This popular textbook, now in a revised and expanded third edition, presents a comprehensive course in modern probability theory.Probability plays an increasingly important role not only in mathematics, but also in physics, biology, finance and computer science, helping to understand phenomena such as magnetism, genetic diversity and market volatility, and also to construct efficient algorithms. Starting with the very basics, this textbook covers a wide variety of topics in probability, including many not usually found in introductory books, such as: limit theorems for sums of random variables martingales percolation Markov chains and electrical networks construction of stochastic processes Poisson point process and infinite divisibility large deviation principles and statistical physics Brownian motion stochastic integrals and stochastic differential equations. The presentation is self-contained and mathematically rigorous, with the material on probability theory interspersed with chapters on measure theory to better illustrate the power of abstract concepts. This third edition has been carefully extended and includes new features, such as concise summaries at the end of each section and additional questions to encourage self-reflection, as well as updates to the figures and computer simulations. With a wealth of examples and more than 290 exercises, as well as biographical details of key mathematicians, it will be of use to students and researchers in mathematics, statistics, physics, computer science, economics and biology.

The second edition of Applied Structural and Mechanical Vibrations: Theory and Methods continues the first edition s dual focus on the mathematical theory and the practical aspects of engineering vibrations measurement and analysis. This book emphasises the physical concepts, brings together theory and practice, and includes a number of worked-out examples of varying difficulty and an extensive list of references.

What s New in the Second Edition:

• Adds new material on response spectra
• Includes revised chapters on modal analysis and on probability and statistics
• Introduces new material on stochastic processes and random vibrations

The book explores the theory and methods of engineering vibrations. By also addressing the measurement and analysis of vibrations in real-world applications, it provides and explains the fundamental concepts that form the common background of disciplines such as structural dynamics, mechanical, aerospace, automotive, earthquake, and civil engineering. Applied Structural and Mechanical Vibrations: Theory and Methods presents the material in order of increasing complexity. It introduces the simplest physical systems capable of vibratory motion in the fundamental chapters, and then moves on to a detailed study of the free and forced vibration response of more complex systems. It also explains some of the most important approximate methods and experimental techniques used to model and analyze these systems.

With respect to the first edition, all the material has been revised and updated, making it a superb reference for advanced students and professionals working in the field."

This textbook provides a guide to the fundamental principles of acoustics in a straightforward manner using a solid foundation in mathematics and physics. It is designed for those who are new to acoustics and noise control, and includes all the necessary material for a comprehensive understanding of the topic. It is written in lecture-note style and can be easily adapted to an acoustics-related one semester course at the senior undergraduate or graduate level. The book also serves as a ready reference for the practicing engineer new to the application of acoustic principles arising in product design and fabrication.

Since the publication of the first edition, considerable progress has been made in the development and application of active noise control (ANC) systems, particularly in the propeller aircraft and automotive industries. Treating the active control of both sound and vibration in a unified way, this second edition of Active Control of Noise and Vibration continues to combine coverage of fundamental principles with the most recent theoretical and practical developments. What's New in This Edition Revised, expanded, and updated information in every chapter Advances in feedforward control algorithms, DSP hardware, and applications Practical application examples of active control of noise propagating in ducts The use of a sound intensity cost function, model reference control, sensing radiation modes, modal filtering, and a comparison of the effectiveness of various sensing strategies New material on feedback control of sound transmission into enclosed spaces New material on model uncertainty, experimental determination of the system model, optimization of the truncated model, collocated actuators and sensors, biologically inspired control, and a discussion of centralised versus de-centralised control A completely revised chapter on control system implementation New material on parametric array loudspeakers, turbulence filtering, and virtual sensing More material on smart structures, electrorheological fluids, and magnetorheological fluids Integrating the related disciplines of active noise control and active vibration control, this comprehensive two-volume set explains how to design and implement successful active control systems in practice. It also details the pitfalls one must avoid to ensure a reliable and stable system.

Dynamics and Vibration: An Introduction is a textbook to support Dynamics and Vibration modules across a wide range of undergraduate engineering courses from first year to final year including civil, mechanical, aerospace and medical engineering. The unique DAMA software, included as a free online resource, generates computer simulations that provide students with a new way to visualise the motion of mechanisms and vibrating systems. By varying the input and output parameters of the simulations themselves, students can clearly see and understand the effects of system changes.

