The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.90 in., a length of L₁ = 55 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.6 ksi. Brass segment (2) has an outside diameter of 0.75 in., a wall thickness of 0.06 in., a length of L₂ = 20 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.4 ksi. Determine: (a) the allowable torque TB that can be applied to the compound shaft at flange B. (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB. L₁ L2 Answer: (a) TB = (b) T₁ = T₂ = (c) DB = (1) TB lb-ft lb-ft lb-ft rad B

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.90 in., a length of L1 = 55 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.6 ksi. Brass segment (2) has an outside diameter of 0.75 in., a wall thickness of 0.06 in., a length of L2 = 20 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.4 ksi. Determine: (a) the allowable torque Tg that can be applied to the compound shaft at flange B (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque T.
The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are
connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter
of 0.90 in., a length of L₁ = 55 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.6 ksi. Brass
segment (2) has an outside diameter of 0.75 in., a wall thickness of 0.06 in., a length of L₂ = 20 in., a shear
modulus of 6400 ksi, and an allowable shear stress of 8.4 ksi. Determine:
(a) the allowable torque TB that can be applied to the compound shaft at flange B.
(b) the magnitudes of the internal torques in segments (1) and (2).
(c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB.
L₁
L2
Answer:
(a) TB =
(b) T₁ =
T₂ =
(c) DB =
(1)
TB
lb-ft
lb-ft
lb-ft
rad
B
(2)
C
Transcribed Image Text:The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.90 in., a length of L₁ = 55 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.6 ksi. Brass segment (2) has an outside diameter of 0.75 in., a wall thickness of 0.06 in., a length of L₂ = 20 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.4 ksi. Determine: (a) the allowable torque TB that can be applied to the compound shaft at flange B. (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB. L₁ L2 Answer: (a) TB = (b) T₁ = T₂ = (c) DB = (1) TB lb-ft lb-ft lb-ft rad B (2) C
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Laws of equilibrium
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning