Trapezoidal Section
This procedure returns properties of a triangular section.
Inputs
aw = top width [m, ft]
bw = bottom width [m, ft]
h = height [m, ft]
Outputs
A = area [m^2, ft^2]
I = moment of inertia about centroid [m^4, ft^4]
Z = section modulus [m^3, ft^3]
rho = radius of gyration about centroid [m, ft]
y_bar = centroidal distance [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 y_bar units=m
$VarInfo Z units=m^3
aw=0.4 [m]
bw=0.5 [m]
h=0.5 [m]
Call moi_trapezoid(aw, bw,h: A, I, Z, rho, y_bar)
{Solution:
A=0.225 [m^2]
I=0.003001 [m^4]
rho=0.144 [m]
y_bar=0.2407 [m]
Z=0.01801 [m^3]
}
Reference: Juvinall and Marshek, 5th edition, Fundamentals of Machine Component Design, Appendix B-1a