Application of Area-Moment Method to Restrained Beams

Reactions of Propped Beam with Triangular Load by Area Moment Method | Theory of Structures

See deflection of beam by moment-area method for details.

Rotation of beam from A to B

$\theta_{AB} = \dfrac{1}{EI}(\text{Area}_{AB})$


Deviation of B from a tangent line through A

$t_{B/A} = \dfrac{1}{EI} (Area_{AB}) \, \bar{X}_B$


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