MENG 231 ENGINEERING MECHANICS (STATICS AND DYNAMICS)
COURSE OUTLINE
SPRING 2008-2009
COURSE
: MENG 233 (3,1) 3 RIGID BODY DYNAMICS
INSTRUCTOR
: Assoc. Prof. Dr.ERBIL AKBIL
Room: ME 200-B
: Will be decided in Class (other times by appointment)
Phone: 630 1045
E-Mail: erbil.akbil@emu.edu.tr
OFFICE HOURS
ASSISTANTS
: (i) Ehsan Kiani
E-Mail:
(ii) Roozbeh Vaziri
E-Mail: roozbeh1383@yahoo.com
Office Phone
Office
Office Phone
Office
: (630) 1533
: ME 023
: ME
: (630)
CLASS SCHEDULE:
GROUP 01:
Period
Day
Room
Lecture/Tutorial
1, 2
MONDAY
MESEM-2
LECTURE
5, 6
WEDNESDAY
ME 112
LECTURE
3
FRIDAY
MESEM-2
LAB/TUTUORIAL
____________________________________________________________
CATALOG DESCRIPTION
MENG 233 RIGID BODY DYNAMICS (4, 1) 4
Kinematics of rigid bodies. 2-D rigid body dynamics, D`Alembert`s principle. Energy
Methods. Principle of impulse and momentum Angular momentum in 2-D. Motion about a
fixed axis. Undamped vibration of rigid bodies.
(PREREQUISITES: MATH 151, PHYS 101)
TEXTBOOK:
We will follow, Hibbeler’s “Engineering Mechanics- Dynamics, 11th. Ed., Prentice-Hall, 2007” as
the textbook. Taking notes in class will be helpful for the ‘Open-Notes-Only Exams’ that you
may have. Having a book, however, provides several additional advantages.
REFERENCES:
1) Engineering Mechanics-Dynamics by B. FOWLER, SI Ed., Addison- Wesley, 1999.
2) Engineering Mechanics, Statics and Dynamics, 5TH. ED., E.W. NELSON, Schaum’s
Outlines.
GRADING AND EVALUATION:
Class-Notes & Participation:
Homeworks and Assignments:
Quizzes:
Midterm(s):
Final Exam:
4 %,
10 %,
24 %,
26 %,
36 %.
ATTENDANCE:
Attendance to lectures and tutorials are essential and expected. Attendance shall be taken. You
must be there to participate. If you miss more than one midterm/monthly exams and/or quizes or
if your attendance record is less than 75 %, your condition may be treated as “Non-Gradable”
and shall receive an “NG” grade.
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MENG 231 ENGINEERING MECHANICS (STATICS AND DYNAMICS)
COURSE OUTLINE
PLAGIARISM
This is intentionally failing to give credit to sources used in writing regardless of whether they
are published or unpublished. Plagiarism (which also includes any kind of cheating in
exams) is a disciplinary offence and will be dealt with accordingly.)
COURSE OBJECTIVES:
Objective 1:
Objective 2:
Objective 3:
Objective 4:
Objective 5:
Objective 6:
To provide the student with a thorough understanding of the concept, drawing, and
the use of free-body diagrams in the analysis of dynamic systems
To provide the student with the fundamental concepts and principles of particle
dynamics.
To provide the student with the fundamental concepts and methods of kinematics
and dynamic analysis of rigid bodies..
To expand students’ knowledge of planar kinematic analyses of rigid body systems
To intoduce the student with apllications of energy and momentum methods in the
solution of problems invoving 2-D dynamic systems.
To provide students with the fundamental concepts of linear vibration analyses of
one and two degree-of-freedom rigid body systems.
COURSE OUTCOMES:
The student taking this course will be able to
1.
distinguish between kinematics and kinetics in the dynamic analysis of solids.
2.
develop analytical models for given dynamic situations, using particle and
rigid body dynamic theories, and identify the principles and equations that
can be applied to solve dynamics problems
3.
understand Newton’s Laws of motion and Gravitational Attraction, and apply
these to dynamics problems.
