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" The line to which the distances are measured is called the inertia-axis / it may be taken anywhere in the plane of the area. In the subject of beams (where we have sometimes to compute the moment of inertia of the cross-section of a beam), the inertia-axis... "
Cyclopedia of Architecture, Carpentry and Building: Strength of materials ... - Page 56
1909
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Text-book on Hydraulics: Including an Outline of the Theory of Turbines

Leander Miller Hoskins - Hydraulic engineering - 1906 - 292 pages
...wF yy' sin 0 = w sin 0 . Jy 2 dF; from which y ~ yp f ffdF The numerator of this value is equal to the moment of inertia of the area with respect to the line in which its plane intersects the free surface of the water; the denominator is the statical moment...
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Cyclopedia of Civil Engineering: Statics; materials; roof trusses; cost analysis

American School (Lansing, Ill.) - Civil engineering - 1909 - 476 pages
...multiplying the area of each part by the square of its distance from some line is palled the uwinm<t of inertia of the area with respect to the line. The...to which the distances are measured is called the inertia-ama; it may be taken anywhere in the plane of the area. In the subject of beams (where we have...
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Strength of Materials

James Ellsworth Boyd - Strains and stresses - 1911 - 316 pages
...Inertia of a Plane Area.* — If dA is an element of an area at a distance r from some axis, / r2 dA is called the moment of inertia of the area with respect to the axis. If the axis lies in the plane of the area, the moment of inertia of the area is the same as that...
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Mechanics: A Textbook for Engineers

James Ellsworth Boyd - Mechanics, Applied - 1921 - 448 pages
...surface with the surface of the liquid is dM = wy*dA; (2) M = wfy*dA. (3) The integral of Equation (3) is the moment of inertia of the area with respect to the line of intersection with the surface of the liquid. M = wl. (4) If yc is the distance of the center of...
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