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30-03-2012 #11
The main weakness comes from the fact the beam is not supported along its entire length.
Think about a springy length of piano wire sitting on a support at each end:
Imagine pushing down with your finger in the middle of the wire.
Now clamp each end of the wire firmly to each end support and assume the supports cannot move. Imagine once again pushing down with your finger in the middle of the wire.
Finally put a third support in middle of the wire and imagine pushing down directly over the middle support...
You may like http://www.clag.org.uk/beam.html , see 'Centre load on beam with two simple supports' and 'Centre load on beam with 2 fixed supports'
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