This engineering statics tutorial compares a rectangular (uniformly distributed load) to a triangular distributed load. In both cases, we need to find the resultant force, whose line of action passes through the centroid, and has a magnitude equal to the total distributed load.

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Looking for practice problems with solutions? I also created a whole set of fully solved statics problems with step-by-step hand calculations:
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Looking for software? I highly recommend checking out SkyCiv. They make a full suite of online structural analysis software and tools that are useful for both students and professionals, including calculators for beams, trusses, frames, moment of inertia and more. It’s great for checking your work:
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