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Moments and couples2D

Force-couple reduction

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

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Engineering simulation studio

Purpose-built 2D FBD

Force-couple system reduction

Transfer a force to the reference point and add the exact equivalent couple.

translated forcecompensating coupleequivalence
Force–couple reductionTranslated force plus compensating couple preserves the full external effectOriginal F 70 kNTranslated FrMeq 230 kN·mEXTERNAL EQUIVALENCESame force + added coupleSCENARIO-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.