4.
classify various types of rigid body motion, such as motion about a fixed-axis,
absolute motion and relative motion, general plane motion, and formulate
equations of motion for rigid bodies by drawing free-body diagrams;
5.
understand the principles of work and energy, conservative forces,
conservation of energy, power and efficiency, and apply these to solve
problems involving force, velocity and displacement.
6.
develop formulations for the linear and angular momentum of a body, and
apply principles of linear and angular impulse and momentum to solve rigidbody planar kinetic problems involving force, velocity, and time.
7.
Use the mathematical tools, the standard procedures and perform numerical
calculations to analyse general planar motion and simple vibration problems.
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MENG 231 ENGINEERING MECHANICS (STATICS AND DYNAMICS)
COURSE OUTLINE
COURSE CONTENTS
WEEK #
TOPICS
1.
Introduction: Scope and general principles; Newton’s Laws of Motion; units and
dimensions. Vectors; manipulating vectors in terms of components; dot and cross
products; mixed triple products.
2.
Kinematics of a particle: Studying the motion of a particle; continuous motion;
curvilinear motion; rectangular, normal, tangential, cylindrical components of
motion. Absolute dependent motion and relative-motion of two particles.
3.
Kinetics of a particle: Newton’s Laws of motion; force and acceleration: equations
of motion;
4.
Work and energy: Principle of work and energy; work of a force; power and
efficiency; conservative forces and potential energy; conservation of energy.
5.
Kinetics of a particle- Impulse and momentum: Linear impulse and momentum;
conservation of linear momentum ; impact; angular momentum; angular impulse and
momentum principles.
6.
Centroids and Centers of Mass; Moments of Inertia; Parallel-Axes Theorem.
7.
*** 1ST. MIDTERM EXAMINATION (EXAM WEEK)***
8.
Planar Kinematics of a Rigid Body: Translation; rotation about a fixed axis; general
plane motion;
9.
Relative motion analysis: Relative position, velocity and acceleration; instantaneous
center: relative motion analysis; kinematic analysis of fourbar and slider-crank
mechanisms.
10.
Planar Kinetics - Force and Acceleration: Moment of inertia; planar kinetic
equations of motion; translation, rotation, and general plane motion.
11.
Planar Kinetics of Rigid Bodies - Work and Energy: Kinetic energy; the work of a
force; work of a couple: principle of work and energy; conservation of energy.
12.
*** 2ND MIDTERM EXAM ( A 90-MINUTES OPEN-NOTES EXAM) ***
13.
Planar Kinetics of a Rigid Body- Impulse and Momentum: Linear and angular
momentum: principle of impulse and momentum: conservation of momentum:
eccentric impact..
14.
Vibrations: Undamped free vibrations; energy methods; undamped force vibrations;
viscous damping; damped free and forced vibration analysis; electrical circuit
analogs..
15.
General Reviev.
16.
***FINAL EXAMINATIONS: (A TWO-HOURS EXAM)***
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MENG 231 ENGINEERING MECHANICS (STATICS AND DYNAMICS)
COURSE OUTLINE
HOMEWORKS & ASSIGNMENTS: (YOU WILL BE ASSIGNED ABOUT 8 SETS OF HOMEWORKS)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
ALL HOME WORK MUST BE PRESENTED ON A-4 SIZE WHITE-PLAIN PAPERS.
THE FIRST PAGE WILL BE THE ‘TITLE PAGE’, WHICH WILL INCLUDE: CODE AND
NAME OF THE COURSE, ASSIGNMENT NUMBER (SUCH AS HOMEWORK NO.2 ETC.),
STUDENT NUMBER & NAME (e.g. SUBMITTED BY # 981234 ALI BERK TANSAY) , AND
DATE DUE (e.g. APRIL 7TH. 2008, MONDAY).
