Mechanical engineering Books

Book SynopsisThis is a comprehensive, reader-friendly treatment of the theory behind modern elastic composite materials. The treatment includes recently developed results and methods drawn from research papers published in Eastern Europe that until now were unavailable in many western countries. Among the book's many notable features is the inclusion of more than 400 problems, many of which are solved at the end of the book. Mechanics of Elastic Composites is an outstanding textbook for graduate-level course work and a valuable reference for engineers and researchers. Developed over many years by leading experts in the field, this book will remain an important contribution to the literature for years to come.Table of ContentsList of Figures, Chapter 1 ELEMENTS OF TENSOR CALCULUS, Chapter 2 ELEMENTS OF LINEAR ELASTOSTATICS, Chapter 3 COMPOSITE LAMINATES, Chapter 4 MACROSCOPICALLY ELASTIC COMPOSITES, Chapter 5 THETHREE-DIMENSIONALLINEARIZED THEORY, Chapter 6 BUCKLING OF COMPOSITE STRIPS ANDBARS, Chapter 7 STABILITY OF COMPOSITE LAMINATES, Chapter 8 FRACTURE MECHANICS, SOLUTIONS TO SOME PROBLEMS

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Book SynopsisThe design of mechanical components for various engineering applications requires the understanding of stress distribution in the materials. The need of determining the nature of stress distribution on the components can be achieved with experimental techniques.Applications and Techniques for Experimental Stress Analysis is a timely research publication that examines how experimental stress analysis supports the development and validation of analytical and numerical models, the progress of phenomenological concepts, the measurement and control of system parameters under working conditions, and identification of sources of failure or malfunction. Highlighting a range of topics such as deformation, strain measurement, and element analysis, this book is essential for mechanical engineers, civil engineers, designers, aerospace engineers, researchers, industry professionals, academicians, and students.

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Book SynopsisThis book, divided in two volumes, originates from Techno-Societal 2020: the 3rd International Conference on Advanced Technologies for Societal Applications, Maharashtra, India, that brings together faculty members of various engineering colleges to solve Indian regional relevant problems under the guidance of eminent researchers from various reputed organizations. The focus of this volume is on technologies that help develop and improve society, in particular on issues such as sensor and ICT based technologies for the betterment of people, Technologies for agriculture and healthcare, micro and nano technological applications.This conference aims to help innovators to share their best practices or products developed to solve specific local problems which in turn may help the other researchers to take inspiration to solve problems in their region. On the other hand, technologies proposed by expert researchers may find applications in different regions. This offers a multidisciplinary platform for researchers from a broad range of disciplines of Science, Engineering and Technology for reporting innovations at different levels.Table of ContentsProvisional ToC Volume 1: Part 1. Sensor, Image and Data Driven Societal Technologies Part 2. Holistic Approach for Sustainable Technologies Part 3. Advanced Technologies for Water, Energy, Transportation, Housing and Sanitation Part 4. Chemical and Physical Processes

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Book SynopsisThis textbook explores the working principles of all kinds of turbomachines. The same theoretical framework is used to analyze the different machine types. The order in which the different kinds are treated is chosen by the possibility of gradually building up theoretical concepts. For each of the turbomachine kinds, a balance is sought between fundamental understanding and knowledge of practical aspects. Readers are invited through challenging exercises to consider how the theory applies to particular cases. This textbook appeals to senior undergraduate and graduate students in mechanical engineering and to professional engineers seeking to understand the operation of turbomachines. Readers will gain a fundamental understanding of turbomachines and will be able to make a reasoned choice of a turbomachine for a particular application. Table of Contents1. Working Principles2. Basic Components3. Fans4. Compressible Fluids5. Performance Measurement6. Steam Turbines7. Dynamic Similitude8. Pumps9. Hydraulic Turbines10. Wind Turbines11. Power Gas Turbines12. Thrust Gas Turbines13. Axial Compressors14. Radial Compressors15. Axial and Radial Turbines for GasesReferencesIndex

