A prismatic propped cantilever beam of span L and plastic moment capacity {M_{p}} is subjected \alpha \frac{M_{p}}{L} to a concentrated load at its mid-span. If the collapse load of the beam is L the value of \alpha is __________

GATE Civil Engineering (CE) 2018 Shift 2 Solved Paper

Question : 45 of 65

Marks: +1, -0

A prismatic propped cantilever beam of span

L

and plastic moment capacity

{M_{p}}

is subjected

α \;{M_{p}}/{L}

to a concentrated load at its mid-span. If the collapse load of the beam is

L

the value of

α

is __________

Solution:

P_{u}=\;{6 M_{p}}/{I}

, α=6

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