a staff or rod: a length of wood carried in the hand, used as a walking stick, a tool, a weapon, or a sign of authority.
At its root this is simply a wooden rod, the kind of thing a person carries in the hand. It can be the shepherd's or traveler's stick, a herding or threshing tool, a club used to strike, or the ornamented rod a ruler holds as a sign of power.
The Bible uses it most memorably for the staff Moses and Aaron carry before Pharaoh, the plain rod that becomes the instrument of God's wonders. From there the word stretches naturally into a picture of power: a rod that strikes is an image of an oppressor's force, and a rod held up is an image of rule. When the prophets speak of God breaking someone's rod, they mean breaking the strength that person leaned on.
The step from this meaning to the other one, a tribe, runs through the idea of a chief's staff. The leader of a clan carried a rod as the mark of his office, so the group he led came to be called by the same word. The two meanings are close cousins, but a reader needs different English words for them, so they are kept apart here.