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A cantilever beam of length L and a cross section with shape factor f supports a concentrated load P as shown below:
The length Lp of the plastic zone, when the maximum bending moment, equals the plastic moment Mp, given by
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LP = 1 L f -
LP L(1 - f) L -
LP =1 - 1 L √f -
LP =1 - 1 L f
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Correct Option: D
From similar triangles,
| = | ||||
| MP - Me | MP |
| = L |  | 1 - |  | MP |
| = L | | 1 - | | f |
| ∴ | = 1 - | |||
| L | f |
