Numerical Methods in Mechanics of Materials

Numerical Methods in Mechanics of Materials
Author: Ken P. Chong,Arthur P. Boresi,Sunil Saigal,James D. Lee
Publsiher: CRC Press
Total Pages: 318
Release: 2017-11-27
Genre: Technology & Engineering
ISBN: 9781351380997

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In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems. However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends and new developments in simulation and computation Weighted residuals methods Finite difference methods Finite element methods Finite strip/layer/prism methods Boundary element methods Meshless methods Molecular dynamics Multiphysics problems Multiscale methods

Numerical Analysis with Applications in Mechanics and Engineering

Numerical Analysis with Applications in Mechanics and Engineering
Author: Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea
Publsiher: John Wiley & Sons
Total Pages: 646
Release: 2013-05-07
Genre: Computers
ISBN: 9781118614624

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A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.

Engineering Mechanics of Materials

Engineering Mechanics of Materials
Author: B.B. Muvdi,J.W. McNabb
Publsiher: Springer Science & Business Media
Total Pages: 693
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 9781461230229

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4. 2 Solid Circular Shafts-Angle of Twist and Shearing Stresses 159 4. 3 Hollow Circular Shafts-Angle of Twist and Shearing Stresses 166 4. 4 Principal Stresses and Strains Associated with Torsion 173 4. 5 Analytical and Experimental Solutions for Torsion of Members of Noncircular Cross Sections 179 4. 6 Shearing Stress-Strain Properties 188 *4. 7 Computer Applications 195 5 Stresses in Beams 198 5. 1 Introduction 198 5. 2 Review of Properties of Areas 198 5. 3 Flexural Stresses due to Symmetric Bending of Beams 211 5. 4 Shear Stresses in Symmetrically Loaded Beams 230 *5. 5 Flexural Stresses due to Unsymmetric Bending of Beams 248 *5. 6 Computer Applications 258 Deflections of Beams 265 I 6. 1 Introduction 265 6. 2 Moment-Curvature Relationship 266 6. 3 Beam Deflections-Two Successive Integrations 268 6. 4 Derivatives of the Elastic Curve Equation and Their Physical Significance 280 6. 5 Beam Deflections-The Method of Superposition 290 6. 6 Construction of Moment Diagrams by Cantilever Parts 299 6. 7 Beam Deflections-The Area-Moment Method 302 *6. 8 Beam Deflections-Singularity Functions 319 *6. 9 Beam Deflections-Castigliano's Second Theorem 324 *6. 10 Computer Applications 332 7 Combined Stresses and Theories of Failure 336 7. 1 Introduction 336 7. 2 Axial and Torsional Stresses 336 Axial and Flexural Stresses 342 7. 3 Torsional and Flexural Stresses 352 7. 4 7. 5 Torsional, Flexural, and Axial Stresses 358 *7. 6 Theories of Failure 365 Computer Applications 378 *7.

Numerical Methods in Mechanics of Materials 3rd ed

Numerical Methods in Mechanics of Materials  3rd ed
Author: Ken P. Chong,Arthur P. Boresi,Sunil Saigal,James D. Lee
Publsiher: CRC Press
Total Pages: 318
Release: 2017-11-27
Genre: Technology & Engineering
ISBN: 9781351380980

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In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems. However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends and new developments in simulation and computation Weighted residuals methods Finite difference methods Finite element methods Finite strip/layer/prism methods Boundary element methods Meshless methods Molecular dynamics Multiphysics problems Multiscale methods

Fundamentals of Engineering Examination Review 2001 2002 Edition

Fundamentals of Engineering Examination Review 2001 2002 Edition
Author: Donald G. Newnan
Publsiher: Dearborn Trade Publishing
Total Pages: 135
Release: 2004
Genre: Study Aids
ISBN: 0793185149

