GATE Civil Engineering (CE) 2020 Shift 1 Solved Paper

Question : 53 of 65

Marks: +1, -0

A cantilever beam PQ of uniform flexural rigidity (EI) is subjected to a concentrated momentM at R as shown in the figure

The deflection at the free end

Q

Solution:

δ_{ {R}}+θ_{ {R}} ⋅ \;{ {L}}/{2}

\;\; =\;{ {M}({ {L}}/{2})^{2}}/{2 {EI}}+\;{ {M} { {L}}/{2}}/{ {EI}} × \;{ {L}}/{2}

\;\; =\;{3}/{8} \;{ {ML}^{2}}/{ {EI}}

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