Dynamics and Vibration: An Introduction is well structured and easy to understand, with a wealth of examples and tutorial questions. It offers lecutres and student of Dynamics and Vibration a practical and concise resource specifically for their needs.

Topics covered include: motion of particles and rigid bodies with and without reference to masses and forces (Kinematics and Kinetics) including motion of wheels, gears, linkages and mechanisms; balancing of machines including rotating masses and multi-cylinder engines; free and forced vibration of a single degree of freedom (mass, a spring and a damper) including damped, damped systems and vibration isolators; free and forced vibration of two-degree of freedom systems including vibration of bars and lateral vibration absorbers; vibration of continuous systems including lateral vibration of cables, longitudinal vibration of bars and lateral vibration of beams using analytical solution and Finite Element Method.

Designed as a text for senior undergraduate and postgraduate students of mechanical engineering offering courses in mechanical vibrations, this comprehensive book covers both the mathematical and physical aspects of mechanical vibrations. The book examines the models and tools used in studying mechanical vibrations and the techniques employed for the development of solutions from a practical perspective. It uses minimum of mathematics so that the average reader - both students and practising engineers - can comprehend the subject with ease. To enable practical understanding of the subject, numerous solved and unsolved problems involving a wide range of practical situations are incorporated in every chapter.

An earthquake is a powerful surface acoustic wave (SAW) generated by a seismic event, such as a volcano or motion of the Earth's layers, that propagates on the Earth's surface. This book explains the design of earthquake resistant structures using SAW techniques that offer a variety of experimental setups and theoretical models. Designs of protecting systems able to dissipate or deflect SSW energy built around buildings or towns located in earthquake regions set this book apart from other seismology publications.

This book covers the essentials of developments in the area of plate structures and presents them so that the readers can obtain a quick understanding and overview of the subject. Several theoretical models are employed for their analysis and design starting from the classical thin plate theory to alternatives obtained by incorporation of appropriate complicating effects or by using fundamentally different assumptions. The book includes pedagogical features like end-of-chapter exercises and worked examples to help students in self-learning. The book is extremely useful for the senior undergraduate and postgraduate students of aerospace engineering and mechanical engineering.

This textbook draws on the authors' experience gained by teaching courses for engineering students on e.g. vehicle mechanics, vehicle system design, and chassis design; and on their practical experience as engineering designers for vehicle and chassis components at a major automotive company. The book is primarily intended for students of automotive engineering, but also for all technicians and designers working in this field. Other enthusiastic engineers will also find it to be a useful technical guide. The present volume (The Automotive Chassis - Volume 1: Component Design) focuses on automotive chassis components, such as:* the structure, which is usually a ladder framework and supports all the remaining components of the vehicle;* the suspension for the mechanical linkage of the wheels;* the wheels and tires;* the steering system;* the brake system; and* the transmission system, used to apply engine torque to the driving wheels. This thoroughly revised and updated second edition presents recent developments, particularly in brake, steering, suspension and transmission subsystems. Special emphasis is given to modern control systems and control strategies.

Der Transrapid bietet im Hochgeschwindigkeitsbereich eine sehr interessante Alternative. Die Autoren zeigen in einem Systemvergleich Vor- und Nachteile des Transrapid im Vergleich mit konventionellen Rad-Schiene-Systemen, im Hochgeschwindigkeitsbereich auf Strecken zwischen 150 und 800 Kilometern und als peer-to-peer-Verbindung im Kurzstreckenbereich. Berucksichtigt werden alle wichtigen technischen, wirtschaftlichen und okologischen Faktoren. Damit kann die Frage der okonomischen wie okologischen Bewertung des Systems Transrapid neu diskutiert werden.

Dieses Buch wendet sich an Entscheidungstrager sowie an Ingenieure und Wissenschaftler, die uber Fakten Zugang zu neuen technischen, wirtschaftlichen und politischen Entscheidungen suchen."

