The theorem of three moments, also called Clapeyron's theorem of three moments, is a result in structural analysis giving a relationship among the bending moments at three consecutive supports of a horizontal beam. It is used in civil engineering to analyze continuous beams that span more supports than a single-span calculation can solve directly.
Facts
StatementClapeyron's theorem of three moments is a relationship among the bending moments at three consecutive supports of a horizontal beam. 1 Classification
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Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Sources
1. Theorem of three moments - Wikipedia
Lead paragraphQuote, Lead paragraph
In civil engineering and structural analysis Clapeyron's theorem of three moments (by Emile Clapeyron) is a relationship among the bending moments at three consecutive supports of a horizontal beam.
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