The Collaborative International Dictionary of English v.0.48:

Fragility \Fra*gil"i*ty\, n. [L. fragilitas: cf. F.
   fragilit['e]. Cf. Frailty.]
   1. The condition or quality of being fragile; brittleness;
      frangibility. --Bacon.
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   2. Weakness; feebleness.
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            An appearance of delicacy, and even of fragility, is
            almost essential to it [beauty].      --Burke.
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   3. Liability to error and sin; frailty. [Obs.]
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            The fragility and youthful folly of Qu. Fabius.
                                                  --Holland.
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WordNet (r) 3.0 (2006):

fragility
    n 1: quality of being easily damaged or destroyed [syn:
         fragility, breakability, frangibleness,
         frangibility]
    2: lack of physical strength [syn: fragility, delicacy]