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) $\frac{5}{192} \frac{w l^{4}}{E I}$

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