Structural and Stress Analysis

Höfundur Jianqiao Ye

Útgefandi Taylor & Francis

Snið ePub

Print ISBN 9781138373709

Útgáfa 2

Útgáfuár 2016

14.990 kr.

Description

Efnisyfirlit

  • Front Matter
  • Dedication
  • Preface to the First Edition
  • Preface to the Second Edition
  • Chapter 1 Introduction
  • 1.1 FORCE AND MOMENT
  • Figure 1.1 Flow chart of structural and stress analysis.
  • Figure 1.2 Examples of external loadings.
  • Figure 1.3 Moment of a force.
  • 1.2 TYPES OF FORCE AND DEFORMATION
  • 1.2.1 Force
  • 1.2.2 Deformation
  • 1.3 EQUILIBRIUM SYSTEM
  • Figure 1.4 Internal forces on a cross section.
  • Table 1.1
  • 1.1.3 Free body diagram of an object or system
  • Figure 1.5
  • 1.3.2 Method of section
  • Table 1.2
  • Table 1.3
  • 1.3.3 Method of joint
  • 1.4 STRESSES
  • Figure 1.6 Equilibrium of truss.
  • 1.4.1 Normal stress
  • 1.4.2 Shear stress
  • Figure 1.7 Normal stress on a cross section.
  • Figure 1.8 Shear stress on a cross section.
  • 1.5 STRAINS
  • Figure 1.9 Illustration of normal strain.
  • 1.6 STRAIN–STRESS RELATION
  • Figure 1.10 Illustration of shear strain.
  • 1.7 GENERALISED HOOKE’s LAW
  • Figure 1.11 Illustration of Poisson’s effect: (a) bar before loading and (b) bar after loading.
  • Figure 1.12 Strain the x direction caused by tri-axial stresses.
  • 1.8 STRENGTH, STIFFNESS AND FAILURE
  • Figure 1.13 Bending of cantilever.
  • Figure 1.14 Stress–strain curve.
  • 1.9 KEY POINTS REVIEW
  • Figure 1.15 Flow chart of solution procedure.
  • 1.10 BASIC APPROACH FOR STRUCTURAL ANALYSIS
  • 1.11 EXAMPLES
  • EXAMPLE 1.1
  • EXAMPLE 1.2
  • EXAMPLE 1.3
  • 1.12 CONCEPTUAL QUESTIONS
  • 1.13 MINI TEST
  • PROBLEM 1.1
  • PROBLEM 1.2
  • PROBLEM 1.3
  • PROBLEM 1.4
  • PROBLEM 1.5
  • Chapter 2 Axial tension and compression
  • 2.1 SIGN CONVENTION
  • 2.2 NORMAL (DIRECT) STRESS
  • Figure 2.1 Bar subjected to uniaxial force: (a) tension and (b) compression.
  • Figure 2.2 Normal stress on cross section.
  • 2.3 STRESSES ON AN ARBITRARILY INCLINED PLANE
  • Figure 2.3 Stress on an inclined plane.
  • 2.4 DEFORMATION OF AXIALLY LOADED MEMBERS
  • 2.4.1 Members of uniform sections
  • 2.4.2 Member with step changes
  • Figure 2.4 Elongation of an axially loaded bar.
  • Figure 2.5 Varying stress or strain along the bar.
  • 2.5 STATICALLY INDETERMINATE AXIAL DEFORMATION
  • Figure 2.6 Deformation of a statically indeterminate bar.
  • 2.6 ELASTIC STRAIN ENERGY OF AN AXIALLY LOADED MEMBER
  • 2.6.1 Strain energy U in an axially loaded member
  • 2.6.2 Strain energy density, U0
