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Timber Beam Deflection

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 I wish to thank all the responders for their prompt replies.  They all made
some sense, although the  conclusions may have differed.

This was a theoretical  problem and the assumption was that the beam  was
straight without initial camber.

For those who suggested that the final deflection will be of the order of 0.75
inches,  does that imply that  sufficient repetitions of the described
sequence  could cause the deflections to increase without bound ?