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History of Virtual Work Laws - A History of Mechanics Prospective (Hardcover, 2012)
Loot Price: R5,753
Discovery Miles 57 530
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History of Virtual Work Laws - A History of Mechanics Prospective (Hardcover, 2012)
Series: Science Networks. Historical Studies, 42
Expected to ship within 12 - 17 working days
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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.
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