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, 1996-2000.

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Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588-0526