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A rigid bar is suspended by three rods made of the same material as shown in the figure. The area and length of the central rod are 3A and L, respectively while that of the two outer rods are 2A and 2L, respectively. If a downward force of 50 kN is applied to the rigid bar, the forces in the central and each of the outer rods will be
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- 16.67 kN each
- 30 kN and 15 kN
- 30 kN and 10 kN
- 21.4 kN and 14.3 kN
Correct Option: C
δl is same for 3 bars.
| δl = | AE |
∴ PC = 3Ps
∴ 2PC + Ps = 50
⇒ 2PC + 3Ps = 50
∴ Ps = 10 kN
∴ PC = 30 kN
