When you apply the const qualifier to a nonstatic member function, it affects the this pointer. For a const-qualified member function of class C, the this pointer is of type C const*, whereas for a member function that is not const-qualified, the this pointer is of type C*.
A static member function does not have a this pointer (such a function is not called on a particular instance of a class), so const qualification of a static member function doesn’t make any sense.