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Analysis and design of elastic beams : computational methods / / Walter D. Pilkey
| Analysis and design of elastic beams : computational methods / / Walter D. Pilkey |
| Autore | Pilkey Walter D |
| Pubbl/distr/stampa | New York, : Wiley, c2002 |
| Descrizione fisica | 1 online resource (479 p.) |
| Disciplina | 624.1/7723 |
| Soggetto topico |
Girders
Thin-walled structures |
| ISBN |
9786610362929
9781280362927 1280362928 9780470355725 0470355727 9780470172667 0470172665 9780471423218 0471423211 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
ANALYSIS AND DESIGN OF ELASTIC BEAMS; CONTENTS; PREFACE; 1 BEAMS IN BENDING; 1.1 Review of Linear Elasticity; 1.1.1 Kinematical Strain-Displacement Equations; 1.1.2 Material Law; 1.1.3 Equations of Equilibrium; 1.1.4 Surface Forces and Boundary Conditions; 1.1.5 Other Forms of the Governing Differential Equations; 1.2 Bending Stresses in a Beam in Pure Bending; 1.3 Principal Bending Axes; 1.4 Axial Loads; 1.5 Elasticity Solution for Pure Bending; References; 2 BEAM ELEMENTS; 2.1 Fundamental Engineering Theory Equations for a Straight Beam; 2.1.1 Geometry of Deformation
2.1.2 Force-Deformation Relations2.1.3 Equations of Equilibrium; 2.1.4 Boundary Conditions; 2.1.5 Displacement Form of the Governing Differential Equations; 2.1.6 Mixed Form of the Governing Differential Equations; 2.1.7 Principle of Virtual Work: Integral Form of the Governing Equations; 2.2 Response of Beam Elements; 2.2.1 First-Order Form of the Governing Equations; 2.2.2 Sign Conventions for Beams; 2.2.3 Definition of Stiffness Matrices; 2.2.4 Determination of Stiffness Matrices; 2.2.5 Development of an Element by Mapping from a Reference Element; 2.3 Mass Matrices for Dynamic Problems 2.3.1 Consistent Mass Matrices2.3.2 Lumped Mass Matrices; 2.3.3 Exact Mass and Dynamic Stiffness Matrices; 2.4 Geometric Stiffness Matrices for Beams with Axial Loading; 2.5 Thermoelastic Analysis; References; 3 BEAM SYSTEMS; 3.1 Structural Systems; 3.1.1 Coordinate System and Degrees of Freedom; 3.1.2 Transformation of Forces and Displacements; 3.2 Displacement Method of Analysis; 3.2.1 Direct Stiffness Method; 3.2.2 Characteristics of the Displacement Method; 3.3 Transfer Matrix Method of Analysis; 3.4 Dynamic Responses; 3.4.1 Free Vibration Analysis; 3.4.2 Forced Response 3.5 Stability Analysis3.6 Analyses Using Exact Stiffness Matrices; References; 4 FINITE ELEMENTS FOR CROSS-SECTIONAL ANALYSIS; 4.1 Shape Functions; 4.2 Transformation of Derivatives and Integrals; 4.3 Integrals; 4.4 Cross-Sectional Properties; 4.5 Modulus-Weighted Properties; References; 5 SAINT-VENANT TORSION; 5.1 Fundamentals of Saint-Venant Torsion; 5.1.1 Force Formulation; 5.1.2 Membrane Analogy; 5.2 Classical Formulas for Thin-Walled Cross Sections; 5.2.1 Open Sections; 5.2.2 Closed Sections, Hollow Shafts; 5.3 Composite Cross Sections; 5.4 Stiffness Matrices 5.4.1 Principle of Virtual Work5.4.2 Weighted Residual Methods; 5.4.3 Isoparametric Elements; 5.5 Assembly of System Matrices; 5.6 Calculation of the Torsional Constant and Stresses; 5.7 Alternative Computational Methods; 5.7.1 Boundary Integral Equations; 5.7.2 Boundary Element Method; 5.7.3 Direct Integration of the Integral Equations; References; 6 BEAMS UNDER TRANSVERSE SHEAR LOADS; 6.1 Transverse Shear Stresses in a Prismatic Beam; 6.1.1 Approximate Shear Stress Formulas Based on Engineering Beam Theory; 6.1.2 Theory of Elasticity Solution; 6.1.3 Composite Cross Section 6.1.4 Finite Element Solution Formulation |
| Record Nr. | UNINA-9911019679103321 |
Pilkey Walter D
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| New York, : Wiley, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Beam structures [[electronic resource] ] : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo
| Beam structures [[electronic resource] ] : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo |
