Synonyms for Rickety (same or very similar meaning)
WordNet sense 1 (affected with, suffering from, or characteristic of rickets):
rachitic
WordNet sense 2 (affected by an impairment of normal physical or mental function):
ill, sick
WordNet sense 3 (inclined to shake as from weakness or defect):
shaky, wobbly, wonky
WordNet sense 4 (lacking stability or fixity or firmness):
unstable
WordNet sense 5 (lacking physical strength or vitality):
decrepit, feeble, infirm, sapless, weak, weakly, debile
WordNet sense 6 (physically weak):
frail
From the ODE community, based on WordNet
add/edit