Structural and Stress Analysis

Námskeið BYG201G Greining burðarvirkja 1 BT BUR3003 Einingaaðferðin og greining burðarvirkja BT BUÞ1013 Burðarþolsfræði I Ensk lýsing: The third edition of the popular Structural and Stress Analysis provides the reader with a comprehensive introduction to all types of structural and stress analysis. Starting with an explanation of the basic principles of statics, the book proceeds to normal and shear force, and bending moments and torsion. Building on the success of the prior edition, this edition features new material on structural dynamics and fatigue, and additional discussion of Eurocode compliance in design of beams. - Höfundur: T.H.G. Megson
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Structural and Stress Analysis

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Efnisyfirlit

  • Structural and Stress Analysis
  • Copyright
  • Dedication
  • Contents
  • Preface to the Fourth Edition
  • Preface to the Third Edition
  • Preface to the Second Edition
  • Preface to the First Edition
  • Chapter 1: Introduction
    • 1.1. Function of a structure
    • 1.2. Loads
    • 1.3. Structural systems
      • Beams
      • Trusses
      • Moment frames
      • Arches
      • Cables
      • Gravity structures
      • Shear and core walls
      • Continuum structures
    • 1.4. Support systems
    • 1.5. Statically determinate and indeterminate structures
    • 1.6. Analysis and design
    • 1.7. Structural and load idealization
    • 1.8. Structural elements
    • 1.9. Materials of construction
      • Steel
      • Concrete
      • Timber
      • Masonry
      • Aluminium
      • Cast iron, wrought iron
      • Composite materials
    • 1.10. The use of computers
  • Chapter 2: Principles of Statics
    • 2.1. Force
      • Parallelogram of forces
      • The resultant of a system of concurrent forces
      • Equilibrant of a system of concurrent forces
      • The resultant of a system of non-concurrent forces
    • 2.2. Moment of a force
      • Couples
      • Equivalent force systems
    • 2.3. The resultant of a system of parallel forces
    • 2.4. Equilibrium of force systems
    • 2.5. Calculation of support reactions
    • Problems
  • Chapter 3: Normal Force, Shear Force, Bending Moment and Torsion
    • 3.1. Types of load
      • Axial load
      • Shear load
      • Bending moment
      • Torsion
    • 3.2. Notation and sign convention
    • 3.3. Normal force
    • 3.4. Shear force and bending moment
    • 3.5. Load, shear force and bending moment relationships
    • 3.6. Torsion
    • 3.7. Principle of superposition
    • Problems
  • Chapter 4: Analysis of Pin-Jointed Trusses
    • 4.1. Types of truss
    • 4.2. Assumptions in truss analysis
    • 4.3. Idealization of a truss
    • 4.4. Statical determinacy
    • 4.5. Resistance of a truss to shear force and bending moment
    • 4.6. Method of joints
    • 4.7. Method of sections
    • 4.8. Method of tension coefficients
    • 4.9. Graphical method of solution
    • 4.10. Compound trusses
    • 4.11. Space trusses
    • 4.12. A computer-based approach
    • Problems
  • Chapter 5: Cables
    • 5.1. Lightweight cables carrying concentrated loads
    • 5.2. Heavy cables
      • Governing equation for deflected shape
      • Cable under its own weight
      • Cable subjected to a uniform horizontally distributed load
      • Suspension bridges
    • Problems
  • Chapter 6: Arches
    • 6.1. The linear arch
    • 6.2. The three-pinned arch
      • Support reactions - supports on same horizontal level
      • Support reactions - supports on different levels
    • 6.3. A three-pinned parabolic arch carrying a uniform horizontally distributed load
    • 6.4. Bending moment diagram for a three-pinned arch carrying concentrated loads and having supports
    • Problems
  • Chapter 7: Stress and Strain
    • 7.1. Direct stress in tension and compression
    • 7.2. Shear stress in shear and torsion
    • 7.3. Complementary shear stress
    • 7.4. Direct strain
    • 7.5. Shear strain
    • 7.6. Volumetric strain due to hydrostatic pressure
    • 7.7. Stress-strain relationships
      • Hookes law and Youngs modulus
      • Shear modulus
      • Volume or bulk modulus
    • 7.8. Poisson effect
    • 7.9. Relationships between the elastic constants
    • 7.10. Strain energy in simple tension or compression
      • Deflection of a simple truss
      • Composite structural members
      • Thermal effects
      • Initial stresses and prestressing
    • 7.11. Plane stress
    • 7.12. Plane strain
    • Problems
  • Chapter 8: Properties of Engineering Materials
    • 8.1. Classification of engineering materials
      • Ductility
      • Brittleness
      • Elastic materials
      • Plasticity
      • Isotropic materials
      • Anisotropic materials
      • Orthotropic materials
    • 8.2. Testing of engineering materials
