nddn am 13. A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an angle of 60° with the free surface of water. Determine the total pressure and position of centre of pressure when the upper edge of the plate is 2 m below the free water surface. [Ans. 228.69 kN, 3.427 m from free surface]
nddn am 13. A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an angle of 60° with the free surface of water. Determine the total pressure and position of centre of pressure when the upper edge of the plate is 2 m below the free water surface. [Ans. 228.69 kN, 3.427 m from free surface]
Principles of Foundation Engineering (MindTap Course List)
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Author:Braja M. Das
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Chapter14: Sheet-pile Walls
Section: Chapter Questions
Problem 14.3P
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![13. A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an
angle of 60° with the free surface of water. Determine the total pressure and position of centre of pressure
when the upper edge of the plate is 2 m below the free water surface.
[Ans. 228.69 kN, 3.427 m from free surface]
14. Arectangular gate 6 mx2 m is hinged at its base and inclined at 60° to the horizontal as shown in Fig. 3.54.
To keep the gate in a stable position, a counter weight of 29430 N is attached at the upper end of the gate.
Find the depth of water at which the gate begins to fall. Neglect the weight of the gate and also friction at
the hinge and pulley.
[Ans. 3.43 m)
WATER SURFACE
HINGE
3m
HINGE
- 1.5 m
Fig. 3.54
Fig.3.55
15. An inclined rectangular gate of width 5 m and depth 1.5 m is installed to control the discharge of water as
shown in Fig. 3.55. The end A is hinged. Determine the force normal to the gate applied at B to open it.
[Ans. 97435.8 N]
16. A gate supporting water is shown in Fig. 3.56. Find the height
"A of the water so that the gate begins to tip about the hinge.
Take the width of the gate as unity.
17. Find the total pressure and depth of centre of pressure on a
triangular plate of base 3 m and height 3 m which is immersed in
water in such a way that plane of the plate makes an angle of 60°
with the free surface. The base of the plate is parallel to water surface and at a depth of 2 m from water
surface.
FREE WATER SURFACE
GATE
[Ans. 3x 3 m)
- HINGE
Fig. 3.56
[Ans. 126.52 kN, 2.996 m]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F889987bd-67d6-4eeb-912e-327f33d7b5d6%2F0ef8f95f-ec81-4426-9ce0-c2467c81ec2d%2Fqo0rppm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:13. A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an
angle of 60° with the free surface of water. Determine the total pressure and position of centre of pressure
when the upper edge of the plate is 2 m below the free water surface.
[Ans. 228.69 kN, 3.427 m from free surface]
14. Arectangular gate 6 mx2 m is hinged at its base and inclined at 60° to the horizontal as shown in Fig. 3.54.
To keep the gate in a stable position, a counter weight of 29430 N is attached at the upper end of the gate.
Find the depth of water at which the gate begins to fall. Neglect the weight of the gate and also friction at
the hinge and pulley.
[Ans. 3.43 m)
WATER SURFACE
HINGE
3m
HINGE
- 1.5 m
Fig. 3.54
Fig.3.55
15. An inclined rectangular gate of width 5 m and depth 1.5 m is installed to control the discharge of water as
shown in Fig. 3.55. The end A is hinged. Determine the force normal to the gate applied at B to open it.
[Ans. 97435.8 N]
16. A gate supporting water is shown in Fig. 3.56. Find the height
"A of the water so that the gate begins to tip about the hinge.
Take the width of the gate as unity.
17. Find the total pressure and depth of centre of pressure on a
triangular plate of base 3 m and height 3 m which is immersed in
water in such a way that plane of the plate makes an angle of 60°
with the free surface. The base of the plate is parallel to water surface and at a depth of 2 m from water
surface.
FREE WATER SURFACE
GATE
[Ans. 3x 3 m)
- HINGE
Fig. 3.56
[Ans. 126.52 kN, 2.996 m]
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