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A cantilever beam having square cross-section of side a is subjected to an end load, If a is increased by 19%, the tip deflection decreases approximately by
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- 19%
- 29%
- 41%
- 50%
Correct Option: D
For cantilever beam with an end load.
| δ = | |
| 3EI |
| δ ∝ | |
| I |
| = | ||
| δ2 | I1 |
| = | = 2.005 | ||
| δ2 | a4 |
| δ2 = | = 0.5δ1 | |
| 0.005 |
| × 100 = 50% | |
| δ1 |