Find the deflection of the free end of a cantilever beam carrying a concentrated load P at the free end.
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A.
δ=PL / 34EI
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B.
δ=PL / 3EI
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C.
δ=PL / 5EI
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D.
δ=PL / 365EI
Correct Answer:
B. δ=PL / 3EI
Explanation:
The standard formula for the maximum deflection of a cantilever beam with a point load P applied at the free end is δ = PL³/3EI. This formula is derived using structural analysis methods, such as the double integration method, where the deflection occurs at the furthest point from the fixed support. Among the provided options, δ=PL³/3EI is the correct mathematical expression for this specific loading condition.
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