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Moments and couples2D

Varignon theorem

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

Varignon’s theorem demonstrator

Compare the direct cross product with the sum of moments of Cartesian components.

component momentsdirect momentidentity
Varignon component proofDirect and component moments are displayed on the same rigid bodyFFx 65.5Fy 45.9ΣMO 6.6NUMERICAL IDENTITYMO(F) = MO(Fx) + MO(Fy)Residual reports any mismatch.SCENARIO-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.