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→Sección del saco
| Línea 37: | Línea 37: | ||
\begin{align} | \begin{align} | ||
A_{saco} & = \left(L_v - \dfrac{\pi h}{3} \right) \times h + 2 \left(\pi \left(\dfrac{h}{2}\right)^2 \times \dfrac{2\alpha}{360} - \dfrac{1}{2} h \left(h^2 - \left(\dfrac{h}{2} \right)^2 \right) \right) \\ | A_{saco} & = \left(L_v - \dfrac{\pi h}{3} \right) \times h + 2 \left(\pi \left(\dfrac{h}{2}\right)^2 \times \dfrac{2\alpha}{360} - \dfrac{1}{2} h \left(h^2 - \left(\dfrac{h}{2} \right)^2 \right) \right) \\ | ||
& = L_v h - \dfrac{\pi h^2}{3} + 2 \left(\dfrac{\pi h^2}{4} \times \dfrac{ | & = L_v h - \dfrac{\pi h^2}{3} + 2 \left(\dfrac{\pi h^2}{4} \times \dfrac{1}{60} - \dfrac{3}{8} h^3 \right) \\ | ||
& = L_v h - \dfrac{\pi h^2}{3} + \dfrac{\pi h^2 \alpha}{360} - \dfrac{3 h^3}{4} | & = L_v h - \dfrac{\pi h^2}{3} + \dfrac{\pi h^2 \alpha}{360} - \dfrac{3 h^3}{4} | ||
& = L_v h - \pi h^2 \left(120 + \alpha \right) | |||
\end{align} | \end{align} | ||
</math> | </math> | ||