A simply supported beam of span length L and flexure stiffness EI has another spring support at the centre span of stiffness K as shown in figure. The central deflection of the beam due to a central concentrated load of P would be

\( \frac{{P{L^3}}}{{48EI {}}} \times \frac{P}{K}\)

\( \frac{{P{L^3}}}{{48EI {}}} +\frac{P}{K}\)

\( \frac{{P{L^3}}}{{48EI + K{L^3}}} \)

\( \frac{{P{L^3}}}{{48EI {}}} +{K}\)

A simply supported beam of span length L and flexure stiffness EI has

1.	A simply supported beam of span length L and flexure stiffness EI has another spring support at the centre span of stiffness K as shown in figure. The central deflection of the beam due to a central concentrated load of P would be
A.	\( \frac{{P{L^3}}}{{48EI {}}} +\frac{P}{K}\)
B.	\( \frac{{P{L^3}}}{{48EI + K{L^3}}} \)
C.	\( \frac{{P{L^3}}}{{48EI {}}} \times \frac{P}{K}\)
D.	\( \frac{{P{L^3}}}{{48EI {}}} +{K}\)
Answer» C. \( \frac{{P{L^3}}}{{48EI {}}} \times \frac{P}{K}\)

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A simply supported beam of span length L and flexure stiffness EI has another spring support at the centre span of stiffness K as shown in figure. The central deflection of the beam due to a central concentrated load of P would be

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