Shear deformable beams and plates: relationships with classical solutions
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Amsterdam
Elsevier
2000
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Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | Includes bibliographical references (pages 279-291) and index Cover -- Contents -- Preface -- Chapter 1. Introduction -- 1.1 Preliminary Comments -- 1.2 An Overview of Plate Theories -- 1.3 Present Study -- Problems -- Part 1: Beams -- Chapter 2. Bending of Beams -- 2.1 Beam Theories -- 2.2 Relationships Between EBT and TBT -- 2.3 Relationships Between EBT and RBT -- 2.4 Examples -- 2.5 Summary -- Problems -- Chapter 3. Shear -- Flexural Stiffness Matrix -- 3.1 Introduction -- 3.2 Summary of Relationships -- 3.3 Stiffness Matrix -- 3.4 Frame Structure -- An Example -- 3.5 Concluding Remarks -- Problems -- Chapter 4. Buckling of Columns -- 4.1 Introduction -- 4.2 Relationship Between Euler-Bernoulli -- 4.3 Relationship Between Euler-Bernoulli and Reddy-Bickford Columns -- 4.4 Concluding Remarks -- Problems -- Chapter 5. Tapered Beams -- 5.1 Introduction -- 5.2 Stress Resultant- Displacement Relations -- 5.3 Equilibrium Equations -- 5.4 Deflection and Force Relationships -- 5.5 Symmetrically Laminated Beams -- 5.6 Concluding Remarks -- - Problems -- Part 2: Plates -- Chapter 6. Theories of Plate Bending -- 6.1 Overview of Plate Theories -- 6.2 Classical (Kirchhoff) Plate Theory (CPT) -- 6.3 First-Order Shear Deformation Plate Theory (FSDT) -- 6.4 Third-Order Shear Deformation Plate Theory (TSDT) -- Problems -- Chapter 7. Bending Relationships for Simply Supported Plates -- 7.1 Introduction -- 7.2 Relationships Between CPT and FSDT -- 7.3 Examples -- 7.4 Relationships Between CPT and TSDT -- 7.5 Closure -- Problems -- Chapter 8. Bending Relationships for Lévy Solutions -- 8.1 Introduction -- 8.2 Governing Equations -- 8.3 Bending Relationships -- 8.4 Numerical Results -- Problems -- Chapter 9. Bending Relationships for Circular and Annular Plates -- 9.1 Governing Equations -- 9.2 Relationships Between CPT and FSDT -- 9.3 Relationships Between CPT and TSDT -- 9.4 Closure -- Problems -- Chapter 10. Bending Relationships for Sectorial Plates -- 10.1 Introduction -- 10.2 Formulation -- 10.3 Exact Bending Relationships -- - 10.4 Examples -- 10.5 Conclusions -- Problems -- Chapter 11. Buckling Relationships -- 11.1 Polygonal Plates -- 11.2 Circular Plates -- 11.3 Sectorial Mindlin Plates -- Problems -- Chapter 12. Free Vibration Relationships -- 12.1 Introduction -- 12.2 Relationships Between CPT and FSDT -- 12.3 Relationships Between CPT and TSDT -- 12.4 Concluding Remarks -- Problems -- Chapter 13. Relationships for Inhomogeneous Plates -- 13.1 Deflection Relationships for Sandwich Plates -- 13.2 Deflection Relationships for Functionally Graded Circular Plates -- 13.3 Buckling Load Relationships for Sandwich Mindlin Plates -- 13.4 Free Vibration Relationships for Sandwich Plates -- 13.5 Summary -- References -- Subject Index -- Last Page Most books on the theory and analysis of beams and plates deal with the classical (Euler-Bernoulli/Kirchoff) theories but few include shear deformation theories in detail. The classical beam/plate theory is not adequate in providing accurate bending, buckling, and vibration results when the thickness-to-length ratio of the beam/plate is relatively large. This is because the effect of transverse shear strains, neglected in the classical theory, becomes significant in deep beams and thick plates. This book illustrates how shear deformation theories provide accurate solutions compared to the clas |
Beschreibung: | 1 Online-Ressource (xiv, 296 pages) |
ISBN: | 0080437842 0080541151 1281072206 9780080437842 9780080541150 9781281072207 |
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245 | 1 | 0 | |a Shear deformable beams and plates |b relationships with classical solutions |c C.M. Wang, J.N. Reddy, K.H. Lee |