Gain a Unique and Comprehensive Understanding of UltrasonicsDespite its importance, most books on ultrasonics cover only very specific sub-fields of the science. They generally also take a more mathematical approach and lack the wider scope needed to truly improve understanding and facilitate practical use of ultrasonics across a wide range of disciplines. Create Efficient Systems for Any Environment Ultrasonics Data covers the science, technology, and application of ultrasonics. It discusses everything from sensors to systems, dealing primarily with both low- and high-intensity industrial and medical ultrasonic applications. It presents data and functions from different areas of science and technology to help readers better comprehend and more effectively use ultrasound energy. Starting with relevant basic ultrasonic equations, the authors explore the application of finite elements to the design of vibrating bars, horns, plates, rings, large horns, and blades. They analyze properties and design data applicable to piezoelectric materials and transducers, as well as magnetostrictive, pneumatic, and liquid transducers. The book examines the mechanical and physical properties of materials, including those necessary for welding and forming. Using practical applications, the book explores the chemical properties and compatibilities of materials, and the chemical effects of ultrasound. There is also information on nondestructive testing applications and the modern equipment used to carry them out, including electromagnetic acoustic transducers (EMATs) and lasers. A "Big-Picture" Focus on Practical Data and Principles Versatile as a reference for engineers, researchers, and graduate students, this book summarizes the history of ultrasonics, projects future advances, and evaluates the practicality of new ideas. Helping system designers meet the requirements of present and future developments, it covers a range of applications to inspire new innovations using ultrasonics.

Dynamical systems and the twin field ergodic theory have their roots in the qualitative theory of differential equations, developed by the great mathematician Henri Poincare, and in the kinetic theory of gases built in mathematical terms by physicists James Clerk Maxwell and Ludwig Boltzmann. Together, they aim to model, explain and predict the behavior of natural and artificial phenomena which evolve in time. For more than three decades, Marcelo Viana has been making several outstanding contributions to this area of mathematics. This volume contains a selection of his research papers, covering a wide range of topics: rigorous theory of strange attractors, physical measures, bifurcation theory, homoclinic phenomena, fractal dimensions, partial hyperbolicity, thermodynamic formalism, non-uniform hyperbolicity, interval exchange maps Teichmuller flows, and the modern theory of Lyapunov exponents. Marcelo Viana, a world leader in this field, has been the object of several academic distinctions, such as the inaugural Ramanujan prize of the International Centre for Theoretical Physics, and the Louis D. Scientific Grand Prix of the Institut de France. He is also recognized for his broad contribution to the mathematical community, in his country and region as well as in the international arena.

An advanced look at vibration analysis with a focus on active vibration suppression As modern devices, from cell phones to airplanes, become lighter and more flexible, vibration suppression and analysis becomes more critical. Vibration with Control, 2nd Edition includes modelling, analysis and testing methods. New topics include metastructures and the use of piezoelectric materials, and numerical methods are also discussed. All material is placed on a firm mathematical footing by introducing concepts from linear algebra (matrix theory) and applied functional analysis when required. Key features: * Combines vibration modelling and analysis with active control to provide concepts for effective vibration suppression. * Introduces the use of piezoelectric materials for vibration sensing and suppression. * Provides a unique blend of practical and theoretical developments. * Examines nonlinear as well as linear vibration analysis. * Provides Matlab instructions for solving problems. * Contains examples and problems. * PowerPoint Presentation materials and digital solutions manual available for instructors. Vibration with Control, 2nd Edition is an ideal reference and textbook for graduate students in mechanical, aerospace and structural engineering, as well as researchers and practitioners in the field.

The Handbook of Signal Processing in Acoustics brings together a wide range of perspectives from over 100 authors to reveal the interdisciplinary nature of the subject. It brings the key issues from both acoustics and signal processing into perspective and is a unique resource for experts and practitioners alike to find new ideas and techniques within the diversity of signal processing in acoustics.

Mit der Renaissance des Schienenverkehrs hat das Spezialgebiet "Schienenfahrzeugdynamik" an Bedeutung gewonnen. Auf entsprechendes Interesse wird das erste Buch im deutschsprachigen Raum stossen, das hier seinen Schwerpunkt hat. Obwohl es auf der Vorlesung "Schienenfahrzeugdynamik" an der TU Berlin basiert und Vorkenntnisse bezuglich Mechanik, Schwingungslehre und angewandter Mathematik voraussetzt, spricht es auch den Praktiker an.