      • Tensile tests
      • Compression tests
      • Bending tests
      • Shear tests
      • Hardness tests
      • Impact tests
    • 8.3. Stress-strain curves
      • Low carbon steel (mild steel)
      • Aluminium
      • Brittle materials
      • Composites
    • 8.4. Strain hardening
    • 8.5. Creep and relaxation
    • 8.6. Fatigue
    • Crack propagation
    • 8.7. Design methods
    • 8.8. Material properties
    • Problems
  • Chapter 9: Bending of Beams
    • 9.1. Symmetrical bending
      • Assumptions
      • Direct stress distribution
      • Elastic section modulus
    • 9.2. Combined bending and axial load
      • Core of a rectangular section
      • Core of a circular section
    • 9.3. Anticlastic bending
    • 9.4. Strain energy in bending
    • 9.5. Unsymmetrical bending
      • Assumptions
      • Sign conventions and notation
      • Direct stress distribution
      • Position of the neutral axis
    • 9.6. Calculation of section properties
      • Parallel axes theorem
      • Theorem of perpendicular axes
      • Second moments of area of standard sections
      • Product second moment of area
      • Approximations for thin-walled sections
      • Second moments of area of inclined and curved thin-walled sections
    • 9.7. Principal axes and principal second moments of area
    • 9.8. Effect of shear forces on the theory of bending
    • 9.9. Load, shear force and bending moment relationships, general case
    • Problems
  • Chapter 10: Shear of Beams
    • 10.1. Shear stress distribution in a beam of unsymmetrical section
    • 10.2. Shear stress distribution in symmetrical sections
    • 10.3. Strain energy due to shear
    • 10.4. Shear stress distribution in thin-walled open section beams
      • Shear centre
    • 10.5. Shear stress distribution in thin-walled closed section beams
      • Shear centre
    • Problems
  • Chapter 11: Torsion of Beams
    • 11.1. Torsion of solid and hollow circular section bars
      • Torsion of a circular section hollow bar
      • Statically indeterminate circular section bars under torsion
    • 11.2. Strain energy due to torsion
    • 11.3. Plastic torsion of circular section bars
    • 11.4. Torsion of a thin-walled closed section beam
    • 11.5. Torsion of solid section beams
    • 11.6. Warping of cross sections under torsion
    • Problems
  • Chapter 12: Composite Beams
    • 12.1. Steel-reinforced timber beams
    • 12.2. Reinforced concrete beams
      • Elastic theory
      • Ultimate load theory
    • 12.3. Steel and concrete beams
    • Problems
  • Chapter 13: Deflection of Beams
    • 13.1. Differential equation of symmetrical bending
    • 13.2. Singularity functions
    • 13.3. Moment-area method for symmetrical bending
    • 13.4. Deflections due to unsymmetrical bending
    • 13.5. Deflection due to shear
    • 13.6. Statically indeterminate beams
      • Method of superposition
      • Built-in or fixed-end beams
      • Fixed beam with a sinking support
    • Problems
  • Chapter 14: Complex Stress and Strain
    • 14.1. Representation of stress at a point
    • 14.2. Determination of stresses on inclined planes
      • Biaxial stress system
      • General two-dimensional case
    • 14.3. Principal stresses
    • 14.4. Mohrs circle of stress
    • 14.5. Stress trajectories
    • 14.6. Determination of strains on inclined planes
    • 14.7. Principal strains
    • 14.8. Mohrs circle of strain
    • 14.9. Experimental measurement of surface strains and stresses
    • 14.10. Theories of elastic failure
      • Ductile materials
        • Maximum shear stress theory
        • Shear strain energy theory
        • Design application
        • Yield loci
      • Brittle materials
        • Maximum normal stress theory
    • Problems
  • Chapter 15: Virtual Work and Energy Methods
    • 15.1. Work
    • 15.2. Principle of virtual work
      • Principle of virtual work for a particle
      • Principle of virtual work for a rigid body
      • Virtual work in a deformable body
      • Work done by internal force systems
        • Axial force
        • Shear force
        • Bending moment
        • Torsion
        • Hinges
        • Sign of internal virtual work
      • Virtual work due to external force systems
      • Use of virtual force systems
      • Applications of the principle of virtual work
    • 15.3. Energy methods
      • Strain energy and complementary energy
      • The principle of the stationary value of the total complementary energy
      • Temperature effects
      • Potential energy
      • The principle of the stationary value of the total potential energy
    • 15.4. Reciprocal theorems
      • Theorem of reciprocal displacements
      • Theorem of reciprocal work
    • Problems
  • Chapter 16: Analysis of Statically Indeterminate Structures
    • 16.1. Flexibility and stiffness methods
    • 16.2. Degree of statical indeterminacy
