The tank in the figure is open to the environment and divided into two compartments, connected by the flat gate C-D (2 m long), which can rotate around C. In the compartment on the left there is a level of 4.30 m of water at 20°C, which makes gate C-D remain in equilibrium (that is, Rx = 0 in D), compensating for the effect of the penstock's own weight (9000 N/m2), as well as the hydrostatic force caused by water from the compartment on the right. Under these conditions and knowing that the deposit has a width of 1 meter, calculate: a) The water level, H, in the compartment on the right, b) The reactions in the supports of the gate A-B, knowing that the gate can rotate on support A, and is simply supported in b h=4.30 m D RD = 0 45° L = 2m C H A B R=1.5 m

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The tank in the figure is open to the environment and divided into two compartments, connected by
the flat gate C-D (2 m long), which can rotate around C. In the compartment on the left there is a
level of 4.30 m of water at 20°C, which makes gate C-D remain in equilibrium (that is, Rx = 0 in D),
compensating for the effect of the penstock's own weight (9000 N/m2), as well as the hydrostatic
force caused by water from the compartment on the right. Under these conditions and knowing that
the deposit has a width of 1 meter, calculate:
a) The water level, H, in the compartment on the right,
b) The reactions in the supports of the gate A-B, knowing that the gate can rotate on support A, and
is simply supported in b
h=4.30 m
D
RD=0
45°
L = 2m
C
H
A
B
R=1.5 m
Transcribed Image Text:The tank in the figure is open to the environment and divided into two compartments, connected by the flat gate C-D (2 m long), which can rotate around C. In the compartment on the left there is a level of 4.30 m of water at 20°C, which makes gate C-D remain in equilibrium (that is, Rx = 0 in D), compensating for the effect of the penstock's own weight (9000 N/m2), as well as the hydrostatic force caused by water from the compartment on the right. Under these conditions and knowing that the deposit has a width of 1 meter, calculate: a) The water level, H, in the compartment on the right, b) The reactions in the supports of the gate A-B, knowing that the gate can rotate on support A, and is simply supported in b h=4.30 m D RD=0 45° L = 2m C H A B R=1.5 m
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