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Perfect for anyone (students or engineers) preparing for the FE exam; Endorsed by a former Director of Exams from the NCEES Describes exam structure, exam day strategies, exam scoring, and passing rate statistics; All problems in SI units in line with the new exam format Covers all the topics on the FE exam, carefully matching exam structure: Mathematics, Statics, Dynamics, Mechanics of Materials, Fluid Mechanics, Thermodynamics, Electrical Circuits, Materials Engineering, Chemistry, Computers, Ethics, and Engineering Economy; Each chapter is written by an expert in the field, contains a thorough review of the topic as covered on the test, and ends with practice problems and detailed solutions Includes a complete eight-hour sample exam with 120 morning (AM) questions, 60 general afternoon (PM) questions, and complete step-by-step solutions to all problems; 918 problems total: 60% text; 40% problems and solutions

Handbook of Mechanics Materials and Structures

Handbook of Mechanics  Materials  and Structures
Author: Alexander Blake
Publsiher: John Wiley & Sons
Total Pages: 736
Release: 1991-01-16
Genre: Technology & Engineering
ISBN: 0471862398

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The professional's source . Handbooks in the Wiley Series in Mechanical Engineering Practice Handbook of Energy Systems Engineering Production and Utilization Edited by Leslie C. Wilbur Here is the essential information needed to select, compare, and evaluate energy components and systems. Handbook of Energy Systems is a rich sourcebook of reference data and formulas, performance criteria, codes and standards, and techniques used in the development and production of energy. It focuses on the major sources of energy technology: coal, hydroelectric and nuclear power, petroleum, gas, and solar energy Each section of the Handbook is a mini-primer furnishing modern methods of energy storage, conservation, and utilization, techniques for analyzing a wide range of components such as heat exchangers, pumps, fans and compressors, principles of thermodynamics, heat transfer and fluid dynamics, current energy resource data and much more. 1985 (0 471-86633-4) 1,300 pp.

Computational Methods for Optimizing Manufacturing Technology Models and Techniques

Computational Methods for Optimizing Manufacturing Technology  Models and Techniques
Author: Davim, J. Paulo
Publsiher: IGI Global
Total Pages: 395
Release: 2012-02-29
Genre: Technology & Engineering
ISBN: 9781466601291

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"This book contains the latest research developments in manufacturing technology and its optimization, and demonstrates the fundamentals of new computational approaches and the range of their potential application"--Provided by publisher.

A First Course in the Finite Element Method

A First Course in the Finite Element Method
Author: Daryl L. Logan
Publsiher: THOMSON
Total Pages: 836
Release: 2002
Genre: Mathematics
ISBN: 9182736450XXX

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Finite Element Modeling and Simulation with ANSYS Workbench Second Edition

Finite Element Modeling and Simulation with ANSYS Workbench  Second Edition
Author: Xiaolin Chen,Yijun Liu
Publsiher: CRC Press
Total Pages: 457
Release: 2018-09-05
Genre: Science
ISBN: 9781351045858

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Finite Element Modeling and Simulation with ANSYS Workbench 18, Second Edition, combines finite element theory with real-world practice. Providing an introduction to finite element modeling and analysis for those with no prior experience, and written by authors with a combined experience of 30 years teaching the subject, this text presents FEM formulations integrated with relevant hands-on instructions for using ANSYS Workbench 18. Incorporating the basic theories of FEA, simulation case studies, and the use of ANSYS Workbench in the modeling of engineering problems, the book also establishes the finite element method as a powerful numerical tool in engineering design and analysis. Features Uses ANSYS WorkbenchTM 18, which integrates the ANSYS SpaceClaim Direct ModelerTM into common simulation workflows for ease of use and rapid geometry manipulation, as the FEA environment, with full-color screen shots and diagrams. Covers fundamental concepts and practical knowledge of finite element modeling and simulation, with full-color graphics throughout. Contains numerous simulation case studies, demonstrated in a step-by-step fashion. Includes web-based simulation files for ANSYS Workbench 18 examples. Provides analyses of trusses, beams, frames, plane stress and strain problems, plates and shells, 3-D design components, and assembly structures, as well as analyses of thermal and fluid problems.

