GATE CE 2016 Set 1 — Question 47
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Structural Engineering → Connections & Plastic Analysis → Plastic Analysis (Beams)
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Question
A propped cantilever of span carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is , the magnitude of the collapse load is
Correct answer
(B) (6Mₚ)/(L)
Solution
For a propped cantilever with a point load at mid-span, collapse occurs when plastic hinges form at the fixed support and under the load.
Using the principle of virtual work:
Internal work (hinge at support and under load).
External work .
Equating .
Using the principle of virtual work:
Internal work (hinge at support and under load).
External work .
Equating .
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