The figure shows a cutaway view of an assembly in which a solid bronze [G = 6,500 ksi] rod (1) is fitted inside of an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at A. The rod diameter is d₁ = 1.65 in. The outside diameter of the tube is D2 = 3.6 in. and its wall thickness is t2 = 0.155 in. Overall dimensions of the assembly are a = 42 in. and b = 12 in. The allowable shear stresses for the bronze and aluminum materials are 9500 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.9°. Based on these constraints, what is the maximum torque Tg that can be applied at end B?
The figure shows a cutaway view of an assembly in which a solid bronze [G = 6,500 ksi] rod (1) is fitted inside of an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at A. The rod diameter is d₁ = 1.65 in. The outside diameter of the tube is D2 = 3.6 in. and its wall thickness is t2 = 0.155 in. Overall dimensions of the assembly are a = 42 in. and b = 12 in. The allowable shear stresses for the bronze and aluminum materials are 9500 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.9°. Based on these constraints, what is the maximum torque Tg that can be applied at end B?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
The figure shows a cutaway view of an assembly in which a solid bronze [G = 6,500 ksi] rod (1) is fitted inside of an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at A. The rod diameter is d1 = 1.65 in. The outside diameter of the tube is D2 = 3.6 in. and its wall thickness is t2 = 0.155 in. Overall dimensions of the assembly are a = 42 in. and b = 12 in. The allowable shear stresses for the bronze and aluminum materials are 9500 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.9°. Based on these constraints, what is the maximum torque TB that can be applied at end B?
![The figure shows a cutaway view of an assembly in which a solid bronze [G = 6,500 ksi] rod (1) is fitted inside of
an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the
tube are welded to a rigid end plate at A. The rod diameter is d₁ = 1.65 in. The outside diameter of the tube is
D₂ = 3.6 in. and its wall thickness is t2 = 0.155 in. Overall dimensions of the assembly are a = 42 in. and b = 12 in.
The allowable shear stresses for the bronze and aluminum materials are 9500 psi and 7800 psi, respectively.
Further, the rotation angle of end B must be limited to a magnitude of 4.9°. Based on these constraints, what is
the maximum torque TB that can be applied at end B?
Fixed
End
12
plate
plate
d₁
Rod (1)
Tube (2)
a
D₂
Answer:
TB =
A
Ib.in
b
TB
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F749be18b-22f2-4fe5-9f05-6fa35acbb4d0%2Fb42021c9-b397-4599-b3b7-fc85f6bf7202%2Fdffdu1h_processed.png&w=3840&q=75)
Transcribed Image Text:The figure shows a cutaway view of an assembly in which a solid bronze [G = 6,500 ksi] rod (1) is fitted inside of
an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the
tube are welded to a rigid end plate at A. The rod diameter is d₁ = 1.65 in. The outside diameter of the tube is
D₂ = 3.6 in. and its wall thickness is t2 = 0.155 in. Overall dimensions of the assembly are a = 42 in. and b = 12 in.
The allowable shear stresses for the bronze and aluminum materials are 9500 psi and 7800 psi, respectively.
Further, the rotation angle of end B must be limited to a magnitude of 4.9°. Based on these constraints, what is
the maximum torque TB that can be applied at end B?
Fixed
End
12
plate
plate
d₁
Rod (1)
Tube (2)
a
D₂
Answer:
TB =
A
Ib.in
b
TB
B
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning