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A propped cantilever of span L carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is Mₚ, the magnitude of the collapse load is

1. 8Mₚ/L
2. 6Mₚ/L
3. 4Mₚ/L
4. 2Mₚ/L

Correct answer: 6Mₚ/L

Solution

The collapse load for a propped cantilever under a mid-span concentrated load can be determined using plastic analysis, which shows that the structure can sustain a maximum load of 6 times the plastic moment capacity divided by the span length, reflecting the balance of moments and the formation of plastic hinges.

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