T12.2 Rotation due to Torsion

T12.2 Rotation due to Torsion - Rotation due to Torsion fA...

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Rotation due to Torsion f A = absolute rotation @ A f AB = relative angle of twist between A & B T12.2
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Angle of Twist, f c L
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Special Case Homogeneity in G, J, and T G(x)=G J(x)=J T(x)=T    00 () ( ) ( ) LL T x T TL dx dx J x G x JG JG T 0.25T 0.75T G 1 , J 1 G 2 , J 2 A B C
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Sign Convention
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Example The two steel shafts each have a diameter of 1-in. and are supported by bearings at A, B, and C, which allow free rotation. If the support at D is fixed, determine the rotation of end B when the torque of 60 lb-ft is applied to gear G. G st = 10.8x10 3 ksi.
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Example A disk is supported by two circular shafts attached to rigid walls. Shaft A is made
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T12.2 Rotation due to Torsion - Rotation due to Torsion fA...

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