To determine the centroidal element ybar
by finding the midpoint of the lower and upper curves, we can use the trapz
function in MATLAB to calculate the area under the curve, and then find the centroid using the formula:
main.m39 chars2 lines
Here, Area
is the area under the curve, y
is the height of the curve, x
is the position of each point on the curve, Xlower
is the distance from the centroid to the lower curve, and trapz
is the trapezoidal numerical integration function in MATLAB.
Here's an example implementation:
main.m918 chars22 lines
In this example, we define the lower and upper curves as functions of x
, then we use the trapz
function to calculate the area between them. We also use trapz
to calculate the moment of the lower and upper curves, and use those to find the distance from the centroid to the lower curve. Finally, we use the formula for ybar
to calculate the y-coordinate of the centroid, and plot the curves and the centroid on a figure.
gistlibby LogSnag