Elastic Curves of Beams. Basic Equations for Beam Deflection.

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Presentation transcript:

Elastic Curves of Beams

Basic Equations for Beam Deflection

Elastic Curve by Direct Integration

Alternative Coordinates

Boundary Conditions of Beams

Example I-Cantilever Beam under an End Load x

Example II-Simple Beam under Uniform Load x

Method of Superposition Only suitable for linear problems!!!

Easy Mistake in Superposition Cannot remove the supporting boundary conditions!!! X

Statically Indeterminate Beams

Alternative Solution by Superposition (I) x

Alternative Solution by Superposition (II)

Table of Beam Elastic Curves