Copyright 2005 by Nelson, a division of Thomson Canada Limited FIGURES FOR CHAPTER 12 REVIEW OF CENTROIDS AND MOMENTS OF INERTIA Click the mouse or use.

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Presentation transcript:

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIGURES FOR CHAPTER 12 REVIEW OF CENTROIDS AND MOMENTS OF INERTIA Click the mouse or use the arrow keys to move to the next page. Use the ESC key to exit this chapter.

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Plane area of arbitrary shape with centroid C

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Area with one axis of symmetry

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Area with two axes of symmetry

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Area that is symmetric about a point

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Centroid of a parabolic semisegment

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Centroid of a composite area consisting of two parts

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Composite areas with a cutout and a hole

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Centroid of a composite area

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Plane area of arbitrary shape

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Moments of inertia of a rectangle

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Composite areas

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Moments of inertia of a parabolic semisegment

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Derivation of parallel-axis theorem

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Plane area with two parallel noncentroidal axes (axes 1-1 and 2-2)

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Parallel-axis theorem

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Moment of inertia of a composite area

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Plane area of arbitrary shape

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Polar moment of inertia of a circle

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Plane area of arbitrary shape

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG The product of inertia equals zero when one axis is an axis of symmetry

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Plane area of arbitrary shape

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Parallel- axis theorem for products of inertia

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Product of inertia of a Z-section

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Rotation of axes

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Rectangle for which every axis (in the plane of the area) through point O is a principal axis

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Examples of areas for which every centroidal axis is a principal axis and the centroid C is a principal point

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Geometric representation of Eq. (12-30)

Copyright 2005 by Nelson, a division of Thomson Canada Limited FIG Example Principal axes and principal moments of inertia for a Z-section

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