyze and interpret data an ability to design a system, component, or process to meet desired needs within realistic constraints … an ability to function on multi-disciplinary teams an ability to identify, formulate, and solve engineering problems an understanding of professional and ethical responsibility an ability to communicate effectively the broad education necessary to understand the impact of engineering solutions in a global, etc., societal context a recognition of the need for, and the ability to engage in life-long learning a knowledge of contemporary issues an ability to use the techniques, skills, and modern engineering tools needed for engineering practice an ability to apply principles of engineering, basic science, and mathematics (including multivariate calculus and differential equations) to model, analyze, design, and realize physical systems, components or processes. an ability to work professionally in both thermal and mechanical systems areas. Daniel Webster College 5 Relationship of Course to Program Outcomes Aeronautical Engineering (slight, moderate, substantial) Outcome Level of contribution Outcome Level of contribution Outcome a b c d e f g h i j k l m n a b substantial moderate h i slight c d e f moderate j k l g moderate m n moderate Description of Outcome an ability to apply knowledge of mathematics, science, and engineering an ability to design and conduct experiments, as well as to analyze and interpret data an ability to design a system, component, or process to meet desired needs within realistic constraints … an ability to function on multi-disciplinary teams an ability to identify, formulate, and solve engineering problems an understanding of professional and ethical responsibility an ability to communicate effectively the broad education necessary to understand the impact of engineering solutions in a global, etc., societal context a recognition of the need for, and the ability to engage in life-long learning a knowledge of contemporary issues an ability to use the techniques, skills, and modern engineering tools needed for engineering practice a knowledge of aerodynamics, aerospace materials, structures, propulsion, flight mechanics, and stability and control design competence that includes integration of aeronautical topics an ability to develop flight test plans and conduct in-flight experiments, as well as to analyze, etc., the resulting data Daniel Webster College 6 Beam Design and Analysis Project Assessment Rubric The primary learning outcomes of this design/analysis project include: - - Demonstrate a general understanding of the topic including background, motivation for doing the work, the relevance of the work, and specific objectives. Gain knowledge of, and demonstrate the ability to utilize and efficiently apply, commercial computational software in a basic structural design and analysis setting. Develop and demonstrate the ability to conduct design iterations with associated analysis, gather and reduce data, create appropriate tables and graphs, draw conclusions from results, identify/justify an acceptable design. Demonstrate advanced technical writing skills including completeness and clarity of presentation, grammar. Reference: Prior to this assignment, the students experience approximately three (3) hours of introduction and examples using the computational software in related stress analysis problems. This project, and the associated report, is completed by individual students. Assessment: Performance Indicator Criteria Value Beginning (1) Developing (2) Accomplished (3) Exemplary (4) Topic Knowledge Little to no understanding of topic details. Showed some understanding of topic details. Demonstrated an understanding of the topic details. Demonstrated understanding of topic and related topic details. Software Utilization Did not demonstrate ability to utilize software Demonstrated some ability to utilize software Demonstrated ability to utilize software Demonstrated ability to utilize and efficiently apply software Design and Analysis Did not show ability to perform design and analysis iterations Showed some ability to perform design and analysis iterations Demonstrated ability to perform design and analysis iterations, and identify an acceptable design Demonstrated ability to perform design and analysis iterations, create appropriate tables and graphs, and identify/justify an acceptable design Technical Writing Did not demonstrate advanced technical writing skills. Demonstrated some technical writing skills. Demonstrated ability to write a clear and comprehensive technical report. Demonstrated ability to write a clear and comprehensive technical report, including grammatical details. Total Daniel Webster College 7