Simply supported in both ends - Linearly distributed load

Table 6 Simply supported in both ends Linearly distributed load
$M (x)$	$= \frac{q \cdot x}{6 \cdot L} \cdot (L^{2} - x^{2})$
$V (x)$	$= \frac{q \cdot x}{2} \cdot (\frac{1}{3} - \frac{L^{2}}{x^{2}})$
$u (x)$	$= \frac{q \cdot L \cdot x}{180 \cdot E \cdot I \cdot L^{2}} \cdot (3 \cdot x^{4} - 10 \cdot L^{2} \cdot x^{2} + 7 \cdot L^{4})$
$M_{MAX}$	$= \frac{q \cdot L^{2}}{9 \cdot \sqrt{3}}$	at: $x = 0.5774 \cdot L$
$u_{MAX}$	$= 0.00652 \cdot \frac{q \cdot L^{4}}{E \cdot I}$	at: $x = 0.5193 \cdot L$
$u_{MID}$	$= \frac{5}{384} \cdot \frac{q \cdot L^{4}}{E \cdot I}$	at: $x = 0.5 \cdot L$
$γ_{A}$	$= \frac{7}{360} \cdot \frac{q \cdot L^{3}}{E \cdot I}$
$γ_{B}$	$= - \frac{8}{360} \cdot \frac{q \cdot L^{3}}{E \cdot I}$
$R_{A}$	$= \frac{q \cdot L}{6}$
$R_{B}$	$= \frac{q \cdot L}{3}$

Table 6 Simply supported in both ends Linearly distributed load