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A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is I and the Young's modulus is E The magnitude of the maximum deflection is
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ML² 3EI -
ML² EI -
2ML² 2EI -
4ML² EI
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Correct Option: A
| EI = | = M | |
| dx |
On Integration, we get
| EI = | = Mx + C1 | |
| dx |
Again integrating, we get
| EIy = | + C1x + C2 | |
| 2 |
For cantilever beam at x = 0,
| = 0 | |
| dx |
and x = 0; y = 0
From this we get C1 = C1 = 0
| ∴ y = | |
| 2EI |
| Maximum deflection, ymax = | |
| 2EI |
