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.

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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PLEASE ANSWER PART 4 and 5 Part 1 Calculate the polar moments of inertia in segments (1) and (2). Answer: J₁ = 13.84 in.⁴ J₂= 1.535 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. Answer: T₁ = 800 Ib-ft, T₂= -800 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. Answer: τ₁ = 1560.69 psi, τ₂ = -7817.59 psi Part 4 (PLEASE ANSWER) Determine the rotation angle of B with respect to the support at A. Please Answer: φB= rad. Part 5 (PLEASE ANSWER) Determine the rotation angle of C with respect to the support at A. Please Answer: φC= rad.
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, TB-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.
Part 1
Correct
(1)
L₁
TB
Answers: J₁ = 13.84
BO
(2)
L2
Tc
C
Calculate the polar moments of inertia in segments (1) and (2).
X
in.4.J₂= 1.535
in.4
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, TB-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. Part 1 Correct (1) L₁ TB Answers: J₁ = 13.84 BO (2) L2 Tc C Calculate the polar moments of inertia in segments (1) and (2). X in.4.J₂= 1.535 in.4
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