A hemispherical gate of diameter equal to 6 m was submerged in a fluid of S.G.= 0.74 such that its center is located 6 m below the liquid surface and its concavity (opening) is facing to the right. The highest point on the hemisphere is hinged to a rigid object that extends way above the liquid surface limiting the fluid to be only on the back side of the curvature of the gate. 16. 17. 18. Calculate the magnitude of the horizontal hydrostatic force, F. that the fluid exerts on the hemispherical gate. A. 1231.53 kN B. 1493.65 kN C. 1664.23 kN D. 1847.29 kN What is the corresponding line of action, yp, of the horizontal force acting on the hemispherical gate as measured from the liquid surface? A. 6.375 m B. 6.516 m C. 7.125 m D. 7.273 m Compute for the magnitude of the vertical hydrostatic force, F, that the fluid, with a specific gravity of 0.74, exerts on the hemispherical gate. A. 196.04 kN B. 554.74 kN C. 782.11 kN D. 1336.85 kN

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A hemispherical gate of diameter equal to 6 m was submerged in a fluid of S.G.= 0.74 such that its
center is located 6 m below the liquid surface and its concavity (opening) is facing to the right. The
highest point on the hemisphere is hinged to a rigid object that extends way above the liquid surface
limiting the fluid to be only on the back side of the curvature of the gate.
16.
17.
18.
19.
20.
21.
Calculate the magnitude of the horizontal hydrostatic force, F, that the fluid exerts on
the hemispherical gate.
A. 1231.53 kN
B. 1493.65 kN
C. 1664.23 kN
D. 1847.29 kN
What is the corresponding line of action, yp, of the horizontal force acting on the
hemispherical gate as measured from the liquid surface?
A. 6.375 m
B. 6.516 m
C. 7.125 m
D. 7.273 m
Compute for the magnitude of the vertical hydrostatic force, F. that the fluid, with a
specific gravity of 0.74, exerts on the hemispherical gate.
A. 196.04 kN
B. 554.74 kN
C. 782.11 kN
D. 1336.85 kN
Determine the location of the corresponding line of action, xp, of the vertical force
acting on the hemispherical gate as measured from the hinge.
A. 1.633 m
B. 1.422 m
C. 1.273 m
What is the total hydrostatic force acting on the hemispherical
B. 1458.89 kN
C. 1593.34 kN
A. 1350.70 kN
What is the angle of inclination, with respect to the vertical axis, of the total hydrostatic
force acting on the gate?
A. 57.58⁰
B. 65.75⁰
D. 1.125 m
gate?
D. 1686.03 kN
C. 71.57⁰
D. 82.52°
Transcribed Image Text:A hemispherical gate of diameter equal to 6 m was submerged in a fluid of S.G.= 0.74 such that its center is located 6 m below the liquid surface and its concavity (opening) is facing to the right. The highest point on the hemisphere is hinged to a rigid object that extends way above the liquid surface limiting the fluid to be only on the back side of the curvature of the gate. 16. 17. 18. 19. 20. 21. Calculate the magnitude of the horizontal hydrostatic force, F, that the fluid exerts on the hemispherical gate. A. 1231.53 kN B. 1493.65 kN C. 1664.23 kN D. 1847.29 kN What is the corresponding line of action, yp, of the horizontal force acting on the hemispherical gate as measured from the liquid surface? A. 6.375 m B. 6.516 m C. 7.125 m D. 7.273 m Compute for the magnitude of the vertical hydrostatic force, F. that the fluid, with a specific gravity of 0.74, exerts on the hemispherical gate. A. 196.04 kN B. 554.74 kN C. 782.11 kN D. 1336.85 kN Determine the location of the corresponding line of action, xp, of the vertical force acting on the hemispherical gate as measured from the hinge. A. 1.633 m B. 1.422 m C. 1.273 m What is the total hydrostatic force acting on the hemispherical B. 1458.89 kN C. 1593.34 kN A. 1350.70 kN What is the angle of inclination, with respect to the vertical axis, of the total hydrostatic force acting on the gate? A. 57.58⁰ B. 65.75⁰ D. 1.125 m gate? D. 1686.03 kN C. 71.57⁰ D. 82.52°
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