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Plates : theories and applications / / K. Bhaskar, T. K. Varadan
| Plates : theories and applications / / K. Bhaskar, T. K. Varadan |
| Autore | Bhaskar K. |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XI, 282 p. 101 illus., 1 illus. in color.) |
| Disciplina | 624.1776 |
| Soggetto topico | Plates (Engineering) |
| ISBN | 3-030-69424-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Definition of a Thin Plate -- Classical Plate Theory -- A Critical Assessment of Classical Plate Theory -- Analysis of Rectangular Plates -- Analysis of Circular Plates -- Shear Deformation Theories -- Variable Thickness Plates -- Plate Buckling due to Non-Uniform Compression -- Non-Linear Flexure and Vibrations -- Post-Buckling Behaviour -- Index. . |
| Record Nr. | UNINA-9910484750703321 |
Bhaskar K.
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Plates : theories and applications / / K. Bhaskar, T. K. Varadan
| Plates : theories and applications / / K. Bhaskar, T. K. Varadan |
| Autore | Bhaskar K. |
| Pubbl/distr/stampa | New Delhi, India ; ; Chichester, England : , : Wiley : , : Ane Books Pvt. Ltd., , 2014 |
| Descrizione fisica | 1 online resource (357 p.) |
| Disciplina | 620.2 |
| Collana | Ane/Athena Books |
| Soggetto topico |
Acoustical engineering
Geology, Stratigraphic Plate tectonics |
| ISBN |
1-118-89389-1
1-118-89470-7 1-118-89480-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright ; Preface ; Contents; Part A Classical Theory and Straightforward Applications; 1 Definition of a Thin Plate; 1.1 The Elasticity Approach; 1.2 A Test Problem; 1.3 The Case of a Thin Plate; 2 Classical Plate Theory; 2.1 Assumptions of Classical Plate Theory; 2.2 Moment-Curvature Relations; 2.3 Equilibrium Equations; 2.4 Governing Biharmonic Equation; 2.5 Boundary Conditions; 2.6 Solution of a Problem; 2.7 Inclusion of an Elastic Foundation/Thermal Effects; 2.7.1 Elastic Foundation; 2.7.2 Thermal Effects; 2.8 Strain Energy of the Plate
3 A Critical Assessment of Classical Plate Theory3.1 CPT Solution for the Test Problem of Section 1.2; 3.2 Comparison with the Elasticity Solution; 3.3 Why the Plane-Stress Constitutive Law?; 4 Analysis of Rectangular Plates; 4.1 Recapitulation of Fourier Series; 4.2 Navier's Method; 4.3 Levy's Method; 4.4 Closed-form Solution for a Plate with Corner Supports; 5 Analysis of Circular Plates; 5.1 Equations of the Theory of Elasticity; 5.2 Equations of CPT; 5.3 Solution of Axisymmetric Problems; 6 Free and Forced Vibrations; 6.1 Equations of Motion; 6.2 Free Vibration Analysis 6.3 Forced Vibration Analysis7 Effect of In-plane Forces on Static Flexure, Dynamics and Stability; 7.1 Governing Equations for Combined Bending and Stretching; 7.2 Analysis for Stability; 7.3 Static Flexure; 7.4 Free Vibrations; 8 Approximate Solutions; 8.1 Analytical and Numerical Methods; 8.2 Rayleigh-Ritz Method; 8.2.1 Static Flexure; 8.2.2 Buckling; 8.2.3 Free Vibration Analysis; 8.3 Galerkin's Method; Appendix - Solutions for Problems; Part B Complicating Effects and Corresponding Theories; 9 Anisotropic, Laminated and Functionally-Graded Plates 9.1 CPT for Homogeneous Anisotropic Plates9.1.1 The Anisotropic Constitutive Law; 9.1.2 Plate Equations; 9.2 Classical Laminated Plate Theory; 9.3 CPT for Functionally-Graded Plates; 10 Elasticity Solutions for Plates; 10.1 Cylindrical Bending of a Cantilevered Plate Strip Under Tip Shear; 10.1.1 Homogeneous Strip; 10.1.2 A Laminated Strip; 10.2 Flexure of Simply Supported Rectangular Plates/Laminates Due to Transverse Loading; 10.3 Vibrations and Stability of Simply Supported Rectangular Plates and Laminates; 10.4 Solutions for Rectangular Plates with Other Edge Conditions 10.5 Corner Reactions in Simply Supported Plates - Insight Obtained from Elasticity Solutions10.6 Plates under Thermal Loads; 11 Shear Deformation Theories; 11.1 First-order Shear Deformation Theory; 11.2 Higher-order Theories; 12 Variable Thickness Plates; 12.1 Stepped versus Smooth Thickness Variation; 12.2 Rectangular Plates; 12.3 Circular Plates; 13 Plate Buckling due to Non-Uniform Compression; 13.1 The In-plane Problem; 13.2 Determination of the Critical Load; 13.3 Some Other Approaches; 14 Non-Linear Flexure and Vibrations; 14.1 Cylindrical Bending of a Simply Supported Plate Strip 14.1.1 Case (a): Immovable Edges |
| Record Nr. | UNINA-9910786658003321 |
|
Bhaskar K.
