A cantilever of length l, and flexural rigidity El, stiffened by a spring of stiffness k, is loaded by a transverse force P, as shown.The transverse deflection under the load is

\(\frac{{P{l^3}}}{{3EI}}\left[ {\frac{{3EI}}{{3EI\;+\;2k{l^3}}}} \right]\)

\(\frac{{P{l^3}}}{{3EI}}\left[ {\frac{{6EI\;-\;k{l^3}}}{{6EI}}} \right]\)

\(\frac{{P{l^3}}}{{3EI}}\left[ {\frac{{3EI\;-\;k{l^3}}}{{3EI}}} \right]\)

\(\frac{{P{l^3}}}{{3EI}}\left[ {\frac{{3EI}}{{3EI\;+\;k{l^3}}}} \right]\)

A cantilever of length l, and flexural rigidity El, stiffened by a spr

1.	A cantilever of length l, and flexural rigidity El, stiffened by a spring of stiffness k, is loaded by a transverse force P, as shown.The transverse deflection under the load is
A.	\(\frac{{P{l^3}}}{{3EI}}\left[ {\frac{{3EI}}{{3EI\;+\;2k{l^3}}}} \right]\)
B.	\(\frac{{P{l^3}}}{{3EI}}\left[ {\frac{{6EI\;-\;k{l^3}}}{{6EI}}} \right]\)
C.	\(\frac{{P{l^3}}}{{3EI}}\left[ {\frac{{3EI\;-\;k{l^3}}}{{3EI}}} \right]\)
D.	\(\frac{{P{l^3}}}{{3EI}}\left[ {\frac{{3EI}}{{3EI\;+\;k{l^3}}}} \right]\)
Answer» E.

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A cantilever of length l, and flexural rigidity El, stiffened by a spring of stiffness k, is loaded by a transverse force P, as shown.The transverse deflection under the load is

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