Science Networks. Historical Studies

History of Virtual Work Laws

A History of Mechanics Prospective

Authors: Capecchi, Danilo

  • It gives a particular view of mechanics
  • It is one of the few books focused on fundaments of western mechanics
  • The book is vey rich of original quotations
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  • ISBN 978-88-470-2056-6
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About this book

The book presents a history of classical mechanics by focusing on issues of equilibrium. The historical point of view adopted here restricts attention to cases where the effectiveness of forces is assessed on the basis of the virtual motion of their points of application. For completeness, hints of the alternative approach are also referred, the Archimedean for ancient mechanics and the Newtonian for modern mechanics. The laws resulting from consideration of virtual motions are named laws of virtual work. The modern formulations of the principle of virtual work are only a particular form of them.

The book begins with the first documented formulations of laws of virtual work in the IV century BC in Greece and proceeds to the end of the XIX century AD in Europe. A significant space is devoted to Arabic and Latin mechanics of Middle Ages. With the Renaissance it began to appear slightly different wordings of the laws, which were often proposed as unique principles of statics. The process reached its apex with Bernoulli and Lagrange in the XVIII century. The book ends with some chapters dealing with the discussions that took place in the French school on the role of the Lagrangian version of the law of virtual work and its applications to continuum mechanics.

About the authors

Danilo Capecchi is full professor of mechanics of solids and of history of science at the University of Rome La Sapienza (Italy). His researches in the history of science mainly concern classical mechanics.

Reviews

From the reviews:

“The book under review is a survey work that covers the whole span of history from antiquity to the middle of the nineteenth century … . a substantial contribution to the history of physical science and will become a standard reference source for the history of mechanics. … Throughout the book there are quotations and passages from primary sources, translated into English. … The bibliography contains extensive references to the secondary literature … .” (Craig G. Fraser, Mathematical Reviews, June, 2013)

Table of contents (18 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-88-470-2056-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-88-470-2055-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
History of Virtual Work Laws
Book Subtitle
A History of Mechanics Prospective
Authors
Series Title
Science Networks. Historical Studies
Series Volume
42
Copyright
2012
Publisher
Springer-Verlag Mailand
Copyright Holder
Springer Milan
eBook ISBN
978-88-470-2056-6
DOI
10.1007/978-88-470-2056-6
Hardcover ISBN
978-88-470-2055-9
Series ISSN
1421-6329
Edition Number
1
Number of Pages
XII, 492
Topics