MOI_CircularSegmentArc
This procedure returns the length and center of mass of a half circle arc.
Inputs
r = radius of arc [m, ft]
Outputs
L = length [m, ft]
x_bar = distance from center of arc to centroid in y-direction [m or ft]
Example:
$Load Mechanical Design
$UnitSystem SI K Pa rad
$VarInfo L units=m
$VarInfo x_bar units=m
r = 0.25 [m]
alpha = 0.3 [rad]
Call moi_circularsegmentarc(r, alpha: L, x_bar)
{Solution:
L = 0.15 [m]
x_bar = 0.2463 [m]
}
Reference: Gray, G.L, F. Costanzo, R.J. Witt, and M.E. Plesha, Engineering Mechanics: Statics and Dynamics, Third Edition, McGraw Hill, (2023).