6. A pump supplies water under pressure to a large tank. The circular-plate valve on the discharge pipe (shown both in front view and side view) pivots about its diameter A-A and is held shut against the water pressure by a latch at point B. The exte- rior of the tank and valve are at atmospheric pressure. (a) Show that the force on the latch is given by FB = R³ /4 A (b) Explain why FB is independent of the supply pressure, ps, and the depth of the pivot, h. front view B supply pressure Ps. A° B si de view water supply
6. A pump supplies water under pressure to a large tank. The circular-plate valve on the discharge pipe (shown both in front view and side view) pivots about its diameter A-A and is held shut against the water pressure by a latch at point B. The exte- rior of the tank and valve are at atmospheric pressure. (a) Show that the force on the latch is given by FB = R³ /4 A (b) Explain why FB is independent of the supply pressure, ps, and the depth of the pivot, h. front view B supply pressure Ps. A° B si de view water supply
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![6. A pump supplies water under pressure to a large tank. The
circular-plate valve on the discharge pipe (shown both in front
view and side view) pivots about its diameter A-A and is held
shut against the water pressure by a latch at point B. The exte-
rior of the tank and valve are at atmospheric pressure.
(a) Show that the force on the latch is given by FB = R³ /4
A
(b) Explain why FB is independent of the supply pressure, ps,
and the depth of the pivot, h.
front view
B
supply pressure Ps.
A°
B
si de view
water
supply](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab6b79a9-c663-4f87-993a-883a678be91b%2Fd3ac90f9-4aca-4ce5-8aec-592eaeb243ad%2F2x2713h_processed.png&w=3840&q=75)
Transcribed Image Text:6. A pump supplies water under pressure to a large tank. The
circular-plate valve on the discharge pipe (shown both in front
view and side view) pivots about its diameter A-A and is held
shut against the water pressure by a latch at point B. The exte-
rior of the tank and valve are at atmospheric pressure.
(a) Show that the force on the latch is given by FB = R³ /4
A
(b) Explain why FB is independent of the supply pressure, ps,
and the depth of the pivot, h.
front view
B
supply pressure Ps.
A°
B
si de view
water
supply
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