1. The tank shown in Figure 1. has a 4 m diameter plug at the bottom on the right. The height H of water is 7 m and at this height the plug will pop out at the top for the hydrostatic force exerted. For this condition, what will be the horizontal force P. required to keep the tank closed? Water Figure 1 H P Plug D = 4 m 50°

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Chapter8: Centroids And Distributed Loads
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Problem 8.141RP: The thin-walled cylindrical can with a spherical dimple weighs 0.2 lb. Determine the force P...
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Class Work
1. The tank shown in Figure 1. has a 4 m diameter plug at the bottom on the right. The height H of
water is 7 m and at this height the plug will pop out at the top for the hydrostatic force exerted
For this condition, what will be the horizontal force P. required to keep the tank closed?
Figure 1
Figure 2
5m
H
Figure 3
2. In Figure 2, the wicket dam is used to hold water up to 5 m high and the dam is 3 m wide and
is pivoted at its centre A. Determine the reaction force from the supporting member AB on the
dam. Neglect the weight of the dam.
60°
Water
Water
6 m
Plug
D = 4 m
Hinge
P
Hinge
30
3. The gate ABC as shown in Figure 3 is hinged at C and is in the form of quarter-circle wall
radius 6 m. If the width of the gate is 3.5 m, calculate the force required at support B to hold
the gate in position.
50°
B
B
A
P
Gate 3.2 m
Transcribed Image Text:Class Work 1. The tank shown in Figure 1. has a 4 m diameter plug at the bottom on the right. The height H of water is 7 m and at this height the plug will pop out at the top for the hydrostatic force exerted For this condition, what will be the horizontal force P. required to keep the tank closed? Figure 1 Figure 2 5m H Figure 3 2. In Figure 2, the wicket dam is used to hold water up to 5 m high and the dam is 3 m wide and is pivoted at its centre A. Determine the reaction force from the supporting member AB on the dam. Neglect the weight of the dam. 60° Water Water 6 m Plug D = 4 m Hinge P Hinge 30 3. The gate ABC as shown in Figure 3 is hinged at C and is in the form of quarter-circle wall radius 6 m. If the width of the gate is 3.5 m, calculate the force required at support B to hold the gate in position. 50° B B A P Gate 3.2 m
4. Calculate the curved panel BC hinged at B as shown in Figure 4 is a 60° arc, perpendicular to
the bottom at C. If the panel is 4 m wide into the paper, estimate the resultant hydrostatic force
of the water on the panel.
Figure 4
R = 3 m
B
60°
Water
0
C
5. Calculate the total hydrostatic force on the gate with width 2.5 m and pivoted at O; D is 3 m shown
in Figure 5. The gate is composed of a lower curved section and an upper vertical section. The
cx², where c = 0.2.5 m¹. Also,
curved section is parabolic and is described by the equation y =
compute the height H, if a horizontal force P = 30 kN is applied to point A.
Water
y = (x²
← P
Gate
Figure 5
Transcribed Image Text:4. Calculate the curved panel BC hinged at B as shown in Figure 4 is a 60° arc, perpendicular to the bottom at C. If the panel is 4 m wide into the paper, estimate the resultant hydrostatic force of the water on the panel. Figure 4 R = 3 m B 60° Water 0 C 5. Calculate the total hydrostatic force on the gate with width 2.5 m and pivoted at O; D is 3 m shown in Figure 5. The gate is composed of a lower curved section and an upper vertical section. The cx², where c = 0.2.5 m¹. Also, curved section is parabolic and is described by the equation y = compute the height H, if a horizontal force P = 30 kN is applied to point A. Water y = (x² ← P Gate Figure 5
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