| Autore | Carrera Erasmo |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2011 |
| Descrizione fisica | 1 online resource (204 p.) |
| Disciplina | 624.1/7723 |
| Altri autori (Persone) |
GiuntaGaetano
PetroloMarco |
| Soggetto topico | Girders |
| ISBN |
1-283-20455-X
9786613204554 1-119-95104-6 1-119-97856-4 1-119-97857-2 |
| Classificazione | SCI041000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Beam Structures; Contents; About the Authors; Preface; Introduction; References; 1 Fundamental equations of continuous deformable bodies; 1.1 Displacement, strain, and stresses; 1.2 Equilibrium equations in terms of stress components and boundary conditions; 1.3 Strain displacement relations; 1.4 Constitutive relations: Hooke's law; 1.5 Displacement approach via principle of virtual displacements; References; 2 The Euler-Bernoulli and Timoshenko theories; 2.1 The Euler-Bernoulli model; 2.1.1 Displacement field; 2.1.2 Strains; 2.1.3 Stresses and stress resultants; 2.1.4 Elastica
2.2 The Timoshenko model 2.2.1 Displacement field; 2.2.2 Strains; 2.2.3 Stresses and stress resultants; 2.2.4 Elastica; 2.3 Bending of a cantilever beam: EBBT and TBT solutions; 2.3.1 EBBT solution; 2.3.2 TBT solution; References; 3 A refined beam theory with in-plane stretching: the complete linear expansion case; 3.1 The CLEC displacement field; 3.2 The importance of linear stretching terms; 3.3 A finite element based on CLEC; Further reading; 4 EBBT, TBT, and CLEC in unified form; 4.1 Unified formulation of CLEC; 4.2 EBBT and TBT as particular cases of CLEC 4.3 Poisson locking and its correction 4.3.1 Kinematic considerations of strains; 4.3.2 Physical considerations of strains; 4.3.3 First remedy: use of higher-order kinematics; 4.3.4 Second remedy: modification of elastic coefficients; References; 5 Carrera Unified Formulation and refined beam theories; 5.1 Unified formulation; 5.2 Governing equations; 5.2.1 Strong form of the governing equations; 5.2.2 Weak form of the governing equations; References; Further reading; 6 The parabolic, cubic, quartic, and N-order beam theories; 6.1 The second-order beam model, N =2 6.2 The third-order, N = 3, and the fourth-order, N = 4, beam models 6.3 N-order beam models; Further reading; 7 CUF beam FE models: programming and implementation issue guidelines; 7.1 Preprocessing and input descriptions; 7.1.1 General FE inputs; 7.1.2 Specific CUF inputs; 7.2 FEM code; 7.2.1 Stiffness and mass matrix; 7.2.2 Stiffness and mass matrix numerical examples; 7.2.3 Constraints and reduced models; 7.2.4 Load vector; 7.3 Postprocessing; 7.3.1 Stresses and strains; References; 8 Shell capabilities of refined beam theories; 8.1 C-shaped cross-section and bending-torsional loading 8.2 Thin-walled hollow cylinder 8.2.1 Static analysis: detection of local effects due to a point load; 8.2.2 Free-vibration analysis: detection of shell-like natural modes; 8.3 Static and free-vibration analyses of an airfoil-shaped beam; 8.4 Free vibrations of a bridge-like beam; References; 9 Linearized elastic stability; 9.1 Critical buckling load classic solution; 9.2 Higher-order CUF models; 9.2.1 Governing equations, fundamental nucleus; 9.2.2 Closed form analytical solution; 9.3 Examples; References; 10 Beams made of functionally graded materials; 10.1 Functionally graded materials 10.2 Material gradation laws |
| Record Nr. | UNINA-9910139612203321 |
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Carrera Erasmo
|
||
| Hoboken, N.J., : Wiley, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beam structures : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo
| Beam structures : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo |
| Autore | Carrera Erasmo |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2011 |
| Descrizione fisica | 1 online resource (204 p.) |
| Disciplina | 624.1/7723 |
| Altri autori (Persone) |
GiuntaGaetano
PetroloMarco |
| Soggetto topico | Girders |
| ISBN |
9786613204554
