I think the legal term for where you stand is 'the dock'.
The book for the aircraft I fly actually states crosswind limits for dry, wet and contaminated runways.
If the destination weather includes a crosswind exceeding this, then two alternates are required.
I believe private pilots occasionally end up with their insurers refusing to pay out in case of accidents under these circumstances the argument being that whilst it is not prohibited, it is reckless, ill-advised, imprudent, unwise or irresponsible to operate outside of the known parameters of the aircraft.
I hope some-one can provide a more detailed reply.