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    THE OF TEXAS AT AUSTIN

    Department of Aerospace Engineering and Engineering Mechanics

    SPRING 2014: EM 306 STATICS

    PRELIMINARY SYLLABUS

    UNIQUE NUMBER:14230, 14235, 14250

    PROFESSOR: Dr.Gregory J. RodinOffice: WRW 112a

    E-mail:[email protected]

    Hours: TBA

    TIME AND LOCATION: MWF WEL 3.502WEB PAGE:UT Canvas

    PREREQUISITES: Credit with a grade of at least C or registration for Mathematics 408D or

    408L.

    TEXT:http://www.pearsoncustom.com/tx/utexas_engineering/

    I-CLICKERS: We will be using i-clickers class for pop-quizzes. I-clicker are available at the Co-op and other retailers. To register the i-clicker:

    Log in to Canvas:http://canvas.utexas.edu/ Click on "Courses" and then click on your EM 306 course. Click on "i>Clicker" at the bottom left. Enter your Remote ID and click "Register"

    VIDEOS: Every week several videos will be posted on Youtube: search for em 306.The videos

    usually focus on more difficult problems, that you are expected to master by May.

    mailto:[email protected]://www.pearsoncustom.com/tx/utexas_engineering/http://www.pearsoncustom.com/tx/utexas_engineering/http://canvas.utexas.edu/http://canvas.utexas.edu/http://canvas.utexas.edu/http://www.pearsoncustom.com/tx/utexas_engineering/mailto:[email protected]
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    IMPORTANT DATES:

    January 17th

    Last day an undergraduate student may add a class except for rare and extenuatingcircumstances.

    Last day to drop a class for a possible refund.March 31

    st

    Last day an undergraduate student may, with the deans approval, drop a class except forurgent and substantiated, nonacademic reasons.

    Last day a student may change registration in a class to or from the pass/fail or credit/nocredit basis.

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    EVENING CLASSES:

    Weekly evening classes must be treated as regularly scheduled classes. Evening classes will be taught by TAs. You must attend only the class for which you are registeredno exceptions. To change the class you must go through a regular registration process. Each evening class will involve a Q&A session followed by a quiz. Two lowest quiz grades, including zeros for absentia, will be dropped.HOMEWORK:

    Each weekly assignments consists of 5-10 problems from the book and additionalpractice problems.

    Additional problems will be posted on Canvas. Posted problems and problems shown in boldface are particularly important. Homework will not be graded.

    Week Solve

    1 Ch 2. 38,40, 48, 74,78, 104, Posted problems

    2 Ch. 3. 2,6,8,10,14,22,28,32, 34, 35

    3 Ch. 3. 52, 56,68,76, 83,102,109, 116,120,124

    4 Posted problems

    5 Ch. 4. 10,16,20,24,26, 42,50,51,Posted problems

    6 Ch. 4. 60, 74, 84,88,94,100, ,Posted problems

    7 Ch. 4. 126, 134,136,,Posted problems

    8 Ch. 5. 14,16,20,22,26,34,Posted problems

    9 Posted problems10 Ch. 6. 20,32,46,60,70,78,91,96,110,112

    11 Ch. 7. 22,28,36,38,58,60,124,134,148,154

    12 Ch. 8. 6,12,14,24,26.32,38,40

    13 Ch.6, 62, Posted problems

    14 Ch. 9. 6, 38,40,63,64, Ch. 10. 28,31,32,82,86

    CLASS PARTICIPATION:

    You are expected to attend every class. A pop-quiz will be given in every class.MID-TERM EXAMS:

    Each exam will consist of two problems. Graded exams will be returned to you one week later at the evening class. Solutions will be posted one week later. Calculators are allowed. Each exam should be treated as a report.

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    It is your responsibility to present your solutions in an intelligent and clear manner. Poor presentations will be penalized.FINAL EXAM:

    The final exam is comprehensive. No make-up exams will be given. You are welcome to look at your final exam by scheduling an appointment. The final exam will not be re-graded.GRADING SCALE:

    A: a score above 90 B: a score between 80 and 90 C: a score between 60 and 80 D: a score between 50 and 60 F: a score below 50GRADING COMPONENTS:

    Class participation5% Evening quizzes 10% Mid-term exams 50% Final exam35%GRADING POLICIES:

    No curve will be applied. The letter grade is not negotiable.REGRADING:

    You are welcome to request regarding after comparing your solution with the posted one.Each request must proceed as follows:

    1. Hand me the exam in question on the second Friday following the exam.2. Attach a brief, limited to three sentences, description of the rationale for regarding.3. Collect your regarded exam from me on the following Monday after class.

    Requests that do not follow these steps will not be considered. Frivolous requests may result in significant grade losses.CONDUCT:

    No talking. Violators may be asked to leave the class. The use of laptops and texting devices is restricted to the last two rows. I-pads are welcome, as long as they are used appropriately.

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    If late, enter the class through the back doors. Scholastic dishonesty will not be tolerated and will be prosecuted to the fullest extent.E-MAIL MESSAGES:

    Messages must be written in English. This does include the use of capital letters. Messagesmust be addressed and signed. Each message should be less than 100 words. Please allow me for up to 24 hours to respond. Do not use e-mail for asking questions about details of homework problems. Messages not conforming with the aforementioned rules will be ignored.STUDENTS WITH DISABILITIES:

    Discuss appropriate arrangements as soon as possible. Making early arrangements for the entire semester is highly recommended.

