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
What is the resultant hydrostatic force on the gate? What is the distance of the line...
What is the resultant hydrostatic force on the gate?
What is the distance of the line of action (or the center of
pressure) of the resultant hydrostatic from the shaft?
If the weight of the gate is assumed negligible, what is the
magnitude of the force
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, 16-ft-long rectangular gate weighing 1000 lb is held in place by a horizontal...
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
point A. Friction in the hinge is negligible. Determine the
tension in the cable.
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...
A rectangular gate that is 2m wide is located in the vertical wall of a tank...
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
of the force on the gate when...
An open tank has a vertical partition and on one side contains gasoline with a density...
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...
An open tank has a vertical partition and on one side contains gasoline with a density...
An open tank has a vertical partition and on one side contains gasoline with a density p-580 kg/m at a depth of 4.6 m, as shown in the figure below. A rectangular gate that is 4.6 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? Assumeh 46 m. Partition Concepts: The pressure...
8. An open tank has a vertical partition and on one side contains gasoline with a...
8. An open tank has a vertical partition and on one side contains gasoline with a density p = 700 kg/m3 at a depth of 4 m, as shown in Figure 8. A rectangular gate that is 4 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?
11. Determine ddistance of the hydrostatic force from hinge 11. SMTKN 81.757 kN 12. Compute weight...
11. Determine ddistance of the hydrostatic force from hinge 11. SMTKN 81.757 kN 12. Compute weight "w", fastened to the center of the gate, is necessary barely to keep the gate from opening. What will be the resultant reaction at the hinge 13. SITUATIONS A cylindrical log having a diameter of 2m and a length of 4m is placed in the position shown in figure below. Sp. Gr. of ol is 0.8. Determine Vertical component of the force acting on...
correct answer please A plane gate of uniform thickness holds back a depth of water as...
correct answer please
A plane gate of uniform thickness holds back a depth of water as shown. Find the minimum weight needed to keep the gate closed. 30 -0.483 m Water w=0.532 m 1523.21 The gate shown is hinged at . The gate is 3 m wide normal to the plane of the diagram. Calculate the force required at A to hold the gate closed. 0.69 m 2.0 m Water 135.093
A water gate is shown below. The gate is hinged at the top (point A) and...
A water gate is shown below. The gate is hinged at the top (point A) and held in place with a stop at the bottom. The weight W is designed to counteract the hydrostatic force acting on the gate. The gate is 4 m high and 2 m wide. The water depth d = 5m. Answer the questions below, using a water density of 1000 kg/m3, and g = 9.81 m/s2. Calculate the average hydrostatic pressure acting on the gate....
Problem 3: A plane gate of uniform thickness holds back a depth of water as shown in the figure. The gate thickness is 2 m, the length L is equal to 3 m, and the angle 0 equals 30°. Determine a....
Problem 3: A plane gate of uniform thickness holds back a depth of water as shown in the figure. The gate thickness is 2 m, the length L is equal to 3 m, and the angle 0 equals 30°. Determine a. The average pressure on the gate. b. The hydrostatic force F applied to the gate and its components, vertical and horizontal c. Determine the volume of the "missing water" above the gate. What do you fincd interesting about this...
What is the resultant hydrostatic force on the gate?
What is the distance of the line of action (or the center of
pressure) of the resultant hydrostatic from the shaft?
If the weight of the gate is assumed negligible, what is the
magnitude of the force
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, 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
point A. Friction in the hinge is negligible. Determine the
tension in the cable.
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...
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
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...
An open tank has a vertical partition and on one side contains gasoline with a density p-580 kg/m at a depth of 4.6 m, as shown in the figure below. A rectangular gate that is 4.6 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? Assumeh 46 m. Partition Concepts: The pressure...
8. An open tank has a vertical partition and on one side contains gasoline with a density p = 700 kg/m3 at a depth of 4 m, as shown in Figure 8. A rectangular gate that is 4 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?
11. Determine ddistance of the hydrostatic force from hinge 11. SMTKN 81.757 kN 12. Compute weight "w", fastened to the center of the gate, is necessary barely to keep the gate from opening. What will be the resultant reaction at the hinge 13. SITUATIONS A cylindrical log having a diameter of 2m and a length of 4m is placed in the position shown in figure below. Sp. Gr. of ol is 0.8. Determine Vertical component of the force acting on...
correct answer please
A plane gate of uniform thickness holds back a depth of water as shown. Find the minimum weight needed to keep the gate closed. 30 -0.483 m Water w=0.532 m 1523.21 The gate shown is hinged at . The gate is 3 m wide normal to the plane of the diagram. Calculate the force required at A to hold the gate closed. 0.69 m 2.0 m Water 135.093
Problem 3: A plane gate of uniform thickness holds back a depth of water as shown in the figure. The gate thickness is 2 m, the length L is equal to 3 m, and the angle 0 equals 30°. Determine a. The average pressure on the gate. b. The hydrostatic force F applied to the gate and its components, vertical and horizontal c. Determine the volume of the "missing water" above the gate. What do you fincd interesting about this...
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