How to print spiral(spring) static?
If you want an helicoidal object which acts relatively rigid, you should pick a plastic which is very rigid to begin with. In the case of 3D printing, probably PLA is the best choice. Make it as thick as you can in all the directions where you have no constraints.
Still, it's an object which will be hardly printable without dissolving support material. You need a two material 3D printer if you want to get good results.