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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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
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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