264 | 1 | |a Amsterdam |b Elsevier |c 2000 | |
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500 | |a Includes bibliographical references (pages 279-291) and index | ||
500 | |a Cover -- Contents -- Preface -- Chapter 1. Introduction -- 1.1 Preliminary Comments -- 1.2 An Overview of Plate Theories -- 1.3 Present Study -- Problems -- Part 1: Beams -- Chapter 2. Bending of Beams -- 2.1 Beam Theories -- 2.2 Relationships Between EBT and TBT -- 2.3 Relationships Between EBT and RBT -- 2.4 Examples -- 2.5 Summary -- Problems -- Chapter 3. Shear -- Flexural Stiffness Matrix -- 3.1 Introduction -- 3.2 Summary of Relationships -- 3.3 Stiffness Matrix -- 3.4 Frame Structure -- An Example -- 3.5 Concluding Remarks -- Problems -- Chapter 4. Buckling of Columns -- 4.1 Introduction -- 4.2 Relationship Between Euler-Bernoulli -- 4.3 Relationship Between Euler-Bernoulli and Reddy-Bickford Columns -- 4.4 Concluding Remarks -- Problems -- Chapter 5. Tapered Beams -- 5.1 Introduction -- 5.2 Stress Resultant- Displacement Relations -- 5.3 Equilibrium Equations -- 5.4 Deflection and Force Relationships -- 5.5 Symmetrically Laminated Beams -- 5.6 Concluding Remarks -- | ||
500 | |a - Problems -- Part 2: Plates -- Chapter 6. Theories of Plate Bending -- 6.1 Overview of Plate Theories -- 6.2 Classical (Kirchhoff) Plate Theory (CPT) -- 6.3 First-Order Shear Deformation Plate Theory (FSDT) -- 6.4 Third-Order Shear Deformation Plate Theory (TSDT) -- Problems -- Chapter 7. Bending Relationships for Simply Supported Plates -- 7.1 Introduction -- 7.2 Relationships Between CPT and FSDT -- 7.3 Examples -- 7.4 Relationships Between CPT and TSDT -- 7.5 Closure -- Problems -- Chapter 8. Bending Relationships for Lévy Solutions -- 8.1 Introduction -- 8.2 Governing Equations -- 8.3 Bending Relationships -- 8.4 Numerical Results -- Problems -- Chapter 9. Bending Relationships for Circular and Annular Plates -- 9.1 Governing Equations -- 9.2 Relationships Between CPT and FSDT -- 9.3 Relationships Between CPT and TSDT -- 9.4 Closure -- Problems -- Chapter 10. Bending Relationships for Sectorial Plates -- 10.1 Introduction -- 10.2 Formulation -- 10.3 Exact Bending Relationships -- | ||
500 | |a - 10.4 Examples -- 10.5 Conclusions -- Problems -- Chapter 11. Buckling Relationships -- 11.1 Polygonal Plates -- 11.2 Circular Plates -- 11.3 Sectorial Mindlin Plates -- Problems -- Chapter 12. Free Vibration Relationships -- 12.1 Introduction -- 12.2 Relationships Between CPT and FSDT -- 12.3 Relationships Between CPT and TSDT -- 12.4 Concluding Remarks -- Problems -- Chapter 13. Relationships for Inhomogeneous Plates -- 13.1 Deflection Relationships for Sandwich Plates -- 13.2 Deflection Relationships for Functionally Graded Circular Plates -- 13.3 Buckling Load Relationships for Sandwich Mindlin Plates -- 13.4 Free Vibration Relationships for Sandwich Plates -- 13.5 Summary -- References -- Subject Index -- Last Page | ||
500 | |a Most books on the theory and analysis of beams and plates deal with the classical (Euler-Bernoulli/Kirchoff) theories but few include shear deformation theories in detail. The classical beam/plate theory is not adequate in providing accurate bending, buckling, and vibration results when the thickness-to-length ratio of the beam/plate is relatively large. This is because the effect of transverse shear strains, neglected in the classical theory, becomes significant in deep beams and thick plates. This book illustrates how shear deformation theories provide accurate solutions compared to the clas | ||
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650 | 7 | |a Deformations (Mechanics) |2 fast | |
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650 | 7 | |a Mathematical analysis |2 fast | |
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650 | 7 | |a Shear (Mechanics) |2 fast | |
