9. The centroid and the centroidal moments of inertia
for some common geometries
10.
11.
12. The only difference between a weir and a barrage is of gates, that is the
flow in barrage is regulated by gates and that in weirs, by its crest
height. Barrages are costlier than weirs.
18. Pressure, Forces, Moments on a Submerged Symetric Plate
Determine the force and center of pressure on a rectangular wall
on a tank filled with a fluid (gasoline of s.g = 0.86) with total depth
= 3 m and length of wall = 10 m.
3 m
F
Wall
A
3 m
10 m
dA
Typical Problem
Typical Schematics
23. Hydrostatic Force on Curved Surfaces
What force F is required to hold
the plate AB steady?
Plate AB has a width of 1.0m on to the paper
24. • Curved Submerged Surface
Horizontal Force = Equivalent Vertical Plane Force
Vertical Force = Weight of Fluid Directly Above
(+ Free Surface Pressure Force)
Hydrostatic Force on Submerged Surfaces
25. The dam shown below has a cylindrical surface with a
radius of 8 meters. If water is built up to the top of the dam,
what is the equivalent point load of the water pressing
against the dam.
8 m
Worked Example
28. 28 Radial Gate Fabrication
Applications
Diversion of water for irrigation,
On top of dams to increase reservoir
capacity,
In spillways or in drainage canals to
maintain water elevation,
In other locations where wide, clear
waterway openings are necessary and
where economical control of water is
important.
30. A 5-m long seawall separates a freshwater body from a saltwater body as
shown in the figure. The wall is a total of 4 m high, with the top half of the
wall being semicircular. Under design conditions, the surface of the
freshwater body is at the top of the wall and the surface of the saltwater
body is at the mid-height of the wall.
What is the net hydrostatic force on the wall under the design condition?
Assume that the freshwater and the and saltwater are 1.0 and 1.06 m
respectively.
Worked Example