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    ADDITIONAL INFORMATION REQUIRED BY THE

    ACCREDITATION COMMISSION AND STATE LAW

    Catalog Description:Vector algebra, force systems, free-body diagrams; engineering applications of equilibrium, including frames, friction, distributed loads; centroids,

    moments of inertia. Three lecture hours and two discussion hours a week for one semester.Course Objectives: Teach basic mechanics.

    Knowledge, Skills, and Abilities Students Should Have Before Entering This Course:Elementary algebra, geometry, and trigonometry

    Knowledge, Skills, and Abilities Students Gain from this Course (Learning Outcomes): Learn basic mechanics.Impact on Subsequent Courses in Curriculum: It will impact any class covering mechanical phenomena.

    Relationship of Course to Program Outcomes:This course contributes to the following ABET Criterion 3 outcomes and those specific to the EAC accredited program.

    Aerospace engineering program outcomes

    X a. An ability to apply knowledge of mathematics, science, and engineering.

    X b. An ability to design and conduct experiments, as well as to analyze and interpret data.

    X c. An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic,

    environmental, social, political, ethical, health and safety, manufacturability, and sustainability.

    d. An ability to function on multidisciplinary teams.

    X e. An ability to identify, formulate, and solve engineering problems.

    f. An understanding of professional and ethical responsibility.

    g. An ability to communicate effectively.

    h. The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental,

    and societal context.

    i. Recognition of the need for and an ability to engage in life-long learning.

    j. Knowledge of contemporary issues.

    X k. An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.

    ABET Program Criteria Achieved:

    Program criteria are unique to each degree program and are to be compiled from the program criteria given for each degree program and listed in

    table format below. The faculty should check which of the program criteria are achieved in the course.

    Aerospace engineering program criteria

    Programs must demonstrate that graduates have

    A. knowledge of:

    1. Aeronautical engineering:

    X a. Aerodynamics

    X b. Aerospace materials

    X c. Structures

    X d. Propulsion

    X e. Flight mechanics

    f. Stability and control.

    2. Astronautical engineering;

    X a. Orbital mechanics

    b. Space environment

    c. Attitude determination and control

    d. Telecommunications

    X e. Space structuresX f. Rocket propulsion

    3. Of some topics from the area not emphasized

    X B. Design Competence which includes integration of aeronautical or astronautical topics

    Topics:Introduction (3 hours abet a,b,c,e,k)

    Forces in two dimensions (3 hours abet a ,b,c,e,k)

    Equibrium in two dimensions (6 hours abet a,b,c,e,k)Two-dimensional structures (9 hours abet a,b,c,e,k)

    Internal forces and moments (7 hours abet a ,b,c,e,k)

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    Friction (4 hours abet a,b,c,e,k)

    Forces and moments in three dimensions (7 hours abet a,b,c,e,k)Equilibrium in three dimensions (6 hours abet a,b,c,e,k)

    Centroid and center of mass (3 hours abet a,b,c,e,k)

    Moment of inertia (2 hours abet a,b,c,e,k)

    CONTENT

    CHAPTER 1: INTRODUCTION1.1 Engineering and mechanics page 2

    CHAPTER 2: FORCES IN TWO DIMENSIONS

    2.1 Scalars and vectors in two dimensions page 14

    2.2 Components in two dimensions page 22

    4.1 Two-dimensional description of the moment page 35Supplement 1: Self-equilibrated force systems page 48

    Supplement 2: Two-dimensional description of the couple page 49

    CHAPTER 3: EQUIBRIUM IN TWO DIMENSIONS3.1 Forces, equilibrium and free body diagrams page 52

    3.2 Two-dimensional force systems page 61

    5.1 Two-dimensional applications page 785.2 Statically indeterminate objects page 99

    CHAPTER 4: TWO-DIMENSIONAL STRUCTURES

    6.1 Trusses page 1066.2 Method of joints page 108

    6.3 Method of sections page 118

    6.5 Frames and Machines page 1257.3 Distributed loads page 154

    CHAPTER 5: INTERNAL FORCES AND MOMENTS10.1 Beams page 164

    10.2 Shear force and bending moment diagrams page 171

    10.3 Equilibrium relationships page 176

    CHAPTER 6: FRICTION

    9.1 Theory of dry friction page 192

    9.2 Wedges page 2109.6 Belts page 214

    CHAPTER 7: FORCES AND MOMENTS IN THREE DIMENSIONS

    2.3 Components page 2302.4 Scalar product page 247

    2.5 Vector product page 255

    4.2 Moment vector page 2674.3 Moment about a line page 280

    Supplement 3: Self-equilibrated force systems page 295

    4.4 Couple page 296

    CHAPTER 9: EQUILIBRIUM IN THREE DIMENSIONS

    5.3 Three-dimensional applications page 306

    6.4 Space trusses page 325

    CHAPTER 10: CENTROID AND CENTER OF MASS

    7.1 Centroid of area page 334

    7.2 Centroid of composite area page 3427.5 Centroid of volumes and lines page 349

    7.7 Center of mass page 356

    CHAPTER 11: MOMENT OF INERTIA8.1 Definition page 366

    8.2 Parallel axis theorem page 373

    Professionalism Topics:None

    Design Assignments:None

    Laboratory Assignments: NoneComputer:None

    Prepared by:Gregory J. Rodin Date: January 12, 2014