Ragdoll joints aren't staying connected.

I would like for the joints on my ragdoll to stay connected at all times. I want to be able to drag him around without the joints separating and stretching the texture out like a piece of gum, then snapping back to it's connected body's position.

Is there a setting in the Unity Editor where I can do this? Or is would it have to be done in script? If in script, how would I go about doing this?