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Book SynopsisThis book presents new research results in the field of gravity compensation in robotic systems. It explores topics such as gravity compensation of planar articulated robotic manipulators; the stiffness modeling of manipulators with gravity compensators; the multi-degree-of-freedom counter-balancing; the design of actuators with partial gravity compensation; a cable-driven robotic suit with gravity compensation for load carriage; various compensation systems for medical cobots and assistive devices; gravity balancing of parallel robots. The volume demonstrates that gravity compensation methods continue to develop, and new approaches and solutions are constantly being reported. These solutions apply both to new structural solutions and to their new applications. Cobots, exoskeletons and robotic suits, assistive devices, as well as biomechanical systems are among the most promising applications and most pressing areas for further innovation.Table of ContentsA Modularization Approach for Gravity Compensation of Planar Articulated Robotic Manipulators.- Stiffness modeling for gravity compensators.- Multi-DOF Counterbalancing and Applications to Robots.- Parallel Elastic Actuator: Variable recruitment of parallel springs for partial gravity compensation.- Optimization and Control of a Cable-driven Robotic Suit for Load Carriage.- Tool Compensation for a Medical Cobot-Assistant.- Design of Statically Balanced Assistive Devices.- Design of Multifunctional Assistive Devices with Various Arrangements of Gravity Compenstion.- Gravity Balancing of Parallel Robots by Constant-Force Generators.

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Book SynopsisFundamentals of flight.- Three-dimensional geometry.- Kinematics.- Dynamics of rigid bodies.- Sensing and estimation.- Quadcopter dynamics.- Control and stabilization.- Advanced topics.

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Book SynopsisIn this book fluid mechanics and thermodynamics (F&T) are approached as interwoven, not disjoint fields. The book starts by analyzing the creeping motion around spheres at rest: Stokes flows, the Oseen correction and the Lagerstrom-Kaplun expansion theories are presented, as is the homotopy analysis. 3D creeping flows and rapid granular avalanches are treated in the context of the shallow flow approximation, and it is demonstrated that uniqueness and stability deliver a natural transition to turbulence modeling at the zero, first order closure level. The difference-quotient turbulence model (DQTM) closure scheme reveals the importance of the turbulent closure schemes’ non-locality effects. Thermodynamics is presented in the form of the first and second laws, and irreversibility is expressed in terms of an entropy balance. Explicit expressions for constitutive postulates are in conformity with the dissipation inequality. Gas dynamics offer a first application of combined F&T. The book is rounded out by a chapter on dimensional analysis, similitude, and physical experiments.Table of ContentsCreeping Motion around Spheres at Rest in a Newtonian Fluid.- Three-Dimensional Creeping Flow – Systematic Derivation of the Shallow Flow Approximations.- Shallow Rapid Granular Avalanches.- Uniqueness and Stability.- Turbulent Modeling.- Turbulent Mixing Length Models and Their Applications to Elementary Flow Configurations.- Thermodynamics – Fundamentals.- Thermodynamics – Field Formulation.- Gas Dynamics.- Dimensional Analysis, Similitude and Physical Experiments at Laboratory Scale.