650 | 4 | |a Mathematisches Modell | |
650 | 4 | |a Plates (Engineering) |x Mathematical models | |
650 | 4 | |a Girders |x Mathematical models | |
650 | 4 | |a Shear (Mechanics) | |
650 | 4 | |a Deformations (Mechanics) | |
650 | 4 | |a Mathematical analysis | |
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Datensatz im Suchindex
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any_adam_object | |
author | Wang, C. M. |
author_facet | Wang, C. M. |
author_role | aut |
author_sort | Wang, C. M. |
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building | Verbundindex |
bvnumber | BV043063269 |
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ctrlnum | (OCoLC)56117561 (DE-599)BVBBV043063269 |
dewey-full | 624.1/7765 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 624 - Civil engineering |
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dewey-search | 624.1/7765 |
dewey-sort | 3624.1 47765 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Bauingenieurwesen |
format | Electronic eBook |
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publisher | Elsevier |
record_format | marc |
spelling | Wang, C. M. Verfasser aut Shear deformable beams and plates relationships with classical solutions C.M. Wang, J.N. Reddy, K.H. Lee Amsterdam Elsevier 2000 1 Online-Ressource (xiv, 296 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 279-291) and index Cover -- Contents -- Preface -- Chapter 1. Introduction -- 1.1 Preliminary Comments -- 1.2 An Overview of Plate Theories -- 1.3 Present Study -- Problems -- Part 1: Beams -- Chapter 2. Bending of Beams -- 2.1 Beam Theories -- 2.2 Relationships Between EBT and TBT -- 2.3 Relationships Between EBT and RBT -- 2.4 Examples -- 2.5 Summary -- Problems -- Chapter 3. Shear -- Flexural Stiffness Matrix -- 3.1 Introduction -- 3.2 Summary of Relationships -- 3.3 Stiffness Matrix -- 3.4 Frame Structure -- An Example -- 3.5 Concluding Remarks -- Problems -- Chapter 4. Buckling of Columns -- 4.1 Introduction -- 4.2 Relationship Between Euler-Bernoulli -- 4.3 Relationship Between Euler-Bernoulli and Reddy-Bickford Columns -- 4.4 Concluding Remarks -- Problems -- Chapter 5. Tapered Beams -- 5.1 Introduction -- 5.2 Stress Resultant- Displacement Relations -- 5.3 Equilibrium Equations -- 5.4 Deflection and Force Relationships -- 5.5 Symmetrically Laminated Beams -- 5.6 Concluding Remarks -- - Problems -- Part 2: Plates -- Chapter 6. Theories of Plate Bending -- 6.1 Overview of Plate Theories -- 6.2 Classical (Kirchhoff) Plate Theory (CPT) -- 6.3 First-Order Shear Deformation Plate Theory (FSDT) -- 6.4 Third-Order Shear Deformation Plate Theory (TSDT) -- Problems -- Chapter 7. Bending Relationships for Simply Supported Plates -- 7.1 Introduction -- 7.2 Relationships Between CPT and FSDT -- 7.3 Examples -- 7.4 Relationships Between CPT and TSDT -- 7.5 Closure -- Problems -- Chapter 8. Bending Relationships for Lévy Solutions -- 8.1 Introduction -- 8.2 Governing Equations -- 8.3 Bending Relationships -- 8.4 Numerical Results -- Problems -- Chapter 9. Bending Relationships for Circular and Annular Plates -- 9.1 Governing Equations -- 9.2 Relationships Between CPT and FSDT -- 9.3 Relationships Between CPT and TSDT -- 9.4 Closure -- Problems -- Chapter 10. Bending Relationships for Sectorial Plates -- 10.1 Introduction -- 10.2 Formulation -- 10.3 Exact Bending Relationships -- - 10.4 Examples -- 10.5 Conclusions -- Problems -- Chapter 11. Buckling Relationships -- 11.1 Polygonal Plates -- 11.2 Circular Plates -- 11.3 Sectorial Mindlin Plates -- Problems -- Chapter 12. Free Vibration Relationships -- 12.1 Introduction -- 12.2 Relationships Between CPT and FSDT -- 12.3 Relationships Between CPT and TSDT -- 12.4 Concluding Remarks -- Problems -- Chapter 13. Relationships for Inhomogeneous Plates -- 13.1 Deflection Relationships for Sandwich Plates -- 13.2 Deflection Relationships for