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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
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- 0.05 rad
- 0.1 rad
- 0.5 rad
- 1.0 rad
Correct Option: B
= 20 Nm/rad | θMN |
T = 1 N.m
θMN = | rad | 20 |
θNO = | rad | 30 |
θOP = | rad | 60 |
The part MN, NO & OP are connected in series
θNP = θMN + θNO + θOP
= | + | + | = 0.1 rad. | |||
20 | 30 | 60 |
θ = 0.1 rad