A rim for a bicycle wheel that includes a tire, hub and spokes. The bicycle rim generally includes a radially outer tire-engaging portion, a radially inner spoke-engaging portion, a first sidewall and a second sidewall spaced apart from the first sidewall. The first and second sidewalls extend between the tire engaging and spoke-engaging portions. The tire-engaging and spoke-engaging portions and first and second sidewalls form a toroid. A maximum width of the rim is disposed closer to the spoke-engaging portion than the tire-engaging portion.