A Treatise On Analytical Statics With Numerous Examples volume 1
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In our eReader you can find the full English version of the book. Read A Treatise On Analytical Statics With Numerous Examples volume 1 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 A Treatise On Analytical Statics With Numerous Examples volume 1
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If the system be in three dimensions, the direction of S 12 may be unknown as well as its magnitude. In this case the components of $12 in two convenient directions may be used instead of $ 12 . Three displacements to supply three equations of virtual work will then be necessary.
234. Examples. Ex. 1. Six equal heavy rods, freely hinged at the ends, form a regular hexagon ABCDEF, which when hung up by the point A is kept from altering its shape by two light rods BF, CE. Prove that the thrusts o...f the rods BF, CE are as 5 to 1, and find their magnitudes. [Math. T. , 1874. ] Let the length of any side be 2a, and let be the angle which either of the upper sides makes with the vertical.
To find the thrust T of BF, we suppose the length of BF to be slightly increased. The inclinations of AB and AF to the vertical are therefore increased by dd. The work of the thrust T is Td (4asin 6). The work of the weights of the two upper rods is 2Wd(a cos 6). The centre of gravity of each of the four other rods is slightly raised, and the work of their weights is 4Wd (2a cos 0).
What to read after A Treatise On Analytical Statics With Numerous Examples volume 1?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If the system be in three dimensions, the direction of S 12 may be unknown as well as its magnitude. In this case the components of $12 in two convenient directions may be used instead of $ 12 . Three displacements to supply three equations of virtual work will then be necessary.
234. Examples. Ex. 1. Six equal heavy rods, freely hinged at the ends, form a regular hexagon ABCDEF, which when hung up by the point A is kept from altering its shape by two light rods BF, CE. Prove that the thrusts o...f the rods BF, CE are as 5 to 1, and find their magnitudes. [Math. T. , 1874. ] Let the length of any side be 2a, and let be the angle which either of the upper sides makes with the vertical.
To find the thrust T of BF, we suppose the length of BF to be slightly increased. The inclinations of AB and AF to the vertical are therefore increased by dd. The work of the thrust T is Td (4asin 6). The work of the weights of the two upper rods is 2Wd(a cos 6). The centre of gravity of each of the four other rods is slightly raised, and the work of their weights is 4Wd (2a cos 0).
What to read after A Treatise On Analytical Statics With Numerous Examples volume 1?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
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