Originally Posted by
seboros
Indeed, a misaligned cone invites for a tight spot. I would replace the axle, too (maybe it is bent). You'll need a similar sized and angled cone. The link you provided shows a front wheel axle, which is different from a back wheel axle. I would take the axle and cones to a bike shop nearby and see if they can get a replacement. What hub do you have?
Not sure if you can tell from the image what hub it is. I can take a better image when I get home from work
imgur.com/a/Zkalj
edit:
its the same as this bike, you can see the hub on the 3rd image,
amazon.co.uk/d/Bikes-Cycling-Equipment/Trakbike-Fixipro-Single-Speed-Fixed-Bicycle-ORANGE/B017V818E0
(can't post links or add images until I have 10 posts)