1st Edition
Design Engineer's Reference Guide Mathematics, Mechanics, and Thermodynamics
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