  • 2.7 SAINT-VENANT’s PRINCIPLE AND STRESS CONCENTRATION
  • Figure 2.7 Illustration of Saint-Venant’s principle and stress concentration.
  • 2.8 STRESS CAUSED BY TEMPERATURE
  • Figure 2.8 Thermal expansion of a material.
  • 2.9 KEY POINTS REVIEW
  • 2.10 RECOMMENDED PROCEDURE OF SOLUTION
  • 2.11 EXAMPLES
  • EXAMPLE 2.1
  • EXAMPLE 2.2
  • EXAMPLE 2.3
  • EXAMPLE 2.4
  • EXAMPLE 2.5
  • 2.12 CONCEPTUAL QUESTIONS
  • 2.13 MINI TEST
  • PROBLEM 2.1
  • PROBLEM 2.2
  • PROBLEM 2.3
  • PROBLEM 2.4
  • PROBLEM 2.5
  • Chapter 3 Torsion
  • 3.1 SIGN CONVENTION
  • 3.2 SHEAR STRESS
  • Figure 3.1 Torsional deformation of a circular bar.
  • 3.3 ANGLE OF TWIST
  • Figure 3.2 Sign convention.
  • Figure 3.3 Shear stress distribution on cross section.
  • 3.4 TORSION OF ROTATING SHAFTS
  • Figure 3.4 Angle of rotation between two sections.
  • 3.5 KEY POINTS REVIEW
  • 3.6 RECOMMENDED PROCEDURE OF SOLUTION
  • 3.7 EXAMPLES
  • EXAMPLE 3.1
  • EXAMPLE 3.2
  • EXAMPLE 3.3
  • EXAMPLE 3.4
  • EXAMPLE 3.5
  • EXAMPLE 3.6
  • EXAMPLE 3.7
  • 3.8 CONCEPTUAL QUESTIONS
  • 3.9 MINI TEST
  • PROBLEM 3.1
  • PROBLEM 3.2
  • PROBLEM 3.3
  • PROBLEM 3.4
  • PROBLEM 3.5
  • Chapter 4 Shear and bending moment
  • 4.1 DEFINITION OF BEAM
  • 4.2 SHEAR FORCE AND BENDING MOMENT
  • 4.3 BEAM SUPPORTS
  • Figure 4.1 Illustration of beam bending.
  • Figure 4.2 Types of deformation.
  • 4.4 SIGN CONVENTION
  • 4.4.1 Definition of positive shear
  • Table 4.1 Beam supports and reactions
  • Figure 4.3 Sign convention of shear force.
  • 4.4.2 Definition of positive bending moment
  • 4.5 RELATIONSHIPS BETWEEN BENDING MOMENT, SHEAR FORCE AND APPLIED LOAD
  • Figure 4.4 Sign convention of bending moment.
  • Figure 4.5 Internal forces of loaded beam.
  • 4.6 SHEAR FORCE AND BENDING MOMENT DIAGRAMS
  • Table 4.2 Common features of shear and bending moment diagrams
  • 4.7 KEY POINTS REVIEW
  • 4.8 RECOMMENDED PROCEDURE OF SOLUTION
  • 4.9 EXAMPLES
  • EXAMPLE 4.1
  • EXAMPLE 4.2
  • EXAMPLE 4.3
  • EXAMPLE 4.4
  • EXAMPLE 4.5
  • 4.10 CONCEPTUAL QUESTIONS
  • 4.11 MINI TEST
  • PROBLEM 4.1
  • PROBLEM 4.2
  • PROBLEM 4.3
  • PROBLEM 4.4
  • PROBLEM 4.5
  • Chapter 5 Bending stresses in symmetric beams
  • 5.1 ELASTIC NORMAL STRESSES IN BEAMS
  • Figure 5.1 Stress distribution on cross section subjected to bending.
  • Figure 5.2 Bending of a beam.
  • 5.2 CALCULATION OF SECOND MOMENT OF AREA
  • Figure 5.3 Coordinate system for calculating section properties.
  • Figure 5.4 Position of neutral axis.
  • Table 5.1 Second moment of area about neutral axis
  • Figure 5.5 Coordinate system for parallel axis theorem.
