-
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

-
- 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