estatica

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 de Círculo
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 Parábola do 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