ON 3 A brass rod AD (see figure) has a cross-sectional area of A- 250 mm' and is loaded by forces P 15 kN, P:- 10 kN, and Py-8 kN. The lengths of the segments of the bar are a-2.0 m, b-0.75 m, and c-1.2 m. Assuming that the modulus of elasticity E-110 GPa, 3.1 Calculate the change in length of the bar. Does the bar elongate or shorten? (6) 3.2 By what amount should the load P, be increased so that the bar does not change in length when the three loads are applied? (3) 3.3 If P, remains at 5780 N, what revised cross-sectional area for segment AB will result in no change of length when all three loads are applied? (3) (12) P A B 20 0-
ON 3 A brass rod AD (see figure) has a cross-sectional area of A- 250 mm' and is loaded by forces P 15 kN, P:- 10 kN, and Py-8 kN. The lengths of the segments of the bar are a-2.0 m, b-0.75 m, and c-1.2 m. Assuming that the modulus of elasticity E-110 GPa, 3.1 Calculate the change in length of the bar. Does the bar elongate or shorten? (6) 3.2 By what amount should the load P, be increased so that the bar does not change in length when the three loads are applied? (3) 3.3 If P, remains at 5780 N, what revised cross-sectional area for segment AB will result in no change of length when all three loads are applied? (3) (12) P A B 20 0-
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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Transcribed Image Text:QUESTION 3
A brass rod AD (see figure) has a cross-sectional area of A- 250 mm and is loaded by
forces P,= 15 kN, P:- 10 kN, and P, = 8 kN. The lengths of the segments of the bar
are a = 2.0 m, b=0.75 m, and c-1.2 m.
Assuming that the modulus of elasticity E = 110 GPa,
3.1 Calculate the change in length of the bar. Does the bar elongate or shorten?
(6)
3.2 By what amount should the load P, be increased so that the bar does not change in
length when the three loads are applied?
(3)
3.3 IfP, remains at 5780 N, what revised cross-sectional area for segment AB will result
in no change of length when all three loads are applied?
(3)
12)
P
P3
A
B.
2.0m
A = 250
Figure?
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