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Línea 276: |
Línea 276: |
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| ==== Volumen total de superadobe ====
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| <math>
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| \begin{align}
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| V & =
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| \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]
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| + \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]
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| + \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)
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| + \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)
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| + \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) \\
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| & = \color{Green}{s_w} \color{Green}{s_h} 2 \pi
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| \left[
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| \left(N + C \right)
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| \left(\color{Green}{r} -\color{Green}{l} + \frac{1}{2} \color{Green}{s_w} \right)
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| + C \color{Green}{s_w}
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| + \sum_{n=1}^N \sqrt{
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| \color{Green}{l}^2 -
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| \left[
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| \left(n - \frac{1}{2} \right) \color{Green}{s_h}
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| \right]^2
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| }
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| + \sum_{n=1}^C \sqrt{
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| \color{Green}{l}^2 -
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| \left[
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| \left(n - \frac{1}{2} \right) \color{Green}{s_h}
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| \right]^2
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| }
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| + \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)
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| + \color{Green}{n_C} \color{Green}{s_w}
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| \right] \\
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| & = \color{Green}{s_w} \color{Green}{s_h} 2 \pi
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| \left[
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| \left(N + C \right)
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| \left(\color{Green}{r} -\color{Green}{l} + \frac{1}{2} \color{Green}{s_w} \right)
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| + \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)
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| + \left(C + \color{Green}{n_C} \right) \color{Green}{s_w}
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| + \sum_{n=1}^N \sqrt{
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| \color{Green}{l}^2 -
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| \left[
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| \left(n - \frac{1}{2} \right) \color{Green}{s_h}
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| \right]^2
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| }
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| + \sum_{n=1}^C \sqrt{
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| \color{Green}{l}^2 -
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| \left[
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| \left(n - \frac{1}{2} \right) \color{Green}{s_h}
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| \right]^2
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| }
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| \right] \\
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| & = \color{Green}{s_w} \color{Green}{s_h} 2 \pi
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| \left[
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| \left(N + C + \color{Green}{n_C} + \color{Green}{n_D} + \color{Green}{n_E} \right)
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| \left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right)
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| - \color{Green}{l} \left(N + C \right)
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| + \left(C + \color{Green}{n_C} \right) \color{Green}{s_w}
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| + \sum_{n=1}^N \sqrt{
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| \color{Green}{l}^2 -
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| \left[
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| \left(n - \frac{1}{2} \right) \color{Green}{s_h}
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| \right]^2
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| }
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| + \sum_{n=1}^C \sqrt{
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| \color{Green}{l}^2 -
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| \left[
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| \left(n - \frac{1}{2} \right) \color{Green}{s_h}
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| \right]^2
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| }
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| \right] \\
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| & = \color{Green}{s_w} \color{Green}{s_h} 2 \pi
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| \left[
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| \left(N + C + \color{Green}{n_C} + \color{Green}{n_D} + \color{Green}{n_E} \right)
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| \left(\color{Green}{r} + \frac{1}{2} \color{Green}{s_w} \right)
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| - \color{Green}{l} \left(N + C \right)
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| + \left(C + \color{Green}{n_C} \right) \color{Green}{s_w}
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| + 2 \sum_{n=1}^C \sqrt{
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| \color{Green}{l}^2 -
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| \left[
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| \left(n - \frac{1}{2} \right) \color{Green}{s_h}
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| \right]^2
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| }
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| + \sum_{n=C+1}^N \sqrt{
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| \color{Green}{l}^2 -
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| \left[
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| \left(n - \frac{1}{2} \right) \color{Green}{s_h}
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| \right]^2
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| }
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| \right]
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| \end{align}
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| </math>
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| == Mortero —tierra (arcilla más arenas y gravas) más estabilizante—== | | == Mortero —tierra (arcilla más arenas y gravas) más estabilizante—== |