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Examples in Structural Analysis 3rd edition [Paperback / softback]

, (Napier University, Edinburgh)
  • Format: Paperback / softback, 952 pages, height x width: 254x178 mm, weight: 1540 g, 90 Tables, black and white; 1500 Line drawings, black and white; 1500 Illustrations, black and white
  • Pub. Date: 19-Dec-2022
  • Publisher: CRC Press
  • ISBN-10: 1032049367
  • ISBN-13: 9781032049366
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Examples in Structural Analysis 3rd editionLarger Image
  • Format: Paperback / softback, 952 pages, height x width: 254x178 mm, weight: 1540 g, 90 Tables, black and white; 1500 Line drawings, black and white; 1500 Illustrations, black and white
  • Pub. Date: 19-Dec-2022
  • Publisher: CRC Press
  • ISBN-10: 1032049367
  • ISBN-13: 9781032049366
Other books in subject:
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"This third edition of Examples in Structural Analysis uses a step-by-step approach and provides an extensive collection of fully worked and graded examples for a wide variety of structural analysis problems. It presents detailed information on the methods of solutions to problems and the results obtained. Also given within the text is a summary of each of the principal analysis techniques inherent in the design process and where appropriate, an explanation of the mathematical models used. The text emphasises that software should only be used if designers have appropriate knowledge and understanding of the mathematical assumptions, modelling and limitations inherent in the programs they use. It establishes the use of hand-methods for obtaining approximate solutions during preliminary design and an independent check on the answers obtained from computer analysis. What is New in the Third Edition: A new chapter covers the analysis and design of cables and arches subjected to concentrated loads and uniformly distributed loads. For cables without or with simply supported pinned trusses or steel girder beams through equally spaced hangers, tension forces, support reactions, sags and slopes in cables are determined. For two-pinned or three-pinned arches with parabolic, arched and semi-circular shapes, axial forces, radial shear forces and bending moments at various sections of arches are determined. An existing chapter has been expanded to the construction and use of influence lines for pin-pointed trusses andlattice girders. Also, the chapter Direct Stiffness Methods has been revisited and amended"--

This code-independent and comprehensive collection of fully worked and graded examples shows undergraduates how to analyse different types of structure, with the main analysis techniques, with some detailed mathematics. Now with pin-jointed frames and arches and cables, with more on the direct stiffness method and influence lines for beams.

Preface xiii
Acknowledgements xv
About the Authors xvii
1 Structural Analysis and Design
1(22)
1.1 Introduction
1(1)
1.2 Equilibrium
1(3)
1.3 Mathematical Modelling
4(5)
1.3.1 Line Diagrams
4(3)
1.3.2 Load Path
7(1)
1.3.3 Foundations
8(1)
1.4 Structural Loading
9(2)
