Answer: Sap oozing from fissures or cracks in a tree trunk is never a good sign. I don't know if the cracks were caused by high winds pulling on the canopy of the tree, or from insect or disease problems. Your best course of action is to have a certified arborist come out and assess your tree. If the damage is minor, you can probably treat it yourself. If it is a symptom of a bigger problem, the arborist can advise you on the treatments required.
Best wishes with your eucalyptus tree!
Q&A Library Searching Tips