14. A tank contains water upto a height of 1 m above the base. An immiscible liquid of sp. gr. 0.8 is filled on the top of water upto 1.5 m height. Calculate : () total pressure on one side of the tank. () the position of [Ans. 76518 N, 1.686 m from top] hright of 2 m. Calculate the force due to centre of pressure for one side of the tánk, which is 3 m wide. nnto
14. A tank contains water upto a height of 1 m above the base. An immiscible liquid of sp. gr. 0.8 is filled on the top of water upto 1.5 m height. Calculate : () total pressure on one side of the tank. () the position of [Ans. 76518 N, 1.686 m from top] hright of 2 m. Calculate the force due to centre of pressure for one side of the tánk, which is 3 m wide. nnto
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![10. A tank contains water upto a height of 1 m above the base. An immiscible liquid of sp. gr. 0.8 is filled on
the top of water upto 1.5 m height. Calculate : () total pressure on one side of the tank, () the positiom of
centre of pressure for one side of the tank, which is 3 m wide.
11. A rectangular tank 4 m long, 1.5 m wide contains water upto a height of 2 m. Calculate the force due to
water pressure on the base of the tank. Find also the depth of centre of pressure from free surface.
[Ans. 76518 N, 1.686 m from top)
[Ans. 117720 N, 2 m from free surface]
12. A rectangular plane surface I m wide and 3 m deep lies in water in such a way that its plane makes an angle
of 30° 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.
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. 809325 N. 2.318 m)
[Ans. 228.69 kN, 3.427 m from free surface]
14 A rectangnlar gate 6 mx 2 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 Nis 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
w
HINGE
3 m
HINGE,
60
1.5 m
Fig.3.54
Fig. 3.55
15. An inclined rectangular gate of width 5 m and depth 15 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]
FREE WATER SURFACE
16. A gate supporting water is shown in Fig. 3.56. Find the height
"h' 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 parállel to water surface and at a depth of 2 m from water
surface.
GATE
[Ans. 3 x 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%2F92d406f1-300e-4e10-b680-cfee821b33d9%2F9wurv6b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10. A tank contains water upto a height of 1 m above the base. An immiscible liquid of sp. gr. 0.8 is filled on
the top of water upto 1.5 m height. Calculate : () total pressure on one side of the tank, () the positiom of
centre of pressure for one side of the tank, which is 3 m wide.
11. A rectangular tank 4 m long, 1.5 m wide contains water upto a height of 2 m. Calculate the force due to
water pressure on the base of the tank. Find also the depth of centre of pressure from free surface.
[Ans. 76518 N, 1.686 m from top)
[Ans. 117720 N, 2 m from free surface]
12. A rectangular plane surface I m wide and 3 m deep lies in water in such a way that its plane makes an angle
of 30° 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.
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. 809325 N. 2.318 m)
[Ans. 228.69 kN, 3.427 m from free surface]
14 A rectangnlar gate 6 mx 2 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 Nis 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
w
HINGE
3 m
HINGE,
60
1.5 m
Fig.3.54
Fig. 3.55
15. An inclined rectangular gate of width 5 m and depth 15 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]
FREE WATER SURFACE
16. A gate supporting water is shown in Fig. 3.56. Find the height
"h' 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 parállel to water surface and at a depth of 2 m from water
surface.
GATE
[Ans. 3 x 3 m)
- HINGE
Fig. 3.56
[Ans. 126.52 kN, 2.996 m]
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