Diferencia entre revisiones de «Cálculo de materiales»

{A_{saco} = \color{Green}{L_v} \times \color{Green}h}</math>

A_{saco} = \left(\color{Green}L_v - \dfrac{\pi \color{Green}h}{2} \right) \times \color{Green}h + \pi \left(\dfrac{\color{Green}h}{2}\right)^2 = \color{Green}L_v \color{Green}h - \dfrac{\pi \color{Green}h^2}{4}

\sin \alpha = \dfrac{\dfrac{h}{2}}{h} = \dfrac{1}{2}; \alpha = 30^\circ

A_{saco} & = \left(L_v - \dfrac{\pi h}{3} \right) \times h + 2 \left(\pi h^2 \times \dfrac{2\alpha}{360} - \dfrac{1}{2} \times h \sqrt{h^2 - \left(\dfrac{h}{2} \right)^2} \right) \\

& = L_v h - \dfrac{\pi h^2}{3} + 2 \left(\pi h^2 \times \dfrac{1}{6} - \dfrac{1}{2} \times \dfrac{h^2 \sqrt{3}}{2} \right) \\

& = L_v h - \dfrac{\pi h^2}{3} + \dfrac{\pi h^2}{3} - \dfrac{h^2 \sqrt{3}}{2} \\

& = L_v h - h^2 \dfrac{\sqrt{3}}{2}