Das Buch behandelt die Vertikaldynamik bis hin zu Komfortbetrachtungen und die Lateraldynamik so weit, dass dem Leser ein Verstandnis der Stabilitat von Schienenfahrzeugen moglich ist. Den Vorgangen im Kontakt Rad/Schiene wird besondere Aufmerksamkeit gewidmet. Es enthalt die jungsten Erkenntnisse aus Forschung und Bahnpraxis. Die Autoren gehen detailliert auf die spezielle Terminologie der Schienenfahrzeugdynamik und benachbarter Fachgebiete ein."

This book is comprised of the latest research into CSS methods, uses, and results, as presented at the 2020 annual conference of the Computational Social Science Society of the Americas (CSSSA). Computational social science (CSS) is the science that investigates social and behavioral dynamics through social simulation, social network analysis, and social media analysis. The CSSSA is a professional society that aims to advance the field of computational social science in all areas, including basic and applied orientations, by holding conferences and workshops, promoting standards of scientific excellence in research and teaching, and publishing research findings and results. The above-mentioned conference was held virtually, October 8 - 11, 2020. What follows is a diverse representation of new results and approaches to using the tools of CSS and agent-based modeling (ABM) in exploring complex phenomena across many different domains. Readers will therefore not only have the results of these specific projects upon which to build, along with a wealth of case-study examples that can serve as meaningful exemplars for new research projects and activities, they will also gain a greater appreciation for the broad scope of CSS.

This book (Vol. - I) presents select proceedings of the first Online International Conference on Recent Advances in Computational and Experimental Mechanics (ICRACEM 2020) and focuses on theoretical, computational and experimental aspects of solid and fluid mechanics. Various topics covered are computational modelling of extreme events; mechanical modelling of robots; mechanics and design of cellular materials; mechanics of soft materials; mechanics of thin-film and multi-layer structures; meshfree and particle based formulations in continuum mechanics; multi-scale computations in solid mechanics, and materials; multiscale mechanics of brittle and ductile materials; topology and shape optimization techniques; acoustics including aero-acoustics and wave propagation; aerodynamics; dynamics and control in micro/nano engineering; dynamic instability and buckling; flow-induced noise and vibration; inverse problems in mechanics and system identification; measurement and analysis techniques in nonlinear dynamic systems; multibody dynamical systems and applications; nonlinear dynamics and control; stochastic mechanics; structural dynamics and earthquake engineering; structural health monitoring and damage assessment; turbomachinery noise; vibrations of continuous systems, characterization of advanced materials; damage identification and non-destructive evaluation; experimental fire mechanics and damage; experimental fluid mechanics; experimental solid mechanics; measurement in extreme environments; modal testing and dynamics; experimental hydraulics; mechanism of scour under steady and unsteady flows; vibration measurement and control; bio-inspired materials; constitutive modelling of materials; fracture mechanics; mechanics of adhesion, tribology and wear; mechanics of composite materials; mechanics of multifunctional materials; multiscale modelling of materials; phase transformations in materials; plasticity and creep in materials; fluid mechanics, computational fluid dynamics; fluid-structure interaction; free surface, moving boundary and pipe flow; hydrodynamics; multiphase flows; propulsion; internal flow physics; turbulence modelling; wave mechanics; flow through porous media; shock-boundary layer interactions; sediment transport; wave-structure interaction; reduced-order models; turbo-machinery; experimental hydraulics; mechanism of scour under steady and unsteady flows; applications of machine learning and artificial intelligence in mechanics; transport phenomena and soft computing tools in fluid mechanics. The contents of these two volumes (Volumes I and II) discusses various attributes of modern-age mechanics in various disciplines, such as aerospace, civil, mechanical, ocean engineering and naval architecture. The book will be a valuable reference for beginners, researchers, and professionals interested in solid and fluid mechanics and allied fields.

Understanding and controlling vibration is critical for reducing noise, improving work environments and product quality, and increasing the useful life of industrial machinery and other mechanical systems. Computer-based modeling and analytical tools provide fast, accurate, and efficient means of designing and controlling a system for improved vibratory and, subsequently, acoustic performance. Computer Techniques in Vibration provides an overview as well as a detailed account and application of the various tools and techniques available for modeling and simulating vibrations. Drawn from the immensely popular Vibration and Shock Handbook, each expertly crafted chapter of this book includes convenient summary windows, tables, graphs, and lists to provide ready access to the important concepts and results. Working systematically from general principles to specific applications, the coverage spans from numerical techniques, modeling, and software tools to analysis of flexibly supported multibody systems, finite element applications, vibration signal analysis, fast Fourier transform (FFT), and wavelet techniques and applications. MATLAB (R) toolboxes and other widely available software packages feature prominently in the discussion, accompanied by numerous examples, sample outputs, and a case study. Instead of wading through heavy volumes or software manuals for the techniques you need, find a ready collection of eminently practical tools in Computer Techniques in Vibration.

