Most barrel blank makers pull the buttons
Some push
Tony Hawkins machine had an ingenious pusher for his buttons
Some home tinkerers push buttons with a massive hydraulic ram
It can work to make a sort of serviceable pistol barrel
Most likely will turn to shit with a long rifle barrel
The amateur on line ones I've seen were just relying on the in built twist on the button to get their twist rate.
The professional buttoned barrel makers have a sine bar controlling the twist as well and can often speed up or slow down the twist a few inches either way.
Depending on the grind of the specific button
Bookmarks