EN, e= 57 20. A roller gate is shown in Fig. 3.59. Ik is cylindrical form of 6.0 m diameter. It is placed on the du F the magnitude and direction of the resultant force due to water acting on the gate when the water is jue [Ans. 2.245 MN, e=3 going to spill. The length of the gate is given 10 m. ROLLER GATE WATER SURFACE R=4 m 6.0 m WATER SURFACEC 307 T. 30 HÌNGE DAM Fig.3.59 Fig. 3.60
EN, e= 57 20. A roller gate is shown in Fig. 3.59. Ik is cylindrical form of 6.0 m diameter. It is placed on the du F the magnitude and direction of the resultant force due to water acting on the gate when the water is jue [Ans. 2.245 MN, e=3 going to spill. The length of the gate is given 10 m. ROLLER GATE WATER SURFACE R=4 m 6.0 m WATER SURFACEC 307 T. 30 HÌNGE DAM Fig.3.59 Fig. 3.60
Transcribed Image Text:depth of water on the upstream and downstream sides of the lock are 6 m and 4 m respectively. Find:
gate, and (i) magnitude of the hinge reactions. [Ans. () 79.279 kN, () R=27.924 kN, R=51.SAN
sides of the gates are 4 m and 3 m respectively, determine : () the magnitude of resultant pressure on cah
gates are closed, they make an angle of 120°. The width of the lock is 4 m. If the depths of water on the ne
19. Fig. 3.58 shows a gate having a quadrant shape of radius of 3 m. Find the resultant force due to watr
metre length of the gate. Find also the angle at which the total force will act. [Ans. 82.201 kN, 0= 57
() Resultant water force on each gate.
24. The end gates ABC of a lock are 8 m high and when closed make an angle of 120°. The width of kat
is 10 m. Each gate is supported by two hinges located at I m and 5 m above the bottom of the lock. The
20. A roller gate is shown in Fig. 3.59. k is cylindrical form of 6.0 m diameter. It is placed on the dam F
the magnitude and direction of the resualtant force due to water acting on the gate when the water is
[Ans. 2.245 MN, e= 38
going to spill. The length of the gate is given 10 m.
ROLLER
GATE
WATER SURFACE
R=4 m
6.0 m
WATER SURFACEC
307
30
HÌNGE
B.
DAM
Fig.3.59
Fig. 3.60
21. Find the horizontal and vertical components of the water pressure exerted on a tainter gate of
4mas 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
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, 8 = 43° 19)
Fig. 3.61
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