1.5 Statical Indeterminacy
11(7)
1.5.1 Indeterminacy of Two-Dimensional Pin-Jointed Frames
11(4)
1.5.2 Indeterminacy of Two-Dimensional Rigid-Jointed Frames
15(3)
1.6 Structural Degrees-of-Freedom
18(5)
1.6.1 Problems: Indeterminacy and Degrees-of-Freedom
21(1)
1.6.2 Solutions: Indeterminacy and Degrees-of-Freedom
22(1)
2 Material and Section Properties
23(39)
2.1 Introduction
23(5)
2.1.1 Simple Stress and Strain
23(2)
2.1.2 Young's Modulus (Modulus of Elasticity) -- E
25(1)
2.1.3 Secant Modulus -- Es
25(1)
2.1.4 Tangent Modulus -- Et
25(1)
2.1.5 Shear Rigidity or Modulus (Modulus of Rigidity) -- G
26(1)
2.1.6 Yield Strength
26(1)
2.1.7 Ultimate Tensile Strength
26(1)
2.1.8 Modulus of Rupture in Bending
26(1)
2.1.9 Modulus of Rupture in Torsion
26(1)
2.1.10 Poisson's Ratio -- υ
27(1)
2.1.11 Coefficient of Thermal Expansion -- α
27(1)
2.1.12 Elastic Assumptions
27(1)
2.2 Elastic Cross-Section Properties
28(23)
2.2.1 Cross-Sectional Area
28(4)
2.2.2 Centre of Gravity and Centroid
32(6)
2.2.3 Problems: Cross-Sectional Area and Position of Centroid
38(1)
2.2.4 Solutions: Cross-Sectional Area and Position of Centroid
39(1)
2.2.5 Elastic Neutral Axes
40(1)
2.2.6 Second Moment of Area -- I and Radius of Gyration -- i
41(1)
2.2.6.1 The Parallel Axis Theorem
41(2)
2.2.7 Elastic Section Modulus -- Wel
43(2)
3.2.8 Problems: Second Moments of Area and Elastic Section Moduli
45(1)
2.2.9 Solutions: Second Moments of Area and Elastic Section Moduli
45(6)
2.3 Plastic Cross-Section Properties
51(5)
2.3.1 Stress-Strain Relationships
51(1)
2.3.2 Plastic Neutral Axis
52(1)
2.3.3 Evaluation of Plastic Moment of Resistance and Plastic Section Modulus
53(1)
2.3.4 Shape Factor
54(1)
2.3.5 Section Classification
54(1)
2.3.5.1 Aspect Ratio
54(1)
2.3.5.2 Type of Section
55(1)
2.4 Example 2.1: Plastic Cross-Section Properties -- Section 1
56(1)
2.5 Problems: Plastic Cross-Section Properties
57(1)
2.6 Solutions: Plastic Cross-Section Properties
58(4)
3 Pin-Jointed Frames
62(95)
3.1 Introduction
62(1)
3.2 Method of Sections
62(3)
3.2.1 Example 3.1: Pin-Jointed Truss
62(3)
3.3 Method of Joint Resolution
65(28)
3.3.1 Problems: Method of Sections and Joint Resolution
67(2)
3.3.2 Solutions: Method of Sections and Joint Resolution
69(24)
3.4 Method of Tension Coefficients
93(20)
3.4.1 Example 3.2: Two-Dimensional Plane Truss
94(1)
3.4.2 Example 3.3: Three-Dimensional Space Truss
95(3)
3.4.3 Problems: Method of Tension Coefficients
98(3)
3.4.4 Solutions: Method of Tension Coefficients
101(12)
3.5 Unit Load for Deflection
113(22)
3.5.1 Strain Energy (Axial Load Effects)
113(1)
3.5.2 Castigliano's 2nd Theorem
114(2)
3.5.3 Example 3.4: Deflection of a Pin-Jointed Truss
116(4)
3.5.3.1 Fabrication Errors -- Lack-of-Fit
120(1)
3.5.3.2 Changes in Temperature
120(1)
3.5.4 Example 3.5: Lack-of-Fit and Temperature Difference
120(2)
3.5.5 Problems: Unit Load Method for Deflection of Pin-Jointed Frames
122(1)
3.5.6 Solutions: Unit Load Method for Deflection of Pin-Jointed Frames
123(12)
3.6 Unit Load Method for Singly Redundant Pin-Jointed Frames
135(22)
3.6.1 Example 3.6: Singly Redundant Pin-Jointed Frame 1
135(2)
3.6.2 Example 3.7: Singly Redundant Pin-Jointed Frame 2