Functionally Graded Circular Plates -- 13.3 Buckling Load Relationships for Sandwich Mindlin Plates -- 13.4 Free Vibration Relationships for Sandwich Plates -- 13.5 Summary -- References -- Subject Index -- Last Page Most books on the theory and analysis of beams and plates deal with the classical (Euler-Bernoulli/Kirchoff) theories but few include shear deformation theories in detail. The classical beam/plate theory is not adequate in providing accurate bending, buckling, and vibration results when the thickness-to-length ratio of the beam/plate is relatively large. This is because the effect of transverse shear strains, neglected in the classical theory, becomes significant in deep beams and thick plates. This book illustrates how shear deformation theories provide accurate solutions compared to the clas TECHNOLOGY & ENGINEERING / Structural bisacsh Deformations (Mechanics) fast Girders / Mathematical models fast Mathematical analysis fast Plates (Engineering) / Mathematical models fast Shear (Mechanics) fast Mathematisches Modell Plates (Engineering) Mathematical models Girders Mathematical models Shear (Mechanics) Deformations (Mechanics) Mathematical analysis Platte (DE-588)4046304-7 gnd rswk-swf Backen (DE-588)4004135-9 gnd rswk-swf Scherfestigkeit (DE-588)4139713-7 gnd rswk-swf Platte (DE-588)4046304-7 s Scherfestigkeit (DE-588)4139713-7 s 1\p DE-604 Backen (DE-588)4004135-9 s 2\p DE-604 Reddy, J. N. Sonstige oth Lee, K. H. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210026 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Wang, C. M. Shear deformable beams and plates relationships with classical solutions TECHNOLOGY & ENGINEERING / Structural bisacsh Deformations (Mechanics) fast Girders / Mathematical models fast Mathematical analysis fast Plates (Engineering) / Mathematical models fast Shear (Mechanics) fast Mathematisches Modell Plates (Engineering) Mathematical models Girders Mathematical models Shear (Mechanics) Deformations (Mechanics) Mathematical analysis Platte (DE-588)4046304-7 gnd Backen (DE-588)4004135-9 gnd Scherfestigkeit (DE-588)4139713-7 gnd |
subject_GND | (DE-588)4046304-7 (DE-588)4004135-9 (DE-588)4139713-7 |
title | Shear deformable beams and plates relationships with classical solutions |
title_auth | Shear deformable beams and plates relationships with classical solutions |
title_exact_search | Shear deformable beams and plates relationships with classical solutions |
title_full | Shear deformable beams and plates relationships with classical solutions C.M. Wang, J.N. Reddy, K.H. Lee |
title_fullStr | Shear deformable beams and plates relationships with classical solutions C.M. Wang, J.N. Reddy, K.H. Lee |
title_full_unstemmed | Shear deformable beams and plates relationships with classical solutions C.M. Wang, J.N. Reddy, K.H. Lee |
title_short | Shear deformable beams and plates |
title_sort | shear deformable beams and plates relationships with classical solutions |
title_sub | relationships with classical solutions |
topic | TECHNOLOGY & ENGINEERING / Structural bisacsh Deformations (Mechanics) fast Girders / Mathematical models fast Mathematical analysis fast Plates (Engineering) / Mathematical models fast Shear (Mechanics) fast Mathematisches Modell Plates (Engineering) Mathematical models Girders Mathematical models Shear (Mechanics) Deformations (Mechanics) Mathematical analysis Platte (DE-588)4046304-7 gnd Backen (DE-588)4004135-9 gnd Scherfestigkeit (DE-588)4139713-7 gnd |
topic_facet | TECHNOLOGY & ENGINEERING / Structural Deformations (Mechanics) Girders / Mathematical models Mathematical analysis Plates (Engineering) / Mathematical models Shear (Mechanics) Mathematisches Modell Plates (Engineering) Mathematical models Girders Mathematical models Platte Backen Scherfestigkeit |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210026 |
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