A simply supported beam is subjected to a uniformly distributed load of intensity $w$ per unit length, on half of the span from one end. The length of the span and the flexural stiffness are denoted as $l$ and $E I$, respectively. The deflection at mid-span of the beam is
(A) $\frac{5}{6144} \frac{w l^{4}}{E I}$
(B) $\frac{5}{768} \frac{w l^{4}}{E I}$
(C) $\frac{5}{384} \frac{w l^{4}}{E I}$
(D) $\frac{5}{192} \frac{w l^{4}}{E I}$
A simply supported beam is subjected to a uniformly distributed load of intensity $w$ per unit length, on half of the span from one end. The length of the span and the flexural stiffness are denoted as $l$ and $E I$, respectively. The deflection at mid-span of the beam is
(A) $\frac{5}{6144} \frac{w l^{4}}{E I}$
(B) $\frac{5}{768} \frac{w l^{4}}{E I}$
(C) $\frac{5}{384} \frac{w l^{4}}{E I}$
(D) $\frac{5}{192} \frac{w l^{4}}{E I}$