96893253 tabela-centroides-de-areas

96893253 tabela-centroides-de-areas

• 1.
  .h b x y . D x y D . R x y Centróides de Áreas Triângulo X 3 h Y= 2 hb A ⋅ = Triângulo Isósceles/Eqüilátero 0=X 3 h Y = 2 hb A ⋅ = Triângulo Retângulo 3 b X = 3 h Y = 2 hb A ⋅ = Círculo 2 D X = 2 D Y = 2 RA π= Semicírculo 0=X π3 4 R Y ⋅ = 2 2 R A π = . h b/2 b/2 b h . y x
• 2.
  .b x y a . R x y . x y b a .h x y a .h a y x y . Y=kx² h a x Quarto deCírculo π3 4 R X ⋅ = π3 4 R Y ⋅ = 4 2 R A π = Semi-elipse 0=X π3 4 b Y ⋅ = 2 ab A ⋅ = π Quarto de elipse π3 4 a X ⋅ = π3 4 b Y ⋅ = 4 ab A ⋅ = π Parábola 0=X 5 3h Y = 3 4 ah A ⋅ = Semiparábola 8 3a X = 5 3h Y = 3 2 ah A ⋅ = Arco de Parábola do 2º grau 4 3a X = 10 3h Y = 3 ah A =
• 3.
  . R x y . R x y Arco de Parábolado grau n a n n X ⋅ + + = 2 1 h n n Y ⋅ + + = 24 1 1+ = n ah A Setor Circular α α 3 sen2r X = 0=Y 2 rA ⋅= α Centróides de Linhas Semi-circunferência 0=X π r Y ⋅ = 2 Rc ⋅= π Quarto de Circunferência π R X ⋅ = 2 π r Y ⋅ = 2 2 r c ⋅ = π Arco de circunferência α αsenr X = 0=Y rA ⋅= α2 y α α x r y . Y=kxn h a x y α α x r