LEFT MARGIN 3.0 CM; RIGHT AND OTHER MARGINS AT THE TOP AND BOTTOM MUST
BE 2.5 CM IN WIDTH, AND NOTHING WILL BE WRITTEN WITHIN THESE SPACES.
START EACH PROBLEM ON A NEW PAGE UNLESS IT IS A SHORT ONE. YOU DO NOT
HOWEVER NEED TO START FROM A NEW PAGE FOR DIFFERENT SECTIONS OF A
PROBLEM.
WRITE DOWN THE PROBLEM STATEMENT, COMPLETE WITH THE NECESSARY
SKETCHES, AND IDENTFY WHAT IS GIVEN AND WHAT IS TO BE FOUND.
EXPLAIN CALCULATION SEQUENCE IN WORDS (i.e., DO NOT SIMPLY WRITE DOWN A
SERIES OF EQUATIONS.
WHEN EQUATIONS ARE USED, EACH SYMBOL IN THE EQUATION NEED TO BE
DEFINED.
SHOW ACTUAL CALCULATED RESULTS TO SUFFICIENT DECIMALS BEFORE
ROUNDING OFF.
SHOW DETAILS FOR YOUR CALCULATIONS AND IDENTIFY (LABEL) YOUR ANSWERS
WITH A BOX. --NEVER SHOW A RESULT WITHOUT SHOWING THE ALGEBRAIC
SUBSTITUTIONS FIRST.
FOR ALL GRAPH AND VECTOR DIAGRAMS, LABEL THE AXES AND WRITE DOWN THE
SCALES USED AND UNITS FOR EACH PARAMETER.
USE UNITS CONSISTENTLY IN ALL YOUR ANALYSIS, FORMULATIONS AND
CALCULATIONS.
NUMBER EACH PAGE CONSECUTIVELY AND STAPLE ALL PAGES TOGETHER IN THE
PROPER ORDER.
YOU MUST AIM TO ACHIEVE NEAT, CLEAR, AND PROFESSIONAL LIKE WORK.
EACH HOMEWORK WILL BE GRADED ON A 100 POINT SCALE AS:
a. NEATNESS = 15 POINTS;
b. FORMAT AND COMPLETENESS = 20 POINTS;
c. CONCEPT AND APPROACH = 50 POINTS; AND
d. MATHEMATICS = 15 POINTS.
OTHER NOTES:

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


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SOME EXAMS MAY BE OPEN-NOTES ONLY.
TAKING NOTES IN CLASS, THEREFORE, IS STRONGLY RECOMMENDED!
YOU MUST HAVE YOUR BOOKS AND NOTES WITH YOU READY FOR ANY
POP-QUIZES. YOU MAY ALSO NEED A SCIENTIFIC CALCULATOR,
PENS/PENCILS AND ERASERS AS WELL.
UNLESS OTHERWISE STATED, EXCEPT THE GROUP-WORKS, INDIVIDUAL
WORK IS ESSENTIAL! YOU CAN ALWAYS STUDY TOGETHER, BUT YOU
MUST SUBMIT YOUR OWN HOMEWORK.
NO COPYING FROM OTHERS!
NO LATE SUBMISSION OF HOMEWORKS AND/OR ASSIGNMENTS!
HOMEWORKS WILL BE COLLECTED 5 (FIVE) MINUTES AFTER THE CLASS
HAS BEGUN. ANY ASSIGNMENT NOT IN THIS COLLECTION WILL BE
CONSIDERED LATE. ALL LATE WORK WILL RESULT IN THE FOLLOWING
DEDUCTIONS:
- LESS THAN 24 HOURS LATE = 50 % DEDUCTION;
- OVER 24 HOURS LATE
= 100 % DEDUCTION.
IF YOU ARE TO BE ABSENT DUE TO ANY ACCEPTABLE REASON THE
WORK
MUST BE SUBMITTED EARLY AND DIRECTLY TO THE INSRUCTOR.
KEEP THIS OUTLINE AS A REFERENCE DOCUMENT WITHIN YOUR COURSE/CLASS-FILES.
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