Contents - Index

MOI_SemiCircle1

This procedure returns properties of a semicircle in the direction perpendicular to the flat surface.

Call MOI_SemiCircle1(r: A, I, Z, rho, y_bar)

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]

y_bar = distance from flat surface to neutral axis [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

r = 0.1 [m]

Call moi_semicircle1(r: A, I, Z, rho, y_bar)

{Solution:

A = 0.01571 m^2

I = 1.098e-5 m^4

Z = 1.907e-4 m^3

rho = 0.02643 m

y_bar = 0.04244 m

}

Reference: Gray, G.L, F. Costanzo, R.J. Witt, and M.E. Plesha, Engineering Mechanics: Statics and Dynamics, Third Edition, McGraw Hill, (2023).

Moment of Inertia Index