The study of vibrations and waves is central to physics and engineering disciplines.This text contains a detailed treatment of vibrations and waves at an introductory level suitable for second and third year students. It builds on first year physics and emphasizes understanding of vibratory motion and waves based on first principles. Since waves appear in almost all branches of physics and engineering, readers will be exposed to many different types of waves; this study aims to draw together their similarities, by examining them in a common language. The book is divided into three parts: Part I contains a preliminary chapter that serves as a review of relevant ideas of mechanics and complex numbers. Part II is devoted to a detailed discussion of vibrations of mechanical systems. This part covers simple harmonic oscillator, coupled oscillators, normal coordinates, beaded string, continuous string, and Fourier series. It concludes with a presentation of stationary solutions of driven finite systems. Part III is concerned with waves, focusing on the discussion of common aspects of all types of waves, and the applications to sound, electromagnetic, and matter waves are illustrated. Finally, relevant examples are provided at the end of the chapters to illustrate the main ideas, and better the reader's understanding.

Mechanics of Mechanisms and Machines provides a practical approach to machine statics, kinematics, and dynamics for undergraduate and graduate students and mechanical engineers. The text uses a novel method for computation of mechanism and robot joint positions, velocities, accelerations; and dynamics and statics using matrices, graphs, and generation of independent equations from a matroid form. The computational methods presented can be used for industrial and commercial robotics applications where accurate and quick mechanism/robot control is key. The book includes many examples of linkages, cams, and geared mechanisms, both planar and spatial types, having open or multiple cycles. Features * Presents real-world examples to help in the design process of planar and spatial mechanisms * Serves as a practical guide for the design of new products using mechanical motion analysis * Analyzes many applications for gear trains and auto transmissions, robotics and manipulation, and the emerging field of biomechanics * Presents novel matrix computational methods, ideal for the development of efficient computer implementations of algorithms for control or simulation of mechanical linkages, cams, and geared mechanisms * Includes mechanism animations and result data tables as well as comparisons between matrix-based equation results implemented using Engineering Equation Solver (EES) and results for the same mechanisms simulated using SolidWorks.

Focuses on the Basic Methodologies Needed to Handle Random Processes After determining that most textbooks on random vibrations are mathematically intensive and often too difficult for students to fully digest in a single course, the authors of Random Vibration: Mechanical, Structural, and Earthquake Engineering Applications decided to revise the current standard. This text incorporates more than 20 years of research on formulating bridge design limit states. Utilizing the authors' experience in formulating real-world failure probability-based engineering design criteria, and their discovery of relevant examples using the basic ideas and principles of random processes, the text effectively helps students readily grasp the essential concepts. It eliminates the rigorous math-intensive logic training applied in the past, greatly reduces the random process aspect, and works to change a knowledge-based course approach into a methodology-based course approach. This approach underlies the book throughout, and students are taught the fundamental methodologies of accounting for random data and random processes as well as how to apply them in engineering practice. Gain a Deeper Understanding of the Randomness in Sequences Presented in four sections, the material discusses the scope of random processes, provides an overview of random processes, highlights random vibrations, and details the application of the methodology. Relevant engineering examples, included throughout the text, equip readers with the ability to make measurements and observations, understand basic steps, validate the accuracy of dynamic analyses, and master and apply newly developed knowledge in random vibrations and corresponding system reliabilities. Comprising 11 Chapters, this text: Reviews the theory of probability and applies it from an engineering perspective Introduces basic concepts and formulas to prepare for discussions of random processes Emphasizes the essence of probability as the chance of occurrence in sample space Covers two important issues in engineering practice, the uncertainty of data and the probability of failure Explores the random processes in the time domain Explains the nature of time-varying variables by joint PDF through the Kolmogorov extension Examines random processes in the frequency domain Discusses several basic and useful models of random processes Presents a new set of statistics for random processes Employs an approach to present important processes within the context of practical engineering problems Includes the generality of dealing with randomness and the difference between random variables and processes Focuses on the topic of vibration problems Addresses the basic parameters of linear single-degree-of-freedom (SDOF) systems Stresses a new method of random process referred to as time series Details linear multi-degree-of-freedom (MDOF) systems Describes the statistical analyses of direct approach based on model decoupling of proportionally and nonproportionally-damped systems Provides materials on the applications of random processes and vibration Discusses statistical studies on random data and model identifications Describes the nonlinear phenomena and the general approach of linearization Highlights a special method of Monte Carlo simulation, and more Random Vibration: Mechanical, Structural, and Earthquake Engineering Applications effectively integrates the basic ideas, concepts, principles, and theories of random processes. This enables students to understand the basic methodology and establish their own logic to systematically handle the issues facing the theory and application of random vibrations.

