A brake assembly for use in an architectural-structure covering, the architectural-structure covering including a rotatable member and a covering movable between a retracted position and an extended position, the brake assembly being arrangeable and configured to couple to the rotatable member, the brake assembly arrangeable and configured to permit rotation of the rotatable member in a first direction and to inhibit rotation of the rotatable member in an opposite direction relative to the first direction to maintain a position of the covering, the brake assembly comprising: a housing; a hub arrangeable and configured to be non-rotatably coupled to the rotatable member so that the rotatable member and the hub rotate in unison; a drum; a wrap spring configured to operatively couple the hub and the drum; and a clutch element; characterized in that the clutch element is operatively associated with the drum such that rotation of the drum in the first direction maintains the clutch element in a disengaged state relative to the housing and rotation of the drum in the opposite direction causes the clutch element to engage the housing; wherein: rotation of the hub in the first direction causes the hub to rotate the wrap spring, which rotates the drum and the clutch element so that the hub, the wrap spring, the drum, and the clutch element rotate in unison; and rotation of the hub in the opposite direction causes the hub to rotate the wrap spring, which rotates the drum and the clutch element causing the clutch element to engage the housing, which causes the drum to slip relative to the wrap spring so that rotation between the hub and the drum is no longer transferred. a housing; a hub arrangeable and configured to be non-rotatably coupled to the rotatable member so that the rotatable member and the hub rotate in unison; a drum; a wrap spring configured to operatively couple the hub and the drum; and a clutch element; characterized in that the clutch element is operatively associated with the drum such that rotation of the drum in the first direction maintains the clutch element in a disengaged state relative to the housing and rotation of the drum in the opposite direction causes the clutch element to engage the housing; wherein: rotation of the hub in the first direction causes the hub to rotate the wrap spring, which rotates the drum and the clutch element so that the hub, the wrap spring, the drum, and the clutch element rotate in unison; and rotation of the hub in the opposite direction causes the hub to rotate the wrap spring, which rotates the drum and the clutch element causing the clutch element to engage the housing, which causes the drum to slip relative to the wrap spring so that rotation between the hub and the drum is no longer transferred. rotation of the hub in the first direction causes the hub to rotate the wrap spring, which rotates the drum and the clutch element so that the hub, the wrap spring, the drum, and the clutch element rotate in unison; and rotation of the hub in the opposite direction causes the hub to rotate the wrap spring, which rotates the drum and the clutch element causing the clutch element to engage the housing, which causes the drum to slip relative to the wrap spring so that rotation between the hub and the drum is no longer transferred.