Analytical Estimates for Structural Behavior

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Opis: Analytical Estimates for Structural Behavior - Harry E. Williams, Clive L. Dym

Explicitly reintroducing the idea of modeling to the analysis of structures, Analytical Estimates of Structural Behavior presents an integrated approach to modeling and estimating the behavior of structures. With the increasing reliance on computer-based approaches in structural analysis, it is becoming even more important for structural engineers to recognize that they are dealing with models of structures, not with the actual structures. As tempting as it is to run innumerable simulations, closed-form estimates can be effectively used to guide and check numerical results, and to confirm physical insights and intuitions. Spend Less Time Generating Numbers, and More Time Understanding What They Mean This book encourages readers to think about structures and their models in a way that is rooted in classic elementary elasticity--depending less on advanced mathematical techniques and more on the dimensions and magnitudes of the underlying physics. The authors stretch the mold, emphasizing and more explicitly describing the modeling process. The focus is on learning which calculations to perform and how to validate and interpret the results--skills that will be increasingly useful for professional engineers. Chapters cover: Key principles and techniques of mathematical modeling, including dimensional analysis, scaling, linearity, and balance and conservation laws Basic structural models How to develop and express physical intuition How to track the behavior of arches under lateral load Two methods of analyzing coupled discrete systems--Castigliano's theorems and Rayleigh's quotient--to lay a foundation for their application to continuous systems How to derive simple, accurate estimates of the transverse displacements of structures modeled in terms of coupled Timoshenko beams How to analyze the dimensional behavior and calculate numerical values of fundamental frequencies of structures modeled in terms of Euler-Bernoulli, Timoshenko, and coupled-beam systems Taking a unique approach, Analytical Estimates of Structural Behavior is suitable for advanced undergraduates, as well as graduate students and practitioners, who want to spend less time and effort generating numbers, and more time understanding what those numbers mean. I cannot agree more with the driving vision of the authors. Teaching of structural analysis is getting further and further away from what is needed for understanding design. Dym and Williams have the right idea. Very few structural engineers think about the relationship of the model to the structure. As I have complained often in question form 'Is the exact analysis of an approximate model good enough to serve as an approximate analysis of the exact model?' I sense that Dym and Williams are on the same page. --Mete A. Sozen, Kettelhut Distinguished Professor of Structural Engineering, Purdue University The authors, in their book Analytical Estimates of Structural Behavior, have done an excellent job of demonstrating the value of the classical approach in a modern digital world. --Bungale S. Taranath, Corporate Consultant, DeSimone Consulting EngineersMathematical Modeling for Structural Analysis Summary Principles of Mathematical Modeling Abstraction and Scale (I) Dimensional Consistency and Dimensional Analysis Abstraction and Scale (II) Notes on Approximating: Dimensions and Numbers The Assumption of Linear Behavior Conservation and Balance Principles Conclusions Bibliography Structural Models and Structural Modeling Summary Bars, Beams, Arches, Frames, and Shells One-Dimensional Structural Elements Two-Dimensional Structural Elements Modeling Structural Supports Indeterminacy, Redundancy, Load Paths, and Stability Modeling Structural Loading Modeling Structural Materials Idealization and Discretization in Structural Modeling Bibliography Exploring Intuition: Beams, Trusses, and Cylinders Summary Introduction Engineering Beams: The Two-Dimensional Model Reasoning Intuitively about Engineering Beams Trusses as Beams Pressurized Circular Cylinders: A Two-Dimensional Model Conclusions Bibliography Estimating Stresses and Displacements in Arches Summary Introduction Normal and Bending Stresses in Transversely Loaded Arches Arches under Centrally Applied, "Dead" Loading Shallow Arches under Centrally Directed, "Dead" Loading Arches under Gravitational Loading Interpreting Arch Behavior Shallow Curved Beams under End Loading Interpreting Curved Beam Behavior Conclusions Bibliography Estimating the Behavior of Coupled Discrete Systems Summary Introduction Extending the Castigliano Theorems to Discrete Systems Formally Proving the Castigliano Theorem Extensions Rayleigh Quotients for Discrete Systems Conclusions Bibliography Buildings Modeling as Coupled Beams: Static Response Estimates Summary Introduction Coupled Timoshenko Beams: Exact Solutions Coupled Timoshenko Beams: Castigliano Estimates (I) Validating Castigliano-Based Deflection Estimates Coupled Timoshenko Beams: Castigliano Estimates (II) Remarks on Modeling Buildings as Coupled-Beam Systems Conclusions Appendix A: Exact Solution for Coupled Timoshenko Beams Appendix B: The Coupled Euler--Shear System as a Limit Appendix C: Special Cases for Two Timoshenko Cantilevers Bibliography Buildings Modeled as Coupled Beams: Natural Frequency Estimates Summary Introduction Rayleigh Quotients for Elementary Beams Beams and Models of Buildings Frequency--Height Dependence in Coupled Two-Beam Models Frequency-Height Dependence in Timoshenko Beams Comparing Frequencies for Coupled Two-Beam Models Conclusions Bibliography Index


Szczegóły: Analytical Estimates for Structural Behavior - Harry E. Williams, Clive L. Dym

Tytuł: Analytical Estimates for Structural Behavior
Autor: Harry E. Williams, Clive L. Dym
Producent: Taylor
ISBN: 9781439870891
Rok produkcji: 2012
Ilość stron: 223
Oprawa: Twarda
Waga: 0.5 kg


Recenzje: Analytical Estimates for Structural Behavior - Harry E. Williams, Clive L. Dym

