if u tribute ur monster who was equips with blast with chain...does blast with chain effect still happend?

No because Blast With Chain is not destroyed by a card effect, it is only being sent to the Graveyard.

This belongs in the Rules of dueling...

Blast with Chain ITSELF must be "destroyed" while equipped by a Card Effect. Meaning things like Mystical Space Typhoon, Mobius the Frost Monarch, Heavy Storm, etc.