A cantilever beam PQ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at R as shown in the figure
The deflection at the free end Q is
A
3ML24EI
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B
3ML28EI
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C
ML24EI
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D
ML26EI
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Solution
The correct option is B3ML28EI We know that ΔQ=ΔQ1+ΔQ2...(1) ΔQ1=ΔR=M(L/2)22EI=ML28EI...(2) AndΔQ2=θR.(L2) =M(L2)EI×(L2) =ML24EI...(3)
From (1), (2) & (3) we can write ΔQ=ML28EI+ML24EI =(1+2)ML28EI ⇒ΔQ=3ML28EI