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Book SynopsisThis book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.​ Trade ReviewFrom the reviews:“The authors give an introduction to the finite element method as a general computational method for solving partial differential equations (PDEs) approximately. … The book should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed.” (Răzvan Răducanu, Zentralblatt MATH, Vol. 1263, 2013)Table of Contents1. Piecewise Polynomial Approximation in 1D.- 2. The Finite Element Method in 1D.- 3. Piecewise Polynomial Approximation in 2D.- 4. The Finite Element Method in 2D.- 5. Time-dependent Problems.- 6. Solving Large Sparse Linear Systems.- 7. Abstract Finite Element Analysis.- 8. The Finite Element.- 9. Non-linear Problems.- 10. Transport Problems.- 11. Solid Mechanics.- 12. Fluid Mechanics.- 13. Electromagnetics.- 14. Discontinuous Galerkin Methods.- A. Some Additional Matlab Code.- References.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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Book SynopsisKnowledge is not merely everything we have come to know, but also ideas we have pondered long enough to know in which way they are related, and 1 how these ideas can be put to practical use. Modern aviation has been made possible as a result of much scienti c - search. However, the very rst useful results of this research became ava- able a considerable length of time after the aviation pioneers had made their rst ights. Apparently, researchers were not able to nd an adequate exp- nation for the occurrence of lift until the beginning of the 21st century. Also, for the fundamentals of stability and control, there was no theory available that the pioneers could rely on. Only after the rst motorized ights had been successfully made did researchers become more interested in the science of aviation, which from then on began to take shape. In modern day life, many millions of passengers are transported every year by air. People in the western societies take to the skies, on average, several times a year. Especially in areas surrounding busy airports, travel by plane has been on the rise since the end of the Second World War. Despite becoming familiar with the sight of a jumbo jet commencing its ight once or twice a day, many nd it astonishing that such a colossus with a mass of several hundred thousands of kilograms can actually lift off from the ground.Trade ReviewFrom the reviews: “This book was translated from the Dutch textbook Aeronautiek (2002) and then edited by the translators, one of whom is the senior author of the current work. It is an expansion of lecture material used by both Torenbeek and Wittenberg to instruct freshmen aerospace engineers at the Technical University of Delft from 1970 to 2000. … The work is useful to aeronautical engineering students as a good reference and as an adjunct to their course textbooks. Summing Up: Recommended. Upper-division undergraduates and graduate students.” (A. M. Strauss, Choice, Vol. 47 (5), January, 2010)Table of ContentsPreface; 1 History of Aviation; 1.1 Introduction; 1.2 Early history and the invention of ballooning; 1.3 The period between 1799 and 1870; 1.4 The decades between 1870 and 1890; 1.5 From 1890 until the Wright Flyer III; 1.6 European aviation between 1906 and 1918; 1.7 Aviation between the world wars; 1.8 Development after 1940; Bibliography; 2 Introduction to Atmospheric Flight; 2.1 Flying – How is that possible?; 2.2 Static and dynamic aviation; 2.3 Forces on the aeroplane; 2.4 Lift, drag and thrust; 2.5 Properties of air; 2.6 The earth’s atmosphere; 2.7 The standard atmosphere; 2.8 Atmospheric flight; Bibliography ; 3 Low-Speed Aerodynamics ; 3.1 Speed domains and compressibility; 3.2 Basic concepts; 3.3 Equations for steady flow; 3.4 Viscous flows; 3.5 The boundary layer; 3.6 Flow separation and drag; 3.7 Shape and scale effects on drag ; Bibliography; 4 Lift and Drag at Low Speeds; 4.1 Function and shape of aeroplane wings; 4.2 Aerofoil sections; 4.3 Circulation and lift; 4.4 Aerofoil section properties; 4.5 Wing geometry; 4.6 High-aspect ratio straight wings; 4.7 Low-aspect ratio wings ; 4.8 The whole aircraft; Bibliography; 5 Aircraft Engines and Propulsion; 5.1 History of engine development; 5.2 Fundamentals of reaction propulsion; 5.3 Engine efficiency and fuel consumption; 5.4 Piston engines in aviation; 5.5 Gas turbine engine components ; 5.6 Non-reheated turbojet and turbofan engines ; 5.7 Turboprop and turboshaft engines; 5.8 Gas turbine engine operation ; 5.9 Propeller performance; Bibliography; 6 Aeroplane Performance; 6.1 Introduction ; 6.2 Airspeed and altitude; 6.3 Equations of motion for symmetric flight; 6.4 Steady straight and level flight; 6.5 Climb and descent ; 6.6 Gliding flight; 6.7 Cruising flight; 6.8 Take-off and landing; 6.9 Horizontal steady turn; 6.10 Manoeuvre and gust loads; Bibliography; 7 Stability and Control; 7.1 Flying qualities; 7.2 Elementary concepts and definitions; 7.3 Tail surfaces and flight control; 7.4 Pitchingmoment of aerofoils; 7.5 Static longitudinal stability; 7.6 Dynamic longitudinal stability; 7.7 Longitudinal control; 7.8 Static lateral stability; 7.9 Dynamic lateral stability; 7.10 Lateral control; 7.11 Stalling and spinning ; Bibliography ; 8 Helicopter Flight Mechanics; 8.1 Helicopter general arrangements; 8.2 Hovering flight ; 8.3 The rotor in level flight; 8.4 Flight performance; 8.5 Stability and control; Bibliography; 9 High-Speed Flight; 9.1 Complications due to the compressibility of air; 9.2 Compressible flow relationships; 9.3 Speed of sound and Mach number; 9.4 Flow in a channel; 9.5 Shock waves and expansion flows; 9.6 High-subsonic speed; 9.7 Transonic speed; 9.8 Supersonic speed; 9.9 Supersonic propulsion; 9.10 Performance and operation; Bibliography; A Units and Dimensions; B Principles of Aerostatics; Index

