A support wheel for an irrigation system may comprise a rim configured to contact the ground with a ground contact surface, with the rim having an inner surface and an outer surface forming the ground contact surface. The rim may have a first edge and a second edge, with the first edge lying in a first plane. A hub may be positioned at a center of the wheel and being configured to mount on an axle. A spoke structure may extend from the hub of the wheel to the rim of the wheel. The spoke structure may include a plurality of frames, and at least one of the frames may be mounted on the inner surface of the rim along a line extending from the first edge to the second edge of the rim in a non-parallel and non-perpendicular orientation to the first plane.