2.3-3 A steel bar AD (see figure) has a cross-sectional area of 0.40 in.² and is loaded by forces P, = 2700 lb, P2 = 1800 lb, and P3 = 1300 lb. The lengths of the segments of the bar are a = 60 in., b = 24 in., and c = 36 in. (a) Assuming that the modulus of elasticity E 30 x 10° psi, calcuklate the change in length 8 of the bar. Does the bar elongate or shorten? (b) By what amount P should the load P3 be increased so that the bar does not change in length when the three loads are applied? P

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.3.3P: An aluminum bar AD (see figure) has a cross-sectional area of 0.40 in- and is loaded by Forces Pi=...
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2.3-3 A steel bar AD (see figure) has a cross-sectional
area of 0.40 in.? and is loaded by forces P1 = 2700 lb, P2 =
1800 lb, and P3 = 1300 lb. The lengths of the segments of
the bar are a = 60 in., b = 24 in., and c = 36 in.
(a) Assuming that the modulus of elasticity E
30 x 10° psi, calculate the change in length ô of the bar.
Does the bar elongate or shorten?
(b) By what amount P should the load P3 be increased
so that the bar does not change in length when the three
loads are applied?
PA P2
IA
By
-a
of
Transcribed Image Text:2.3-3 A steel bar AD (see figure) has a cross-sectional area of 0.40 in.? and is loaded by forces P1 = 2700 lb, P2 = 1800 lb, and P3 = 1300 lb. The lengths of the segments of the bar are a = 60 in., b = 24 in., and c = 36 in. (a) Assuming that the modulus of elasticity E 30 x 10° psi, calculate the change in length ô of the bar. Does the bar elongate or shorten? (b) By what amount P should the load P3 be increased so that the bar does not change in length when the three loads are applied? PA P2 IA By -a of
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