The cover in the figure is hinged at the center O and has a fixed width w = 5 m. The equation of the surface is x = y2 / a (a = 3 m), the depth of the water to the right of the lid (D = 4 m). If the weight of the lid is neglected, it is necessary to keep the lid in balance. Find the size of the force (Fa) required, as shown. Take the density of the water as 999 kg / m3.

The cover in the figure is hinged at the center O and has a fixed width w = 5 m. The equation of the surface is x = y2 / a (a = 3 m), the depth of the water to the right of the lid (D = 4 m). If the weight of the lid is neglected, it is necessary to keep the lid in balance. Find the size of the force (Fa) required, as shown. Take the density of the water as 999 kg / m3.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

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Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.