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Question

Two shafts AB and BC, of equal length and diameters d and 2d, are made of the same material. They are joined at B through a shaft coupling, while the ends A and C are built-in(cantilevered). A twisting moment T is applied to the coupling. If TA and TC represent the twisting moments at the ends A and C, respectively, then



A
TC=TA
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B
TC=8TA
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C
TC=16TA
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D
TA=16TC
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Solution

The correct option is C TC=16TA
Angular deflection in both shafts are same

θAB=θBC

TA×LG×π32×d4=TC×LG×π32×(2d)4

TA=TC16

TC=16TA

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