Definition
Term
An important property of areas and solid bodies. Standard formu-
las are derived by multiplying elementary particles of area and
moment of inertia
mass by the squares of their distances from reference axes. Mo-
ments of inertia, therefore, depend on the location of reference
axes.
A support that prevents rotation in all axes, but allows translation
along one axis.
movable support
A force that is concentrated on a point.
point force
Performing Calculations
The measurement unit for the moment of inertia is mm4 or inches4. These
are geometric values, which appear in deflection, torsion, and buckling
calculation. AutoCAD Mechanical uses the result of the moment of inertia
calculation for the deflection line calculation.
Moment of inertia calculations are performed on cross sections of beams or
on other objects that can be represented as closed contours. Calculations can
be performed on a cross section of any shape, as long as the geometry of the
cross section forms a closed contour.
AutoCAD Mechanical determines the center of gravity for a cross section,
draws the main axes, and calculates the moment of inertia about each of those
axes. You can also select a load direction for a cross section; AutoCAD
Mechanical calculates the moment of inertia and angle of deflection for that
load.
NOTE
Before you perform this exercise, verify that the ISO standard part standard
is installed.
Load the initial drawing.
■
Open the file tut_calc in the Tutorial folder at:
■
Windows Vista
™
: C:\Users\Public\Public Documents\Autodesk\ACADM
2009\Acadm\Tutorial
276 | Chapter 13 Calculating Moments of Inertia and Deflection Lines
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