Advanced Steel Design of Structures examines the design principles of steel members under special loads and covers special geometric forms and conditions not typically presented in standard design books. It explains advanced concepts in a simple manner using numerous illustrative examples and MATLAB (R) codes. Features: Provides analysis of members under unsymmetrical bending Includes coverage of structures with special geometry and their use in offshore applications for ultra-deep water oil and gas exploration Presents numerical modeling and analysis of steel members under fire conditions, impact, and blast loads Includes MATLAB (R) examples that will aid in the capacity building of civil engineering students approaching this complex subject Written for a broad audience, the presentation of design concepts of steel members will be suitable for upper-level undergraduate students. The advanced design theories for offshore structures under special loads will be an attractive feature for post-graduate students and researchers. Practicing engineers will also find the book useful, as it includes numerous solved examples and practical tutorials.

This book deals with the structural vibration reduction making use of passive damping control techniques by means of surface treatments with viscoelastic materials. In fact, this kind of vibration control technique is largely utilised nowadays for several industrial applications, such as aeronautical and automotive components. In this context, this work involves a double objective. On the one hand, a classical and contemporarily relevant survey on different subjects concerning viscoelastic treatments is provided. On the other hand, two examples of application are shown.

This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces analytical and numerical methods for solving a broad range of pertinent problems. Topics include an in-depth discussion of kinematics, elements of differential geometry of lines and surfaces, vortex dynamics, properties and computation of interfacial shapes in hydrostatics, exact solutions, flow at low Reynolds numbers, interfacial flows, hydrodynamic stability, boundary-layer analysis, vortex motion, boundary-integral methods for potential and Stokes flow, principles of computational fluid dynamics (CFD), and finite-difference methods for Navier-Stokes flow.
The discourse includes classical and original topics, as well as derivations accompanied by solved and unsolved problems that illustrate the theoretical results and explain the implementation of the numerical methods. Appendices provide a wealth of information and establish the necessary mathematical and numerical framework.
A unique and comprehensive synthesis of the essential aspects of the discipline, this volume serves as an ideal textbook in several graduate courses on theoretical and computational fluid dynamics, applied mathematics, and scientific computing. The material is an indispensable resource for professionals and researchers in various fields of science, chemical, mechanical, biomechanical, civil and aerospace engineering.

Authors: Hugo Bachmann, Walter J. Ammann, Florian Deischl, Josef Eisenmann, Ingomar Floegl, Gerhard H. Hirsch, Gunter K. Klein, Goran J. Lande, Oskar Mahrenholtz, Hans G. Natke, Hans Nussbaumer, Anthony J. Pretlove, Johann H. Rainer, Ernst-Ulrich Saemann, Lorenz Steinbeisser. Large structures such as factories, gymnasia, concert halls, bridges, towers, masts and chimneys can be detrimentally affected by vibrations. These vibrations can cause either serviceability problems, severely hampering the user's comfort, or safety problems. The aim of this book is to provide structural and civil engineers working in construction and environmental engineering with practical guidelines for counteracting vibration problems. Dynamic actions are considered from the following sources of vibration: - human body motions, - rotating, oscillating and impacting machines, - wind flow, - road traffic, railway traffic and construction work. The main section of the book presents tools that aid in decision-making and in deriving simple solutions to cases of frequently occurring "normal" vibration problems. Complexer problems and more advanced solutions are also considered. In all cases these guidelines should enable the engineer to decide on appropriate solutions expeditiously. The appendices of the book contain fundamentals essential to the main chapters.