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Are rear shock bolts particular for the frame or shock?
Frame, the mounting hardware for the shock accounts for the differences.
I need a new shock bolt where am I best getting one from?
Bike Shop, depending on the frame either that or direct from the importer/distributer if they deal with the public. Failing that ebay
Do you know who I would have to contact for a felt frame?
http://lmgtfy.com/?q=felt+bikes+stockist+uk
http://www.feltbicycles.com/United-Kingdom/Dealer-Search.aspx
Can you measure the existing one? Most shock bolts are M6 or M8 (ie: 6mm or 8mm diameter)
Its 6mm and 40mm long
Pack of 10. Or try your LBS as they may keep odd bolts and give you one free..
It only needs to be threaded on the one side, or doesn't this matter?
Threaded on the one side? If you have the existing bolt, take it with you to a local bike shop/Halfords and ask if they have one the same.
Does it look like any of these? :
[img] 
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Don't have the original bolt, it snapped whilst riding. I have an m6 bolt which is threaded all the way. ON that picture the top one would be the nearest to what I'm looking for, does it matter if the Bush sits on the thread of the bolt?
So, you're using a bit of M6 threaded bar at the moment (No head on it)with a nut/washer on both ends?
A bit like this:
[img] 
[/img]
It shouldn't matter if there is some thread inside the bush.
Does your frame have a thread in the hole on one side of the mounting location? If so you shouldn't need a nut/washer as the screw will tighten into the frame.
It has a head on it, and Allen head. Just like the top one in your first pictures. However there is only thread at the far end so no need for nut. I just spoke to the lbs and they said they could only get full kit not just bolt.
An M6 x 50mm bolt normally has approx 25mm of 'plain unthreaded diameter' so the majority of the bolt has no thread on, just cut it to the right length.
Ok great, do you have a link or where could I get this from local shops wise?
Just use the drop down menu's to select M6, 50mm length. It's cost you £1.44 for 10
Other eBay sellers may sell singular ones. As for local, don't know where you live so a bit hard to help with that one. Try local car part dealers/garage workshop etc