Structural and Stress Analysis

Höfundur T.H.G. Megson

Útgefandi Elsevier S & T

Snið Page Fidelity

Print ISBN 9780081025864

Útgáfa 4

Útgáfuár 2020

8.390 kr.

Description

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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