      • Rings
      • The entire structure
      • The completely stiff structure
      • Degree of statical indeterminacy
      • Trusses
    • 16.3. Kinematic indeterminacy
    • 16.4. Statically indeterminate beams
    • 16.5. Statically indeterminate trusses
      • Self-straining trusses
    • 16.6. Braced beams
    • 16.7. Portal frames
    • 16.8. Two-pinned arches
      • Secant assumption
      • Tied arches
      • Segmental arches
    • 16.9. Slope-deflection method
    • 16.10. Moment distribution
      • Principle
      • Fixed-end moments
      • Stiffness coefficient
      • Distribution factor
      • Stiffness coefficients and carry over factors
      • Continuous beams
    • 16.11. Portal frames
    • Problems
  • Chapter 17: Matrix Methods of Analysis
    • 17.1. Axially loaded members
    • 17.2. Stiffness matrix for a uniform beam
    • 17.3. Finite element method for continuum structures
      • Stiffness matrix for a beam-element
      • Stiffness matrix for a triangular finite element
      • Stiffness matrix for a quadrilateral element
    • Problems
  • Chapter 18: Plastic Analysis of Beams and Frames
    • 18.1. Theorems of plastic analysis
      • The uniqueness theorem
      • The lower bound, or safe, theorem
      • The upper bound, or unsafe, theorem
    • 18.2. Plastic analysis of beams
      • Plastic bending of beams having a singly symmetrical cross section
      • Shape factor
      • Moment-curvature relationships
      • Plastic hinges
      • Plastic analysis of beams
      • Plastic design of beams
      • Effect of axial load on plastic moment
    • 18.3. Plastic analysis of frames
    • Problems
  • Chapter 19: Yield Line Analysis of Slabs
    • 19.1. Yield line theory
      • Yield lines
      • Ultimate moment along a yield line
      • Internal virtual work due to an ultimate moment
      • Virtual work due to an applied load
    • 19.2. Discussion
    • Problems
  • Chapter 20: Influence Lines
    • 20.1. Influence lines for beams in contact with the load
      • RA influence line
      • RB influence line
      • SK influence line
      • MK influence line
    • 20.2. Mueller-Breslau principle
    • 20.3. Systems of travelling loads
      • Concentrated loads
        • Maximum shear force at K
        • Maximum bending moment at K
      • Distributed loads
        • Maximum shear force at K
        • Maximum bending moment at K
      • Diagram of maximum shear force
      • Reversal of shear force
      • Determination of the point of maximum bending moment in a beam
    • 20.4. Influence lines for beams not in contact with the load
      • SK influence line
      • MK influence line
      • Maximum values of SK and MK
    • 20.5. Forces in the members of a truss
      • Counterbracing
    • 20.6. Influence lines for continuous beams
    • Problems
  • Chapter 21: Structural Instability
    • 21.1. Euler theory for slender columns
      • Buckling load for a pin-ended column
      • Buckling load for a column with fixed ends
      • Buckling load for a column with one end fixed and one end free
      • Buckling of a column with one end fixed and the other pinned
    • 21.2. Limitations of the Euler theory
    • 21.3. Failure of columns of any length
      • Rankine theory
      • Initially curved column
    • 21.4. Effect of cross section on the buckling of columns
    • 21.5. Stability of beams under transverse and axial loads
      • Combined bending and compressive loads
    • 21.6. Energy method for the calculation of buckling loads in columns (Rayleigh-Ritz Method)
    • Problems
  • Chapter 22: Joints and Connections
    • 22.1. Bolted and riveted joints
      • Simple lap joint
        • Rivet shear
        • Bearing pressure
        • Plate failure in tension
        • Shear failure in a plate
      • Joint efficiency
      • Group riveted joints
      • Eccentrically loaded riveted joints
    • 22.2. Welded connections
      • Types of weld
      • Design of welds
      • Strength of welds
    • Problems
  • Solutions to Chapter 2 Problems
  • Solutions to Chapter 3 Problems
  • Solutions to Chapter 4 Problems
  • Solutions to Chapter 5 Problems
  • Solutions to Chapter 6 Problems
  • Solutions to Chapter 7 Problems
  • Solutions to Chapter 8 Problems
  • Solutions to Chapter 9 Problems
  • Solutions to Chapter 10 Problems
  • Solutions to Chapter 11 Problems
  • Solutions to Chapter 12 Problems
  • Solutions to Chapter 13 Problems
  • Solutions to Chapter 14 Problems
  • Solutions to Chapter 15 Problems
  • Solutions to Chapter 16 Problems
  • Solutions to Chapter 17 Problems
  • Solutions to Chapter 18 Problems
  • Solutions to Chapter 19 Problems
  • Solutions to Chapter 20 Problems
  • Solutions to Chapter 21 Problems
  • Solutions to Chapter 22 Problems
  • Index
  • Back Cover

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