Chapter 1 - ENGI 1400 Engineering Mechanics I STATICS...

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ENGI 1400 Engineering Mechanics I – STATICS Winter 2009 L. Liu, Civil and Resource Engineering Chapter 1-P1 Chapter 1 Introduction ; WHAT YOU SHOULD LEARN & UNDERSTAND FROM THIS CHAPTER? ¾ What is Mechanics, Statics? ¾ Review of Units and Fundamental Concepts? ¾ Importance of Numerical Calculation? ¾ Problem-Solving Strategies or General Procedure for Analysis? ; READING MATERIALS IN TEXTBOOK – CHAPTER 1 (Sections 1.1 – 1.6) ; Fundamental RINCIPLES and APPLICATION EXAMPLES – throughout the whole course 1.1. What is Mechanics? 1. Definition of Mechanics: Study of what happens to a “thing” (technical name is “BODY” & “OBJECT”) when FORCES are applied to it. (Study of forces and their effects on objects/bodies) -- BODY (‘OBJECT’, subject to FORCES, etc, could be large or small: chairs, dams, bridges, airplanes); -- FORCES (applied to BODY, could be large or small) -- Effects: the bodies at REST or MOTION (constant velocity or acceleration)
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ENGI 1400 Engineering Mechanics I – STATICS Winter 2009 L. Liu, Civil and Resource Engineering Chapter 1-P2 Engineers are guided by the principles of Mechanics during each step of the design and assembly of a structure; Engineers need to have a deep understanding of the physics underlying the design of OBJECTS 2. Branches of Mechanics (1) Rigid-body Mechanics – bodies that do not change shape/size/volume under forces -- Statics: study of objects in equilibrium, either at rest or motion (move with a constant velocity) -- Dynamics: study of objects in accelerated motion (move with a changing velocity) (2) Deformable-body Mechanics – bodies that do change shape/size/volume under forces (3) Fluid Mechanics (compressible fluids, incompressible fluids) Draw a flowchart 1.2. Fundamental Concepts and Principles – A Review 1. Basic Quantities – 4 Fundamental Physical Quantities: (1) Length – Space and Size Concept: -- The position/location of a point in space; distance between two points in space; the size of an object; -- unit length, multiples of the unit length (m or foot), size and geometric properties of a body/object (2) Time -- daily cycles of light and darkness measured by clocks in hrs, mins, seconds = a notion of time -- a succession of events, a measurement of lives;
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ENGI 1400 Engineering Mechanics I – STATICS Winter 2009 L. Liu, Civil and Resource Engineering Chapter 1-P3 -- mechanics are time-dependant (particular for Dynamics) Î If the position of a point/body in space relative to a reference point changes with time, Î the rate of change of its position = velocity (m/s, ft/s) Î the rate of change of its velocity = acceleration (m/s 2 , ft/s 2 ) (3) Mass -- The property of matter or a body -- Give a gravitational attraction between two bodies (Newton’s Law of Gravitational Attraction) (4) Force -- Direct or indirect interaction between two bodies (“push” or “pull”) -- Characterized by its magnitude, direction, and point of application 2. Newton’s Three Laws of Motion:
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Chapter 1 - ENGI 1400 Engineering Mechanics I STATICS...

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