|
||
| New Delhi, India ; ; Chichester, England : , : Wiley : , : Ane Books Pvt. Ltd., , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Plates : theories and applications / / K. Bhaskar, T. K. Varadan
| Plates : theories and applications / / K. Bhaskar, T. K. Varadan |
| Autore | Bhaskar K. |
| Pubbl/distr/stampa | New Delhi, India ; ; Chichester, England : , : Wiley : , : Ane Books Pvt. Ltd., , 2014 |
| Descrizione fisica | 1 online resource (357 p.) |
| Disciplina | 620.2 |
| Collana | Ane/Athena Books |
| Soggetto topico |
Acoustical engineering
Geology, Stratigraphic Plate tectonics |
| ISBN |
1-118-89389-1
1-118-89470-7 1-118-89480-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright ; Preface ; Contents; Part A Classical Theory and Straightforward Applications; 1 Definition of a Thin Plate; 1.1 The Elasticity Approach; 1.2 A Test Problem; 1.3 The Case of a Thin Plate; 2 Classical Plate Theory; 2.1 Assumptions of Classical Plate Theory; 2.2 Moment-Curvature Relations; 2.3 Equilibrium Equations; 2.4 Governing Biharmonic Equation; 2.5 Boundary Conditions; 2.6 Solution of a Problem; 2.7 Inclusion of an Elastic Foundation/Thermal Effects; 2.7.1 Elastic Foundation; 2.7.2 Thermal Effects; 2.8 Strain Energy of the Plate
3 A Critical Assessment of Classical Plate Theory3.1 CPT Solution for the Test Problem of Section 1.2; 3.2 Comparison with the Elasticity Solution; 3.3 Why the Plane-Stress Constitutive Law?; 4 Analysis of Rectangular Plates; 4.1 Recapitulation of Fourier Series; 4.2 Navier's Method; 4.3 Levy's Method; 4.4 Closed-form Solution for a Plate with Corner Supports; 5 Analysis of Circular Plates; 5.1 Equations of the Theory of Elasticity; 5.2 Equations of CPT; 5.3 Solution of Axisymmetric Problems; 6 Free and Forced Vibrations; 6.1 Equations of Motion; 6.2 Free Vibration Analysis 6.3 Forced Vibration Analysis7 Effect of In-plane Forces on Static Flexure, Dynamics and Stability; 7.1 Governing Equations for Combined Bending and Stretching; 7.2 Analysis for Stability; 7.3 Static Flexure; 7.4 Free Vibrations; 8 Approximate Solutions; 8.1 Analytical and Numerical Methods; 8.2 Rayleigh-Ritz Method; 8.2.1 Static Flexure; 8.2.2 Buckling; 8.2.3 Free Vibration Analysis; 8.3 Galerkin's Method; Appendix - Solutions for Problems; Part B Complicating Effects and Corresponding Theories; 9 Anisotropic, Laminated and Functionally-Graded Plates 9.1 CPT for Homogeneous Anisotropic Plates9.1.1 The Anisotropic Constitutive Law; 9.1.2 Plate Equations; 9.2 Classical Laminated Plate Theory; 9.3 CPT for Functionally-Graded Plates; 10 Elasticity Solutions for Plates; 10.1 Cylindrical Bending of a Cantilevered Plate Strip Under Tip Shear; 10.1.1 Homogeneous Strip; 10.1.2 A Laminated Strip; 10.2 Flexure of Simply Supported Rectangular Plates/Laminates Due to Transverse Loading; 10.3 Vibrations and Stability of Simply Supported Rectangular Plates and Laminates; 10.4 Solutions for Rectangular Plates with Other Edge Conditions 10.5 Corner Reactions in Simply Supported Plates - Insight Obtained from Elasticity Solutions10.6 Plates under Thermal Loads; 11 Shear Deformation Theories; 11.1 First-order Shear Deformation Theory; 11.2 Higher-order Theories; 12 Variable Thickness Plates; 12.1 Stepped versus Smooth Thickness Variation; 12.2 Rectangular Plates; 12.3 Circular Plates; 13 Plate Buckling due to Non-Uniform Compression; 13.1 The In-plane Problem; 13.2 Determination of the Critical Load; 13.3 Some Other Approaches; 14 Non-Linear Flexure and Vibrations; 14.1 Cylindrical Bending of a Simply Supported Plate Strip 14.1.1 Case (a): Immovable Edges |
| Record Nr. | UNINA-9910811896703321 |
|
Bhaskar K.
