LEADER 05409nam 22007334a 450 001 9910450508703321 005 20200520144314.0 010 $a1-281-07220-6 010 $a9786611072209 010 $a0-08-054115-1 035 $a(CKB)1000000000007256 035 $a(EBL)316940 035 $a(OCoLC)476108968 035 $a(SSID)ssj0000245350 035 $a(PQKBManifestationID)11217108 035 $a(PQKBTitleCode)TC0000245350 035 $a(PQKBWorkID)10175947 035 $a(PQKB)11452099 035 $a(MiAaPQ)EBC316940 035 $a(Au-PeEL)EBL316940 035 $a(CaPaEBR)ebr10041466 035 $a(CaONFJC)MIL107220 035 $a(OCoLC)56117561 035 $a(EXLCZ)991000000000007256 100 $a20000321d2000 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aShear deformable beams and plates$b[electronic resource] $erelationships with classical solutions /$fC.M. Wang, J.N. Reddy, K.H. Lee 210 $aAmsterdam ;$aNew York $cElsevier$d2000 215 $a1 online resource (311 p.) 300 $aDescription based upon print version of record. 311 $a0-08-043784-2 320 $aIncludes bibliographical references (p. [279]-291) and index. 327 $aFront Cover; Shear Deformable Beams and Plates: Relationships with Classical Solutions; Copyright Page; 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 327 $aChapter 4. Buckling of Columns4.1 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) 327 $a6.3 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 Le?vy 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 327 $a9.2 Relationships Between CPT and FSDT9.3 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 327 $aChapter 13. Relationships for Inhomogeneous Plates13.1 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 330 $aMost 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 606 $aPlates (Engineering)$xMathematical models 606 $aGirders$xMathematical models 606 $aShear (Mechanics) 606 $aDeformations (Mechanics) 606 $aMathematical analysis 608 $aElectronic books. 615 0$aPlates (Engineering)$xMathematical models. 615 0$aGirders$xMathematical models. 615 0$aShear (Mechanics) 615 0$aDeformations (Mechanics) 615 0$aMathematical analysis. 676 $a624.1/7765 700 $aWang$b C. M$0627380 701 $aReddy$b J. N$g(Junuthula Narasimha),$f1945-$0459949 701 $aLee$b K. H$01048964 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910450508703321 996 $aShear deformable beams and plates$92477612 997 $aUNINA