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Book SynopsisThis comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum theories when the deformable material point is idealized as a single mathematical point. The kinematics and basic laws are rigorously derived. Based on axiomatic approach, constitutive theory is systematically derived for various kinds of materials, ranging from Stokesian fluid to thermo-visco-elastic-plastic solid. Material force and Thermomechanical-electromagnetic coupling are introduced and discussed. Moreover, general finite element methods for large-strain thermomechanical coupling physical phenomena are systematically formulated. Also, non-classical continuum theories (Nonlocal Theory, Mechanobiology, 4D printing, Poromechanics, and Non-Self-Similar Crack Propagation) are rigorously formulated with applications and demonstrated numerically.As an advanced monograph, this unique compendium can also be used as a textbook for several graduate courses, including continuum mechanics, finite element methods, and advanced engineering science theories. Extensive problems are provided to help students to better understand the topics covered.

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Book SynopsisThis unique compendium presents the Gradient Smoothing Methods (GSMs), as a general solver for linear and nonlinear PDEs (Partial Differential Equations) with a focus on fluids and flowing solids.The volume introduces the basic concepts and theories of the gradient smoothing technique used in the GSMs. Formulations for both Eulerian-GSM and Lagrangian-GSM are presented. The key ingredients of GSMs and its effectiveness in solving challenging fluid/solid flow problems with complex geometries are then discussed.Applications of GSM are highlighted, including compressible and incompressible flows, hydrodynamics with flexible free surface, and flowing solids with material strength and large deformation in geotechnical engineering, in particular, landslide simulations.In-house MATLAB codes are provided for both Eulerian and Lagrangian GSMs, along with detailed descriptions. More efficient FORTRAN source codes for solving complex engineering problems are also available on Github.

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Book SynopsisThis book introduces and illustrates modeling, sensing, and control methods for analyzing, designing, and developing spherical motors. It systematically presents models for establishing the relationships among the magnetic fields, position/orientation and force/torque, while also providing time-efficient solutions to assist researchers and engineers in studying and developing these motors. In order to take full advantage of spherical motors’ compact structure in practical applications, sensing and control methods that utilize their magnetic fields and eliminate the need to install external sensors for feedback are proposed. Further, the book investigates for the first time spherical motors’ force/torque manipulation capability, and proposes algorithms enabling the ball-joint-like end-effector for haptic use based on these motors’ hybrid position/force actuation modes. While systematically presenting approaches to their design, sensing and control, the book also provides many examples illustrating the implementation issues readers may encounter. Table of ContentsIntroduction.- Part One: Modelling Methods for PMSMs.- Distributed Multi-Pole Models.- Magnetic Force/Torque Model for Real-Time Control.- Part Two: Sensing Methods for PMSMs.- Field-Based Orientation Sensing.- A Back-EMF for Multi-DOF Method on a PMSM.- Part 3: Control Methods for PMSMs.- Direct Field-Feedback Control.- A Two-mode Six-DOF Motion System based on a Ball-joint-like PMSM for Haptic Applications.

