etermine the location of the horizontal axis ya for figure (b) 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 (a)). The model for ya is ya = y- - Iy- / hA where y- is the y-coordinate of the centroid of the gate, Iy- 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
etermine the location of the horizontal axis ya for figure (b) 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 (a)). The model for ya is ya = y- - Iy- / hA where y- is the y-coordinate of the centroid of the gate, Iy- 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
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Determine the location of the horizontal axis ya for figure (b) 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 (a)). The model for ya is
ya = y- - Iy- / hA where y- is the y-coordinate of the centroid of the gate, Iy- 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.
![Determine the location of the horizontal axis y for figure (b) 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 (a)). The model for y is y=y- where is the y-coordinate
I,
hA
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
h
a
figure (a)
figure (b)
y = y
y₁ =y-
y = L
b
Iy
hA](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4fc8276-ad27-42b6-9c31-60320bfac928%2F0a07e86b-f6fd-499d-a688-5a8a0f0834dd%2Flslz0rn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine the location of the horizontal axis y for figure (b) 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 (a)). The model for y is y=y- where is the y-coordinate
I,
hA
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
h
a
figure (a)
figure (b)
y = y
y₁ =y-
y = L
b
Iy
hA
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