小支气管

• 小(small; tiny)ASSOCIATIVE

Three tiny strokes represent fine grains of sand, conveying the meaning of "small" or "tiny."

• 十(ten; branch)ASSOCIATIVE
• 又(right hand)ASSOCIATIVE

A hand grasping a tree branch depicts the image of support and branching.

• 气(vapor; gas; steam)ASSOCIATIVE

The character depicts wisps of vapor rising upward, symbolizing invisible atmospheric air.

• ⺮(bamboo)RADICAL
• 官(official; manage)PHONO-SEMANTIC

A bamboo tube is managed by officials, so 管 means both tube and to manage.