  • 5.3 SHEAR STRESSES IN BEAMS
  • Figure 5.6 Shear stress along the top edge of section.
  • Figure 5.7 Calculation of S*.
  • 5.4 PLASTIC DEFORMATION OF BEAMS
  • Figure 5.8 Idealised strain–stress curve.
  • Figure 5.9 (a) Stress caused by F is smaller than σYield and the beam deflects elastically σYield. (b) Stress caused by F reaches σYield on part of the section and a plastic hinge is developing. (c) Stress caused by F reaches σYield on the entire section and a plastic hinge has been developed.
  • 5.5 KEY POINTS REVIEW
  • 5.6 RECOMMENDED PROCEDURE OF SOLUTION
  • 5.7 EXAMPLES
  • EXAMPLE 5.1
  • EXAMPLE 5.2
  • EXAMPLE 5.3
  • EXAMPLE 5.4
  • EXAMPLE 5.5
  • EXAMPLE 5.6
  • EXAMPLE 5.7
  • EXAMPLE 5.8
  • 5.8 CONCEPTUAL QUESTIONS
  • 5.9 MINI TEST
  • PROBLEM 5.1
  • PROBLEM 5.2
  • PROBLEM 5.3
  • PROBLEM 5.4
  • PROBLEM 5.5
  • Chapter 6 Deflection of beams under bending
  • 6.1 SIGN CONVENTION
  • Figure 6.1 Deflection of cantilever.
  • Figure 6.2 Sign convention of bending.
  • 6.2 EQUATION OF BEAM DEFLECTION
  • 6.2.1 Integration method
  • 6.2.2 Superposition method
  • Table 6.1 Continuity conditions at critical sections
  • Figure 6.3 Liner superposition of deflection.
  • 6.2.3 Macaulay’s method (step function method)
  • Table 6.2 Deflection of beam
  • Figure 6.4 Coordinates for Macaulay’s equation.
  • 6.3 KEY POINTS REVIEW
  • 6.4 EXAMPLES
  • 6.4.1 Examples of the integration method
  • EXAMPLE 6.1
  • EXAMPLE 6.2
  • 6.4.2 Examples of the superposition method
  • EXAMPLE 6.3
  • EXAMPLE 6.4
  • EXAMPLE 6.5
  • EXAMPLE 6.6
  • 6.4.3 Examples of Macaulay’s method
  • EXAMPLE 6.7
  • EXAMPLE 6.8
  • 6.5 CONCEPTUAL QUESTIONS
  • 6.6 MINI TEST
  • PROBLEM 6.1
  • PROBLEM 6.2
  • PROBLEM 6.3
  • PROBLEM 6.4
  • PROBLEM 6.5
  • Chapter 7 Complex stresses
  • Figure 7.1 Three-dimensional stresses at a point of material.
  • 7.1 TWO-DIMENSIONAL STATE OF STRESS
  • Figure 7.2 Three-dimensional state of stresses.
  • Figure 7.3 Examples of two-dimensional state of stresses.
  • 7.1.1 Sign convention of stresses
  • Figure 7.4 Example of stresses on an inclined plane.
  • 7.1.2 Analytical method
  • Figure 7.5 Stresses on an arbitrarily inclined plane.
  • Figure 7.6 Equilibrium of a wedge.
  • Figure 7.7 Principal stresses and directions.
  • Figure 7.8 Directions of principal stresses.
  • Figure 7.9 Concrete failure due to maximum shearing.
  • 7.1.3 Graphic method
  • Figure 7.10 Mohr’s circle.
  • 7.2 KEY POINTS REVIEW
  • 7.2.1 Complex stress system
  • 7.2.2 Mohr’s circle
  • 7.3 EXAMPLES
  • EXAMPLE 7.1
  • EXAMPLE 7.2
