8.12. A rectangular duct mounted beneath the beams in a building, as shown in Fig. 8-18, is to have a cross-sectional area of 0.8 m². The cost of the duct for the required length is $150 per meter of perimeter. The building must be heightened by the amount of the height of the duct, and that cost is $0.80 per millimeter. After the duct has been sized to provide minimum total cost, the possibility of enlarging the duct is explored. What is the additional cost per square meter of cross-sectional area of a very small increase in the area? Ans.: $642 per square meter. I Floor h Duct Extra building height W FIGURE 8-18 Duct mounted under beams in Prob. 8.12.
8.12. A rectangular duct mounted beneath the beams in a building, as shown in Fig. 8-18, is to have a cross-sectional area of 0.8 m². The cost of the duct for the required length is $150 per meter of perimeter. The building must be heightened by the amount of the height of the duct, and that cost is $0.80 per millimeter. After the duct has been sized to provide minimum total cost, the possibility of enlarging the duct is explored. What is the additional cost per square meter of cross-sectional area of a very small increase in the area? Ans.: $642 per square meter. I Floor h Duct Extra building height W FIGURE 8-18 Duct mounted under beams in Prob. 8.12.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A rectangular duct mounted beneath the beams in a building, as shown in Fig. 8-18, is to have a cross-sectional area of 0.8 m². The cost of the duct for the required length is $150 per meter of perimeter. The building must be heightened by the amount of the height of the duct, and that cost is $0.80 per millimeter. After the duct has been sized to provide minimum total cost, the possibility of enlarging the duct is explored. What is the additional cost per square meter of cross-sectional area of a very small increase in the area? Floor Duct Extra building height W FIGURE 8-18 Duct mounted under beams in Prob. 8.12.
Transcribed Image Text:8.12. A rectangular duct mounted beneath the beams in a building, as shown in
Fig. 8-18, is to have a cross-sectional area of 0.8 m². The cost of the duct
for the required length is $150 per meter of perimeter. The building must be
heightened by the amount of the height of the duct, and that cost is $0.80
per millimeter. After the duct has been sized to provide minimum total cost,
the possibility of enlarging the duct is explored. What is the additional cost
per square meter of cross-sectional area of a very small increase in the area?
Ans.: $642 per square meter.
I
Floor
h
Duct
Extra building height
W
FIGURE 8-18
Duct mounted under beams in Prob. 8.12.
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