IV. An Aluminum bar AD (see figure) has a c loaded by forces P1 = 7560 N, P2 = 5340 segments of the bar are a = 1525 mm, b (a) Assuming that the modulus of elasticity i length of the bar. Does the bar elongate or s (b) By what amount P should the load P3 be change in length when the three loads are a (c) If P3 remains at 5780 N, what revised cr result in no change of length when all three A B₁ P₁

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IV.
An Aluminum bar AD (see figure) has a cross-sectional area of 250 mm2 and is
loaded by forces P1 = 7560 N, P2 = 5340 N, and P3 = 5780 N. The lengths of the
segments of the bar are a = 1525 mm, b = 610 mm, and c = 910 mm.
(a) Assuming that the modulus of elasticity is E = 72 GPa, calculate the change in
length 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?
(c) If P3 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?
A
k
a
B₁
P₁
b
C
P₂
-P3
Transcribed Image Text:IV. An Aluminum bar AD (see figure) has a cross-sectional area of 250 mm2 and is loaded by forces P1 = 7560 N, P2 = 5340 N, and P3 = 5780 N. The lengths of the segments of the bar are a = 1525 mm, b = 610 mm, and c = 910 mm. (a) Assuming that the modulus of elasticity is E = 72 GPa, calculate the change in length 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? (c) If P3 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? A k a B₁ P₁ b C P₂ -P3
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