978-0073398242 Chapter 5 Solution Manual Part 11

subject Type Homework Help
subject Pages 9
subject Words 1462
subject Authors Brian Self, David Mazurek, E. Johnston, Ferdinand Beer, Phillip Cornwell

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page-pf1
PROBLEM 5.83
The base of a dam for a lake is designed to resist up to 120 percent of the
horizontal force of the water. After construction, it is found that silt (that is
equivalent to a liquid of density 33
1.76 10 kg/m )
s

is settling on the
lake bottom at the rate of 12 mm/year. Considering a 1-m-wide section of
dam, determine the number of years until the dam becomes unsafe.
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PROBLEM 5.84
An automatic valve consists of a 9 9-in. square plate that is pivoted about
a horizontal axis through A located at a distance h 3.6 in. above the lower
edge. Determine the depth of water d for which the valve will open.
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PROBLEM 5.85
An automatic valve consists of a 9 9-in. square plate that is pivoted about
a horizontal axis through A. If the valve is to open when the depth of water
is d 18 in., determine the distance h from the bottom of the valve to the
pivot A.
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PROBLEM 5.86
The 3 4-m side AB of a tank is hinged at its bottom A and is held in place by a
thin rod BC. The maximum tensile force the rod can withstand without breaking
is 200 kN, and the design specifications require the force in the rod not to exceed
20 percent of this value. If the tank is slowly filled with water, determine the
maximum allowable depth of water d in the tank.
page-pf5
PROBLEM 5.87
The 3 4-m side of an open tank is hinged at its bottom A and is held in place by
a thin rod BC. The tank is to be filled with glycerine, whose density is 1263
kg/m
3
. Determine the force
T
in the rod and the reactions at the hinge after the
tank is filled to a depth of 2.9 m.
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PROBLEM 5.88
A 0.5 0.8-m gate AB is located at the bottom of a tank filled with
water. The gate is hinged along its top edge A and rests on a
frictionless stop at B. Determine the reactions at A and B when cable
BCD is slack.
page-pf7
PROBLEM 5.89
A 0.5 0.8-m gate AB is located at the bottom of a tank filled with
water. The gate is hinged along its top edge A and rests on a
frictionless stop at B. Determine the minimum tension required in
cable BCD to open the gate.
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PROBLEM 5.90
A
42-ft
gate is hinged at A and is held in position by rod CD. End
D rests against a spring whose constant is 828 lb/ft. The spring is
undeformed when the gate is vertical. Assuming that the force
exerted by rod CD on the gate remains horizontal, determine the
minimum depth of water d for which the bottom B of the gate will
move to the end of the cylindrical portion of the floor.
page-pf9
PROBLEM 5.91
Solve Problem 5.90 if the gate weighs 1000 lb.
PROBLEM 5.90
A
42-ft
gate is hinged at A and is held in
position by rod CD. End D rests against a spring whose constant is
828 lb/ft. The spring is undeformed when the gate is vertical.
Assuming that the force exerted by rod CD on the gate remains
horizontal, determine the minimum depth of water d for which the
bottom B of the gate will move to the end of the cylindrical portion
of the floor.
page-pfa
PROBLEM 5.92
A prismatically shaped gate placed at the end of a freshwater channel is
supported by a pin and bracket at A and rests on a frictionless support at
B. The pin is located at a distance 0.10 mh below the center of gravity
C of the gate. Determine the depth of water d for which the gate will
open.

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