13. A steel pipe of length L=150cm outside diameter d2 = 15 cm, and inside diameter d₁ =11cm is compressed by an axial force P=600kN (see figure). The material has modulus of elasticity E=210 GPa and Poisson's ratio v=0.30. Determine the following quantities for the pipe: (1) the shortening ; (2) the lateral strain &'; (3) the increase Ad2 in the outer diameter and the increase Ad₁ in the inner diameter; (4) the increase At in the wall thickness; (5) the increase AV in the volume of material, and (6) the dilatation e. d L 13) S= -0.42 mm (the pipe shortens) Ad2 1.575E-5 m Ad₁=1.155E-5 m At=0.21E-5 m AV=-14.682E-7 m^3 e=-0.00014 (0.014% reduction in volume of the material)
13. A steel pipe of length L=150cm outside diameter d2 = 15 cm, and inside diameter d₁ =11cm is compressed by an axial force P=600kN (see figure). The material has modulus of elasticity E=210 GPa and Poisson's ratio v=0.30. Determine the following quantities for the pipe: (1) the shortening ; (2) the lateral strain &'; (3) the increase Ad2 in the outer diameter and the increase Ad₁ in the inner diameter; (4) the increase At in the wall thickness; (5) the increase AV in the volume of material, and (6) the dilatation e. d L 13) S= -0.42 mm (the pipe shortens) Ad2 1.575E-5 m Ad₁=1.155E-5 m At=0.21E-5 m AV=-14.682E-7 m^3 e=-0.00014 (0.014% reduction in volume of the material)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.6.3P: -3 An element of aluminum in the form of a rectangular parallelepiped (see figure) of dimensions a =...
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![13.
A steel pipe of length L=150cm outside diameter
d2 = 15 cm, and inside diameter d₁ =11cm is compressed
by an axial force P=600kN (see figure). The material has
modulus of elasticity E=210 GPa and Poisson's ratio
v=0.30.
Determine the following quantities for the pipe: (1)
the shortening ; (2) the lateral strain &'; (3) the increase
Ad2 in the outer diameter and the increase Ad₁ in the inner
diameter; (4) the increase At in the wall thickness; (5) the
increase AV in the volume of material, and (6) the
dilatation e.
d
L](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9496fb66-15f0-4d2e-bc7e-ca3bb9b70577%2F4f423fa9-8423-4282-9130-d878d31d0b92%2F0exled_processed.png&w=3840&q=75)
Transcribed Image Text:13.
A steel pipe of length L=150cm outside diameter
d2 = 15 cm, and inside diameter d₁ =11cm is compressed
by an axial force P=600kN (see figure). The material has
modulus of elasticity E=210 GPa and Poisson's ratio
v=0.30.
Determine the following quantities for the pipe: (1)
the shortening ; (2) the lateral strain &'; (3) the increase
Ad2 in the outer diameter and the increase Ad₁ in the inner
diameter; (4) the increase At in the wall thickness; (5) the
increase AV in the volume of material, and (6) the
dilatation e.
d
L
![13)
S= -0.42 mm (the pipe shortens)
Ad2 1.575E-5 m
Ad₁=1.155E-5 m
At=0.21E-5 m
AV=-14.682E-7 m^3
e=-0.00014 (0.014% reduction in volume of the material)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9496fb66-15f0-4d2e-bc7e-ca3bb9b70577%2F4f423fa9-8423-4282-9130-d878d31d0b92%2Fz9lu1pt_processed.png&w=3840&q=75)
Transcribed Image Text:13)
S= -0.42 mm (the pipe shortens)
Ad2 1.575E-5 m
Ad₁=1.155E-5 m
At=0.21E-5 m
AV=-14.682E-7 m^3
e=-0.00014 (0.014% reduction in volume of the material)
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