Theoretical Mechanics: An Elementary Text-book
Theoretical Mechanics: An Elementary Text-book
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In our eReader you can find the full English version of the book. Read Theoretical Mechanics: An Elementary Text-book Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Theoretical Mechanics: An Elementary Text-book
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Principle of Virtual Work.— The work done by a force during a supposed (or virtual) displacement of its point of application is called its virtual work. The principle of Art. 369 may therefore be stated as follows : If a system of concurrent forces is in equilibrium^ the algebraic sum of their virtual works is zero for any possible displacement.
In applying this principle, it is common to assume the displace- ment to be infinitesimal. This is not necessary, however, if the forces are assumed to... remain constant in magnitude and direction through- out the displacement.
372. Conditions of Equilibrium.— The conditions of equilibrium for concurrent forces may be deduced from the principle of virtual work.
Let A (Fig. 159) be the point of application of several forces in equilibrium, and let it receive a displacement AB = h. The work done by a force of magnitude Py acting in a direction inclined at angle \,o AB,\& Ph cos 0. For any number of forces, /\, y,, WORK AND ENERGY. 319 . . . , acting at angles 0^,0^, .
What to read after Theoretical Mechanics: An Elementary Text-book?
You can find similar books in the "Read Also" column, or choose other free books by Hoskins, Leander Miller, 1860- to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Principle of Virtual Work.— The work done by a force during a supposed (or virtual) displacement of its point of application is called its virtual work. The principle of Art. 369 may therefore be stated as follows : If a system of concurrent forces is in equilibrium^ the algebraic sum of their virtual works is zero for any possible displacement.
In applying this principle, it is common to assume the displace- ment to be infinitesimal. This is not necessary, however, if the forces are assumed to... remain constant in magnitude and direction through- out the displacement.
372. Conditions of Equilibrium.— The conditions of equilibrium for concurrent forces may be deduced from the principle of virtual work.
Let A (Fig. 159) be the point of application of several forces in equilibrium, and let it receive a displacement AB = h. The work done by a force of magnitude Py acting in a direction inclined at angle \,o AB,\& Ph cos 0. For any number of forces, /\, y,, WORK AND ENERGY. 319 . . . , acting at angles 0^,0^, .
What to read after Theoretical Mechanics: An Elementary Text-book?
You can find similar books in the "Read Also" column, or choose other free books by Hoskins, Leander Miller, 1860- to read onlineMoreLess
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