Structural and stress analysis

Format:

Book

Author/Creator:

Megson, T. H. G. (Thomas Henry Gordon), author.

Language:

English

Subjects (All):

Structural analysis (Engineering).

Strains and stresses.

Physical Description:

1 online resource (1185 pages)

Edition:

3rd ed.

Place of Publication:

[Place of publication not identified] Butterworth Heinemann is an imprint of Elsevier 2014

Language Note:

English

Summary:

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. With worked examples, practice problems, and extensive illustrations, this book provides an all-in-one resource for students and professionals interested in learning structural analysis. Comprehensive overview of structural and stress analysis Numerous worked examples and end-of-chapter problems Extensively illustrated to help visualize concepts

Contents:

Front Cover

Structural and Stress Analysis

Copyright Page

Contents

Preface to the First Edition

Preface to the Second Edition

Preface to the Third Edition

1 Introduction

1.1 Function of a structure

1.2 Loads

1.3 Structural systems

Beams

Trusses

Moment frames

Arches

Cables

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

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

Solutions to Chapter 2 Problems

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

Solutions to Chapter 3 Problems

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

Solutions to Chapter 4 Problems

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

Solutions to Chapter 5 Problems

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

Solutions to Chapter 6 Problems

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

Hooke's law and Young's 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

Solutions to Chapter 7 Problems

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)

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

Solutions to Chapter 8 Problems

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

Sign conventions and notation

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

Solutions to Chapter 9 Problems

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

Solutions to Chapter 10 Problems

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

Solutions to Chapter 11 Problems

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

Solutions to Chapter 12 Problems

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

Solutions to Chapter 13 Problems

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 Mohr's circle of stress

14.5 Stress trajectories

14.6 Determination of strains on inclined planes

14.7 Principal strains

14.8 Mohr's 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

Maximum normal stress theory

Solutions to Chapter 14 Problems

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

Solutions to Chapter 15 Problems

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

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

Solutions to Chapter 16 Problems

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

Solutions to Chapter 17 Problems

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph