Stresses in Beams, Plates and Shells

ISBN-10: 143980270X

ISBN-13: 9781439802700

Edition: 3rd 2009 (Revised)

Authors: David M. Boyajian, Ansel C. Ugural

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Book details

List price: $159.95
Edition: 3rd
Copyright year: 2009
Publisher: CRC Press LLC
Publication date: 8/26/2009
Binding: Hardcover
Pages: 596
Size: 6.50" wide x 9.25" long x 1.20" tall
Weight: 2.046
Language: English

Preface
Acknowledgments
List of Symbols
*Fundamentals
Basic Concepts
Introduction
Methods of Analysis
Conditions of Equilibrium
Stress Defined
Components of Stress
Sign Convention
Internal-Force Resultants
Differential Equations of Equilibrium
Transformation of Stress
Mohr's Circle for Stress
Strain Defined
Components of Strain
Conditions of Compatibility
Large Strains
Transformation of Strain
Engineering Materials
Stress-Strain Diagrams
Hooke's Law, Poisson's Ratio
Rational Design Procedure
Factor of Safety
Problem Formulation and Solutions
Significant Digits
Computational Tools
References
Problems
Stresses in Simple Structural Members
Introduction
Types of Structures
Axially Loaded Members
Stress Concentration Factors
Torsion of Circular Bars
Shear Stress
Angle of Twist
Stresses in Beams
Normal Stress
Shear Stress
Shear Flow
Deflection of Beams by Integration
Beam Deflections by Superposition
Thin-Walled Pressure Vessels
Yield and Fracture Criteria
Maximum Principal Stress Theory
Coulomb-Mohr Theory
Maximum Shear Stress Theory
Maximum Distortion Energy Theory
A Typical Case of Combined Loadings
Strain Energy
CastigUano's Theorem
Statically Indeterminate Structures
References
Problems
Plates
Elements of Plate-Bending Theory
Introduction
Historical Development of Plate and Shell Theory
General Behavior of Plates
Strain-Curvature Relations
Mohrs Circle of Curjvature
Stresses and Stress Resultants
Equations for Transformation of Moment
Variation of Stress within a Plate
The Governing Equation for Deflection of Plates
Reduction of Plate-Bending Problem to That of Deflection of a Membrane
Boundary Conditions
Exact Theory of Plates
Methods for Solution of Plate Deflections
Strain Energy of Plates
Energy Methods in Theory of Plates
The Principle of Virtual Work
The Principle of Minimum Potential Energy
The Ritz Method
*Natural Frequencies of Plates by the Energy Method
References
Problems
Circular Plates
Introduction
Basic Relations in Polar Coordinates
The Axisymmetrical Bending
Equations of Equilibrium for AxisymmetricallyLoaded Circular Plates
Uniformly Loaded Circular Plates
*Effect of Shear on the Plate Deflection
Local Stresses at the Point of Application of a Concentrated Load
Circular Plates under a Concentrated Load at the Center
A Short Catalog of Solutions
Annular Plates with Simply Supported Outer Edges
Deflection and Stress by Superposition
Design Tables for Annular Plates
The Ritz Method Applied to Bending of Circular Plates
Asymmetrical Bending of Circular Plates
*Deflection by the Reciprocity Theorem
References
Problems
Rectangular Plates
Introduction
Navier's Solution for Simply Supported Rectangular Plates
Simply Supported Rectangular Plates under Various Loadings
L�vy's Solution for Rectangular Plates
Simply Supported Rectangular Plate underUniform Loading
L�vy's Method Applied to Rectangular Plates under Nonuniform Loading
Rectangular Plates under ^Distributed Edge Moments
Method of Superposition Applied to Bending ofRectangular Plates
*The Strip Method
*Simply Supported Continuous Rectangular Plates
*Rectangular Plates Supported by Intermediate Columns
Rectangular Plates on Elastric Foundation
Simply Supported Plates
Plates with Arbitrary Boundary Conditions
The Ritz Method Applied to Bending of Rectangular Plates
References
Problems
Plates of Various Geometrical Fprms
Introduction
*Method of Images
Equilateral Triangular Plate with Simply Supported Edges
Equilateral Triangtllar Plate under Uniform Moment M<sub>0</sub> along its Boundary
Equilateral Triangular Plate under Uniform Load p<sub>0</sub>
Elliptical Plates
Uniformly Loaded Elliptic Plate with Clamped Edge
Uniformly Loaded Elliptic Plate with SimplySupporred Edge
Sector-Shaped Plates
*Stress Concentration around Holes in a Plate
References
Problems
Numerical Methods
Introduction
Finite Differences
Solution of the Finite Difference Equations
Load Representation
*Plates with Curved Boundaries
*The Polar Mesh
*The Triangular Mesh
The Finite Element Method
Properties of a Finite Element
Displacement Matrix
Strain, Stress, and Elasticity Matrices
Formulation of the Finite Element Method
Beam Element
Methods of Assemblage of the [k]e's
Triangular Finite Element
Displacement Function
The Stiffness Matrix
External Nodal Forces
Rectangular Finite Element
