Shear deformable beams and plates : relationships with classical solutions

Shear deformable beams and plates : relationships with classical solutions / C.M. Wang, J.N. Reddy, K.H. Lee.

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 thicknes...

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Bibliographic Details
Main Author: Wang, C. M.
Other Authors: Reddy, J. N. (Junuthula Narasimha), 1945-, Lee, K. H.
Format: eBook
Language:English
Published: Amsterdam ; New York : Elsevier, 2000.
Subjects:
Plates (Engineering) > Mathematical models.
Girders > Mathematical models.
Shear (Mechanics)
Deformations (Mechanics)
Mathematical analysis.
shear stress.
deformation.
TECHNOLOGY & ENGINEERING > Structural.
Girders > Mathematical models
Mathematical analysis
Plates (Engineering) > Mathematical models
Online Access:Click for online access
Table of Contents:
  • 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.

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