Abstract: A welding and cutting counter head for joining and cutting sheeted materials comprising a welding counter-wheel rotatably supported on a shaft which is supported on a slide for movement towards and away from a location where the materials are joined, a cutting disk adjacent the counter-wheel and mounted for rotation with the counter-wheel, means for mounting the cutting disk for floating radial motion relative to the counter-wheel, and a resilient biasing means for biasing the cutting disk in a direction towards the materials joining location.