| 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... | |
| 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... | |
| 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... | |
| 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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