A hollow steel cylinder is compressed by a force P (see figure). The cylinder has inner diameter d1 = 4 in., outer diameter d2 = 4.5 in., and modulus of elasticity E=30,000 ksi. When the force P increases from zero to 40 k, the outer diameter of the cylinder increases by 455 x 10^-6 in. Determine the following; a) lateral strain. [Select] b) increase in the inner diameter. [Select] [Select] 0.0003981 0.0004044 0.0004995 0.00002844 c) increase in the wall thickness. d) axial stress. [Select] e) axial strain. [Select] f) Poisson's ratio for the steel. [Select]
A hollow steel cylinder is compressed by a force P (see figure). The cylinder has inner diameter d1 = 4 in., outer diameter d2 = 4.5 in., and modulus of elasticity E=30,000 ksi. When the force P increases from zero to 40 k, the outer diameter of the cylinder increases by 455 x 10^-6 in. Determine the following; a) lateral strain. [Select] b) increase in the inner diameter. [Select] [Select] 0.0003981 0.0004044 0.0004995 0.00002844 c) increase in the wall thickness. d) axial stress. [Select] e) axial strain. [Select] f) Poisson's ratio for the steel. [Select]
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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please answer all the questions with complete solutions and draw a proper free body diagram. Thank you
![A hollow steel cylinder is compressed by a force P (see figure). The cylinder has inner diameter d1 = 4 in., outer diameter d2 = 4.5 in., and modulus of elasticity E=30,000 ksi. When the force P increases from zero to 40k, the outer diameter of the cylinder increases by 455 x
10^-6 in.
Determine the following;
a) lateral strain. [ Select]
b) increase in the inner diameter.
c) increase in the wall thickness.
d) axial stress. [Select]
e) axial strain. [Select]
f) Poisson's ratio for the steel.
TH
[Select]
[Select]
0.0003981
0.0004044
0.0004995
0.00002844
[Select]
V
V](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3909db5-94d5-48b0-af89-f12cfc51d19c%2F11dd0c7c-0403-422c-a301-9c4b789d07be%2Frhertl_processed.png&w=3840&q=75)
Transcribed Image Text:A hollow steel cylinder is compressed by a force P (see figure). The cylinder has inner diameter d1 = 4 in., outer diameter d2 = 4.5 in., and modulus of elasticity E=30,000 ksi. When the force P increases from zero to 40k, the outer diameter of the cylinder increases by 455 x
10^-6 in.
Determine the following;
a) lateral strain. [ Select]
b) increase in the inner diameter.
c) increase in the wall thickness.
d) axial stress. [Select]
e) axial strain. [Select]
f) Poisson's ratio for the steel.
TH
[Select]
[Select]
0.0003981
0.0004044
0.0004995
0.00002844
[Select]
V
V
![A hollow steel cylinder is compressed by a force P (see figure). The cylinder has inner diameter d1 = 4 in., outer diameter d2 = 4.5 in., and modulus of elasticity E= 30,000 ksi. When the force P increases from zero to 40 k, the outer diameter of the cylinder increases by 455 x
10^-6 in.
Determine the following;
a) lateral strain.
[Select]
[Select]
b) increase in th 0.00009479
0.0004995
0.0001011
c) increase in the 0.000111
d) axial stress. [Select]
e) axial strain.
[Select]
f) Poisson's ratio for the steel.
[Select]
V
V
V](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3909db5-94d5-48b0-af89-f12cfc51d19c%2F11dd0c7c-0403-422c-a301-9c4b789d07be%2F0elotdi_processed.png&w=3840&q=75)
Transcribed Image Text:A hollow steel cylinder is compressed by a force P (see figure). The cylinder has inner diameter d1 = 4 in., outer diameter d2 = 4.5 in., and modulus of elasticity E= 30,000 ksi. When the force P increases from zero to 40 k, the outer diameter of the cylinder increases by 455 x
10^-6 in.
Determine the following;
a) lateral strain.
[Select]
[Select]
b) increase in th 0.00009479
0.0004995
0.0001011
c) increase in the 0.000111
d) axial stress. [Select]
e) axial strain.
[Select]
f) Poisson's ratio for the steel.
[Select]
V
V
V
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can you answer this too please with free body diagram and complete solutioin
![For the aluminum shaft shown (G= 27 GPa), determine
(a) the torque T that causes an angle of twist of 3.5% [Select]
[Select]
[Select]
12 mm
(c) the angle of twist caused by the same torque T in a solid cylindrical shaft of the same length: 8.72 mm
13.56 mm
8.25 mm
(b) the radius of solid cylindrical shaft of the same cross sectional area of the given hollow shaft.
16mm
2m
18mm
V
given hollow shaft. [Select]](https://content.bartleby.com/qna-images/question/e3909db5-94d5-48b0-af89-f12cfc51d19c/ed3fb716-fc9e-49f9-9d76-9f8bc9221e9b/h8zk5j9_processed.png)
Transcribed Image Text:For the aluminum shaft shown (G= 27 GPa), determine
(a) the torque T that causes an angle of twist of 3.5% [Select]
[Select]
[Select]
12 mm
(c) the angle of twist caused by the same torque T in a solid cylindrical shaft of the same length: 8.72 mm
13.56 mm
8.25 mm
(b) the radius of solid cylindrical shaft of the same cross sectional area of the given hollow shaft.
16mm
2m
18mm
V
given hollow shaft. [Select]
![For the aluminum shaft shown (G= 27 GPa), determine
(a) the torque T that causes an angle of twist of 3.5 [Select]
[Select]
104.89 Nm
(b) the radius of solid cylindrical shaft of the same c 125.56 Nm
135.77 Nm
51.09 Nm
(c) the angle of twist caused by the same torque T in a solid cylindrical shaft of the same length and cross-sectional area of the given hollow shaft. [Select]
16mm
2m
18mm
V
hollow shaft. [Select]](https://content.bartleby.com/qna-images/question/e3909db5-94d5-48b0-af89-f12cfc51d19c/ed3fb716-fc9e-49f9-9d76-9f8bc9221e9b/gkpt3sm_processed.png)
Transcribed Image Text:For the aluminum shaft shown (G= 27 GPa), determine
(a) the torque T that causes an angle of twist of 3.5 [Select]
[Select]
104.89 Nm
(b) the radius of solid cylindrical shaft of the same c 125.56 Nm
135.77 Nm
51.09 Nm
(c) the angle of twist caused by the same torque T in a solid cylindrical shaft of the same length and cross-sectional area of the given hollow shaft. [Select]
16mm
2m
18mm
V
hollow shaft. [Select]
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