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. 3 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 8 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/ 10 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 11 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 12 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 13 of Statics and Dynamics ENGR 3340: Fundamentals Universidad Interamericana MSP21 - Bayamón 1.1 Mechanics. What may happen if static’s is not applied properly ??? 14 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. 22 of Statics and Dynamics ENGR 3340: Fundamentals Universidad Interamericana MSP21 - Bayamón ¿Preguntas? Comentarios 23 of Statics and Dynamics ENGR 3340: Fundamentals Universidad Interamericana MSP21 - Bayamón GRACIAS 24