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" P I being the moment of inertia of the cross-section, and E the modulus of elasticity of the material. "
Elementary Applied Mechanics - Page 294
by Thomas Alexander - 1916 - 512 pages
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Elementary applied mechanics, by T. Alexander (and A.W. Thomson).

Thomas Alexander (civil engineer.) - 1883 - 456 pages
...through the point, is j E 7 ...... -.-.-•--.. / being the moment of inertia of the cross section, and E the modulus of elasticity of the material. Choosing...curvature at that point for a beam or a cantilever, — and if we wish this to correspond to the proof or working load, it is only necessary to make M0...
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A Manual of the Mechanics of Engineering and of the Construction of Machines ...

Julius Ludwig Weisbach - Mechanics, Applied - 1890 - 572 pages
...dimensions of the cross-sections may be determined from the formula WE where / is the length of the rod, W the moment of inertia of the cross-section, and E the modulus of elasticity of the material. With this formula we can employ a factor of safety of from 4 to 6, and may conveniently make use of...
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Elementary Practical Mathematics

Frank Castle - Mathematics - 1899 - 424 pages
...deflection of length l when subjected to a load W ; then S = eTJJ.. ................ (1) where / denotes the moment of inertia of the cross-section and E the modulus of elasticity. It is not only necessary that a beam or girder shall be of sufficient strength, but it must also be...
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Engineering Research Bulletin, Issues 11-20

University of Michigan. Office of Research Administration - Engineering - 1928 - 1424 pages
...work done must be equated to the increase in potential energy of the stressed cable. If A is the area of the cross-section and E the modulus of elasticity of the material of the cable, the initial tensile force at any cross-section of the ds cable is Hw ~ and the potential...
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