A solid circular rod with a a circular groove (r = 1.5 mm) and diameter D = 18 mm, Q4 is subjected to an axial loadP, as shown in figure below. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v subjected to the axial load P, the diameter of the rod (d) decreases by 0.025 mm. For a factor of safety of 1.75, Determine the magnitude of the safe allowable load P. 0.32. When %3D 个 D P

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.2.15P: An aluminum wire having a diameter d = 1/10 in. and length L = 12 ft is subjected to a tensile load...
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A solid circular rod with a a circular groove (r = 1.5 mm) and diameter D = 18 mm,
Q4
is subjected to an axial load P, as shown in figure below. The rod is made of an aluminum
alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v = 0.32. When
subjected to the axial load P, the diameter of the rod (d) decreases by 0.025 mm. For a
factor of safety of 1.75,
Determine the magnitude of the safe allowable load P.
|
P
rox
Ps
Transcribed Image Text:Paragraph A solid circular rod with a a circular groove (r = 1.5 mm) and diameter D = 18 mm, Q4 is subjected to an axial load P, as shown in figure below. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v = 0.32. When subjected to the axial load P, the diameter of the rod (d) decreases by 0.025 mm. For a factor of safety of 1.75, Determine the magnitude of the safe allowable load P. | P rox Ps
Styles
Paragraph
Font
3.0
1.15
26
105
22
K
102
Did = 1 50
18
14
0.05
0.10
0.15
0.20
0.25
0.30
rid
Figure A-15-13 Grooved round bar in tension (Mark your solution on this figure as well.)
Ind2
Nominal stress do = F/A, where A = T d/4. But actual stress, o = K.
= K,Go
4.
PRINCIPAL STRESSES AND THEIR ORIENTATIONS
Op2 = Oave-R
Opt = Cave + R.
Transcribed Image Text:Styles Paragraph Font 3.0 1.15 26 105 22 K 102 Did = 1 50 18 14 0.05 0.10 0.15 0.20 0.25 0.30 rid Figure A-15-13 Grooved round bar in tension (Mark your solution on this figure as well.) Ind2 Nominal stress do = F/A, where A = T d/4. But actual stress, o = K. = K,Go 4. PRINCIPAL STRESSES AND THEIR ORIENTATIONS Op2 = Oave-R Opt = Cave + R.
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