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Book SynopsisThis book presents the select proceedings of the second International Conference on Recent Advances in Mechanical Engineering (RAME 2020). The topics covered include aerodynamics and fluid mechanics, automation, automotive engineering, composites, ceramics and polymers processing, computational mechanics, failure and fracture mechanics, friction, tribology and surface engineering, heating and ventilation, air conditioning system, industrial engineering, IC engines, turbomachinery and alternative fuels, machinability and formability of materials, mechanisms and machines, metrology and computer-aided inspection, micro- and nano-mechanics, modelling, simulation and optimization, product design and development, rapid manufacturing technologies and prototyping, solid mechanics and structural mechanics, thermodynamics and heat transfer, traditional and non-traditional machining processes, vibration and acoustics. The book also discusses various energy-efficient renewable and non-renewable resources and technologies, strategies and technologies for sustainable development and energy & environmental interaction. The book is a valuable reference for beginners, researchers, and professionals interested in sustainable construction and allied fields. Table of ContentsSpecific Heat of Nanofluids - An Experimental Investigation.- Study of Effects of Part Commonality on Stochastically Variable Product Demand.- Application of a Goal programming to optimize the schedule and frequency of product advertisement in Telemedia.- Impact of wall angle, step size and spindle speed on forming force in SPIF.- Location and capacity allocation decisions to mitigate the impacts of unexpected man-made disasters in Delhi: A Goal Programming approach.- Single slope single basin active solar still integrated with ETCs: A Review.- A review on nuclear energy based hydrogen production methods.- Experimental investigations on bubble detection in water-air two-phase vertical columns.- Design Optimization and comprehensive study of three-way cylindrical-shaped PPE sterilizer.- Power generation from waste heat by using thermoelectric modules.- Effect of SiC nanoparticles concentration on the tribological behavior of karanja oil.- Performance Characteristics of Karanja Biodiesel Blends Using Energy Audit Technique.

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Book Synopsis Is reader friendly, particularly for a beginner who has no prior knowledge in this subject, because it is more organised and better structured Treats the important step of formulating the overall stiffness matrix of a structure in a systematic and straightforward manner, which is quite often not very clearly explained in most textbooks on the market Has the level of detail and clear presentation of the subject matter as one of its main features, which is an important factor that helps the reader to easily follow and understand the topic presented Gradually build up on the subject matter, with the chapters arranged in a sequence to serve the purpose Use simple mathematical approaches wherever possible so that even a reader with knowledge of a first course in mathematics can easily understand the operations performed Table of Contents1. Introduction to Matrix Algebra 2. General Principles 3. Pin-Connected Plane Frames 4. Bending of Beams 5. Rigidly Connected Plane Frames 6. Arches 7. Grillage Analysis 8. Beams Curved in Plan 9. Pin Connected Space Frames 10. Rigidly Connected Space Frames 11. Stability of Struts and Frames 12. Vibration of Beams and Frames

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Book SynopsisStatik in der Ebene.- Schwerpunktslehre.- Reibung.- Dynamik.- Festigkeitslehre.- Fluidmechanik.

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Book SynopsisIn this updated and revised second edition, the authors present asystematic and practical approach to the analytical and numericalaspects of the prediction of rotordynamics behaviour. The influenceof bending is a main theme of the book, although the effects oftorsion are also considered. The use of finite element techniquesand the characteristics of rotor elements are introduced. The bookgoes on to consider simple models showing basic phenomena which arethen linked to industrial applications such as turbocompressors,high pressure centrifugal compressors, and steam and air turbines.Key features include: * The inclusion of a computer program available free of charge onthe Internet * The development of a simple model of co-axial multirotors * New industrial applications and 1995 API specifications This book will be of great interest and value to students andengineers concerned with predictions in rotordynamics andmechanical engineering.Table of ContentsCharacteristics of Rotor Elements. Monorotors: Simple Models, Basic Phenomena. Multirotors: Simple Models, Basic Phenomena. Rotors Equations: Solutions of Equations. A Computer Program. Towards Industrial Applications. Industrial Applications. Transient Motions. Torsion. Miscellaneous Topics. Appendices. References. Index.

