terug
Bijlage bij "Zwaartepunt"
De coördinaten van het zwaartepunt van een vlakdeel kun je met de formule in het
kader hieronder berekenen.
Van vlakdeel V is Z het zwaartepunt.
De coördinaten van Z zijn xZ en yZ
Er geldt:
xZ = (1/oppervlakte van V) · qp∫x· h(x)dx
Hierbij is h(x) de bij x behorende hoogte
van V, voor p ≤ x ≤ q.
De berekening van yZ verloopt op een
soortgelijke manier. |
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) 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