bearing has 10 distinct synonyms spread across 4 of its 7 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its one recorded opposite is nonbearing.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
relevant relation or interconnection
“those issues have no bearing on our situation”
heraldry consisting of a design or image depicted on a shield
a rotating support placed between moving parts to allow them to move easily
(of a structural member) withstanding a weight or strain
Synonyms, antonyms and the broader and narrower relations for bearing come from Princeton University’s WordNet. Full sources and licences.