PLEASE ANSWER ?? ?Part 1 Calculate the polar moments of inertia in segments (1) and (2). Please Answer: J₁ = in.⁴ J₂= in. ⁴ ?Part 2 Calculate the internal torques T1 and T2 in shaft segments (1) and (2), respectively. On paper, prepare an internal torque diagram for the compound shaft that shows these internal torques. Use the sign convention presented in Section 6-6. Please Answer: T₁ = Ib-ft, T₂= Ib-ft. ?Part 3 Calculate the maximum shear stress in each shaft segment. On paper, prepare a diagram that shows the maximum shear stress in segments (1) and (2) of the shaft. Use the sign convention presented in Section 6-6. Please Answer: τ₁ = psi, τ₂ = psi ?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.11.13P: A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of...
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PLEASE ANSWER ?? ?Part 1 Calculate the polar moments of inertia in segments (1) and (2). Please Answer: J₁ = in.⁴ J₂= in. ⁴ ?Part 2 Calculate the internal torques T1 and T2 in shaft segments (1) and (2), respectively. On paper, prepare an internal torque diagram for the compound shaft that shows these internal torques. Use the sign convention presented in Section 6-6. Please Answer: T₁ = Ib-ft, T₂= Ib-ft. ?Part 3 Calculate the maximum shear stress in each shaft segment. On paper, prepare a diagram that shows the maximum shear stress in segments (1) and (2) of the shaft. Use the sign convention presented in Section 6-6. Please Answer: τ₁ = psi, τ₂ = psi ?Part 4 Determine the rotation angle of B with respect to the support at A. Please Answer: φB= rad. ?Part 5 Determine the rotation angle of C with respect to the support at A. Please Answer: φC= rad. Thank you so much in advance
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 = 4.50 in., a wall thickness of t₁ = 0.225 in., and a shear modulus of G₁ = 3800 ksi. Steel segment (2) is a tube with an
outside diameter of D₂ = 2.50 in., a wall thickness of t₂ = 0.150 in., and a shear modulus of G₂ = 10500 ksi. The compound shaft is
subjected to the torques shown. Assume that L₁=9 ft, L₂=6 ft, Tg-1600 lb-ft and Tc-800 lb-ft.
(a) Prepare a diagram that shows the internal torque and the maximum shear stress in segments (1) and (2) of the shaft. Use the sign
convention presented in Section 6-6.
(b) Determine the rotation angle of B with respect to the support at A.
(c) Determine the rotation angle of C with respect to the support at A.
(1)
L₁
TB
B
(2)
L2
Tc
Transcribed Image Text: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 = 4.50 in., a wall thickness of t₁ = 0.225 in., and a shear modulus of G₁ = 3800 ksi. Steel segment (2) is a tube with an outside diameter of D₂ = 2.50 in., a wall thickness of t₂ = 0.150 in., and a shear modulus of G₂ = 10500 ksi. The compound shaft is subjected to the torques shown. Assume that L₁=9 ft, L₂=6 ft, Tg-1600 lb-ft and Tc-800 lb-ft. (a) Prepare a diagram that shows the internal torque and the maximum shear stress in segments (1) and (2) of the shaft. Use the sign convention presented in Section 6-6. (b) Determine the rotation angle of B with respect to the support at A. (c) Determine the rotation angle of C with respect to the support at A. (1) L₁ TB B (2) L2 Tc
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