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Two-dimensional rigid-body equilibrium2D

Simply supported beam

Construct planar free-body diagrams and solve support reactions, stability, and three-force-body conditions.

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Purpose-built 2D FBD

Simply supported beam reactions

Solve pin and roller reactions for a point load plus a full-span UDL.

correct supportsreaction arrowsdimensions
Simply supported beam equilibriumCorrect pin–roller reactions with load dimensionsP 80 kNAyBy 82 kNL 10 mSCENARIO-SPECIFIC FBD
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Two-dimensional rigid-body equilibrium

Idealization

Ideal supports supply only their permitted reactions; deformation is neglected.

Acceptance check

Check ΣFx = 0, ΣFy = 0, ΣM = 0, plus contact, uplift, sliding, or tipping limits where relevant.