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Intermediate Mechanics of Materials

ISBN-10: 0195188551
ISBN-13: 9780195188554
Edition: 2007
Authors: Madhukar Vable
List price: $160.90
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Description: This is a textbook for the second core course in Mehcanics of Materials, offered through the mechanical engineering departments. Vable makes the intermediate course in Mechanics of Materials coherent by building a logic of structural analysis. In  More...

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Book details

List price: $160.90
Copyright year: 2007
Publisher: Oxford University Press, Incorporated
Publication date: 5/25/2007
Binding: Hardcover
Pages: 624
Size: 7.75" wide x 9.25" long x 1.00" tall
Weight: 2.486

This is a textbook for the second core course in Mehcanics of Materials, offered through the mechanical engineering departments. Vable makes the intermediate course in Mechanics of Materials coherent by building a logic of structural analysis. In this logic, displacements, strains, stresses and internal and external forces and moments are related. This helps the students clarify the complex topic and understand the relationships better.

Preface
Stress and Strain
Overview
Stress on a Surface
Stress at a Point
Sign Convention for Stress
Stress Elements
Construction of a Stress Cube
Plane Stress
Stress Transformation in Two Dimensions
Matrix Method in Two Dimensions
Principal Stresses
Maximum Shear Stress
Stress Transformation in Three Dimensions
Principal Stresses
Principal Stress Convention
Characteristic Equation and Stress Invariants
Octahedral Stresses
Average Normal and Shear Strains
Units of Average Strains
Strain at a Point and Strain-Displacement Equations
Plane Strain
Finite Difference Approximation of Strains
Strain Transformation
Principal Strains
Closure
Material Description
Overview
Linear Material Model
Monoclinic Materials
Orthotropic Materials
Transversely Isotropic Materials
Isotropic Materials
Plane Stress and Plane Strain
Failure Theories
Maximum Shear Stress Theory
Maximum Octahedral Shear Stress Theory
Maximum Normal Stress Theory
Modified Mohr's Theory
Saint-Venant's Principle
Stress Concentration Factor
Stress Intensity Factor
Analysis Procedure
Fatigue
Closure
Basic Structural Members
Overview
Logic in Structural Analysis
Basic Theories of One-Dimensional Structural Members
Limitations
Elementary Theories of One-Dimensional Structural Members
Shear Stress in Thin Symmetric Beams
Stresses and Strains
Discontinuity Functions
Definition of Discontinuity Functions
Boundary Value Problems
Axial Displacement
Torsional Rotation
Beam Deflection
Symmetric Bending of Curved Beams
Kinematics
Material Model
Static Equivalency
Location of the Neutral Axis
Stress Formula
Combined Loading
Closure
Composite Structural Members
Overview
Composite Axial Members
Composite Shafts
Composite Symmetric Beams
Normal Bending Stress in Composite Beams
Location of the Neutral Axis (Origin) in Composite Beams
Bending Shear Stress in Composite Beams
Cross Section Transformation Method
Introduction to the Micromechanics of Composites
Orthotropic Composite Laminae
Unit Cell Approximation
Longitudinal Modulus of Elasticity E[Subscript x]
Poisson's Ratio v[Subscript xy]
Transverse Modulus of Elasticity E[Subscript y]
Shear Modulus G[Subscript xy]
Closure
Inelastic Structural Behavior
Overview
Effects of Temperature
Initial Stress or Strain in Axial Members
Temperature Effects in Axial Members
Nonlinear Material Models
Elastic-Perfectly Plastic Material Models
Linear Strain-Hardening Material Model
Power Law Model
Elastic-Perfectly Plastic Axial Members
Elastic-Perfectly Plastic Circular Shafts
Residual Shear Stress
Elastic-Perfectly Plastic Beams
Material Nonlinearity in Structural Members
Viscoelasticity
Maxwell Model
Kelvin Model
Creep Test
Relaxation Test
Generalized Viscoelastic Linear Models
Closure
Thin-Walled Structural Members
Overview
Theory of Unsymmetric Bending of Beams
Deformation
Strain Distribution
