18. Find the horizontal and vertical components of the total force acting on a curved surface AB, which in the form of a quadrant of a circle of radius 2-m as shown in Fig. 3.57. Take the width of the gae 2 [Ans. F,= 117.72 kN, F, = 140.114 WATER SURFACE WATER SURFACE OHINGE 2m R3 m
18. Find the horizontal and vertical components of the total force acting on a curved surface AB, which in the form of a quadrant of a circle of radius 2-m as shown in Fig. 3.57. Take the width of the gae 2 [Ans. F,= 117.72 kN, F, = 140.114 WATER SURFACE WATER SURFACE OHINGE 2m R3 m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![depth of water on the upstream and downstream sides of the lock are 6 m and 4 m respectively. Find:
is 10 m. Each gate is supported by two hinges located at I m and 5 m above the bottom of the lock. The
sides of the gates are 4 m and 3 m respectively, determine : () the magnitude of resultant pressure an cuch
24. The end gates ABC of a lock are 8 m high and when closed make an angle of 120°. The width of kt
gate, and (i) magnitude of the hinge reactions. [Ans. (i) 79.279 kN, (i) Ry=27.924 kN, R,-51.UAN
18. Find the horizontal and vertical components of the total force acting on a curved surface AB, which
gates are closcd, they make an angle of 120°. The width of the lock is 4 m. If the depths of water on the rwe
in the form of a quadrant of a circle of radius 2 m as shown in Fig. 3.57. Take the width of the gte 2
Mechanics
[Ans. F,=117.72 kN, F,= 140.114
WATER SURFACE
WATER SURFACE
OHINGE
R=3 m
Fig.3.57
Fig.3.58
19. Fig. 3.58 shows a gate having a quadrant shape of radius of 3 m. Find the resultant force due to w
metre length of the gate. Find also the angle at which the total force will act. [Ans. 82.201 kN, 0 = 57 3n
20. A roller gate is shown in Fig, 3.59. It is cylindrical form of 6.0 m diameter. It is placed on the dam
the magnitude and direction of the resultant force due to water acting on the gate when the water is in
going to spill. The length of the gate is given 10 m.
[Ans. 2.245 MN, 0= 38
ROLLER
GATE
WATER SURFACE
Re4
6.0 m
WATER SURFACE (c
307
30
HÍNGE
DAM
Fig. 3.59
Fig. 3.60
21. Find the horizontal and vertical components of the water pressure exerted on a tainter gate of t
4m as shown in Fig. 3.60. Consider width of the gate unity.
[Ans. F, = 19.62 kN, F, = 71024N
22. Find the magnitude and direction of the resultant water
pressure acting on a curved face of a dam which is shaped
WATER SURFACE
according to the relation y=
as shown in Fig. 3.61. The
6
12 m
height of water retained by the dam is 12 m. Take the width
of dam as unity.
23. Each gate of a lock is 5 m high and is supported by two
hinges placed on the top and bottom of the gate. When the
(Ans. 970.74 kN, 0 = 43° 19]
Fig. 3.61
o Resultant water force on cach gate,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4dd1007c-7267-4b8c-9074-2b720bca0ede%2F82fea709-2355-4736-9823-6822cc707a87%2Fpxpscd6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:depth of water on the upstream and downstream sides of the lock are 6 m and 4 m respectively. Find:
is 10 m. Each gate is supported by two hinges located at I m and 5 m above the bottom of the lock. The
sides of the gates are 4 m and 3 m respectively, determine : () the magnitude of resultant pressure an cuch
24. The end gates ABC of a lock are 8 m high and when closed make an angle of 120°. The width of kt
gate, and (i) magnitude of the hinge reactions. [Ans. (i) 79.279 kN, (i) Ry=27.924 kN, R,-51.UAN
18. Find the horizontal and vertical components of the total force acting on a curved surface AB, which
gates are closcd, they make an angle of 120°. The width of the lock is 4 m. If the depths of water on the rwe
in the form of a quadrant of a circle of radius 2 m as shown in Fig. 3.57. Take the width of the gte 2
Mechanics
[Ans. F,=117.72 kN, F,= 140.114
WATER SURFACE
WATER SURFACE
OHINGE
R=3 m
Fig.3.57
Fig.3.58
19. Fig. 3.58 shows a gate having a quadrant shape of radius of 3 m. Find the resultant force due to w
metre length of the gate. Find also the angle at which the total force will act. [Ans. 82.201 kN, 0 = 57 3n
20. A roller gate is shown in Fig, 3.59. It is cylindrical form of 6.0 m diameter. It is placed on the dam
the magnitude and direction of the resultant force due to water acting on the gate when the water is in
going to spill. The length of the gate is given 10 m.
[Ans. 2.245 MN, 0= 38
ROLLER
GATE
WATER SURFACE
Re4
6.0 m
WATER SURFACE (c
307
30
HÍNGE
DAM
Fig. 3.59
Fig. 3.60
21. Find the horizontal and vertical components of the water pressure exerted on a tainter gate of t
4m as shown in Fig. 3.60. Consider width of the gate unity.
[Ans. F, = 19.62 kN, F, = 71024N
22. Find the magnitude and direction of the resultant water
pressure acting on a curved face of a dam which is shaped
WATER SURFACE
according to the relation y=
as shown in Fig. 3.61. The
6
12 m
height of water retained by the dam is 12 m. Take the width
of dam as unity.
23. Each gate of a lock is 5 m high and is supported by two
hinges placed on the top and bottom of the gate. When the
(Ans. 970.74 kN, 0 = 43° 19]
Fig. 3.61
o Resultant water force on cach gate,
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