137(3)
3.6.3 Problems: Unit Load for Singly Redundant Pin-Jointed Frames
140(1)
3.6.4 Solutions: Unit Load for Singly Redundant Pin-Jointed Frames
141(16)
4 Beams
157(161)
4.1 Statically Determinate Beams
157(26)
4.1.1 Example 4.1: Beam with Point Loads
157(2)
4.1.2 Shear Force Diagrams
159(4)
4.1.3 Bending Moment Diagrams
163(4)
4.1.4 Example 4.2: Beam with a Uniformly Distributed Load (UDL)
167(2)
4.1.5 Example 4.3: Cantilever Beam
169(1)
4.1.6 Problems: Statically Determinate Beams -- Shear Force and Bending Moment
170(3)
4.1.7 Solutions: Statically Determinate Beams -- Shear Force and Bending Moment
173(10)
4.2 McCaulay's Method for the Deflection of Beams
183(6)
4.2.1 Example 4.4: Beam with Point Loads
184(2)
4.2.2 Example 4.5: Beam with Combined Point Loads and UDLs
186(3)
4.3 Equivalent Uniformly Distributed Load Method for the Deflection of Beams
189(13)
4.3.1 Problems: McCaulay's and Equivalent UDL Methods for Deflection of Beams
191(1)
4.3.2 Solutions: McCaulay's and Equivalent UDL Methods for Deflection of Beams
192(10)
4.4 The Principle of Superposition
202(6)
4.4.1 Example 4.6: Superposition -- Beam 1
203(1)
4.4.2 Example 4.7: Superposition -- Beam 2
204(1)
4.4.3 Example 4.8: Superposition -- Beam 3
205(1)
4.4.4 Example 4.9: Superposition -- Beam 4
206(1)
4.4.5 Example 4.10: Superposition -- Beam 5
207(1)
4.5 Unit Load for Deflection of Beams
208(44)
4.5.1 Strain Energy (Bending Load Effects)
208(3)
4.5.2 Example 4.11: Deflection and Slope of a Uniform Cantilever
211(1)
4.5.3 Example 4.12: Deflection and Slope of a Non-Uniform Cantilever
212(2)
4.5.4 Example 4.13: Deflection and Slope of a Linearly Varying Cantilever
214(2)
4.5.5 Example 4.14: Deflection of a Non-Uniform Simply-Supported Beam
216(2)
4.5.6 Example 4.15: Deflection of a Frame and Beam Structure
218(3)
4.5.7 Example 4.16: Deflection of a Uniform Cantilever Using Coefficients
221(1)
4.5.8 Problems: Unit Load Method for Deflection of Beams and Frames
222(3)
4.5.9 Solutions: Unit Load Method for Deflection of Beams and Frames
225(27)
4.6 Statically Indeterminate Beams
252(17)
4.6.1 Unit Load Method for Singly Redundant Beams
253(1)
4.6.2 Example 4.17: Singly Redundant Beam 1
253(2)
4.6.3 Example 4.18: Singly Redundant Beam 2
255(3)
4.6.4 Problems: Unit Load Method for Singly Redundant Beams
258(1)
4.6.5 Solutions: Unit Load Method for Singly Redundant Beams
259(10)
4.7 Moment Distribution Method for Multi-Redundant Beams
269(45)
4.7.1 Bending (Rotational) Stiffness
269(1)
4.7.2 Carry-Over Moment
270(1)
4.7.3 Pinned End
270(1)
4.7.4 Free and Fixed Bending Moments
271(1)
4.7.5 Example 4.19: Single-Span Encastre Beam
272(2)
4.7.6 Propped Cantilevers
274(1)
4.7.7 Example 4.20: Propped Cantilever
275(3)
4.7.8 Distribution Factors
278(1)
4.7.9 Application of the Method
279(1)
4.7.10 Example 4.21: Three-Span Continuous Beam
280(9)
4.7.11 Problems: Moment Distribution -- Continuous Beams
289(1)
4.7.12 Solutions: Moment Distribution -- Continuous Beams
290(24)
4.8 Redistribution of Moments
314(3)
4.8.1 Example 4.22: Redistribution of Moments in a Two-Span Beam
314(3)
4.9 Shear Force and Bending Moment Envelopes
317(1)
5 Rigid-Jointed Frames