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Przypomnij hasło
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Analytical Estimates for Structural Behavior

,

  • Producent: Taylor
  • Oprawa: Twarda

Explicitly reintroducing the idea of modeling to the analysis of structures, Analytical Estimates of Structural Behavior presents an integrated approach to modeling and estimating the behavior of structures. With the increasing reliance on computer-based approaches in structural analysis, it is becoming even more important for structural engineers to recognize that they are dealing with models of structures, not with the actual structures. As tempting as it is to run innumerable simulations, closed-form estimates can be effectively used to guide and check numerical results, and to confirm physical insights and intuitions. Spend Less Time Generating Numbers, and More Time Understanding What They Mean This book encourages readers to think about structures and their models in a way that is rooted in classic elementary elasticity--depending less on advanced mathematical techniques and more on the dimensions and magnitudes of the underlying physics. The authors stretch the mold, emphasizing and more explicitly describing the modeling process. The focus is on learning which calculations to perform and how to validate and interpret the results--skills that will be increasingly useful for professional engineers. Chapters cover: Key principles and techniques of mathematical modeling, including dimensional analysis, scaling, linearity, and balance and conservation laws Basic structural models How to develop and express physical intuition How to track the behavior of arches under lateral load Two methods of analyzing coupled discrete systems--Castigliano's theorems and Rayleigh's quotient--to lay a foundation for their application to continuous systems How to derive simple, accurate estimates of the transverse displacements of structures modeled in terms of coupled Timoshenko beams How to analyze the dimensional behavior and calculate numerical values of fundamental frequencies of structures modeled in terms of Euler-Bernoulli, Timoshenko, and coupled-beam systems Taking a unique approach, Analytical Estimates of Structural Behavior is suitable for advanced undergraduates, as well as graduate students and practitioners, who want to spend less time and effort generating numbers, and more time understanding what those numbers mean. I cannot agree more with the driving vision of the authors. Teaching of structural analysis is getting further and further away from what is needed for understanding design. Dym and Williams have the right idea. Very few structural engineers think about the relationship of the model to the structure. As I have complained often in question form 'Is the exact analysis of an approximate model good enough to serve as an approximate analysis of the exact model?' I sense that Dym and Williams are on the same page. --Mete A. Sozen, Kettelhut Distinguished Professor of Structural Engineering, Purdue University The authors, in their book Analytical Estimates of Structural Behavior, have done an excellent job of demonstrating the value of the classical approach in a modern digital world. --Bungale S. Taranath, Corporate Consultant, DeSimone Consulting EngineersMathematical Modeling for Structural Analysis Summary Principles of Mathematical Modeling Abstraction and Scale (I) Dimensional Consistency and Dimensional Analysis Abstraction and Scale (II) Notes on Approximating: Dimensions and Numbers The Assumption of Linear Behavior Conservation and Balance Principles Conclusions Bibliography Structural Models and Structural Modeling Summary Bars, Beams, Arches, Frames, and Shells One-Dimensional Structural Elements Two-Dimensional Structural Elements Modeling Structural Supports Indeterminacy, Redundancy, Load Paths, and Stability Modeling Structural Loading Modeling Structural Materials Idealization and Discretization in Structural Modeling Bibliography Exploring Intuition: Beams, Trusses, and Cylinders Summary Introduction Engineering Beams: The Two-Dimensional Model Reasoning Intuitively about Engineering Beams Trusses as Beams Pressurized Circular Cylinders: A Two-Dimensional Model Conclusions Bibliography Estimating Stresses and Displacements in Arches Summary Introduction Normal and Bending Stresses in Transversely Loaded Arches Arches under Centrally Applied, "Dead" Loading Shallow Arches under Centrally Directed, "Dead" Loading Arches under Gravitational Loading Interpreting Arch Behavior Shallow Curved Beams under End Loading Interpreting Curved Beam Behavior Conclusions Bibliography Estimating the Behavior of Coupled Discrete Systems Summary Introduction Extending the Castigliano Theorems to Discrete Systems Formally Proving the Castigliano Theorem Extensions Rayleigh Quotients for Discrete Systems Conclusions Bibliography Buildings Modeling as Coupled Beams: Static Response Estimates Summary Introduction Coupled Timoshenko Beams: Exact Solutions Coupled Timoshenko Beams: Castigliano Estimates (I) Validating Castigliano-Based Deflection Estimates Coupled Timoshenko Beams: Castigliano Estimates (II) Remarks on Modeling Buildings as Coupled-Beam Systems Conclusions Appendix A: Exact Solution for Coupled Timoshenko Beams Appendix B: The Coupled Euler--Shear System as a Limit Appendix C: Special Cases for Two Timoshenko Cantilevers Bibliography Buildings Modeled as Coupled Beams: Natural Frequency Estimates Summary Introduction Rayleigh Quotients for Elementary Beams Beams and Models of Buildings Frequency--Height Dependence in Coupled Two-Beam Models Frequency-Height Dependence in Timoshenko Beams Comparing Frequencies for Coupled Two-Beam Models Conclusions Bibliography Index

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Cena 414,75 PLN
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Wysyłka: Niedostępna
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Szczegóły: Analytical Estimates for Structural Behavior - Harry E. Williams, Clive L. Dym

Tytuł: Analytical Estimates for Structural Behavior
Autor: Harry E. Williams, Clive L. Dym
Producent: Taylor
ISBN: 9781439870891
Rok produkcji: 2012
Ilość stron: 223
Oprawa: Twarda
Waga: 0.5 kg


Recenzje: Analytical Estimates for Structural Behavior - Harry E. Williams, Clive L. Dym

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