The reason Eucalyptus trees fall down is they are nursery trees, planted by landscapers. They never break out of the root balls caused by being in pots.
Here in Southern California they're used as windbreaks, easily withstanding 100-mph winds. I know the ones surrounding my house have withstood gusts of about 80-mph without so much as losing any leaves. There is no posibility whatever of one being uprooted. It just can't happen (the root structure is the same size as the branch structure).
Eucalyptus planted by landscapers, however, fall over if you look at them wrong.
Eucalyptus was brought from Australia to make railroad ties (because it grows to maturity so fast). The entrepreneurs who brought it failed to notice one thing - they grow in a spiral. The wood twists as it dries, and there isn't anything going to hold it. It'd rip the spikes right out.
Some friends knew a "back to our roots" guy who built his back woods house using convenient eucalyptus lumber he cut himself. The house ripped itself to shreads within a year.