Gate AB is a quarter-circle 12 ft wide and hinged at B. The gate is uniform and weighs 6000 lb. Use 62.4 lb/ft³ as water's specific weight.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter8: Engineering Materials
Section: Chapter Questions
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Gate AB is a quarter-circle 12 ft wide and hinged at B. The gate is uniform and
weighs 6000 lb. Use 62.4 Ib/ft as water's specific weight.
|F
Water
r= 8 ft
!!
B
HINT: Centroid of the quarter circle gate
Shape
Length
Quarter-cirlar
ard
Seicreular are
What is the horizontal component of the hydrostatic force in
Ib?
What is the vertical component of the hydrostatic force in Ib?
What is the location of Fv from point B in ft?
Find the force F (in Ib) just sufficient to keep the gate from
opening.
al
Transcribed Image Text:Gate AB is a quarter-circle 12 ft wide and hinged at B. The gate is uniform and weighs 6000 lb. Use 62.4 Ib/ft as water's specific weight. |F Water r= 8 ft !! B HINT: Centroid of the quarter circle gate Shape Length Quarter-cirlar ard Seicreular are What is the horizontal component of the hydrostatic force in Ib? What is the vertical component of the hydrostatic force in Ib? What is the location of Fv from point B in ft? Find the force F (in Ib) just sufficient to keep the gate from opening. al
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