A steel cable is used to support an elevator cage at the bottom of a 2100-ft-deep mineshaft. A uniform normal strain of 260 μin./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=2100 ft and d = 600 ft. If the total normal strain in the cable at the cable drum (upper end of the cable) is 590 μin./in., determine (a) the strain in the cable at a depth of 600 ft. (b) the total elongation of the cable. Drum Cable Answers: (a) ε = (b) S = i MI d D Elevator cage X uin./in. in.

A steel cable is used to support an elevator cage at the bottom of a 2100-ft-deep mineshaft. A uniform normal strain of 260 μin./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=2100 ft and d = 600 ft. If the total normal strain in the cable at the cable drum (upper end of the cable) is 590 μin./in., determine (a) the strain in the cable at a depth of 600 ft. (b) the total elongation of the cable. Drum Cable Answers: (a) ε = (b) S = i MI d D Elevator cage X uin./in. in.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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A steel cable is used to support an elevator cage at the bottom of a 2100-ft-deep mineshaft. A uniform normal strain of 260 μin./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 = 2100 ft and d = 600 ft. If the total normal strain in the cable at the
cable drum (upper end of the cable) is 590 uin./in., determine
(a) the strain in the cable at a depth of 600 ft.
(b) the total elongation of the cable.
Drum
Cable
Answers:
(a) ε =
+
(b) S =
y
d
Elevator cage
D
X
uin./in.
in.

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Step 2: Variation of strain in vertical direction:

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Step 3: a)Strain in the cable at the depth of 600ft

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Step 4: b)The total elongation of the cable:

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