2.3-4 A rectangular bar of length L has a slot in the mid- dle half of its length (see figure). The bar has width b, thickness, and modulus of elasticity E. The slot has width b/4. (a) Obtain a formula for the elongation & of the bar due to the axial loads P. (b) Calculate the elongation of the bar if the material is high-strength steel, the axial stress in the middle region is 160 MPa, the length is 750 mm, and the modulus of elas- ticity is 210 GPa. (c) If the total elongation of the bar is limited to = 0.475 mm, what is the maximum length of the slotted region? Assume that the axial stress in the middle region remains at 160 MPa. 8 b P 4 Je b -4 P 4 L PROBS. 2.3-4 and 2.3-5 Answers: a) 8 = 7PL/(6Ebt); b) 8 = 0.5 mm; c) Lslot = 244 mm 8max = 0.5 mm the length is L = 760 mm, and the modul 2.3-5 Solve the preceding problem if the axial straro L 14/1272
2.3-4 A rectangular bar of length L has a slot in the mid- dle half of its length (see figure). The bar has width b, thickness, and modulus of elasticity E. The slot has width b/4. (a) Obtain a formula for the elongation & of the bar due to the axial loads P. (b) Calculate the elongation of the bar if the material is high-strength steel, the axial stress in the middle region is 160 MPa, the length is 750 mm, and the modulus of elas- ticity is 210 GPa. (c) If the total elongation of the bar is limited to = 0.475 mm, what is the maximum length of the slotted region? Assume that the axial stress in the middle region remains at 160 MPa. 8 b P 4 Je b -4 P 4 L PROBS. 2.3-4 and 2.3-5 Answers: a) 8 = 7PL/(6Ebt); b) 8 = 0.5 mm; c) Lslot = 244 mm 8max = 0.5 mm the length is L = 760 mm, and the modul 2.3-5 Solve the preceding problem if the axial straro L 14/1272
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Help with Part (c) please
Transcribed Image Text:2.3-4 A rectangular bar of length L has a slot in the mid-
dle half of its length (see figure). The bar has width b,
thickness, and modulus of elasticity E. The slot has
width b/4.
(a) Obtain a formula for the elongation & of the bar
due to the axial loads P.
(b) Calculate the elongation of the bar if the material
is high-strength steel, the axial stress in the middle region
is 160 MPa, the length is 750 mm, and the modulus of elas-
ticity is 210 GPa.
(c) If the total elongation of the bar is limited to
= 0.475 mm, what is the maximum length of the
slotted region? Assume that the axial stress in the middle
region remains at 160 MPa.
8
b
P
4
Je
b
-4
P
4
L
PROBS. 2.3-4 and 2.3-5
Answers: a) 8 = 7PL/(6Ebt); b) 8 = 0.5 mm; c) Lslot = 244 mm
8max = 0.5 mm
the length is L = 760 mm, and the modul
2.3-5 Solve the preceding problem if the axial straro
L
14/1272
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