Left component supplies the sound (gāng, exact match) and a faint semantic echo:
冈 is the crest of a ridge — solid, hard rock — which fits the 'firm, unyielding' meaning of
刚. Same phonetic in
钢 (steel),
纲 (mainstay),
岗 (post). The simplified
冈 stands in for the original
岡; both are 4-stroke ridge silhouettes.