Equivalent
force systems: Distributed loads

Replacing
distributed loads by a resultant load and resultant couple applied at a given
point O :
_{}

Replacing a
distributed load by single resultant load:
_{}
Note: Since the equation for d
is the same as that for determining the centroid of the area under the w(x) curve, it follows that F must pass through the centroid of the
area under the curve w(x).

ã Mehrdad Negahban and the University of Nebraska, 19962000.
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Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 685880526