In order to disable an enemy trap, you will need to have first purchased the Wirecutter tool from the Seller. He can be found just outside Basso's shop. The Wirecutter will first be available for purchase after Chapter 2.
Now, trap mechanisms appear often throughout The City, both while roaming around in between Chapters and during the actual Chapters themselves. An example of a trap is a pressure plate in front of a loot crate.
When you step on the pressure plate, you will be shot with an arrow. If you are using the Focus ability, you will notice that traps will glow red, rather than blue. You can usually follow the wiring of a trap to it's source, or you may need to find a secret switch around the trap that reveals it's source (power box). Once you have found the power box, pry it open and use the Wirecutter to clip the wiring from the trap. Do this ten times throughout the entire game and the achievement is yours.