Examples in Structural Analysis

This second 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 the appropriate knowledge and understanding of the mathematical modelling, assumptions 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 analyses. What’s New in the Second Edition: New chapters cover the development and use of influence lines for determinate and indeterminate beams, as well as the use of approximate analyses for indeterminate pin-jointed and rigid-jointed plane-frames. This edition includes a rewrite of the chapter on buckling instability, expands on beams and on the use of the unit load method applied to singly redundant frames. The x-y-z co-ordinate system and symbols have been modified to reflect the conventions adopted in the structural Eurocodes. William M. C. McKenzie is also the author of six design textbooks relating to the British Standards and the Eurocodes for structural design and one structural analysis textbook. As a member of the Institute of Physics, he is both a chartered engineer and a chartered physicist and has been involved in consultancy, research and teaching for more than 35 years.

1. Structural Analysis and Design Introduction Equilibrium Mathematical Modelling Structural Loading Statical Indeterminacy Structural Degrees-of-Freedom 2. Material and Section Properties Introduction Elastic Cross-Section Properties Plastic Cross-Section Properties Example 2.1: Plastic Cross-section Properties - Section 1 Problems: Plastic Cross-section Properties Solutions: Plastic Cross-section Properties 3. Pin-Jointed Frames Introduction Method of Sections Method of Joint Resolution Method of Tension Coefficients Unit Load for Deflection Unit Load Method for Singly-Redundant Pin-Jointed Frames 4. Beams Statically Determinate Beams McCaulay’s Method for the Deflection of Beams Equivalent Uniformly Distributed Load Method for the Deflection of Beams The Principle of Superposition Unit Load for Deflection of Beams Statically Indeterminate Beams Moment Distribution Method for Multi-Redundant Beams Redistribution of Moments Shear Force and Bending Moment Envelopes 5. Rigid-Jointed Frames Rigid-Jointed Frames Unit Load Method for Singly-Redundant, Rigid-Jointed Frames Moment Distribution for No-Sway, Rigid-Jointed Frames Moment Distribution for Rigid-Jointed Frames with Sway 6. Buckling Instability Introduction Secondary Stresses Critical Stress Perry-Robertson Formula European Column Curves Example 6.1: Slenderness Example 6.2: Rolled Universal Column Section Example 6.3: Compound Column Section Built-up Compression Members Example 6.4: Laced Built-up Column Problems: Buckling Instability Solutions: Buckling Instability 7. Direct Stiffness Method Direct Stiffness Method of Analysis Element Stiffness Matrix Structural Stiffness Matrix Structural Load Vector Structural Displacement Vector Element Displacement Vector Element Force Vector Example 7.1: Two-span Beam Example 7.2: Rigid-Jointed Frame Problems: Direct Stiffness Method Solutions: Direct Stiffness Method 8. Plastic Analysis Introduction Static Method for Continuous Beams Kinematic Method for Continuous Beams Problems: Plastic Analysis - Continuous Beams Solutions: Plastic Analysis - Continuous Beams Rigid-Jointed Frames Problems: Plastic Analysis - Rigid-Jointed Frames Solutions: Plastic Analysis - Rigid-Jointed Frames Example 8.6: Joint Mechanism Problems: Plastic Analysis - Rigid-Jointed Frames Solutions: Plastic Analysis - Rigid-Jointed Frames Gable Mechanism Instantaneous Centre of Rotation Example 8.7: Pitched Roof Frame Problems: Plastic Analysis Rigid-Jointed Frames Solutions: Plastic Analysis Rigid-Jointed Frames 9. Influence Lines for Beams Introduction Example 9.1: Influence Lines for a Simply Supported Beam Müller-Breslau Principle for the Influence Lines for Beams Influence Lines for a Statically Determinate Beam Example 9.3: Influence Line for a Statically Indeterminate Beam The use of Influence Lines Example 9.6: Evaluation of Functions for a Statically Indeterminate Beam Train of Loads Problems: Influence Lines for Beams Solutions: Influence Lines for Beams 10. Approximate Methods of Analysis Introduction Example 10.1 - Statically Indeterminate Pin-jointed Plane Frame Example 10.2 - Statically Indeterminate Pin-jointed Plane Frame Example 10.3 - Statically Indeterminate Single-span Beam Example 10.4 – Multi-span Beam Rigid-jointed Frames Subjected to Vertical Loads Multi-storey, Rigid-jointed Frames Subjected to Horizontal Loads Appendices Index

William M. C. McKenzie is a lecturer in structural engineering at Edinburgh Napier University. He graduated with a 1st Class Honors degree and a Ph.D. from Heriot-Watt University, Edinburgh. He is also the author of six design textbooks relating to the British Standards and the Eurocodes for structural design and one structural analysis textbook. As a member of the Institute of Physics he is both a chartered engineer and a chartered physicist. McKenzie has presented numerous CPD courses/seminars and guest lectures to industry throughout the UK, in China, Singapore and Malaysia, in relation to the use of the Structural Eurocodes.