A single turnout rotary guideway switch is provided with an elongated structural frame member having guidebeam, electric rail and tire path structure on each of two sides of the switch compatible with the guidebeam, electric rail and tire path structure of the guideway. Switching is achieved by rotating a movable part of the switch 180 degrees about its longitudinal axis. One elongated beam acts as a principal structural member of the frame and provides a tire path on one of the switch sides for main line car routing by the switch. Another curved beam is secured between the one beam and another elongated beam that extends generally parallel to the one beam. The curved beam cross-supports the frame and provides a tire path on the other switch side for car turnout routing by the switch. In a crossover switching station in a dual lane guideway, a pair of the single turnout rotary switches are combined with an interface guideway section to provide for lane-crossover car routing by the switches.