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For the linear elastic beam shown in the figure, the flexural rigidity. EI, is 781250 kN-m2. When w = 10 kN/m, the
vertical reaction RA at A is 50 kN. The value of RA for w = 100 kN/m is
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- 500 kN
- 425 kN
- 250 kN
- 75 kN
Correct Option: B
10 kN/ m load
| Deflection, δ = | 8EI |
| = | = 1 mm < 6 mm | 8 × 781250 |
∴ There is no reaction at B.
100 kN/m load
| Deflection, δ = | = 10 mm > 6 mm | 8EI |
Reaction at B = deflection prevented at B
= 10 – 6 = 4 mm.
| = 4 mm | 3EI |
| = 4 | 3 × 781250 |
∴ RB = 425 kN
This is the value of RA.
