If you want to explore this resource, I suggest you start by
clicking on either Programming in Maple or Programming in
Mathematica and then on to `Catalogue of Maple
files' or `Catalogue of Mathematica files'. If you have never used these methods to solve problems,
you will surprised how effective they are. You will however need
to have Mathematica or Maple installed on your computer system. Additional resources for Mathematica solutions of some elasticity problems can be found at http://documents.wolfram.com/applications/structural/. In particular, Chapters 3 and 4 of this resource apply to problems from Chapters 17 and 16 respectively of `Elasticity'.
In the first printing of the second edition, pages 30 and 300 were incorrectly left blank. The correct text for these pages, which contains problems 2:3 to 2:8 and problems 21.4, 21.5 respectively, can be downloaded at `Page 30' and`Page 300' .
If you find any other errors in the book or the electronic files, please let me know at email@example.com. You can download my most recent list of errata at `Errata'.
The second edition contains 223 end-of-chapter problems. These range from routine applications of the methods described in the chapter to quite challenging problems suitable for student projects. Most three dimensional problems are only really practicable when using Mathematica or Maple.
Problems 24.8 and 24.9 are more difficult than they look! This is because the tractions on the spherical surface due to the point force(s) cannot be written in terms of a finite Fourier series in beta. This contrasts with the corresponding cylindrical problems 12.1, 12.2, 12.3. In fact, these tractions are still weakly (logarithmically) singular, though the dominant singularity associated with the point force has been removed. They can be removed by an infinite series of spherical harmonics, but the series will be rather slowly convergent. A more rapidly convergent solution can be obtained by first removing the logarithmic singularity.
A solution manual is available, containing detailed solutions to all the problems, in some cases involving further discussion of the material and contour plots of the stresses etc. Bona fide instructors should contact me at firstname.lastname@example.org if they need the manual and I will send it out as zipped .pdf files. Please tell me which edition of the book you have.
WILLIAMS' ASYMPTOTIC METHOD
An analytical tool using MatLab has been developed for determining the nature of the stress and displacement fields near a fairly general singular point in linear elasticity. This is based on the method outlined in Section 11.2. For more information, click here.
TABLE OF CONTENTS
I have also taken the opportunity to include substantially more material in the second edition - notably three chapters on antiplane stress systems, including Saint-Venant torsion and bending and an expanded section on three-dimensional problems in spherical and cylindrical coordinate systems, including axisymmetric torsion of bars of non-uniform circular cross-section.
Finally, I have greatly expanded the number of end-of-chapter problems. Some of these problems are quite challenging, indeed several were the subject of substantial technical papers within the not too distant past, but they can all be solved in a few hours using Maple or Mathematica. A full set of solutions to these problems is in preparation and will be made available to bona fide instructors on request.
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