Diferencia entre revisiones de «Cálculo de materiales»

Línea 276: Línea 276:




==== Volumen total de superadobe ====
<math>
\begin{align}
V & =
\color{Green}{s_w} \color{Green}{s_h} 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]
+ \color{Green}{s_w} \color{Green}{s_h} 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} \color{Green}{s_w} \color{Green}{s_h} 2 \pi \left(\color{Green}{r} + \frac{3}{2} \color{Green}{s_w} \right)
+ \color{Green}{n_D} \color{Green}{s_w} \color{Green}{s_h} 2 \pi \left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right)
+ \color{Green}{n_E} \color{Green}{s_w} \color{Green}{s_h} 2 \pi \left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right) \\
& = \color{Green}{s_w} \color{Green}{s_h} 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] \\
& = \color{Green}{s_w} \color{Green}{s_h} 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] \\
& = \color{Green}{s_w} \color{Green}{s_h} 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] \\
& = \color{Green}{s_w} \color{Green}{s_h} 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>


== Mortero —tierra (arcilla más arenas y gravas) más estabilizante—==
== Mortero —tierra (arcilla más arenas y gravas) más estabilizante—==
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