Does anyone knows whether a bicycle wheel is a statically determinate or indeterminate structure?
A bicycle wheel is a complicated structure. Take a spoke in a wheel for example. The spoke is statically indeterminate because it's not mounted to the rim with some sort of bearing; instead it's mounted to the rim with a nipple, which can and does induce a bending moment in the spoke. The rim is similarly statically indeterminate because it's connected to several spokes. One could argue that the hub is connected to each spoke in a way that is free to swivel, but because the hub is connected to several spokes in tension, and because the spokes must stretch in order to allow the hub to swivel relative to the rim, the moment the hub starts to swivel we must consider the material properties of the spokes to determine how much it swivels in response to a torque. Similarly we must refer to the material properties of the rim and spokes, and estimate deformations, if we are to consider how the wheel responds to the weight of the frame and the rider.
Almost all real-world structures are statically indeterminate, and a bicycle wheel is no exception.