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
1
\( \frac{{P{L^3}}}{{48EI {}}} +\frac{P}{K}\)
2
\( \frac{{P{L^3}}}{{48EI + K{L^3}}} \)
3
\( \frac{{P{L^3}}}{{48EI {}}} \times \frac{P}{K}\)
4
\( \frac{{P{L^3}}}{{48EI {}}} +{K}\)