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Moments and couples2D

Couple moment

Explore force moments, Varignon’s theorem, pure couples, equivalent force-couple systems, and spatial axis moments.

Open the complete lesson

Engineering simulation studio

Purpose-built 2D FBD

Couple-moment explorer

Rotate the force pair and separation vector to see the signed free-vector couple.

equal-opposite pairfree-vector couplezero resultant
Pure-couple laboratoryEqual and opposite forces form a free-vector moment with zero resultant+F−FMc 100 kN·mRESULTANT FORCEΣF = 0SCENARIO-SPECIFIC FBD
Engineering model scope

Category

Moments and couples

Idealization

Forces act on a rigid body and moments follow the displayed right-hand sign convention.

Acceptance check

Compare direct and component moments or project r × F onto the selected axis.