318(144)
5.1 Rigid-Jointed Frames
318(24)
5.1.1 Example 5.1: Statically Determinate Rigid-Jointed Frame 1
319(4)
5.1.2 Example 5.2: Statically Determinate Rigid-Jointed Frame 2
323(5)
5.1.3 Problems: Statically Determinate Rigid-Jointed Frames
328(2)
5.1.4 Solutions: Statically Determinate Rigid-Jointed Frames
330(12)
5.2 Unit Load Method for Singly Redundant Rigid-Jointed Frames
342(26)
5.2.1 Example 5.3: Singly Redundant Rigid-Jointed Frame
344(6)
5.2.2 Problems: Unit Load Method for Singly Redundant Rigid-Jointed Frames
350(2)
5.2.3 Solutions: Unit Load Method for Singly Redundant Rigid-Jointed Frames
352(16)
5.3 Moment Distribution for No-Sway Rigid-Jointed Frames
368(47)
5.3.1 Example 5.4: No-Sway Rigid-Jointed Frame 1
370(6)
5.3.2 Problems: Moment Distribution -- No-Sway Rigid-Jointed Frames
376(2)
5.3.3 Solutions: Moment Distribution -- No-Sway Rigid-Jointed Frames
378(37)
5.4 Moment Distribution for Rigid-Jointed Frames with Sway
415(47)
5.4.1 Example 5.5: Rigid-Jointed Frame with Sway -- Frame 1
417(10)
5.4.2 Problems: Moment Distribution -- Rigid-Jointed Frames with Sway
427(2)
5.4.3 Solutions: Moment Distribution -- Rigid-Jointed Frames with Sway
429(33)
6 Buckling Instability
462(54)
6.1 Introduction
462(7)
6.1.1 Local Buckling
462(2)
6.1.1.1 Class 1 Sections
464(1)
6.1.1.2 Class 2 Sections
465(1)
6.1.1.3 Class 3 Sections
466(1)
6.1.1.4 Class 4 Sections
466(1)
6.1.1.5 Section Classification
466(1)
6.1.2 Flexural Buckling
467(1)
6.1.2.1 Short Elements
467(1)
6.1.2.2 Slender Elements
468(1)
6.1.2.3 Intermediate Elements
468(1)
6.2 Secondary Stresses
469(1)
6.2.1 Effect on Short Elements
470(1)
6.2.2 Effect on Slender Elements
470(1)
6.2.3 Effect on Intermediate Elements
470(1)
6.3 Critical Stress (σcr)
470(6)
6.3.1 Critical Stress for Short Columns
471(1)
6.3.2 Critical Stress for Slender Columns
471(1)
6.3.3 Euler Equation
471(2)
6.3.4 Effective Buckling Length (LE)
473(2)
6.3.5 Critical Stress for Intermediate Columns
475(1)
6.3.6 Tangent Modulus Theorem
475(1)
6.4 Perry-Robertson Formula
476(3)
6.5 European Column Curves
479(8)
6.5.1 Non-dimensional Slenderness
480(7)
6.6 Example 6.1: Slenderness
487(1)
6.7 Example 6.2: Rolled Universal Column Section
487(3)
6.8 Example 6.3: Compound Column Section
490(2)
6.9 Built-Up Compression Members
492(4)
6.9.1 Shear Stiffness for Laced Columns
494(2)
6.10 Example 6.4: Laced Built-Up Column
496(5)
6.11 Problems: Buckling Instability
501(3)
6.12 Solutions: Buckling Instability
504(12)
7 Direct Stiffness Method
516(107)
7.1 Direct Stiffness Method of Analysis
516(1)
7.2 Element Stiffness Matrix [ k]
516(9)
7.2.1 Beam Elements with Two Degrees-of-Freedom
517(1)
7.2.2 Beam Elements with Four Degrees-of-Freedom
518(5)
7.2.3 Local Co-Ordinate System
523(1)
7.2.4 Beams Elements with Six Degrees-of-Freedom
523(2)
7.3 Structural Stiffness Matrix [ K]
525(3)
7.4 Structural Load Vector [ P]
528(2)
7.5 Structural Displacement Vector [ Δ]
530(1)
7.6 Element Displacement Vector [ δl]
530(1)
7.7 Element Force Vector [ F]Total
531(1)
7.8 Example 7.1: Two-Span Beam
531(6)
7.9 Example 7.2: Rigid-Jointed Frame 1
537(9)
7.10 Transformation Matrices
546(4)
