MOI_SemiCircle2
This procedure returns properties of a semicircle in the direction parallel to the flat surface.
Call MOI_SemiCircle2(r: A, I, Z, rho)
Inputs
r = radius [m, ft]
Outputs
A = area [m^2, ft^2]
I = moment of inertia about the centroid [m^4, ft^4]
Z = section modulus [m^3, ft^3]
rho = radius of gyration about the centroid [m, ft]
Example:
$Load Mechanical Design
$UnitSystem SI K Pa
$VarInfo A units=m^2
$VarInfo I units=m^4
$VarInfo rho units=m
$VarInfo Z units=m^3
r = 0.1 [m]
Call moi_semicircle2(r: A, I, Z, rho)
{Solution:
A = 0.01571 m^2
I = 3.927e-5 m^4
Z = 3.927e-4 m^3
rho = 0.05 m
}
Reference: Gray, G.L, F. Costanzo, R.J. Witt, and M.E. Plesha, Engineering Mechanics: Statics and Dynamics, Third Edition, McGraw Hill, (2023).