Deflections in Simply Supported Beams | Area-Moment Method

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simple beam
simply supported beam
beam deflection

The deflection δ at some point B of a simply supported beam can be obtained by the following steps:
 

Area-moment method of finding deflections in simply supported beam

 
1. Compute $ t_{C/A} = \dfrac{1}{EI}(Area_{AC}) \, \bar{X}_C $

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

3. Solve δ by ratio and proportion (see figure above).

$ \dfrac{\delta + t_{B/A}}{x} = \dfrac{t_{C/A}}{L} $

 

Submitted by Romel Verterra on March 15, 2010 - 10:42pm
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