Numerical Methods and Optimization

Numerical Methods and Optimization
Author: Jean-Pierre Corriou
Publsiher: Springer Nature
Total Pages: 135
Release: 2022
Genre: Electronic Book
ISBN: 9783030893668

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Mathematical Methods for Accident Reconstruction

Mathematical Methods for Accident Reconstruction
Author: Harold Franck,Darren Franck
Publsiher: CRC Press
Total Pages: 328
Release: 2009-09-15
Genre: Law
ISBN: 1420089013

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Over the past 25 years, Harold and Darren Franck have investigated hundreds of accidents involving vehicles of almost every shape, size, and type imaginable. In Mathematical Methods for Accident Reconstruction: A Forensic Engineering Perspective, these seasoned experts demonstrate the application of mathematics to modeling accident reconstructions involving a range of moving vehicles, including automobiles, small and large trucks, bicycles, motorcycles, all-terrain vehicles, and construction equipment such as hoists and cranes. The book is anchored on basic principles of physics that may be applied to any of the above-named vehicles or equipment. Topics covered include the foundations of measurement, the various energy methods used in reconstruction, momentum methods, vehicle specifications, failure analysis, geometrical characteristics of highways, and softer scientific issues such as visibility, perception, and reaction. The authors examine the fundamental characteristics of different vehicles, discuss the retrieval of data from crash data recorders, and review low speed impacts with an analysis of staged collisions. Finally, the book details standards and protocols for accident reconstruction. Exploring a broad range of accident scenarios and also acknowledging the limits of applicability of the various physical methods employed, the breadth and depth of the book’s coverage makes it a critical reference for engineers and scientists who perform vehicular accident reconstructions.

Finite Element Modeling and Simulation with ANSYS Workbench

Finite Element Modeling and Simulation with ANSYS Workbench
Author: Xiaolin Chen,Yijun Liu
Publsiher: CRC Press
Total Pages: 411
Release: 2014-08-11
Genre: Science
ISBN: 9781439873847

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Learn Basic Theory and Software Usage from a Single Volume Finite Element Modeling and Simulation with ANSYS Workbench combines finite element theory with real-world practice. Providing an introduction to finite element modeling and analysis for those with no prior experience, and written by authors with a combined experience of 30 years teaching the subject, this text presents FEM formulations integrated with relevant hands-on applications using ANSYS Workbench for finite element analysis (FEA). Incorporating the basic theories of FEA and the use of ANSYS Workbench in the modeling and simulation of engineering problems, the book also establishes the FEM method as a powerful numerical tool in engineering design and analysis. Include FEA in Your Design and Analysis of Structures Using ANSYS Workbench The authors reveal the basic concepts in FEA using simple mechanics problems as examples, and provide a clear understanding of FEA principles, element behaviors, and solution procedures. They emphasize correct usage of FEA software, and techniques in FEA modeling and simulation. The material in the book discusses one-dimensional bar and beam elements, two-dimensional plane stress and plane strain elements, plate and shell elements, and three-dimensional solid elements in the analyses of structural stresses, vibrations and dynamics, thermal responses, fluid flows, optimizations, and failures. Contained in 12 chapters, the text introduces ANSYS Workbench through detailed examples and hands-on case studies, and includes homework problems and projects using ANSYS Workbench software that are provided at the end of each chapter. Covers solid mechanics and thermal/fluid FEA Contains ANSYS Workbench geometry input files for examples and case studies Includes two chapters devoted to modeling and solution techniques, design optimization, fatigue, and buckling failure analysis Provides modeling tips in case studies to provide readers an immediate opportunity to apply the skills they learn in a problem-solving context Finite Element Modeling and Simulation with ANSYS Workbench benefits upper-level undergraduate students in all engineering disciplines, as well as researchers and practicing engineers who use the finite element method to analyze structures.

