2D corotational beam + follower force

Hello,

I recently implemented a 2D corotational beam formulation described by Louie Yaw (node/4880) after Crisfield.

Now I need to use it with a follower force. Here an example of what I expect : 

How could I approach this problem ? Should I modify the algorithm only (currently, Newton-Raphson + load increment) or the formulation ?

Thank you for helping me,

 Fred