Which component helps to maintain the structural integrity of the roof by preventing the rafters from spreading apart?

The component that helps to maintain the structural integrity of the roof by preventing the rafters from spreading apart is the collar tie bracing. Collar ties are horizontal members that are installed between the rafters near the peak of the roof. Their primary function is to provide lateral support, counteracting the outward forces exerted on the rafters by the weight of the roof and any additional loads, such as snow or wind. By connecting the rafters together, collar ties help ensure that the roof structure remains stable and maintains its shape over time.

The other options represent different structural elements but do not serve the same function as collar ties. Brace typically refers to diagonal supports used to strengthen structures against lateral loads, while studs are vertical framing members in walls, and catenary refers to a type of curve formed by a hanging chain or cable, not a structural support for roofs.