Displacement Function
The Stiffness Matrix
External Nodal Forces
References
Problems
Anisotropic Plates
Introduction
Basic Relationships
Determination of Rigidities
Application of Navier's Method
Application of L�vy's Method
Application of the Finite Difference Method
Elliptic and Circular Orthotropic Plates
Deflection by the Energy Method
*Plates of Isotropic Multilayers
The Finite Element Solution
A Typical Layered Orthotropic Plate
Laminated Composite Plates
References
Problems
Plates under Combined Lateral and In-Plane Loads
Introduction
Governing Equation for the Deflection Surface
Buckling of Plates
Application of the Energy Method
*The Finite Difference Solution
Plates with Small Initial Curvature
*Bending to a Cylindrical Surface
References
Problems
Large Deflections of Plates
Introduction
Plate Behavior When Deflections Are Large
Comparison of Small- and Large-Deflection Theories
An Approximate Method for the Circular Plate
Exact Solution for the Circular Plate Problem
General Equations for Large Deflections of Plates
Deflections by the Energy Method
The Finite Element Solution
Rectangular Finite Element373
References
Problems
Thermal Stresses in Plates
Introduction
Stress, Strain, and Displacement Relations
Stress Resultants
The Governing Differential Equations
Simply Supported Rectangular Plate Subject to an Arbitrary Temperature Distribution
Simply Supported Rectangular Plate with Temperature Distribution Varying over the Thickness
Analogy between Thermal and Isothermal PlateProblems
Plates with Clamped Edges
Plates with Simply Supported or Free Edges
Axisymmetrically Heated Circular Plates
References
Problems
Shells
Membrane Stresses in Shells
Introduction
Theories and General Behavior of Shells
Load Resistance Action of a Shell
Geometry of Shells of Revolution
Symmetrically Loaded Shells of Revolution
Some Typical Cases of Shells: of Revolution
Spherical Shell
Conical Shell
Circular Cylindrical Shell
Axially Symmetric Deformation
Asymmetrically Loaded Shells of Revolution
*Shells of Revolution under Wind Loading
Cylindrical Shells of General'shape
*Folded Structures
*Shells of General Form
*Breakdown of Elastic Action in Shells
References
Problems
Bending Stresses in Shells
Introduction
Shell Stress Resultants
Force, Moment, and Displacement Relations
Compound Stresses in a Shell
Strain Energy in the Bending and Stretching of Shells
Axisym metrically Loaded Circular Cylindrical Shells
A Typical Case of the Axisym metricallyLoaded Cylindrical Shell
Shells of Revolution under Axisym metrical Loads
Conical Shells
Spherical Shells
Cylindrical Shells
Governing Equations for Axisym metrical Displacements
Spherical Shells under Axisym metrical Load
Comparison of Bending and Membrane Stresses
*Simplified Theory of Spherical Shells underAxisymmetrical Load
The Finite Element Representations of Shells of General Shape
The Finite Element Solution of Axisym metrically Loaded Shells
References
Problems
Applications to Pipes, Tanks, and Pressure Vessels
Introduction
Pipes Subjected to Edge Forces and Moments
Long Pipes
Short Pipes
Reinforced Cylinders
Cylinders with Collars That Prohibit Deflection
Cylinders with Collars That Resist Deflection
Cylinders with Closed Ends
Cylindrical Tanks
Thermal Stresses in Cylinders
Uniform Temperature Distribution
Radial Temperature Gradient
Thermal Stresses in Compound Cylinders
Discontinuity Stresses in Pressure Vessels
Cylindrical Vessel with Hemispherical Heads
Cylindrical Vessel with Ellipsoidal Heads
Cylindrical Vessel with Flat Heads
*Design Formulas for Conventional Pressure Vessels
References
Problems
Cylindrical Shells under General Loads
Introduction
Differential Equations of Equilibrium
Kinematic Relationships
The Governing Equations for Deflections
*Approximate Relations
A Typical Case of Asymmetrical Loading
Curved Circular Panels
*A Simple Theory of Bending of Curved Circular Panels
*Curved Circular Panels with Ends Simply Supported and Straight Edges Free
Inextensional Deformations
A Typical Layered Orthotropic Cylindrical Shell
Laminated Composite Cylindrical Shells
*Symmetrical Buckling under Uniform Axial Pressure
Nonsymmetrical Buckling under Uniform Axial Compression
References
Problems
Appendices
Fourier Series Expansions
Single Fourier Series
Half-Range Expansions
Double Fourier Series
Reference
Tables
Conversion Factors: SI Units to U.S. Customary Units
SI Unit Prefixes
Typical Properties for Some Common Materials
Properties of Common Areas
Beam Deflection and Slopes
Restrained Beam Reactions and Deflections
Answers to Selected Problems
Index
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*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

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