engr 3340: fundamentals of statics and dynamics fundamentals of statics and dynamics - engr 3340...

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ENGR 3340: Fundamentals of Statics and ENGR 3340: Fundamentals of Statics and Dynamics Dynamics Fundamentals of Statics and Fundamentals of Statics and Dynamics - ENGR 3340 Dynamics - ENGR 3340 Professor: Dr. Omar E. Meza Castillo Professor: Dr. Omar E. Meza Castillo [email protected] [email protected] http://facultad.bayamon.inter.edu/omeza http://facultad.bayamon.inter.edu/omeza Department of Mechanical Engineering Department of Mechanical Engineering

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Page 1: ENGR 3340: Fundamentals of Statics and Dynamics Fundamentals of Statics and Dynamics - ENGR 3340 Professor: Dr. Omar E. Meza Castillo omeza@bayamon.inter.edu

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Fundamentals of Statics and Fundamentals of Statics and Dynamics - ENGR 3340Dynamics - ENGR 3340

Professor: Dr. Omar E. Meza CastilloProfessor: Dr. Omar E. Meza [email protected]@bayamon.inter.edu

http://facultad.bayamon.inter.edu/omezahttp://facultad.bayamon.inter.edu/omezaDepartment of Mechanical EngineeringDepartment of Mechanical Engineering

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BIENVENIDBIENVENIDOSOS

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Catalog Description: 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: Prerequisites: PHYS 3311 – Physics for Engineers I. Course Text: Course Text: Hibbeler, R.C., Engineering Mechanics-

Static and Dynamics, 12th. Ed. Prentice Hall, 2010.

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Syllabus

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Absences: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 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.

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Syllabus

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Problem-Solving Technique:Problem-Solving Technique:A. KnownB. FindC. AssumptionsD. SchematicE. Analysis, andF. Results

Quiz :Quiz : There are several partial quizzes during the semester.

Partial Exams and Final Exam: Partial Exams and Final Exam: There are three partial exams during the semester, and a final exam at the end of the semester.

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Syllabus

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Final Project: Final Project: There is a final project, it will consist in the design of a mechanism with application of course knowledge.

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Syllabus

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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%100% Cheating: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.

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Most Course Material (Course Notes, Handouts, Homework, Final Project, and Communications) on Web Page:

http://facultad.bayamon.inter.edu/omeza/MECN4110a.htmhttp://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: [email protected]

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Course Materials

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Tentative Lectures Schedule

TopicTopic LectureLecture

General PrinciplesGeneral Principles 11

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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, fromhttp://www.engnetbase.com/

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Introduction and Basic Introduction and Basic ConceptsConcepts

Topic 1: General Principles

11

One thing you learn in science is that there is One thing you learn in science is that there is no perfect answer, no perfect measure.no perfect answer, no perfect measure.

A. O. BeckmanA. O. Beckman

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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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1.1 Mechanics. 1.1 Mechanics. What is mechanics ???What is mechanics ???

Study of what happens to a “thing” (the technical name is “body”) when FORCES are applied to it.

MechanicsMechanics

Rigid-BodyMechanics

Rigid-BodyMechanics

Deformable-BodyMechanics

Deformable-BodyMechanics

FluidMechanics

FluidMechanics

StaticsStatics DynamicsDynamics

Accelerated motion of bodiesa = const.

Equilibrium of Bodies (rest or move with constant velocity)v=0 or v=constant

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ics 1.1 Mechanics. 1.1 Mechanics. What may happen if static’s is not applied What may happen if static’s is not applied

properly ??? properly ???

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1.2 Fundamental Concepts. 1.2 Fundamental Concepts. Newton’s Three Laws of MotionNewton’s Three Laws of Motion

First Law.

F = 0

Second Law.

F = ma

Third law.

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1.3 Units of Measurement. 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.

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1.3 Units of Measurement. 1.3 Units of Measurement. Table 1-1 System of UnitsTable 1-1 System of Units

Name Length Time Mass Force

International System of

Units(SI)

meter[ m ]

second[ s ]

kilogram[ kg ]

newton*

[ N ]

U.S. Customary

(FPS)

foot[ ft ]

second[ s ]

slug*

[ lb s2 ]ft

pound[ lb ]

* Derived Units

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1.3 Units of Measurement. 1.3 Units of Measurement. Common Conversion UnitsCommon Conversion Units

1 ft = 0.3048 m

1 lb = 4.4482 N

1 slug = 14.5938 kg

Work problems in the units given unless otherwise instructed!!

g = 9.81 m/s2 = 32.2 ft/s2

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ics 1.4 The International System of Units. 1.4 The International System of Units. Rules for Using SI Rules for Using SI

SymbolsSymbols

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

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1.5 Numerical Calculations. 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.

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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.

1.6 General Procedure for Analysis. 1.6 General Procedure for Analysis.

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Homework1 http://facultad. bayamon.inter.edu/omeza/

Omar E. Meza Castillo Ph.D.Omar E. Meza Castillo Ph.D.

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2323

¿Preguntas?¿Preguntas?

Comentarios Comentarios

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