7.11 Example 7.3: Rigid-Jointed Frame 2
550(14)
7.12 Example 7.4: Pin-Jointed Frame
564(8)
7.13 Problems: Direct Stiffness Method
572(2)
7.14 Solutions: Direct Stiffness Method
574(49)
8 Plastic Analysis
623(133)
8.1 Introduction
623(2)
8.1.1 Partial Collapse
624(1)
8.1.2 Conditions for Full Collapse
624(1)
8.2 Static Method for Continuous Beams
625(3)
8.2.1 Example 8.1: Encastre Beam
625(1)
8.2.2 Example 8.2: Propped Cantilever 1
626(1)
8.2.3 Example 8.3: Propped Cantilever 2
627(1)
8.3 Kinematic Method for Continuous Beams
628(7)
8.3.1 Example 8.4: Continuous Beam
631(4)
8.4 Problems: Plastic Analysis -- Continuous Beams
635(1)
8.5 Solutions: Plastic Analysis -- Continuous Beams
636(18)
8.6 Rigid-Jointed Frames
654(7)
8.6.1 Example 8.5: Frame 1
654(7)
8.7 Problems: Plastic Analysis -- Rigid-Jointed Frames 1
661(1)
8.8 Solutions: Plastic Analysis -- Rigid-Jointed Frames 1
662(17)
8.9 Example 8.6: Joint Mechanism
679(4)
8.10 Problems: Plastic Analysis -- Rigid-Jointed Frames 2
683(2)
8.11 Solutions: Plastic Analysis -- Rigid-Jointed Frames 2
685(31)
8.12 Gable Mechanism
716(1)
8.13 Instantaneous Centre of Rotation
717(1)
8.14 Example 8.7: Pitched Roof Frame
718(4)
8.15 Problems: Plastic Analysis -- Rigid-Jointed Frames 3
722(2)
8.16 Solutions: Plastic Analysis -- Rigid-Jointed Frames 3
724(32)
9 Influence Lines for Beams, Pin-Jointed Trusses and Lattice Girders
756(50)
9.1 Introduction
756(1)
9.2 Example 9.1: Influence Lines for a Simply Supported Beam
757(6)
9.2.1 Influence Lines for the Support Reactions
757(1)
9.2.2 Influence Line for the Shear Force at Point B
758(2)
9.2.3 Influence Line for the Bending Moment at Point B
760(3)
9.3 Muller-Breslau Principle for the Influence Lines for Beams
763(1)
9.4 Example 9.2: Influence Lines for a Statically Determinate Beam
763(2)
9.5 Example 9.3: Influence Line for a Statically Indeterminate Beam
765(2)
9.6 The Use of Influence Lines
767(4)
9.6.1 Concentrated Loads
767(1)
9.6.2 Distributed Loads
767(1)
9.6.3 Example 9.4: Evaluation of Functions for Statically Determinate Beam 1
768(1)
9.6.4 Example 9.5: Evaluation of Functions for Statically Determinate Beam 2
769(2)
9.7 Example 9.6: Evaluation of Functions for a Statically Indeterminate Beam
771(3)
9.8 Train of Loads
774(4)
9.8.1 Example 9.7: Evaluation of Functions for a Train of Loads
775(3)
9.9 Influence Lines for Pin-Jointed Trusses and Lattice Girders
778(6)
9.9.1 Example 9.8: Lattice Girder
779(5)
9.10 Problems: Influence Lines for Beams, Pin-Jointed Trusses and Lattice Girders
784(3)
9.11 Solutions: Influence Lines for Beams, Pin-Jointed Trusses and Lattice Girders
787(19)
10 Approximate Methods of Analysis
806(37)
10.1 Introduction
806(1)
10.2 Example 10.1: Statically Indeterminate Pin-Jointed Plane Frame 1
806(4)
10.3 Example 10.2: Statically Indeterminate Pin-Jointed Plane Frame 2
810(2)
10.4 Example 10.3: Statically Indeterminate Single-Span Beam
812(2)
10.5 Example 10.4: Multi-Span Beam
814(2)
10.6 Rigid-Jointed Frames Subjected to Vertical Loads
816(11)
10.6.1 Example 10.5: Multi-Storey Rigid-Jointed Frame 1
816(6)
10.6.2 Approximate Analysis of Multi-Storey Rigid-Jointed Frames Using Sub-Frames
822(1)