9781283204552 128320455X 9781119951049 1119951046 9781119978565 1119978564 9781119978572 1119978572 |
| Classificazione | SCI041000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Beam Structures; Contents; About the Authors; Preface; Introduction; References; 1 Fundamental equations of continuous deformable bodies; 1.1 Displacement, strain, and stresses; 1.2 Equilibrium equations in terms of stress components and boundary conditions; 1.3 Strain displacement relations; 1.4 Constitutive relations: Hooke's law; 1.5 Displacement approach via principle of virtual displacements; References; 2 The Euler-Bernoulli and Timoshenko theories; 2.1 The Euler-Bernoulli model; 2.1.1 Displacement field; 2.1.2 Strains; 2.1.3 Stresses and stress resultants; 2.1.4 Elastica
2.2 The Timoshenko model 2.2.1 Displacement field; 2.2.2 Strains; 2.2.3 Stresses and stress resultants; 2.2.4 Elastica; 2.3 Bending of a cantilever beam: EBBT and TBT solutions; 2.3.1 EBBT solution; 2.3.2 TBT solution; References; 3 A refined beam theory with in-plane stretching: the complete linear expansion case; 3.1 The CLEC displacement field; 3.2 The importance of linear stretching terms; 3.3 A finite element based on CLEC; Further reading; 4 EBBT, TBT, and CLEC in unified form; 4.1 Unified formulation of CLEC; 4.2 EBBT and TBT as particular cases of CLEC 4.3 Poisson locking and its correction 4.3.1 Kinematic considerations of strains; 4.3.2 Physical considerations of strains; 4.3.3 First remedy: use of higher-order kinematics; 4.3.4 Second remedy: modification of elastic coefficients; References; 5 Carrera Unified Formulation and refined beam theories; 5.1 Unified formulation; 5.2 Governing equations; 5.2.1 Strong form of the governing equations; 5.2.2 Weak form of the governing equations; References; Further reading; 6 The parabolic, cubic, quartic, and N-order beam theories; 6.1 The second-order beam model, N =2 6.2 The third-order, N = 3, and the fourth-order, N = 4, beam models 6.3 N-order beam models; Further reading; 7 CUF beam FE models: programming and implementation issue guidelines; 7.1 Preprocessing and input descriptions; 7.1.1 General FE inputs; 7.1.2 Specific CUF inputs; 7.2 FEM code; 7.2.1 Stiffness and mass matrix; 7.2.2 Stiffness and mass matrix numerical examples; 7.2.3 Constraints and reduced models; 7.2.4 Load vector; 7.3 Postprocessing; 7.3.1 Stresses and strains; References; 8 Shell capabilities of refined beam theories; 8.1 C-shaped cross-section and bending-torsional loading 8.2 Thin-walled hollow cylinder 8.2.1 Static analysis: detection of local effects due to a point load; 8.2.2 Free-vibration analysis: detection of shell-like natural modes; 8.3 Static and free-vibration analyses of an airfoil-shaped beam; 8.4 Free vibrations of a bridge-like beam; References; 9 Linearized elastic stability; 9.1 Critical buckling load classic solution; 9.2 Higher-order CUF models; 9.2.1 Governing equations, fundamental nucleus; 9.2.2 Closed form analytical solution; 9.3 Examples; References; 10 Beams made of functionally graded materials; 10.1 Functionally graded materials 10.2 Material gradation laws |
| Record Nr. | UNINA-9910814878703321 |
|
Carrera Erasmo
|
||
| Hoboken, N.J., : Wiley, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elastic beam calculations handbook / / Jih-Jiang Chyu
| Elastic beam calculations handbook / / Jih-Jiang Chyu |
| Autore | Chyu Jih-Jiang |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Fort Lauderdale, FL : , : J. Ross Publishing, , [2009] |
| Descrizione fisica | 1 online resource (335 p.) |
| Disciplina | 624.1/7723 |
| Soggetto topico |
Elastic analysis (Engineering)
Girders - Mathematical models Engineering mathematics |
| ISBN |
1-62870-889-1
1-60427-672-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic theory -- Simple beams : an introduction to the general approach -- Continuous beams -- Beams on elastic foundations -- Cantilevers -- Examples of beam formulae : explorations and commentary. |
| Record Nr. | UNINA-9911006828203321 |
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Chyu Jih-Jiang
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| Fort Lauderdale, FL : , : J. Ross Publishing, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Practical approximate analysis of beams and frames [[electronic resource] /] / Nabil Fares
| Practical approximate analysis of beams and frames [[electronic resource] /] / Nabil Fares |
| Autore | Fares Nabil |
| Pubbl/distr/stampa | Reston, : American Society of Civil Engineers, 2012 |
| Descrizione fisica | 1 online resource (391 p.) |
| Disciplina | 624.1/7723 |
| Collana | Lecture notes in mechanics |
| Soggetto topico |
Girders
Flanges Structural frames |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-7844-7685-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover""; ""Contents""; ""Preface""; ""1 Approximate Analysis of Beams and Frames with no Sidesway""; ""1.1 Introduction to Sketching""; ""1.2 Passive Members in Continuous Beams and Frames""; ""1.3 Beam with a Moment Applied at One End and Resisting at the Other""; ""1.4 Example: Continuous Beam with Moment Applied at Only One Node""; ""1.5 Outline of Approximate Method for Analyzing Structures with No Sidesway""; ""1.6 Beam with a Uniform Load""; ""1.7 Example: Uniform Load""; ""1.8 Beam with a Point Force""; ""1.9 Example: Point Force""; ""1.10 Comments and Examples on Multiple Loads""
""1.11 Beam with Two or More Internal Hinges""""1.12 Beam with One Internal Hinge, a Moment Applied at One End and Resisting at the Other""; ""1.13 Beam with One Internal Hinge and a Uniform Load""; ""1.14 Beam with One Internal Hinge and a Point Force""; ""2 Approximate Analysis of Frames with Sidesway""; ""2.1 The Cantilever and the Single Floor Portal Frame""; ""2.2 Approximate Analysis of Single Floor Frames Subject to a Horizontal Load""; ""2.3 Sketching Single Floor Portal Frames""; ""2.4 The Column with Rotary Springs and Moments at Both Ends"" ""2.5 Approximate Analysis of Multiple Floor Frames Subject to Horizontal Loads""""2.6 A Note on the Lumped Mass Model for Buildings""; ""2.7 Sketching Multiple Floor Frames Subject to Horizontal Loads""; ""2.8 Notes on Sidesway Due to Vertical Loads or Applied Couples""; ""3 Estimating Displacements in Beams and Frames""; ""3.1 Maximum Vertical Displacements in Beams""; ""3.2 Estimating Moment of Inertia""; ""3.3 Relative Vertical Displacements versus Strain in Beams""; ""3.4 Side Displacements of Frames Subject to Side Loads"" ""3.5 Obtaining Rotary Stiffness Factors from Slope Measurements in Beams""""4 Approximate Influence Lines for Indeterminate Beams""; ""4.1 Introduction to Influence Lines""; ""4.2 Exact Influence Lines for Statically Determinate Beams""; ""4.3 Approximate Influence Lines for Statically Indeterminate Structures""; ""Appendixes""; ""A: Beams�End-Moments and Inflection Points""; ""A.1 Moment End-Loaded Beam""; ""A.2 Uniformly Distributed Load""; ""A.3 Point Force""; ""B: Column�Shear Stiffness, End-Moments and Inflection Points""; ""B.1 Cantilever""; ""B.2 Column for Single Story Building"" ""B.3 Column for MultiStory Building�First Floor""""B.4 Column for MultiStory Building�Top Floor (Top and Bottom Beams Similar)""; ""B.5 Column for MultiStory Building�General Case""; ""C: Beams�Deflections and Rotations""; ""C.1 Displacements at Any Location""; ""C.2 Rotations at Any Location""; ""C.3 Uniform Load�Mid Displacements""; ""C.4 Point Force�Centrally Loaded�Mid Displacements""; ""C.5 Point force�Loaded Anywhere�Mid Displacements""; ""C.6 Point Moment�Loaded Anywhere�Mid Displacements""; ""C.7 Cantilever�Various Special Cases�Displacements"" ""D: Useful Results for Influence Lines"" |
| Record Nr. | UNINA-9910462805803321 |
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Fares Nabil
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| Reston, : American Society of Civil Engineers, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||