Hydraulics In Exercises 41-44, determine the location of the horizontal axis y, at which a vertical gate in a dam is to be hinged so that there is no moment causing rotation under the indicated loading (see figure). The model for y, is ya = y hA where y is the y-coordinate of the centroid of the gate, I, is the moment of inertia of the gate about the line y = y, h is the depth of the centroid below the surface, and A is the area of the gate. -y=L y=y hA

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
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Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...
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Hydraulics In Exercises 41-44, determine the location of
the horizontal axis y, at which a vertical gate in a dam is to be
hinged so that there is no moment causing rotation under the
indicated loading (see figure). The model for y, is
Ya
Iy
hA
where y is the y-coordinate of the centroid of the gate, I, is the
moment of inertia of the gate about the line y = y, h is the depth
of the centroid below the surface, and A is the area of the gate.
44.
d
y = L
y = L
y = y
Ya=y-hA
y
Transcribed Image Text:Hydraulics In Exercises 41-44, determine the location of the horizontal axis y, at which a vertical gate in a dam is to be hinged so that there is no moment causing rotation under the indicated loading (see figure). The model for y, is Ya Iy hA where y is the y-coordinate of the centroid of the gate, I, is the moment of inertia of the gate about the line y = y, h is the depth of the centroid below the surface, and A is the area of the gate. 44. d y = L y = L y = y Ya=y-hA y
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