steel A aluminum 2 m- B 2m 9 m bronze C 3 m The assembly shown consists of a steel cylinder (E = 200 GPa, A = 150 mm2,= 12 um/m °C), an aluminum alloy cylinder (E = 70 GPa, A = 230 mm2, = 23 μm/m °C), and a hollow bronze tube (E = 100 GPa, A = 190 mm2, = 18 um/m °C) welded to the rigid bar at points A, B, and C, respectively. Initially, the system is stress-free. When the assembly is heated by 45°C, determine the normal stress (in MPa) in the bronze tube and the horizontal distance (in m) with reference to point A where the rigid bar tilts. Neglect the weight of the members. The answer should be: Obr= 8.9507 MPa, C, d= 4.6625 m
steel A aluminum 2 m- B 2m 9 m bronze C 3 m The assembly shown consists of a steel cylinder (E = 200 GPa, A = 150 mm2,= 12 um/m °C), an aluminum alloy cylinder (E = 70 GPa, A = 230 mm2, = 23 μm/m °C), and a hollow bronze tube (E = 100 GPa, A = 190 mm2, = 18 um/m °C) welded to the rigid bar at points A, B, and C, respectively. Initially, the system is stress-free. When the assembly is heated by 45°C, determine the normal stress (in MPa) in the bronze tube and the horizontal distance (in m) with reference to point A where the rigid bar tilts. Neglect the weight of the members. The answer should be: Obr= 8.9507 MPa, C, d= 4.6625 m
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter8: Engineering Materials
Section: Chapter Questions
Problem 8.2P
Related questions
Question
![steel
A
aluminum
2 m
B
2 m
9 m
bronze
с
3 m
The assembly shown consists of a steel cylinder (E = 200 GPa, A = 150 mm2,= 12 µm/m-°C),
an aluminum alloy cylinder (E = 70 GPa, A = 230 mm2, = 23 µm/m °C), and a hollow bronze
tube (E = 100 GPa, A = 190 mm2, = 18 μm/m-°C) welded to the rigid bar at points A, B, and C,
respectively. Initially, the system is stress-free. When the assembly is heated by 45°C,
determine the normal stress (in MPa) in the bronze tube and the horizontal distance (in m) with
reference to point A where the rigid bar tilts. Neglect the weight of the members.
The answer should be: Obr = 8.9507 MPa, C, d = 4.6625 m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7851a029-ae4d-4b62-a986-6b519b0e0741%2F9187b00d-0247-4e1d-a4ae-ecca4671e1a6%2F0ko4fr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:steel
A
aluminum
2 m
B
2 m
9 m
bronze
с
3 m
The assembly shown consists of a steel cylinder (E = 200 GPa, A = 150 mm2,= 12 µm/m-°C),
an aluminum alloy cylinder (E = 70 GPa, A = 230 mm2, = 23 µm/m °C), and a hollow bronze
tube (E = 100 GPa, A = 190 mm2, = 18 μm/m-°C) welded to the rigid bar at points A, B, and C,
respectively. Initially, the system is stress-free. When the assembly is heated by 45°C,
determine the normal stress (in MPa) in the bronze tube and the horizontal distance (in m) with
reference to point A where the rigid bar tilts. Neglect the weight of the members.
The answer should be: Obr = 8.9507 MPa, C, d = 4.6625 m
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Step 1: State the given data
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VIEWStep 3: Equilibrium equations
VIEWStep 4: Deflection of steel
VIEWStep 5: Deflection of aluminum and bronze
VIEWStep 6: Relation from deflection in steel and aluminum
VIEWStep 7: Relation from deflection in steel and bronze
VIEWStep 8: Relation from deflection in aluminum and bronze
VIEWStep 9: Stress in bronze
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