This trophy will almost automatically unlock during your playthrough, as the game ask you to craft the items as they get available. If you follow the small tutorials, this is hard to miss. You'll have to pick up the item before it appears in the craft menu, so just stay alert and investigate areas - more often than not after a fight.
Here's the list of weapons to craft:
Melee Weapon (pipe or broken board of tree with a scissor at the end)