It is sometimes possible to run threaded rod from the top at each end of each joist, diagonally down to the middle bottom, jack the floor slightly above level and tighten the rods with turnbuckles, essentially bowstringing each joist. This might be worth talking with the engineer about and seeing if it is possible to preserve the basement space.
An engineer should be able to definitively say whether the joists were undersized if they can see one. If they have seen one and cannot make this determination look for another engineer.
Last edited by Don_P; 11-04-2009 at 05:17 PM.
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