How to install a blend door acuator in a 2010 Jeep Liberty?

Blend door is not working.

The door is defective the shaft end is sheared off.

Isn't this under warranty?

Usually a sign of a stuck blend door under the dash.
Could be a faulty blend door actuator, or the main controller.
You may need a shop manual to make the repairs since this is generally beyond the abilities of a DIY repair book.

Here's a link to your blend door,it says you have driver side and a passenger side one,

The blend door actuator will not be the problem, the blend door will be stuck or broken, common problem.

There is a blend door acuator which moves when u change your settings. Its a electric motor. Down under dash, Will need a mech and a heating and cooling diagram to find where the motor is,

My blend air door is stuck on my 2010 liberty. I have removed the actuator panel on the drivers side and the middle door that controls the air flow to the dash is completely seized. There are 4 blend air doors on this liberty, 2 control the heat/ac and 2 control the air flow.
there is no access to them from the drivers side and the passanger side looks like I have to cut into the air box to get to them.

this vehicle has electronic acuators that move the doors and do not use vacuum. the mode door actuator is bad causing this problem. there is a defrost acuator that works the defrost position and a mode door that works floor/vent operation. the defrost moves and diverts airflow up defrost vwents this is why you can still have defrost and floor.

Sounds like you need a blower door acuator motor, which moves to direct the heat to where you want it to be