I'm sure actual rim design varies greatly depending on it's intented use....but this is what I found with a very quick search [see pic below]
In "Part" sketch one complete [the shaded area in pic] profile, place dimensions at the correct wheel radius distance from the origin, select the region and revolve it 360°, create one hole & and circular pattern it for the spokes, save & create draft views as desired.....DONE!
[or continuewith the assembly, creating a hub, then 2 oposite side spokes & cicular pattern to match number of holes]
Design Manager Streetscape Ltd
Solid Edge ST10 [MP2] Classic [x2 seats]
Windows 10 - Quadro P2000
I don't have a Bicycle Wheel but I did Model a Wheel Chair as a prop for a Medical Device. Since I couldn't find one on the internet I built mine from the ground up. But since I wasn't using this as a product the Wheel is modeled in ONE part and not an assembly. But this might be a good part to play with Multi-Bodied Parts and publish the features independantly.
I've attached a zip file of the WC Rear Spoked Wheel. This hopefully will help you see how I made it.