Direction: Beam GHI is supported by three pontoons as shown in the figure below. The horizontal cross-sectional area of each pontoon is 8 m2, the flexural rigidity of the beam is 10000 kN–m2 and the unit weight of water is 10 kN/m3.
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When the middle pontoon is brought back to its position as shown in the figure above, the reaction at H will be
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- 8.6 kN
- 15.7 kN
- 19.2 kN
- 24.2 kN
Correct Option: C
| δ = | 48EI |
x × A × rw = R'
(buoyant force, R' = RG = R1)
⇒ x × A × w = R'
| ∴ x = | 80 |
2R' + R = 48
(x + δ).A × δω = R
∴ (x + δ) × 8 × 10 = R
| ⇒ | + δ = | |||
| 2 × 80 | 80 |
| δ = | 160 |
| = | = 19.2kN | 48 × 104 |