  • EXAMPLE 7.3
  • EXAMPLE 7.4
  • 7.4 CONCEPTUAL QUESTIONS
  • 7.5 MINI TEST
  • PROBLEM 7.1
  • PROBLEM 7.2
  • PROBLEM 7.3
  • PROBLEM 7.4
  • PROBLEM 7.5
  • Chapter 8 Complex strains and strain gauges
  • Figure 8.1 Three-dimensional stresses.
  • Figure 8.2 Two-dimensional strains.
  • Figure 8.3 Two-dimensional principal stresses and strains.
  • 8.1 STRAIN ANALYSIS
  • Figure 8.4 Strain transformation.
  • 8.2 STRAIN MEASUREMENT BY STRAIN GAUGES
  • Figure 8.5 Torsion of a circular bar.
  • Figure 8.6 Strain measurement using strain gauge rosette.
  • 8.3 KEY POINTS REVIEW
  • 8.3.1 Complex strain system
  • 8.3.2 Strain measurement by strain gauges
  • 8.4 EXAMPLES
  • EXAMPLE 8.1
  • EXAMPLE 8.2
  • EXAMPLE 8.3
  • EXAMPLE 8.4
  • 8.5 CONCEPTUAL QUESTIONS
  • 8.6 MINI TEST
  • PROBLEM 8.1
  • PROBLEM 8.2
  • PROBLEM 8.3
  • PROBLEM 8.4
  • PROBLEM 8.5
  • Chapter 9 Theories of elastic failure
  • Figure 9.1 Brittle failure of a circular bar.
  • Figure 9.2 Ductile failure of a circular bar.
  • 9.1 MAXIMUM PRINCIPAL STRESS CRITERION
  • 9.2 MAXIMUM SHEAR STRESS CRITERION (TRESCA THEORY)
  • 9.3 DISTORTIONAL ENERGY DENSITY (VON MISES THEORY) CRITERION
  • 9.4 SPECIAL FORMS OF TRESCA AND VON MISES CRITERIONS
  • Figure 9.3 Beam subjected to bending and uniaxial tension.
  • 9.5 KEY POINTS REVIEW
  • 9.6 RECOMMENDED PROCEDURE OF SOLUTION
  • Figure 9.4 Flow chart for failure analysis.
  • 9.7 EXAMPLES
  • EXAMPLE 9.1
  • EXAMPLE 9.2
  • EXAMPLE 9.3
  • EXAMPLE 9.4
  • 9.8 CONCEPTUAL QUESTIONS
  • 9.9 MINI TEST
  • PROBLEM 9.1
  • PROBLEM 9.2
  • PROBLEM 9.3
  • PROBLEM 9.4
  • PROBLEM 9.5
  • Chapter 10 Buckling of columns
  • 10.1 EULER FORMULAS FOR COLUMNS
  • Figure 10.1 Strength failure of material subjected to compression.
  • Figure 10.2 Buckling of long column.
  • Figure 10.3 Commonly-used section profiles of structural column.
  • 10.1.1 Euler formula for columns with pinned ends
  • 10.1.2 Euler formulas for columns with other ends
  • Figure 10.4 Buckling of column with pinned ends.
  • Figure 10.5 Buckling of columns with other ends.
  • Table 10.1 Effective length factor of compression members
  • 10.2 LIMITATIONS OF EULER FORMULAS
  • 10.3 KEY POINTS REVIEW
  • 10.4 EXAMPLES
  • EXAMPLE 10.1
  • EXAMPLE 10.2
  • EXAMPLE 10.3
  • EXAMPLE 10.4
  • EXAMPLE 10.5
  • 10.5 CONCEPTUAL QUESTIONS
  • 10.6 MINI TEST
  • PROBLEM 10.1
  • PROBLEM 10.2
  • PROBLEM 10.3
  • PROBLEM 10.4
  • PROBLEM 10.5
  • Chapter 11 Energy method
  • 11.1 WORK AND STRAIN ENERGY
  • 11.1.1 Work done by a force
  • 11.1.2 Strain energy
