The composite shaft consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 8.3125 in., a wall thickness of 2.91 in., and a length of L₁ = 16 ft. Steel pipe (2) has an outside diameter of 6.875 in., a wall thickness of 1.56 in., and a length of L₂ = 25 ft. Both pipes have a shear modulus of 14400 ksi. If a concentrated torque of 40 kip-ft is applied to flange B, determine: (a) the maximum shear stress magnitudes T₁, T₂ in pipes (1) and (2). (b) the rotation angle (BIA of flange B relative to support A. Answers: (a) T₁ = (b) PBIA = i L (1) 3.1126 B i 0.572116 TB L2 2 ksi, T₂ = C 1.78126 ksi.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
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Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...
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The composite shaft consists of two steel pipes that are connected at flange B and securely attached to
rigid walls at A and C. Steel pipe (1) has an outside diameter of 8.3125 in., a wall thickness of 2.91 in., and
a length of L₁ = 16 ft. Steel pipe (2) has an outside diameter of 6.875 in., a wall thickness of 1.56 in., and a
length of L₂ = 25 ft. Both pipes have a shear modulus of 14400 ksi. If a concentrated torque of 40 kip-ft is
applied to flange B, determine:
(a) the maximum shear stress magnitudes T₁, T₂ in pipes (1) and (2).
(b) the rotation angle PBIA of flange B relative to support A.
Answers:
(a) T₁ =
(b) PBIA =
i
Lu
(1)
3.1126
B
0.572116
TB
L2
@
ksi, T₂ =
C
1.78126
x
ksi.
Transcribed Image Text:The composite shaft consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 8.3125 in., a wall thickness of 2.91 in., and a length of L₁ = 16 ft. Steel pipe (2) has an outside diameter of 6.875 in., a wall thickness of 1.56 in., and a length of L₂ = 25 ft. Both pipes have a shear modulus of 14400 ksi. If a concentrated torque of 40 kip-ft is applied to flange B, determine: (a) the maximum shear stress magnitudes T₁, T₂ in pipes (1) and (2). (b) the rotation angle PBIA of flange B relative to support A. Answers: (a) T₁ = (b) PBIA = i Lu (1) 3.1126 B 0.572116 TB L2 @ ksi, T₂ = C 1.78126 x ksi.
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