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Book SynopsisR.C. Hibbeler graduated from the University of Illinois-Urbana with a B.S. in Civil Engineering (major in Structures) and an M.S. in Nuclear Engineering. He obtained his PhD in Theoretical and Applied Mechanics from Northwestern University. Professor Hibbeler's professional experience includes postdoctoral work in reactor safety and analysis at Argonne National Laboratory, and structural and stress analysis work at Chicago Bridge and Iron, as well as at Sargent and Lundy in Chicago. He has practiced engineering in Ohio, New York, and Louisiana.Table of Contents General Principles Force Vectors Equilibrium of a Particle Force System Resultants Equilibrium of a Rigid Body Structural Analysis Internal Forces Friction Center of Gravity and Centroid Moments of Inertia Virtual Work Appendix Mathematical Review and Expressions Fundamental Problems Solutions and Answers Review Problem Solutions

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Book SynopsisInvites readers to explore many of the same fundamental questions that working engineers deal with every day. This title illustrates how physical models are created from abstract mathematical ones.Trade Review"There are many books that include ideas or instructions for making mathematical models. What is special about this one is the emphasis on the relation of model- or tool-building with the physical world. The authors have devoted themselves to making wood or metal models of most of the constructions presented; 33 color plates nicely show off their success in this area."--Stan Wagon, American Scientist "The question posed by this book turns out to be a real toughie, but nevertheless the authors urge you to answer it. This gem of a book tackles several such questions, revealing why they are crucial to engineering and to our understanding of our everyday world. With a nice emphasis on practical experiments, the authors do a refreshing job of bringing out the mathematics you learned in school but sadly never knew why. And they show just how intuitive it can be."--Matthew Killeya, New Scientist "Mathematics teachers and Sudoku addicts will simply be unable to put the book down... Part magic show, part history lesson, and all about geometry, How Round Is Your Circle? is an eloquent testimonial to the authors' passion for numbers. Perhaps it will spark a similar interest in some young numerophile-to-be."--Civil Engineering "This is a great book for engineers and mathematicians, as well as the interested lay person. Although some of the theoretical mathematics may not be familiar, you can skip it without losing the point. For school teachers and lecturers seeking to inspire, this is a fantastic resource."--Owen Smith, Plus Magazine "This book is very clearly written and beautifully illustrated, with line drawings and a collection of photographs of practical models. I can strongly recommend it to anyone with a bit of math knowledge and an interest in engineering problems--a terrific book."--Norman Billingham, Journal of the Society of Model and Experimental Engineers "This book has many gems and rainbows... The book will appeal to all recreational mathematicians ... not just because of the way it is written, but also because of the way puzzles, plane dissections and packing and the odd paper folding or origami task are used to bring a point home... More than one copy of this book should be in every school library... It should help to inspire a new generation into mathematics or engineering as well as be accessible to the general reader to show how much mathematics has made the modern world."--John Sharp, LMS Newsletter "This book can be dense, but it is great for dipping into, a rich resource of interesting thinking and project ideas. Bryant and Sangwin, the engineer and the mathematician, must have had a great time putting this book together. Their enthusiasm and humor shine through."--Tim Erickson, Mathematics Teacher "The book is very nicely printed and contains many nice figures and photographs of physical models, as well as an extensive bibliography. It can be recommended as a formal or recreational lecture both for mathematicians and engineers."