def AreaCentroid(self):
"""
::
1-----2
| /|
| A1/ |
| / |
|/ A2 |
4-----3
centroid
c = sum(ci*Ai)/sum(A)
where:
c=centroid
A=area
"""
(n1, n2, n3, n4, n5, n6, n7, n8) = self.nodePositions()
a = n1 - n2
b = n2 - n4
area1 = Area(a, b)
c1 = centroid_triangle(n1, n2, n4)
a = n2 - n4
b = n2 - n3
area2 = Area(a, b)
c2 = centroid_triangle(n2, n3, n4)
area = area1 + area2
centroid = (c1 * area1 + c2 * area2) / area
return (area, centroid)
def AreaCentroid(self):
"""
::
1-----2
| /|
| A1/ |
| / |
|/ A2 |
4-----3
.. math:
c = \frac{\sum(c_i A_i){\sum{A_i}}
c = sum(ci*Ai)/sum(A)
where:
c=centroid
A=area
"""
(n1, n2, n3, n4) = self.nodePositions()
a = n1 - n2
b = n2 - n4
area1 = Area(a, b)
c1 = centroid_triangle(n1, n2, n4)
a = n2 - n4
b = n2 - n3
area2 = Area(a, b)
c2 = centroid_triangle(n2, n3, n4)
area = area1 + area2
centroid = (c1 * area1 + c2 * area2) / area
return (area, centroid)
def AreaCentroid(self):
"""
::
1-----2
| /|
| A1/ |
| / |
|/ A2 |
4-----3
centroid
c = sum(ci*Ai)/sum(A)
where:
c=centroid
A=area
"""
(n1, n2, n3, n4) = self.nodePositions()
a = n1 - n2
b = n2 - n4
area1 = Area(a, b)
c1 = centroid_triangle(n1, n2, n4)
a = n2 - n4
b = n2 - n3
area2 = Area(a, b)
c2 = centroid_triangle(n2, n3, n4)
area = area1 + area2
centroid = (c1 * area1 + c2 * area2) / area
return(area, centroid)
def Centroid(self):
r"""
Get the centroid.
.. math::
CG = \frac{1}{3} (n_1+n_2+n_3)
"""
(n1, n2, n3, n4, n5, n6) = self.nodePositions()
centroid = centroid_triangle(n1, n2, n3)
return centroid
def Centroid(self):
r"""
Get the centroid.
.. math::
CG = \frac{1}{3} (n_0+n_1+n_2)
"""
(n0, n1, n2) = self.nodePositions()
centroid = centroid_triangle(n0, n1, n2)
return centroid
def Centroid(self):
r"""
Get the centroid.
.. math::
CG = \frac{1}{3} (n_1+n_2+n_3)
"""
(n1, n2, n3, n4, n5, n6) = self.nodePositions()
centroid = centroid_triangle(n1, n2, n3)
return centroid
def Centroid(self):
r"""
Get the centroid.
.. math::
CG = \frac{1}{3} (n_0+n_1+n_2)
"""
(n0, n1, n2) = self.nodePositions()
centroid = centroid_triangle(n0, n1, n2)
return centroid