What is the easiest way to calculate the centroid of a 2-D figure...???

Question

It would be great if u gave the substitutional formulas for 'I', 'T', and 'C' sections... all letters boxes and I has two dashes one above and one below....

sorry forgot to tell I am looking for math equations not C++ progms

Well the subject it belongs to is Engg Mechanics

Answer 1

Below I have linked a site that shows the generalized equations for determining a centroid of a shape.

Practice with a rectangle or something to make sure you understand how the equations work.

Answer 2

Calculating The Centroid

Answer 3

To find the centroid of a 2-D figure, you have to find its x and y co-ordinates.

Steps for finding the centroid of simple symmetric figures.
1. Find out which axis (X or Y) is the axis of symmetry.
2. The centroid is bound to lie on the axis of symmetry (say, X-axis) so you get one of the two coordinates.
3. If there is another perpendicular axis of symmetry (say, Y-axis) as well then the centroid is the origin (as in 'I', circular, rectangular sections etc.).
4. If the figure is not symmetric about the other axis (like 'T' and 'C' sections), then divide the figure into rectangles. You can easily find the centroids and areas of these rectangles.
Then use the appropriate formula from the two given below to find the other coordinate of the centroid of the given figure.

Xc = (X1*A1 + X2*A2 +.... + Xn*An)/ (A1 + A2 +.... + An)
Yc = (Y1*A1 + Y2*A2 +.... + Yn*An)/ (A1 + A2 +.... + An)

Here, (Xi,Yi) are the coordinates the centroid of the i-th rectangle and Ai is the area.

Answer 4

You can break the figure up into easier shapes such as semi-circles, quarter circles, triangles, rectangles and the like.

Answer 5

found this....
http://www.dfanning.com/tips/centroid.html

don't know if that's what you are looking for.........