Theorem of three moments

Figure 04-Deflection Curve of a Continuous Beam Under Settlement

In civil engineering and structural analysis Clapeyron's theorem of three moments is a relationship among the bending moments at three consecutive supports of a horizontal beam.

Let A,B,C be the three consecutive points of support, and denote by l the length of AB by $l'$ the length of BC, by w and $w'$ the weight per unit of length in these segments. Then the bending moments $M_A,\, M_B,\, M_C$ at the three points are related by:

单词	Three moment theorem
释义	Three moment theorem 英语百科 Theorem of three moments In civil engineering and structural analysis Clapeyron's theorem of three moments is a relationship among the bending moments at three consecutive supports of a horizontal beam. Let A,B,C be the three consecutive points of support, and denote by l the length of AB by $l'$ the length of BC, by w and $w'$ the weight per unit of length in these segments. Then the bending moments $M_A,\, M_B,\, M_C$ at the three points are related by:
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Three moment theorem

Theorem of three moments