ENGR 3340: Fundamentals of Statics and Dynamics Fundamentals of Statics and Dynamics - ENGR 3340 Professor: Dr. Omar E. Meza Castillo Department of Mechanical Engineering

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 2 BIENVENIDOS

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics  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, 12 th. Ed. Prentice Hall, Syllabus

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics  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 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. 4 Syllabus

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics  Problem-Solving Technique: A.Known B.Find C.Assumptions D.Schematic E.Analysis, and F.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. 5 Syllabus

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics  Final Project:  Final Project: There is a final project, it will consist in the design of a mechanism with application of course knowledge. 6 Syllabus

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics Course Grading  The total course grade is comprised of homework assignments, quizzes, partial exams, final exam, and a project as follows: Homework15% Quiz20% Partial Exams25% Final Exam 20% Final Project20% 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. 7

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics  Most Course Material (Course Notes, Handouts, Homework, Final Project, and Communications) on Web Page:  Power Point Lectures will posted every week or two.  Office Hours: Tuesday and 9:00 to 11:0 AM  8 Course Materials

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 9 Tentative Lectures Schedule TopicLecture General Principles 1

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 10 Reference  Beer, F.P. and Johnston, E.R., Vector Mechanics for Engineers - Statics and Dynamics, 9 th Ed., McGraw-Hill,  Bedford, Anthony and Fowler Wallce., Engineering Mechanics - Statics and Dynamics, 5 th Ed., Prentice Hall,  Meriam J. L.,Kraige L. G., Engineering Mechanics: Statics and Dynamics, 6 th Ed., John Wiley & Sons,  Electronic references of Statics and Dynamics, from

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics Introduction and Basic Concepts Topic 1: General Principles 11 One thing you learn in science is that there is no perfect answer, no perfect measure. A. O. Beckman

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 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 12

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 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 Rigid-Body Mechanics Deformable-Body Mechanics Deformable-Body Mechanics Fluid Mechanics Fluid Mechanics Statics Dynamics Accelerated motion of bodies a = const. Equilibrium of Bodies (rest or move with constant velocity) v=0 or v=constant 13

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 1.1 Mechanics. What may happen if static’s is not applied properly ??? 14

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 1.2 Fundamental Concepts. Newton’s Three Laws of Motion First Law.  F = 0 Second Law.  F = ma Third law.

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 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.

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 1.3 Units of Measurement. Table 1-1 System of Units NameLengthTimeMassForce International System of Units (SI) meter [ m ] second [ s ] kilogram [ kg ] newton * [ N ] U.S. Customary (FPS) foot [ ft ] second [ s ] slug * [ lb s 2 ] ft pound [ lb ] * Derived Units

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 1.3 Units of Measurement. Common Conversion Units 1 ft = m 1 lb = N 1 slug = kg Work problems in the units given unless otherwise instructed!! g = 9.81 m/s 2 = 32.2 ft/s 2

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 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., cm 2 = cm cm Other rules are given in your textbook

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 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 (  ) - equal to 5, see your textbook.

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 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.

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics Homework1  bayamon.inter.edu/omeza/ bayamon.inter.edu/omeza/ Omar E. Meza Castillo Ph.D. 22

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 23 ¿Preguntas? Comentarios

MSP21 Universidad Interamericana - Bayamón ENGR 3340: Fundamentals of Statics and Dynamics 24 GRACIAS