Finite Element Method

Finite Element Method
Author: Michael R. Gosz
Publsiher: CRC Press
Total Pages: 400
Release: 2017-03-27
Genre: Technology & Engineering
ISBN: 9781351992039

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The finite element method (FEM) is the dominant tool for numerical analysis in engineering, yet many engineers apply it without fully understanding all the principles. Learning the method can be challenging, but Mike Gosz has condensed the basic mathematics, concepts, and applications into a simple and easy-to-understand reference. Finite Element Method: Applications in Solids, Structures, and Heat Transfer navigates through linear, linear dynamic, and nonlinear finite elements with an emphasis on building confidence and familiarity with the method, not just the procedures. This book demystifies the assumptions made, the boundary conditions chosen, and whether or not proper failure criteria are used. It reviews the basic math underlying FEM, including matrix algebra, the Taylor series expansion and divergence theorem, vectors, tensors, and mechanics of continuous media. The author discusses applications to problems in solid mechanics, the steady-state heat equation, continuum and structural finite elements, linear transient analysis, small-strain plasticity, and geometrically nonlinear problems. He illustrates the material with 10 case studies, which define the problem, consider appropriate solution strategies, and warn against common pitfalls. Additionally, 35 interactive virtual reality modeling language files are available for download from the CRC Web site. For anyone first studying FEM or for those who simply wish to deepen their understanding, Finite Element Method: Applications in Solids, Structures, and Heat Transfer is the perfect resource.

Nonlinear Mechanics Second Edition

Nonlinear Mechanics  Second Edition
Author: Demeter G. Fertis
Publsiher: CRC Press
Total Pages: 560
Release: 1998-12-21
Genre: Science
ISBN: 0849390028

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Complicated problems in nonlinear mechanics pose a challenge - many cannot be solved with existing closed-form methods. You would probably like easier methods for obtaining analytical and numerically exact solutions for finite elements, updated or total Lagrangian formulation, and arc-length methods of nonlinear elastic problem solving. Nonlinear Mechanics, Second Edition gives you what you want - convenient methods of analysis and valuable data for comparison. This is the only book to offer a comprehensive treatment of structural components with variable thickness and a variable modulus of elasticity. It is also the only one to cover closed-form solutions for the dynamic and inelastic analysis of members and plates that are subjected to small and large deformations by including axial and vertical restraints. The author uses exact and approximate solutions for static, dynamic, and inelastic analysis. It also discusses aspects of nonlinear vibration of elastically supported beams, nonlinear response of nonuniform rotor blades, and a new concept of airfoil design. With more than 30% updated and new material, this edition is revised and reorganized to meet the needs of both academia and industry. Easy-to-follow equation derivations, example problems, step-by-step procedures, and iterative approaches create a thorough reference that fills present needs and equips you for the challenges of the future.

Finite Element Analysis of Composite Materials

Finite Element Analysis of Composite Materials
Author: Ever J. Barbero
Publsiher: CRC Press
Total Pages: 360
Release: 2007-08-03
Genre: Technology & Engineering
ISBN: 9781420054347

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Designing structures using composite materials poses unique challenges due especially to the need for concurrent design of both material and structure. Students are faced with two options: textbooks that teach the theory of advanced mechanics of composites, but lack computational examples of advanced analysis; and books on finite element analysis that may or may not demonstrate very limited applications to composites. But now there is third option that makes the other two obsolete: Ever J. Barbero's Finite Element Analysis of Composite Materials. By layering detailed theoretical and conceptual discussions with fully developed examples, this text supplies the missing link between theory and implementation. In-depth discussions cover all of the major aspects of advanced analysis, including three-dimensional effects, viscoelasticity, edge effects, elastic instability, damage, and delamination. More than 50 complete examples using mainly ANSYSTM, but also including some use of MATLAB®, demonstrate how to use the concepts to formulate and execute finite element analyses and how to interpret the results in engineering terms. Additionally, the source code for each example is available for download online. Cementing applied computational and analytical experience to a firm foundation of basic concepts and theory, Finite Element Analysis of Composite Materials offers a modern, practical, and versatile classroom tool for today's engineering classroom.