3-3 A steel bar AD (see figure) h- ea of 0.40 in.2 and is loaded by fo-

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Only problem 2.3-3
2700 lb,
2.3-3 A steel bar AD (see figure) has a cross-sectional
area of 0.40 in.² and is loaded by forces P₁
1800 lb, and P3 1300 lb. The lengths of the
= 60 in., b = 24 in., and c = 36 in.
P2
segments of the bar are a =
(a) Assuming that the modulus of elasticity E
30 x 106 psi, 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?
=
A
1602
k
PROB. 2.3-3
B
=
P1
b
C
P2
1
- P3
2.3-4 A rectangular bar of length L has a slot in the middle
half of its length (see figure). The bar has width b, thickness
and modulus of elasticity E. The slot has width b/4.
to the axial loads P.
(a) Obtain a formula for the elongation of the bar due
(b) Calculate the elongation of the bar if the material is
high-strength steel, the axial stress in the middle
15
region
Transcribed Image Text:2700 lb, 2.3-3 A steel bar AD (see figure) has a cross-sectional area of 0.40 in.² and is loaded by forces P₁ 1800 lb, and P3 1300 lb. The lengths of the = 60 in., b = 24 in., and c = 36 in. P2 segments of the bar are a = (a) Assuming that the modulus of elasticity E 30 x 106 psi, 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? = A 1602 k PROB. 2.3-3 B = P1 b C P2 1 - P3 2.3-4 A rectangular bar of length L has a slot in the middle half of its length (see figure). The bar has width b, thickness and modulus of elasticity E. The slot has width b/4. to the axial loads P. (a) Obtain a formula for the elongation of the bar due (b) Calculate the elongation of the bar if the material is high-strength steel, the axial stress in the middle 15 region
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