10.6.2.1 Simplification into Sub-Frames
822(1)
10.6.2.2 Alternative Simplification for Individual Beams and Associated Columns
823(1)
10.6.2.3 `Continuous Beam' Simplification
823(1)
10.6.2.4 Asymmetrically Loaded Columns
823(1)
10.6.3 Simple Portal Frames with Pinned Bases Subjected to Horizontal Loads
824(1)
10.6.3.1 Example 10.6: Simple Rectangular Portal Frame -- Pinned Bases
824(1)
10.6.4 Simple Portal Frames with Fixed Bases Subjected to Horizontal Loads
825(1)
10.6.4.1 Example 10.7: Simple Rectangular Portal Frame -- Fixed Bases
826(1)
10.7 Multi-Storey Rigid-Jointed Frames Subjected to Horizontal Loads
827(16)
10.7.1 Portal Method
827(1)
10.7.1.1 Example 10.8: Multi-Storey Rigid-Jointed Frame 2
828(8)
10.7.1.2 Approximate Analysis of Vierendeel Trusses Using the Portal Method
836(1)
10.7.1.3 Example 10.9: Vierendeel Truss
837(3)
10.7.2 Cantilever Method
840(1)
10.7.2.1 Example 10.10: Multi-Storey Rigid-Jointed Frame 3
841(2)
11 Cables and Arches
843(85)
11.1 Introduction to Cables
843(1)
11.2 Types of Cable
843(1)
11.3 Cables Subjected to Concentrated Loads
843(2)
11.4 Example 11.1: Cable Subjected to Concentrated Loads
845(2)
11.5 Example 11.2: Cable Subjected to Concentrated Loads with Uneven Supports
847(3)
11.6 Problems: Cables Subjected to Concentrated Loads
850(2)
11.7 Solutions: Cables Subjected to Concentrated Loads
852(8)
11.8 Cables Subjected to Uniformly Distributed Loads
860(2)
11.9 Example 11.3: Cable Subjected to Uniformly Distributed Load
862(2)
11.10 Example 11.4: Cable Subjected to UDL from the Simply Supported Beam
864(3)
11.11 Problems: Cables Subjected to Uniformly Distributed Loads
867(5)
11.12 Solutions: Cables Subjected to Uniformly Distributed Loads
872(14)
11.13 Introduction to Arches
886(2)
11.14 Example 11.5: Three-Pinned Segmental Arch
888(4)
11.15 Example 11.6: Two-Pinned Parabolic Arch
892(5)
11.16 Example 11.7: Two-Pinned Semi-Circular Arch
897(6)
11.17 Problems: Arches
903(3)
11.18 Solutions: Arches
906(22)
Appendix 1 Elastic Section Properties of Geometric Figures 928(5)
Appendix 2 Beam Reactions, Bending Moments and Deflections 933(7)
Appendix 3 Matrix Algebra 940(4)
Index 944
Dr William M. C. McKenzie is also the author of six design textbooks relating to both the British Standards and the structural Eurocodes for structural design of various construction materials and members, e.g. steel, concrete, masonry and timber, and one structural analysis textbook. As a member of the Institute of Physics, he was both a Chartered Engineer and a Chartered Physicist and had been largely involved in teaching, research and consultancy for more than 40 years.

Professor Binsheng Zhang has been working at Tongji University and three Scottish universities since completing PhD in 1987 and his teaching, research and consultancy interests include design, analysis and modelling of concrete, timber and steel structures, construction materials technology, dynamic performance of structures, and tests on mechanical properties and structural performances of construction materials and members under various loading and extreme environmental conditions. He has published 3 textbooks and over 100 technical papers.