Material Model
Internal Forces and Moments
Sign Convention
Bending Formulas
Location of Origin
Neutral Axis
Equilibrium Equations
Shear Stress in Thin Open Sections
Shear Center
Shear Stresses in Thin Closed Sections
Shear Centers of Thin Closed Sections
Torsion of Thin-Walled Tubes
Torsional Deformation
Torsion of Multicell Tubes
Combined Loading
Closure
Energy Methods
Overview
Strain Energy
Linear Strain Energy Density
Axial Strain Energy
Torsional Strain Energy of Circular Shafts
Bending Strain Energy
Work
Virtual Work
Types of Boundary Conditions
Kinematically Admissible Functions
Statically Admissible Functions
Virtual Displacement Method
Virtual Force Method
Dummy Unit Load Method
Axial Members
Torsion of Circular Shafts
Symmetric Bending of Beams
Castigliano's Theorems
Deflection of Curved Beams
Minimum Potential Energy
Rayleigh-Ritz Method
Axial Members
Torsion of Circular Shafts
Symmetric Bending of Beams
Functionals
Closure
Elasticity and the Mechanics of Materials
Overview
Elasticity Equations
Compatibility Equations
Plane Stress and Plane Strain
Equilibrium Equations
Boundary Conditions
Axisymmetric Problems
Axisymmetric Plane Strain
Axisymmetric Plane Stress
Rotating Disks
Thick Hollow Cylinders
Internal Pressure Only
External Pressure Only
Thin Disks
Internal Pressure Only
External Pressure Only
Shrink Fitting
Airy Stress Function
Solution by Polynomials
Quadratic Polynomials
Cubic Polynomials
Fourth-Order Polynomials
Torsion of Noncircular Shafts
Saint-Venant's Method
Prandtl's Method
Procedure for Solving Problems of Torsion of Noncircular Shafts
Closure
Finite Element Method
Overview
Terminology
Lagrange Polynomials
Axial Elements
Element Stiffness Matrix
Element Load Vector
Assembly of Global Matrix and Global Load Vector
Incorporating the External Concentrated Forces
Incorporating the Boundary Conditions on Displacements
Element Strain Energy
Transformation Matrix
Linear and Quadratic Axial Elements
Procedural Steps in the Finite Element Method
Circular Shaft Elements
Symmetric Beam Elements
Finite Element Equations in Two-Dimensions
Constant Strain Triangle
Closure
Statics and Mechanics of Materials Review
Overview
Types of Forces and Moments
External Forces and Moments
Reaction Forces and Moments
Internal Forces and Moments
Free Body Diagrams
Trusses
Centroids
Statically Equivalent Load Systems
Distributed Force on a Line
Distributed Force on a Surface
Area Moments of Inertia
Principal Moments of Inertia
Mohr's Circle for Stress
Construction of Mohr's Circle for Stress
Principal Stresses and Maximum Shear Stress
Stresses on an Inclined Plane
Mohr's Circle for Strain
Construction of Mohr's Circle for Strain
Principal Strains and Maximum Shear Strain
Strains in a Specified Coordinate System
Strain Gages
Thin-Walled Pressure Vessels
Additional Details on Elementary Structural Theories
Deformation
Strains
Stress
Internal Forces and Moments
Location of the Origin
Stress and Deformation Formulas
Sign Conventions
Equilibrium Equations
Differential Equations
Basic Matrix Algebra
Basic Definitions
Addition of Matrices
Multiplication of Matrices
A Matrix Transpose
Determinant of a Matrix
Cramer's Rule
Inverse of a Matrix
Information Charts and Tables
Stress Concentration Factor for a Finite Plate with a Central Hole
Stress Concentration Factor for Stepped Axial Circular Bars with Fillet
Stress Concentration Factor for Stepped Circular Shafts with Fillet
Stress Concentration Factor for a Stepped Circular Beam with Fillet
Reactions at the Support
Areas, Centroids, and Second Area Moments of Inertia
Deflections and Slopes of Beams
Properties of Traditional Materials (FPS units)
Properties of Traditional Materials (metric units)
Properties of Typical Fiber and Matrix Materials
Geometric Properties of Wide-Flange Sections (FPS units)
Geometric Properties of Wide-Flange Sections (metric units)
Geometric Properties of S-Shaped Sections (FPS units)
Geometric Properties of S-Shaped Sections (metric units)
Bibliography
Index

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