1st Edition

Design Engineer's Reference Guide Mathematics, Mechanics, and Thermodynamics

By K. L. Richards Copyright 2014
    358 Pages 239 B/W Illustrations
    by CRC Press

    358 Pages 239 B/W Illustrations
    by CRC Press

    Author Keith L. Richards believes that design engineers spend only a small fraction of time actually designing and drawing, and the remainder of their time finding relevant design information for a specific method or problem. He draws on his own experience as a mechanical engineering designer to offer assistance to other practicing and student engineers facing the same struggle. Design Engineer's Reference Guide: Mathematics, Mechanics, and Thermodynamics provides engineers with a roadmap for navigating through common situations or dilemmas.

    This book starts off by introducing reference information on the coverage of differential and integral calculus, Laplace’s transforms, determinants, and matrices. It provides a numerical analysis on numerical methods of integration, Newton–Raphson’s methods, the Jacobi iterative method, and the Gauss–Seidel method. It also contains reference information, as well as examples and illustrations that reinforce the topics of most chapter subjects.

    A companion to the Design Engineer's Handbook and Design Engineer's Case Studies and Examples, this textbook covers a range of basic engineering concepts and common applications including:

    • Mathematics

    • Numerical analysis

    • Statics and kinematics

    • Mechanical vibrations

    • Control system modeling

    • Basic thermodynamics

    • Fluid mechanics and linkages

    An entry-level text for students needing to understand the underlying principles before progressing to a more advanced level, Design Engineer's Reference Guide: Mathematics, Mechanics, and Thermodynamics is also a basic reference for mechanical, manufacturing, and design engineers.

    Mathematics

    Trigonometry

    Hyperbolic Functions

    Solution of the Quadratic Equation

    Solution of Simultaneous Equations (Two Unknowns)

    Laws of Exponents

    Expansions

    Real Root of the Equation f(x) = 0 Using the Newton–Raphson Method

    Series

    Logarithms

    Differential Calculus

    Integral Calculus

    Laplace Transforms

    Parallel Axis Theorem

    Complex Numbers

    Determinates

    Introduction

    Description

    Determinant Order

    Properties of the Determinant

    Minors and Cofactors

    Matrices

    Introduction to Numerical Methods

    Introduction

    Numerical Methods for Integration

    Evaluation of Errors

    Round-Off and Truncation Errors

    Errors Arising from Differentiation

    Integration Errors

    Series

    Newton–Raphson Method

    Iterative Methods for Solving Linear Equations

    Non-Linear Equations

    Properties of Sections and Figures

    Centroid Cx, Cy, Cz

    Moment of Inertia/Second Moment of Area

    Polar Moment of Inertia of a Plane Area

    Statics

    Force, Mass and Moments

    Structures

    Vectors and Vector Analysis

    Dynamics

    Kinematics

    Nomenclature

    Newton’s Laws of Motion (Constant Acceleration)

    Rectilinear Motions

    Circular Motion

    Absolute and Relative Motion

    Rotating Unit Vector

    Vector of Point in a Rotating Reference Frame

    Velocity of a Point in a Moving Reference Frame

    Acceleration of a Particle

    Kinematics of Rigid Bodies in One Plane

    Instantaneous Centre of Rotation

    Kinematics of Rigid Bodies in Three Dimensions

    Theorems

    Translation Motion

    Rotation About a Fixed Axis

    Rotation About a Fixed Point

    General Motion

    Mechanical Vibrations

    Introduction

    Single Degree of Freedom: Free Vibrations

    Damped Vibrations

    Single Degree of Freedom: Forced Vibrations

    Natural Frequency of Beams and Shafts

    Forced Vibrations

    Introduction to Control Systems Modelling

    Introduction

    Engineering System Models

    Block Diagram and Transfer Function Manipulations

    Physics

    Heat

    Thermodynamic Basics

    Introduction

    Basic Thermodynamics

    Conservation of Energy

    Fluid Mechanics

    Fluid Properties

    Fluid Flow

    Continuity Equation

    Hydrostatics

    Dimension Analysis

    Fluid Drag

    Properties of Water

    Channel Flow

    Orifice Plate

    Fluid Machines

    Introduction to Linkages

    Introduction

    Brief History

    Kinematic Definitions

    Kinematic Pairs

    Planar, Spherical and Spatial Mechanisms

    Mobility

    Chebyshev–Gruber–Kutzbach Criterion

    Grashof’s Law

    Four–Bar Linkage

    Mechanical Advantage of a Four-Bar Linkage

    Freudenstein’s Equation

    Drawing Velocity Vectors for Linkages

    Drawing Acceleration Vectors for Linkages

    Index

    Biography

    Keith Richards is a retired mechanical design engineer who has worked in the industry for over 55 years. Initially he served an engineering apprenticeship with B.S.A. Tools, a company that manufactured a wide range of machine tools. On leaving B.S.A., he served as a freelance engineering designer in a wide range of industries that also included aluminum rolling mill design, industrial fork lift trucks, and the Hutton tension leg platform, an offshore oil production platform. In later years, Richards was involved in the aerospace industry working on projects covering aircraft undercarriages, environmental control systems for the military and commercial aircraft.

    "Designers usually need a quick reference/validation for proposed design. This second volume will, like the first, provide a good, basic collection of math, mechanics and foundational topics they need for project work. Good resource for interdisciplinary design terms."
    ––Ronald L. Huston, Mechanical Engineering, University of Cincinnati, Ohio, USA

    "It would appear that the book addresses a large part of what mechanical design engineers need for their day-to-day work… I like the practical treatment of the subject. Key points are explained simply and clearly. There are many worked examples to illustrate the application of the theory. The book would be suitable for engineers wishing to refresh their knowledge of the topics covered."
    ––Duc Pham, University of Birmingham, UK