Answered: The compound shaft shown consists of…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment (1) is a tube with an outside diameter of Dy = 3.95 in., a wall thickness of t1 = 0.25 in., and a shear modulus of G1 = 4,000 ksi. Steel segment (2) is a tube with an outside diameter of D2 = 2.15 in., a wall thickness of t2 = 0.125 in., and a shear modulus of G2 = 12,000 ksi. The compound shaft is subjected to torques applied at B and C as shown. Determine the rotation angle of C with respect to the support at A.

The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment (1) is a tube with an outside
diameter of D₁ = 3.95 in., a wall thickness of t₁ = 0.25 in., and a shear modulus of G₁ = 4,000 ksi. Steel segment (2) is a tube with an
outside diameter of D₂ = 2.15 in., a wall thickness of t₂ = 0.125 in., and a shear modulus of G₂ = 12,000 ksi. The compound shaft is
subjected to torques applied at B and C as shown. Determine the rotation angle of C with respect to the support at A.
(1)
9 ft
-0.0169 rad
-0.0231 rad
-0.0142 rad
-0.0251 rad
-0.0269 rad
1,700 lb-ft
B
6 ft
650 lb-ft
X

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