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Question

The flexural rigidity (EI) of a cantilever beam is assumed to be constant over the length of the beam shown in figure. If a load P and bending moment PL/2 are applied at the free end of the beam then the value of the slope at the free end is

A
12PL2EI
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B
PL2EI
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C
32PL2EI
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D
52PL2EI
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Solution

The correct option is B PL2EI
θ1=PL22EI
θ2=MLEI=PL22EI
By superposition,
θ=θ1+θ2=PL2EI

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