  • Figure 11.1 Work done by a force.
  • Table 11.1 Strain energy
  • 11.2 SOLUTIONS BASED ON ENERGY METHOD
  • 11.2.1 Castigliano’s first theorem
  • Figure 11.2 Strain energy due to the work done by the point forces.
  • 11.2.2 Castigliano’s second theorem
  • 11.3 VIRTUAL WORK AND THE PRINCIPLE OF VIRTUAL WORK
  • 11.3.1 Virtual work
  • 11.3.2 The principle of virtual work
  • Figure 11.3 Illustration of virtual work.
  • 11.3.3 Deflection of a truss system
  • Figure 11.4 Deflection of truss.
  • 11.4 KEY POINTS REVIEW
  • 11.5 EXAMPLES
  • EXAMPLE 11.1
  • EXAMPLE 11.2
  • EXAMPLE 11.3
  • EXAMPLE 11.4
  • EXAMPLE 11.5
  • EXAMPLE 11.6
  • EXAMPLE 11.7
  • EXAMPLE 11.8
  • 11.6 CONCEPTUAL QUESTIONS
  • 11.7 MINI TEST
  • PROBLEM 11.1
  • PROBLEM 11.2
  • PROBLEM 11.3
  • PROBLEM 11.4
  • PROBLEM 11.5
  • Chapter 12 Bending of thin plates
  • 12.1 THIN PLATE THEORY
  • Figure 12.1 A thin rectangular plate.
  • Figure 12.2 Bending of thin plate and bending stresses.
  • 12.2 COMPARISONS OF BENDING OF BEAMS AND BENDING OF THIN PLATES
  • Table 12.1 Bending of plates viz bending of beams
  • 12.3 COMMONLY USED SUPPORT CONDITIONS
  • 12.3.1 Clamped/fixed edges
  • Figure 12.3 Plate with clamped edges.
  • Figure 12.4 Plate with simply supported edges.
  • 12.3.2 Simply supported edges
  • 12.3.3 Free edges
  • Figure 12.5 Plate with free edges.
  • 12.4 KEY POINTS REVIEW
  • 12.5 EXAMPLES
  • EXAMPLE 12.1
  • EXAMPLE 12.2
  • EXAMPLE 12.3
  • 12.6 CONCEPTUAL QUESTIONS
  • 12.7 MINI TEST
  • PROBLEM 12.1
  • PROBLEM 12.2
  • PROBLEM 12.3
  • PROBLEM 12.4
  • PROBLEM 12.5
  • Chapter 13 Impact loads and vibration
  • 13.1 IMPACT LOAD
  • Table 13.1 Impact factor for some of the most common forms of impact
  • 13.2 VIBRATION
  • Figure 13.1 Single-degree-of-freedom (SDOF) model.
  • 13.2.1 Types of vibration
  • 13.2.1.1 Dynamic equilibrium equation of vibration
  • Figure 13.2 Dynamic equilibrium of SDOF mass.
  • 13.2.1.2 Free vibration (F(t)=0)
  • Figure 13.3 Critically and overdamped motion.
  • 13.2.1.3 Forced vibration (F(t)≠0)
  • 13.2.1.4 Dynamic amplification factor
  • 13.2.1.5 Resonance
  • Figure 13.4 DAF viz frequency ratio.
  • 13.3 KEY POINTS REVIEW
  • 13.4 SUMMARY OF THE SOLUTIONS
  • Table 13.2 Solution of SDOF system
  • 13.5 EXAMPLES
  • EXAMPLE 13.1
  • EXAMPLE 13.2
  • EXAMPLE 13.3
  • EXAMPLE 13.4
  • EXAMPLE 13.5
  • EXAMPLE 13.6
  • 13.6 CONCEPTUAL QUESTIONS
  • 13.7 MINI TEST
  • PROBLEM 13.1
  • PROBLEM 13.2
  • PROBLEM 13.3
  • PROBLEM 13.4
  • PROBLEM 13.5
  • Back Matter
  • Index

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