##  [Clapeyron's Theorem (Three‑Moment Equation)](/clapeyrons-theorem-three-moment-equation) 

  ##  [Clapeyron's Theorem (Three‑Moment Equation)](https://engineering.quantumdictionary.io/clapeyrons-theorem-three-moment-equation-0) 

  

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**Engineering & Applied Technologies Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A linear relation among bending moments at three consecutive supports of an elastic, continuous beam obtained from compatibility of deflections and linear Euler–Bernoulli bending theory; it reduces static indeterminacy by coupling unknown support moments through span lengths and flexural rigidities, allowing solution of continuous-beam bending under small‑deflection, linear‑elastic assumptions.