DevOps Handbook: DevOps eBook for IT Professionals

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Engineering Mechanics Foreword Contents Introduction Mechanics Fundamental Concepts and Principles Fundamental Concepts Newton's Laws of Motion Newton's Law of Gravitational Attraction Units of Measurement Procedure of Problem Solving Vectors and Vector Operations Vectors and the Parallelogram Law Cartesian Vectors Cartesian Vector Representation Addition and Subtraction of Cartesian Vectors Vector Directed Along a Line Dot Product and Cross Product Cartesian Vector Formulation of the Dot Product Applications of the Dot Product Cartesian Vector Formulation of the Cross Product Simplification of Force Systems Moment of a Force about a Point Vector Formulation Principle of Moments Scalar Formulation Moment of a Force about a Specified Axis Moment of a Couple Vector Formulation Scalar Formulation Simplification of a System of Forces and Couples Equivalent System Reduction to One Force and One Couple Further Simplification Application of Simplification of Parallel Forces Center of Gravity, Center of Mass, and Centroid of a Body Center of Gravity, Center of Mass, and Centroid of Composite Bodies Reduction in Distributed Loading Equilibrium of Rigid Bodies Conditions for Rigid-Body Equilibrium Free-Body Diagrams Support Reactions Procedure of Drawing a Free-Body Diagram Equilibrium Problems of a Rigid Body Two- and Three-Force Members Constrains and Statical Determinacy Equilibrium Problems of Structures Simple Trusses The Method of Joints Zero-Force Members The Method of Sections Friction Characteristics of Friction Laws of Sliding Friction Angles of Friction and Self-Locking Problems Involving Sliding Friction Rolling Resistance Kinematics of Particles General Curvilinear Motion Curvilinear Motion: Rectangular Components Curvilinear Motion: Tangential and Normal Components The t-n-b Coordinate System Velocity Acceleration Absolute Dependent Motion Analysis of Particles Relative-Motion Analysis Using Translating Axes Planar Kinematics of Rigid Bodies Translation Rotation about a Fixed Axis Angular Motion Motion of a Particle on a Rotating Body Absolute Dependent Motion Analysis of Bodies General Plane Motion Relative-Motion Analysis: Velocity and Acceleration Instantaneous Center of Rotation Kinetics: Equations of Motion Newton's Second Law of Motion Equation of Motion for a Particle Equation of Motion for a System of Particles Mass Moment of Inertia Parallel-Axis Theorem and Radius of Gyration Mass Moment of Inertia of Composite Bodies Planar Kinetic Equations of Motion Equations of Motion for Translation Equations of Motion for Rotation about a Fixed Axis Equations of Motion for General Plane Motion Kinetics: Work and Energy Work and Power Work Power Kinetic Energy Kinetic Energy of a Particle Kinetic Energy of a System of Particles Kinetic Energy of a Rigid Body in Planar Motion Principle of Work and Energy Principle of Work and Energy for a Particle Principle of Work and Energy for a System of Particles Conservative Forces and Conservation of Energy Conservative Forces Potential Energy Principle of Conservation of Energy Kinetics: Impulse and Momentum Principle of Linear Impulse and Momentum for a Particle Linear Momentum and Linear Impulse Principle of Linear Impulse and Momentum Principle of Angular Impulse and Momentum for a Particle Angular Momentum Principle of Angular Impulse and Momentum Principle of Impulse and Momentum for a System of Particles Linear Momentum of a System of Particles Angular Momentum of a System of Particles Angular Momentum of Rigid Bodies in Planar Motion Principle of Impulse and Momentum for Rigid Bodies in Planar Motion Principle of Conservation of Momentum Answers References Engineering mechanics provides the theories and methods of describing and predicting the state of equilibrium or accelerated motion of particles or rigid bodies under the action of forces. It consists of three parts: statics (chapters 1–5), kinematics (chapters 6 and 7) and kinetics (chapters 8–10) and it is basically corresponding to the course of “theoretical mechanics” in China. It is hoped that this book will help to develop in engineering students the correct understanding of the principles of mechanics and the ability to analyze and solve engineering problems using the principles. This book can be used as a teaching material for civil engineering, hydraulic engineering, mechanical engineering, aerospace, transportation and other engineering majors in colleges and universities, and as a self-study book for relevant technical personnel.