--EMS NewsletterTable of ContentsPreface xiii Acknowledgements xix Chapter 1: Hard Lines 1 1.1 Cutting Lines 5 1.2 The Pythagorean Theorem 6 1.3 Broad Lines 10 1.4 Cutting Lines 12 1.5 Trial by Trials 15 Chapter 2: How to Draw a Straight Line 17 2.1 Approximate-Straight-Line Linkages 22 2.2 Exact-Straight-Line Linkages 33 2.3 Hart's Exact-Straight-Line Mechanism 38 2.4 Guide Linkages 39 2.5 Other Ways to Draw a Straight Line 41 Chapter 3: Four-Bar Variations 46 3.1 Making Linkages 49 3.2 The Pantograph 51 3.3 The Crossed Parallelogram 54 3.4 Four-Bar Linkages 56 3.5 The Triple Generation Theorem 59 3.6 How to Draw a Big Circle 60 3.7 Chebyshev's Paradoxical Mechanism 62 Chapter 4: Building the World's First Ruler 65 4.1 Standards of Length 66 4.2 Dividing the Unit by Geometry 69 4.3 Building the World's First Ruler 73 4.4 Ruler Markings 75 4.5 Reading Scales Accurately 81 4.6 Similar Triangles and the Sector 84 Chapter 5: Dividing the Circle 89 5.1 Units of Angular Measurement 92 5.2 Constructing Base Angles via Polygons 95 5.3 Constructing a Regular Pentagon 98 5.4 Building the World's First Protractor 100 5.5 Approximately Trisecting an Angle 102 5.6 Trisecting an Angle by Other Means 105 5.7 Trisection of an Arbitrary Angle 106 5.8 Origami 110 Chapter 6: Falling Apart 112 6.1 Adding Up Sequences of Integers 112 6.2 Duijvestijn's Dissection 114 6.3 Packing 117 6.4 Plane Dissections 118 6.5 Ripping Paper 120 6.6 A Homely Dissection 123 6.7 Something More Solid 125 Chapter 7: Follow My Leader 127 Chapter 8: In Pursuit of Coat-Hangers 138 8.1 What Is Area? 141 8.2 Practical Measurement of Areas 149 8.3 Areas Swept Out by a Line 151 8.4 The Linear Planimeter 153 8.5 The Polar Planimeter of Amsler 158 8.6 The Hatchet Planimeter of Prytz 161 8.7 The Return of the Bent Coat-Hanger 165 8.8 Other Mathematical Integrators 170 Chapter 9: All Approximations Are Rational 172 9.1 Laying Pipes under a Tiled Floor 173 9.2 Cogs and Millwrights 178 9.3 Cutting a Metric Screw 180 9.4 The Binary Calendar 182 9.5 The Harmonograph 184 9.6 A Little Nonsense! 187 Chapter 10: How Round Is Your Circle? 188 10.1 Families of Shapes of Constant Width 191 10.2 Other Shapes of Constant Width 193 10.3 Three-Dimensional Shapes of Constant Width 196 10.4 Applications 197 10.5 Making Shapes of Constant Width 202 10.6 Roundness 204 10.7 The British Standard Summit Tests of BS3730 206 10.8 Three-Point Tests 210 10.9 Shapes via an Envelope of Lines 213 10.10 Rotors of Triangles with Rational Angles 218 10.11 Examples of Rotors of Triangles 220 10.12 Modern and Accurate Roundness Methods 224 Chapter 11: Plenty of Slide Rule 227 11.1 The Logarithmic Slide Rule 229 11.2 The Invention of Slide Rules 233 11.3 Other Calculations and Scales 237 11.4 Circular and Cylindrical Slide Rules 240 11.5 Slide Rules for Special Purposes 241 11.6 The Magnameta Oil Tonnage Calculator 245 11.7 Non-Logarithmic Slide Rules 247 11.8 Nomograms 249 11.9 Oughtred and Delamain's Views on Education 251 Chapter 12: All a Matter of Balance 255 12.1 Stacking Up 255 12.2 The Divergence of the Harmonic Series 259 12.3 Building the Stack of Dominos 261 12.4 The Leaning Pencil and Reaching the Stars 265 12.5 Spiralling Out of Control 267 12.6 Escaping from Danger 269 12.7 Leaning Both Ways! 270 12.8 Self-Righting Stacks 271 12.9 Two-Tip Polyhedra 273 12.10 Uni-Stable Polyhedra 274 Chapter 13: Finding Some Equilibrium 277 13.1 Rolling Uphill 277 13.2 Perpendicular Rolling Discs 279 13.3 Ellipses 287 13.4 Slotted Ellipses 291 13.5 The Super-Egg 292 Epilogue 296 References 297 Index 303

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Book SynopsisThis book contains a complete presentation of all branches essential for the development of gear units, in particular that of cylindrical gears. The main subareas are geometry, load capacity, gear noise, design process, quality assurance, materials, heat treatment, and manufacturing. Further topics covered are material selection, strength values, the creation of drawings as well as practical design examples. The used technical terms and standards are based on the internationally valid and applied ISO standards. This book provides the basis for practical calculations and detailed analyses. It addresses graduate engineers in research, development and manufacturing departments as well as students and postgraduates in mechanical and plant engineering, as well as in automotive, aerospace and marine engineering.With the purchase of this book, you also receive a free personal access code to download the eBook.

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