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→V_E volumen de superadobe en los cimientos
| Línea 100: | Línea 100: | ||
& = \color{Green}{n_E} \times A_{saco} \times 2 \pi \left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right) | & = \color{Green}{n_E} \times A_{saco} \times 2 \pi \left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right) | ||
\end{align} | \end{align} | ||
</math> | |||
==== Volumen total ==== | |||
<math> | |||
\begin{align} | |||
V & = | |||
A_{saco} \times 2 \pi \left[ N \left(\color{Green}{r} - \color{Green}{l} + \frac{1}{2}\color{Green}{s_w} \right) + \sum_{n=1}^N \sqrt{\color{Green}{l}^2-\left[\left(n - \frac{1}{2} \right)\color{Green}{s_h} \right]^2} \right] | |||
+ A_{saco} \times 2 \pi \left[ C \left(\color{Green}{r} - \color{Green}{l} + \frac{3}{2}\color{Green}{s_w} \right) + \sum_{n=1}^C \sqrt{\color{Green}{l}^2-\left[\left(n - \frac{1}{2} \right)\color{Green}{s_h} \right]^2} \right] | |||
+ \color{Green}{n_C} \times A_{saco} \times 2 \pi \left(\color{Green}{r} + \frac{3}{2} \color{Green}{s_w} \right) | |||
+ \color{Green}{n_D} \times A_{saco} \times 2 \pi \left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right) | |||
+ \color{Green}{n_E} \times A_{saco} \times 2 \pi \left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right) \\ | |||
& = A_{saco} \times 2 \pi | |||
\left[ | |||
\left(N + C \right) | |||
\left(\color{Green}{r} -\color{Green}{l} + \frac{1}{2} \color{Green}{s_w} \right) | |||
+ C \color{Green}{s_w} | |||
+ \sum_{n=1}^N \sqrt{ | |||
\color{Green}{l}^2 - | |||
\left[ | |||
\left(n - \frac{1}{2} \right) \color{Green}{s_h} | |||
\right]^2 | |||
} | |||
+ \sum_{n=1}^C \sqrt{ | |||
\color{Green}{l}^2 - | |||
\left[ | |||
\left(n - \frac{1}{2} \right) \color{Green}{s_h} | |||
\right]^2 | |||
} | |||
+ \left(\color{Green}{n_C} + \color{Green}{n_E} + \color{Green}{n_D}\right) \left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right) | |||
+ \color{Green}{n_C} \color{Green}{s_w} | |||
\right] \\ | |||
& = A_{saco} \times 2 \pi | |||
\left[ | |||
\left(N + C \right) | |||
\left(\color{Green}{r} -\color{Green}{l} + \frac{1}{2} \color{Green}{s_w} \right) | |||
+ \left(\color{Green}{n_C} + \color{Green}{n_E} + \color{Green}{n_D}\right) \left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right) | |||
+ \left(C + \color{Green}{n_C} \right) \color{Green}{s_w} | |||
+ \sum_{n=1}^N \sqrt{ | |||
\color{Green}{l}^2 - | |||
\left[ | |||
\left(n - \frac{1}{2} \right) \color{Green}{s_h} | |||
\right]^2 | |||
} | |||
+ \sum_{n=1}^C \sqrt{ | |||
\color{Green}{l}^2 - | |||
\left[ | |||
\left(n - \frac{1}{2} \right) \color{Green}{s_h} | |||
\right]^2 | |||
} | |||
\right] \\ | |||
& = A_{saco} \times 2 \pi | |||
\left[ | |||
\left(N + C + \color{Green}{n_C} + \color{Green}{n_D} + \color{Green}{n_E} \right) | |||
\left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right) | |||
- \color{Green}{l} \left(N + C \right) | |||
+ \left(C + \color{Green}{n_C} \right) \color{Green}{s_w} | |||
+ \sum_{n=1}^N \sqrt{ | |||
\color{Green}{l}^2 - | |||
\left[ | |||
\left(n - \frac{1}{2} \right) \color{Green}{s_h} | |||
\right]^2 | |||
} | |||
+ \sum_{n=1}^C \sqrt{ | |||
\color{Green}{l}^2 - | |||
\left[ | |||
\left(n - \frac{1}{2} \right) \color{Green}{s_h} | |||
\right]^2 | |||
} | |||
\right] \\ | |||
& = A_{saco} \times 2 \pi | |||
\left[ | |||
\left(N + C + \color{Green}{n_C} + \color{Green}{n_D} + \color{Green}{n_E} \right) | |||
\left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right) | |||
- \color{Green}{l} \left(N + C \right) | |||
+ \left(C + \color{Green}{n_C} \right) \color{Green}{s_w} | |||
+ 2 \sum_{n=1}^C \sqrt{ | |||
\color{Green}{l}^2 - | |||
\left[ | |||
\left(n - \frac{1}{2} \right) \color{Green}{s_h} | |||
\right]^2 | |||
} | |||
+ \sum_{n=C+1}^N \sqrt{ | |||
\color{Green}{l}^2 - | |||
\left[ | |||
\left(n - \frac{1}{2} \right) \color{Green}{s_h} | |||
\right]^2 | |||
} | |||
\right] | |||
\end{align} | |||
</math> | </math> | ||