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Strength Of Materials Miscellaneous

Strength Of Materials

  1. A torque of 1.0 Nm is transmitted through a stepped shaft as shown in figure. The torsional stiffness's of individual sections of lengths M N, NO and OP are 20 Nm/rad, 30 Nm/rad and 60 Nm/rad respectively. The angular deflection between the ends M and P of the shaft is
    1. 0.05 rad
    2. 0.1 rad
    3. 0.5 rad
    4. 1.0 rad
Correct Option: B


T
= 20 Nm/rad
θMN

T = 1 N.m
θMN =
1
rad
20

θNO =
1
rad
30

θOP =
1
rad
60

The part MN, NO & OP are connected in series
θNP = θMN + θNO + θOP
=
1
+
1
+
1
= 0.1 rad.
203060

θ = 0.1 rad



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