A steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A uniform normal strain of 240 pin./in. is produced in the cable by the weight of the cage. At each point, the weight of the cable produces an additional normal strain that is proportional to the length of the cable below the point. Assume D = 1900 ft and d = 500 ft. If the total normal strain in the cable at the cable drum (upper end of the cable) is 780 μin./in., determine (a) the strain in the cable at a depth of 500 ft. (b) the total elongation of the cable. Drum Cable Answers: (a) ε = (b) 8 = i i d Elevator cage D X pin./in. in.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A uniform normal strain of 240 pin./in. is
produced in the cable by the weight of the cage. At each point, the weight of the cable produces an additional normal strain that is
proportional to the length of the cable below the point. Assume D = 1900 ft and d = 500 ft. If the total normal strain in the cable at the
cable drum (upper end of the cable) is 780 μin./in., determine
(a) the strain in the cable at a depth of 500 ft.
(b) the total elongation of the cable.
Drum
Cable
Answers:
(a) ε =
(b) 8 =
i
i
d
Elevator cage
D
X
pin./in.
in.
Transcribed Image Text:A steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A uniform normal strain of 240 pin./in. is produced in the cable by the weight of the cage. At each point, the weight of the cable produces an additional normal strain that is proportional to the length of the cable below the point. Assume D = 1900 ft and d = 500 ft. If the total normal strain in the cable at the cable drum (upper end of the cable) is 780 μin./in., determine (a) the strain in the cable at a depth of 500 ft. (b) the total elongation of the cable. Drum Cable Answers: (a) ε = (b) 8 = i i d Elevator cage D X pin./in. in.
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