lctr16_18_s12 - 4.4Equivalentforcesystems...

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§ 4.4  Equivalent force systems Motivation :   Forces applied to many  structures and machines are actually  distributed , rather than discrete.  Because  distributed forces can be complicated, we’d  prefer to replace them with simpler equivalent  forces if we can do that.  The purpose of this  section is to establish  a set of rules for  turning complicated force distributions into  simpler, equivalent ones .
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Transmissibility:   In our discussion last week, we indicated  that we could slide a force anywhere along its line of action  without changing the way it affects a body’s motion.  This  is called the  principle of transmissibility .
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Moving a force away from its line of action :   If we move a  force from its original line of action to a different one, we  change the extent to which that force imparts rotation.  We  are permitted to do this only if we compensate by providing  a force-couple (moment) of sufficient magnitude and  direction to produce the original motion (c).  Because the  force-couple (moment) is a free vector, it can then be moved  anywhere on the body without changing its effect (d).
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This note was uploaded on 03/15/2012 for the course EMA 201 taught by Professor Witt during the Spring '08 term at University of Wisconsin Colleges Online.

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lctr16_18_s12 - 4.4Equivalentforcesystems...

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