MOI_RectangularPlate
This procedure returns mass and moments of inertia of a rectangular plate.
Inputs
a = length of plate in x-direction [m, ft]
b = length of plate in y-direction [m, ft]
t = thickness of plate [m, ft]
rho = material density [kg/m^3, lbm/ft^3]
Outputs
m=mass [kg, lb_m]
I_x = moment of inertia about the x-axis [kg-m^2 or lbm-ft^2]
I_y= moment of inertia about the y-axis [kg-m^2 or lbm-ft^2]
I_z = moment of inertia about the z-axis [kg-m^2 or lbm-ft^2]
Example:
$Load Mechanical Design
$UnitSystem SI K Pa
$VarInfo I_x units=kg-m^2
$VarInfo I_y units=kg-m^2
$VarInfo I_z units=kg-m^2
a=1 [m]
b=2 [m]
t = 0.01 [m]
rho=990 [kg/m^3]
Call moi_rectangularplate(a,b,t,rho:m, I_x, I_y, I_z)
{Solution:
m = 19.8 [kg]
I_x= 6.6 [kg-m^2]
I_y= 1.65 [kg-m^2]
I_z = 8.25 [kg-m^2]
}
Reference: Gray, G.L, F. Costanzo, R.J. Witt, and M.E. Plesha, Engineering Mechanics: Statics and Dynamics, Third Edition, McGraw Hill, (2023).