MAE 241 –Statics Fall 2006 Jacky C. Prucz

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ENGR 3340: Fundamentals of Statics and Dynamics
Fundamentals of Statics and
Dynamics - ENGR 3340
Professor: Dr. Omar E. Meza Castillo
omeza@bayamon.inter.edu
http://facultad.bayamon.inter.edu/omeza
Department of Mechanical Engineering
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
BIENVENIDOS
2
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
Syllabus
 Catalog
Description:
Analysis of force systems.
Application of equilibrium law for particles and rigid bodies.
Structural analysis including internal forces and friction.
Calculation of centers of gravity, centroid and moment of
inertia. Kinematics and kinetics analysis of particles and
rigid bodies. Discussion of vibratory systems.
 Prerequisites: PHYS 3311 – Physics for Engineers I.
 Course Text: Hibbeler, R.C., Engineering Mechanics-Static
and Dynamics, 12th. Ed. Prentice Hall, 2010.
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of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
Syllabus
 Absences: On those days when you will be absent, find a
friend or an acquaintance to take notes for you or visit the
web page. Do not call or send an e-mail the instructor and
ask what went on in class, and what the homework
assignment is.
 Homework assignments: Homework problems will be
assigned on a regular basis. Problems will be solved using
the Problem-Solving Technique on any white paper with no
more than one problem written on one sheet of paper.
Homework will be collected when due, with your name
written legibly on the front of the title page. It is graded on
a 0 to 100 points scale. Late homework (any reason) will not
be accepted.
4
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
Syllabus
 Problem-Solving Technique:
A.
B.
C.
D.
E.
F.
Known
Find
Assumptions
Schematic
Analysis, and
Results
 Quiz : There are several partial quizzes during the semester.
 Partial Exams and Final Exam: There are three partial
exams during the semester, and a final exam at the end of
the semester.
5
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
Syllabus
 Final Project: There is a final project, it will consist in the
design of a mechanism with application of course
knowledge.
6
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
Course Grading
 The total course grade is comprised of homework
assignments, quizzes, partial exams, final exam, and a
project as follows:
 Homework
15%
 Quiz
20%
 Partial Exams
25%
 Final Exam
20%
 Final Project
20%

100%
 Cheating: You are allowed to cooperate on homework by
sharing ideas and methods. Copying will not be tolerated.
Submitted work copied from others will be considered
academic misconduct and will get no points.
7
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
Course Materials
 Most Course Material (Course Notes, Handouts, Homework,
Final Project, and Communications) on Web Page:
http://facultad.bayamon.inter.edu/omeza/MECN4110a.htm
 Power Point Lectures will posted every week or two.
 Office Hours: Tuesday and Thursday @ 9:00 to 11:0 AM
 Email: mezacoe@gmail.com
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of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
Tentative Lectures Schedule
Topic
Lecture
General Principles
1
9
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
Reference
 Beer, F.P. and Johnston, E.R., Vector Mechanics for
Engineers - Statics and Dynamics, 9th Ed., McGraw-Hill, 2009.
 Bedford, Anthony and Fowler Wallce., Engineering
Mechanics - Statics and Dynamics, 5th Ed., Prentice Hall,
2007.
 Meriam J. L.,Kraige L. G., Engineering Mechanics: Statics
and Dynamics, 6th Ed., John Wiley & Sons, 2008.
 Electronic references of Statics and Dynamics, from
http://www.engnetbase.com/
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of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
One thing you learn in science is that there is
no perfect answer, no perfect measure.
A. O. Beckman
Topic 1: General Principles
Introduction and Basic Concepts
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of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
Course Objectives
 Up on completion of this chapter, the student will be
able to
 To provide an introduction to the basic quantities and
idealizations of mechanics
 To give a statement of Newton’s Laws of Motion and
Gravitation
 To review the principles for applying the SI system of
units
 To examine the standard procedures for performing
numerical calculations
 To present a general guide to solving problems
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of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
1.1 Mechanics. What is mechanics ???
Study of what happens to a “thing” (the technical name is
“body”) when FORCES are applied to it.
Mechanics
Rigid-Body
Mechanics
Statics
Deformable-Body
Mechanics
Fluid
Mechanics
Dynamics
Accelerated motion of bodies
a = const.
Equilibrium of Bodies (rest or move with constant
velocity)
v=0 or v=constant
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of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
1.1 Mechanics. What may happen if static’s is not applied properly ???
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of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
1.2 Fundamental Concepts. Newton’s Three Laws of Motion
First Law.
F = 0
Second Law.
F = ma
Third law.
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
1.3 Units of Measurement.
Four fundamental physical quantities.
Length ; Mass ; Time ; Force.
One equation relates them, F = m * a.
We use this equation to develop systems of units.
Units are arbitrary names we give to the physical quantities.
Define 3 of the units and call them the base units.
Derive the 4th unit (called the derived unit) using F = m * a
We will work with two unit systems in statics:
SI & US Customary.
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
1.3 Units of Measurement. Table 1-1 System of Units
Name
Length
Time
Mass
Force
International
System of Units
(SI)
meter
[m]
second
[s]
kilogram
[ kg ]
newton*
[N]
second
[s]
slug*
[ lb s2 ]
ft
pound
[ lb ]
U.S. Customary
(FPS)
* Derived
Units
foot
[ ft ]
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
1.3 Units of Measurement. Common Conversion Units
1 ft = 0.3048 m
1 lb = 4.4482 N
1 slug = 14.5938 kg
g = 9.81 m/s2 = 32.2 ft/s2
Work problems in the units given unless otherwise instructed!!
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
1.4 The International System of Units. Rules for Using SI Symbols
No Plurals (e.g., m = 5 kg not kgs ).
Separate Units with a • (e.g., meter second = m • s )
Most symbols are in lowercase ( some exception are N, Pa, M
and G)
Exponential powers apply to units , e.g., cm2 = cm • cm
Other rules are given in your textbook
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
1.5 Numerical Calculations.
Must have dimensional “homogeneity.” Dimensions have to be
the same on both sides of the equal sign:
e.g. distance = speed  time
Use an appropriate number of significant figures (3 for answer, at
least 4 for intermediate calculations). Why?
Be consistent when rounding off:
- greater than 5, round up (3528  3530)
- smaller than 5, round down (0.03521  0.0352)
- equal to 5, see your textbook.
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
1.6 General Procedure for Analysis.
PROBLEM SOLVING STRATEGY:
IPE, A 3 Step Approach
1. Interpret: Read carefully and determine what is given and what is to
be found/ delivered. Ask, if not clear. If necessary, make
assumptions and indicate them.
2. Plan: Think about major steps (or a road map) that you will take to
solve a given problem. Think of alternative/creative solutions
and choose the best one.
3. Execute: Carry out your steps. Use appropriate diagrams and
equations.
Estimate your answers.
Avoid simple
calculation mistakes. Reflect on / revise your work.
of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
Homework1  http://facultad. bayamon.inter.edu/omeza/
Omar E. Meza Castillo Ph.D.
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of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
¿Preguntas?
Comentarios
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of Statics and Dynamics
ENGR 3340: Fundamentals
Universidad Interamericana
MSP21
- Bayamón
GRACIAS
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