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A tapered circular rod of diameter varying from 20 mm to 10 mm is connected to another uniform circular rod of diameter 10 mm as shown in the following figure. Both bars are made of same material with the modulus of elasticity, E = 2 × 105 MPa. When subjected to a load P= 30π kN, the deflection at point A is ________ mm.
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- 12
- 13
- 15
- 32
Correct Option: C
| ∆1 = | = | |||
| AE | πd1d2.E |
| = | = 6 mm | π × 20 × 10 × 2 × 105 |
| ∆2 = | AE |
| = | = 9 mm | π × 10 × 10 × 2 × 105 |
∴ ∆ = ∆1 + ∆2 = 15 mm
