978-0073398242 Chapter 7 Solution Manual Part 16

subject Type Homework Help
subject Pages 9
subject Words 1034
subject Authors Brian Self, David Mazurek, E. Johnston, Ferdinand Beer, Phillip Cornwell

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PROBLEM 7.108
The total mass of cable ACB is 20 kg. Assuming that the mass of the
cable is distributed uniformly along the horizontal, determine (a) the
sag h, (b) the slope of the cable at A.
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PROBLEM 7.109
The center span of the George Washington Bridge, as originally constructed, consisted of a uniform
roadway suspended from four cables. The uniform load supported by each cable was
9.75 kips/ftw=
along the horizontal. Knowing that the span L is 3500 ft and that the sag h is 316 ft, determine for the
original configuration (a) the maximum tension in each cable, (b) the length of each cable.
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PROBLEM 7.110
The center span of the Verrazano-Narrows Bridge consists of two uniform roadways suspended from four
cables. The design of the bridge allows for the effect of extreme temperature changes that cause the sag of
the center span to vary from hw= 386 ft in winter to
394 ft
s
h=
in summer. Knowing that the span is
L = 4260 ft, determine the change in length of the cables due to extreme temperature changes.
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PROBLEM 7.111
Each cable of the Golden Gate Bridge supports a load w= 11.1 kips/ft along the horizontal. Knowing that
the span L is 4150 ft and that the sag h is 464 ft, determine (a) the maximum tension in each cable, (b) the
length of each cable.
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PROBLEM 7.112
Two cables of the same gauge are attached to a transmission tower
at B. Since the tower is slender, the horizontal component of the
resultant of the forces exerted by the cables at B is to be zero.
Knowing that the mass per unit length of the cables is 0.4 kg/m,
determine (a) the required sag h, (b) the maximum tension in each
cable.
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PROBLEM 7.112 (Continued)
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PROBLEM 7.113
A 76-m length of wire having a mass per unit length of 2.2 kg/m is used to span a horizontal distance of
75 m. Determine (a) the approximate sag of the wire, (b) the maximum tension in the wire. [Hint: Use
only the first two terms of Eq. (7.10).]
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PROBLEM 7.113 (Continued)
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PROBLEM 7.114
A cable of length L + is suspended between two points that are at the same elevation and a distance L
apart. (a) Assuming that is small compared to L and that the cable is parabolic, determine the
approximate sag in terms of L and . (b) If L = 100 ft and ∆= 4 ft, determine the approximate sag. [Hint:
Use only the first two terms of Eq. (7.10).
page-pfa
PROBLEM 7.115
The total mass of cable AC is 25 kg. Assuming that the mass of the
cable is distributed uniformly along the horizontal, determine the
sag h and the slope of the cable at A and C.

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