both cables have a diameter of 5 mm, find : The normal strain for both wires using both the small angle approximation a geometrical analysis (no approximations of any kind). Is the approximation bett cable than for the other?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The rigid bar AB is supported by a pin at B and by two the cables AC (perpendicular to the beam)
and AD (inclined with respect to the beam) attached at A as shown in Fig. 3..
AL
P
C
30 in
D
B
80 in
stress, o (MPa)
600
500
400
300
200
100
0
0.00125,
250
0,0
0.02
0.04
strain, & (mm/mm)
0.05, 600
Figure 3. Rigid bar supported by cables and stress-strain curve for the cables.
If the applied point load P produces a counterclockwise rotation of the rigid bar AB of 7.5°, and
both cables have a diameter of 5 mm, find :
The normal strain for both wires using both the small angle approximation and exact
geometrical analysis (no approximations of any kind). Is the approximation better for one
cable than for the other?
Transcribed Image Text:The rigid bar AB is supported by a pin at B and by two the cables AC (perpendicular to the beam) and AD (inclined with respect to the beam) attached at A as shown in Fig. 3.. AL P C 30 in D B 80 in stress, o (MPa) 600 500 400 300 200 100 0 0.00125, 250 0,0 0.02 0.04 strain, & (mm/mm) 0.05, 600 Figure 3. Rigid bar supported by cables and stress-strain curve for the cables. If the applied point load P produces a counterclockwise rotation of the rigid bar AB of 7.5°, and both cables have a diameter of 5 mm, find : The normal strain for both wires using both the small angle approximation and exact geometrical analysis (no approximations of any kind). Is the approximation better for one cable than for the other?
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