Hydrostatic Force on a Plane Surface
Two square gates close two openings in a conduit connected to an open tank of water as shown in Fig. P2.34. When the water depth, h, reaches 5 m it is desired thatboth gates open at the same time. Determine the weight of the homogeneous horizontal gate and the horizontal force, R, acting on the vertical gate that is requiredto keep the gates closed until this depth is reached. The weight of the vertical gate is negligible, and both gates are hinged at one end as shown. Friction in thehinges is negligible.
Homework Answers
T(weight)=2W (weight acts in the centre of the plate)
Pressure due to water at the gate=pg(5-3)
This force also acts in the centre of the gate.
2W=1000*10*2*16*2
W=320000 N
For vertical gate
T net due to pressure around the hinge =integral of (pgh*4*(9-h)) from 5 to 9.
T net=2026666.66
R*4 =2026666.66
R=506666.66 N
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If the weight of the gate is assumed negligible, what is the
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A homogeneous, 4-ft-wide, 8-ft-long rectangular gate weighing
800 lb is held in place by a horizontal flexible cable as shown in
the figure. Water acts against the gate which is hinged at point A.
Friction in the hinge is negligible. Determine the tension in the
cable.
A homogeneous, 4-ft-wide, 8-ft-long rectangular gate weighing 800 lb is held in place by a horizontal flexible cable as shown in the figure. Water acts against the gate which is hinged at point A....
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A
rectangular gate that is 2m wide is located in the vertical wall of
a tank containing water as shown in the figure at the right copied
from the text. It’s desired to have the gate open automatically
when the depth of the water above the top of the gate reaches 10m.
Please answer the following: a) At what distance, d, should the
frictionless horizontal shaft be located? b) What is the magnitude
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A homogeneous, 4-ft-wide, 16-ft-long rectangular gate weighing 1000 lb is held in place by a horizontal flexible cable as shown in the Fig. P2.87. Water acts against the gate which is hinged at...
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If the weight of the gate is assumed negligible, what is the
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based on problem 2.49 in text A semicircular gate is installed in the side of water storage reservoir that is at angle of 0=60 reservoir. The depth of water in the tank is H...
A homogeneous, 4-ft-wide, 8-ft-long rectangular gate weighing
800 lb is held in place by a horizontal flexible cable as shown in
the figure. Water acts against the gate which is hinged at point A.
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A homogeneous, 4-ft-wide, 8-ft-long rectangular gate weighing 800 lb is held in place by a horizontal flexible cable as shown in the figure. Water acts against the gate which is hinged at point A....
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rectangular gate that is 2m wide is located in the vertical wall of
a tank containing water as shown in the figure at the right copied
from the text. It’s desired to have the gate open automatically
when the depth of the water above the top of the gate reaches 10m.
Please answer the following: a) At what distance, d, should the
frictionless horizontal shaft be located? b) What is the magnitude
of the force on the gate when...
An open tank has a vertical partition and on one side contains gasoline with a density p = 770 kg/m3 at a depth of 8.7 m, as shown in the figure below. A rectangular gate that is 8.7 m high and 2 m wide and hinged at one end is located in the partition. Water is slowly added to the empty side of the tank. At what depth, h, will the gate start to open? -Partition Stop 8.7m Water Gasoline...
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