# 978-0134292380 Chapter 2 Part 2

Document Type

Test Prep

Book Title

Fundamentals of Hydraulic Engineering Systems 5th Edition

Authors

A. Osman H. Akan, Ned H. C. Hwang, Robert J. Houghtalen

For full access to CoursePaper, a membership subscription is required.

9

11. A vertical gate keeps water from flowing in a triangular irrigation channel. The channel has a

4-m top width and a 3-m depth. If the channel is full, what is the magnitude of the hydrostatic

force on the triangular gate and its location?

12. A 3-ft square (plane) gate is mounted into an inclined wall (45°). The center of the gate is

located 4 feet (vertically) below the water surface. Determine the magnitude of the

hydrostatic force (in lbs) and its location with respect to the water surface along the incline.

13. A circular gate is installed on a vertical wall as shown in the figure below. Determine the

horizontal force, P, necessary to hold the gate closed if the gate diameter is 6 feet and h = 7

feet. Neglect friction at the pivot.

10

14. A vertical plate, composed of a square

and a triangle, is submerged so that its

upper edge coincides with the water

surface (Figure P2.5.5). What is the

value of the ratio H/L such that the

pressure force on the square is equal to

the pressure force on the triangle?

15. The wicket dam, pictured on the right, is

5 m high and 3 m wide and is pivoted at

its center. Determine the reaction force

in the supporting member AB.

16. Calculate the magnitude and the location

of the resultant pressure force on the

annular gate shown in the figure to the

right if the cross-section of central hub is

a square that is 1 m by 1 m.

= 2.76 m (below the water surface)

7

17. Determine the relationship between γ1

and γ2 in the figure to the right if the

weightless triangular gate is in

equilibrium in the position shown.

(Hint: Use a unit length for the gate.)

18. An inverted hemispherical shell of

diameter d = 3 feet as shown in the

figure to the right is used to cover a tank

filled with water at 20°C. Determine the

minimum weight the shell needs to be to

hold itself in place (i.e., not be lifted up).

19. The corner plate of a barge’s hull is

curved with a radius of 1.75 m. The

depth of submergence (draft) is depicted

in the figure. However, the barge is

leaking and the water on the inside is up

to level A producing hydrostatic pressure

on the inside as well as the outside.

Determine the resultant horizontal

hydrostatic pressure force on plate AB

per unit length of the hull.

7

20. The corner plate of a barge’s hull is

curved with a radius of 1.75 m. The

depth of submergence (draft) is depicted

in Figure P2.6.4. The barge is leaking

and the water on the inside is up to level

A producing hydrostatic pressure on the

inside as well as the outside. Determine

the resultant vertical hydrostatic force

on plate AB per unit length of hull.

21. Calculate the horizontal and vertical

hydrostatic forces on the curved surface

ABC in the figure to the right.

VolFV

= γ[2(R)2] = 2(γ)(R)2

22. The tainter gate section shown in figure

to the right has a cylindrical surface with

a 12-m radius and is supported by a

structural frame hinged at O. The gate is

10 m long (in the direction perpendicular

to the page). Determine the magnitude,

direction, and location of the total

hydrostatic force on the gate

7

23. A piece of irregularly shaped metal weighs 301 N. When the metal is completely submerged

in water, it weighs 253 N. Determine the specific weight and the specific gravity of the

metal.

24. A concrete block that has a total volume of 12 ft3 and a specific gravity of 2.67 is tied to one

end of a long cylindrical buoy as depicted in the figure below. The buoy is 10 ft long and is

2 ft in diameter. Unfortunately the water level has risen and the buoy is floating away with 1

ft sticking above the water surface. Determine the specific gravity of the buoy. The fluid is

brackish bay water (S.G. = 1.02).

8

25. A cube of ice measures 10 inches on each side. It has a density of 1.76 slugs/ft3. Determine

the weight of the ice and the percentage of the cube below the waterline when it is floating.

26. A rectangular barge is 14 m long, 6 m wide, and 2 m deep. The center of gravity is 1.0 m

from the bottom and the barge drafts 1.5 m of seawater (S.G. = 1.03). Find the metacentric

height and the righting moments for a 8° angle of heel (or list).

## Trusted by Thousands of

Students

Here are what students say about us.

###### Resources

###### Company

Copyright ©2021 All rights reserved. | CoursePaper is not sponsored or endorsed by any college or university.