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The massless, 9-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It...
The massless, 2-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It...
The massless, 2-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It is held in place by the 1950 lb counterweight, W. Determine the water depth, h.
2) A thin 4-ft-wide, right-angle gate with negligible mass is free to pivot about a frictionless...
2) A thin 4-ft-wide, right-angle
gate with negligible mass is free to pivot about a frictionless
hinge at point O. The horizontal portion of the gate covers a
1-ft-diameter drainpipe which contains air at atmospheric pressure.
Determine the minimum water depth h at which the gate will pivot to
allow water to flow through the pipe.
Ans: h = 1.88 ft
A homogeneous, 4-ft-wide, 14-ft-long rectangular gate weighing 800 lb is held in place by a horizontal...
A homogeneous, 4-ft-wide, 14-ft-long rectangular gate weighing 800 lb is held in place by a horizontal flexible cable as shown in the figure below. Water acts against the gate, which is hinged at point A. Friction in the hinge is negligible. Determine the tension in the cable. 30 Keo Cable Water Gate 9.3ft14ft Hinge 1658.04 lb the tolerance is +/-2%
A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in the figure below. The gate is hinged along its top edge and is held in position by the force P. Friction...
A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in the figure below. The gate is hinged along its top edge and is held in position by the force P. Friction at the hinge and the weight of the gate can be neglected. Determine the required value of P. Water 29 ft Hinge Gate 60° lb
A rectangular gate having a width of 4 ft is located in the...
Chapter 02, Problem 122 The homogeneous gate shown in the figure below consists of one quarter...
Chapter 02, Problem 122 The homogeneous gate shown in the figure below consists of one quarter of a circular cylinder and is used to maintain a water depth of 3.8 m. That is, when the water depth exceeds 3.8 m, the gate opens slightly and lets the water flow under it. Determine the weight of the qate per meter of length Pivot 3.8m 1 m kN W = the tolerance is +/-2% Open Show Work Show Work is REQUIRED for...
2. (45 pts) Consider the 10-meter wide, quarter-circular gate shown below. Take R-3 ft and the...
2. (45 pts) Consider the 10-meter wide, quarter-circular gate shown below. Take R-3 ft and the specific weight of the water as y 62.4 lb/ft3. The gate is of negligible weight. The pressure of the air is 10 psi gage. Compute the magnitude of the force Q required to keep the gate in the position shown. Draw an appropriate and clear free body diagram for an alysis. air Hinge water
Q2. (20 points) The gate shown below is 5 ft wide. It is hinged at point...
Q2. (20 points) The gate shown below is 5 ft wide. It is hinged at point B and it rests against a smooth wall at A. The gate is rectangular. There is seawater acting on the gate with specific weight Yseawater = 64 lb/ft i. Draw a diagram for this question and show all forces acting on the gate with their locations ii. Find the force acting on the gate iii. Find the location of this force h iv. Find...
2) A thin 4-ft-wide, right-angle
gate with negligible mass is free to pivot about a frictionless
hinge at point O. The horizontal portion of the gate covers a
1-ft-diameter drainpipe which contains air at atmospheric pressure.
Determine the minimum water depth h at which the gate will pivot to
allow water to flow through the pipe.
Ans: h = 1.88 ft
A homogeneous, 4-ft-wide, 14-ft-long rectangular gate weighing 800 lb is held in place by a horizontal flexible cable as shown in the figure below. Water acts against the gate, which is hinged at point A. Friction in the hinge is negligible. Determine the tension in the cable. 30 Keo Cable Water Gate 9.3ft14ft Hinge 1658.04 lb the tolerance is +/-2%
A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in the figure below. The gate is hinged along its top edge and is held in position by the force P. Friction at the hinge and the weight of the gate can be neglected. Determine the required value of P. Water 29 ft Hinge Gate 60° lb
A rectangular gate having a width of 4 ft is located in the...
Chapter 02, Problem 122 The homogeneous gate shown in the figure below consists of one quarter of a circular cylinder and is used to maintain a water depth of 3.8 m. That is, when the water depth exceeds 3.8 m, the gate opens slightly and lets the water flow under it. Determine the weight of the qate per meter of length Pivot 3.8m 1 m kN W = the tolerance is +/-2% Open Show Work Show Work is REQUIRED for...
2. (45 pts) Consider the 10-meter wide, quarter-circular gate shown below. Take R-3 ft and the specific weight of the water as y 62.4 lb/ft3. The gate is of negligible weight. The pressure of the air is 10 psi gage. Compute the magnitude of the force Q required to keep the gate in the position shown. Draw an appropriate and clear free body diagram for an alysis. air Hinge water
Q2. (20 points) The gate shown below is 5 ft wide. It is hinged at point B and it rests against a smooth wall at A. The gate is rectangular. There is seawater acting on the gate with specific weight Yseawater = 64 lb/ft i. Draw a diagram for this question and show all forces acting on the gate with their locations ii. Find the force acting on the gate iii. Find the location of this force h iv. Find...
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