The gate AB shown in the figure consists of a quadrant of a cylinder. It has a radius of R and a width of l=2R. It is hinged at point A. Under the influence of its own weight, the gate is in equilibrium. Determine: a) Horizontal component of the resultant hydrostatic force on the gate, b) Vertical component of the resultant hydrostatic force on the gate, c) Weight of the gate, in terms of y and R, where y is specific weight of the fluid (water). h = R h2 = R/2 l = 2R Yw hị Yw Hinge 4R/3n | Water 4R/3n "B R/2 ▼ R/2

The gate AB shown in the figure consists of a quadrant of a cylinder. It has a radius of R and a width of l=2R. It is hinged at point A. Under the influence of its own weight, the gate is in equilibrium. Determine: a) Horizontal component of the resultant hydrostatic force on the gate, b) Vertical component of the resultant hydrostatic force on the gate, c) Weight of the gate, in terms of y and R, where y is specific weight of the fluid (water). h = R h2 = R/2 l = 2R Yw hị Yw Hinge 4R/3n | Water 4R/3n "B R/2 ▼ R/2

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

The gate AB shown in the figure consists of a quadrant of a cylinder. It has a radius of R and a
width of =2R. It is hinged at point A. Under the influence of its own weight, the gate is in
equilibrium.
Determine:
a) Horizontal component of the resultant hydrostatic force on the gate,
b) Vertical component of the resultant hydrostatic force on the gate,
c) Weight of the gate, in terms of y and R, where y is specific weight of the fluid
(water).
h, = R
h2 = R/2
l= 2R
Yw
h2
Yw
Hinge
R
4R/37
Water
4R/37
B
R/2 R/2

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