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Problem on Torsion; Shaft in Series

A composite shaft ABC is as shown in fig. A clockwise torque of 2000 Nm is applied at section B common to both the shafts. Plot stress distribution for shaft AB and for shaft BC.

Take Gs=80 GPa and Gc=40 GPa. Calculate the twist of section B. part 1

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part 1 of 2 part 2 of 2

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$J_p ] = \frac{\pi}{32} \times 60^4 = 1.272 \times 10^6 \ mm^4$

$J_p ]_c = \frac{\pi}{32} [ 75^2 – 45^2] = 2.704 \times 10^6 \ mm^4$

ET = 0

$T_A + T_c = 2000$ - [1]

$\theta_s ]_B = \theta_c ]_B$

$\frac{TA \ \times 1200}{80 \times 10^3 \times 1.272 \times …

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