|
||
| New Delhi, India ; ; Chichester, England : , : Wiley : , : Ane Books Pvt. Ltd., , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Strength of materials : a concise textbook / / K. Bhaskar and T. K. Varadan
| Strength of materials : a concise textbook / / K. Bhaskar and T. K. Varadan |
| Autore | Bhaskar K. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Ane Books Pvt. Ltd. : , : Springer, , [2023] |
| Descrizione fisica | 1 online resource (168 pages) |
| Disciplina | 620.112 |
| Soggetto topico |
Strength of materials
Materials - Analysis Structural analysis (Engineering) |
| ISBN | 3-031-06377-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- About the Authors -- 1 Preliminaries -- 1.1 State of Stress at a Point -- 1.2 Principle of Complementary Shear -- 1.3 The Assumption of Small Displacements and Rotations -- 1.4 State of Strain at a Point -- 1.5 Strain-Displacement Relations -- 1.6 Linear Constitutive Law -- 1.7 Plane Stress and Plane Strain -- 1.8 Two-Dimensional Stress Transformation -- 1.9 Principal Planes and Principal Stresses -- 1.10 Maximum In-Plane Shear Stress -- 1.11 Strain Transformation and Principal Strains -- 1.12 Mohr's Circle -- 1.13 Notable Points About 2-D Transformation -- 1.14 Failure Criterion for Brittle Materials -- 1.15 Yield Criteria for Ductile Materials -- 1.16 Statically Determinate and Indeterminate Structures -- 1.17 St. Venant's Principle -- 2 Straight Bars -- 2.1 Straight Bar -- 2.2 Assumptions -- 2.3 Final Formulae -- 2.4 Range of Applicability -- 2.5 Illustrative Problems -- 3 Thin-Walled Pressure Vessels -- 3.1 Thin-Walled Vessels -- 3.2 Assumptions -- 3.3 Final Formulae -- 3.4 Range of Applicability -- 3.5 Illustrative Problems -- 4 Circular Shafts -- 4.1 Circular Shaft -- 4.2 Assumptions -- 4.3 Final Formulae -- 4.4 Range of Applicability -- 4.5 Illustrative Problems -- 5 Beams-Shear Force and Bending Moment -- 5.1 Beam Undergoing Simple Bending -- 5.2 Shear Force and Bending Moment -- 5.3 Relations Between Loading, Shear Force, and Bending Moment -- 5.4 Shear Force and Bending Moment Diagrams (SFD, BMD) -- 5.5 Bending Moment Diagram by Parts -- 6 Beams-Stresses -- 6.1 Engineering Beam Theory-Assumptions -- 6.2 Final Formulae -- 6.3 Range of Applicability -- 6.4 Illustrative Problems -- 7 Beams-Deflections -- 7.1 Engineering Beam Theory-Kinematics of Deformation -- 7.2 Deflection Analysis -- 7.3 Final Formulae -- 7.4 Specification of Boundary Conditions -- 7.5 Range of Applicability -- 7.6 Illustrative Problems.
7.6.1 Double Integration Method -- 7.6.2 Moment-Area Method -- 7.6.3 Superposition Method -- 7.6.4 Statically Indeterminate Beams -- 8 Combined Loading, Stress Transformation, Failure Criteria -- 8.1 Combined Loading -- 8.2 Stress and Strain Transformation -- 8.2.1 Use of Transformation Rules -- 8.2.2 Mohr's Circle -- 8.3 Use of Failure Criteria -- 9 Long Columns -- 9.1 Column -- 9.2 Perfect and Imperfect Columns -- 9.3 Assumptions -- 9.4 Final Formulae -- 9.5 Illustrative Problems -- 10 Energy Methods -- 10.1 Assumptions -- 10.2 Final Formulae -- 10.3 Illustrative Problems -- Index. |
| Record Nr. | UNINA-9910627265803321 |
|
Bhaskar K.
|
||
| Cham, Switzerland : , : Ane Books Pvt. Ltd. : , : Springer, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Theory of isotropic/orthotropic elasticity / / K. Bhaskar and T. K. Varadan
| Theory of isotropic/orthotropic elasticity / / K. Bhaskar and T. K. Varadan |
| Autore | Bhaskar K. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (203 pages) |
| Disciplina | 620.11232 |
| Soggetto topico | Elasticity |
| ISBN | 3-031-06345-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910627267903321 |
|
Bhaskar K.
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||