David Coley wrote:This might explain the shape of the curve in the case of the reverso being on the belayer, but it does not in my mind explain why the force on the anchor is less with the direct belay, which although there would be no belayer to stop, there would not be raising of the belayer against gravity to reduce the kinetic energy. To me the proof would be if the rope had been tied to the anchor, then tied to the belayer (maybe this experiment is in the report and if so, rgold might well have spotted it), as it is I don't think we can know that in the one case presented more slack was not passed through the reverso when playing of the anchor.
Leaving that to one side, we all know that most of the time the belayer is not lifted far enough up to apply any force to the anchor - so the result is not a general one, and is the opposite of what most happens, or I would be permanently covered in belay bruises. And this is what somewhat gets my goat about the video (some of the others in the series are excellent): The experiments are not repeated with the same settings, let alone repeating with a wider range of angles, distances etc.
Allow me to go back to the funkness device analogy, which works as follows: the belay anchor corresponds to the piton to be "funked out;" the belayer corresponds to the hammer; and the sling that tethers the belayer to the anchor corresponds to the funkness device.
Most climbing hammers have a mass of less than 1 kg. Their kinetic energy when swung is unlikely to exceed 50 J. Yet, they can apply forces of about 10 kN to a piton. Hence it should come as no surprise that the belayer's sudden arrest when the sling goes taut may put a lot of force on the belay anchor.
But, one may argue, how do we know that this effect is important. It may well be that the lower force on the anchor in case of direct belay is due to increased rope slippage. I would counter that the ENSA people have high-speed footage and recordings of the dynamometer readings. By matching footage to forces, they were able to determine that the peak force on the belay anchor occurs when the belayer's attachment goes taut.
It is clear that an experiment may be set up in which belayers who are belaying off their harnesses are not swept off their feet and the force on the belay anchor remains null. However, the ENSA people are careful in stating their assumptions in the summary of the article:
Lorsque la corde entre le relais et le point de renvoi ne subit aucun frottement, si le premier point est désaxé ou lors d’une chute de grande hauteur, l’assureur est violemment projeté contre la paroi par un mouvement de rotation autour du point d’attache de sa longe.
That is, "When the rope between the belay anchor and the runner is not subject to friction, if the first piece is not aligned or when the fall is from great height, the belayer is slammed against the wall by a rotation about the attachment point of his/her tether."
No blanket statement is made about the forces on anchors in all cases. The authors of the study were themselves surprised by the fact that the force on the anchor may be higher when belaying from the harness, and this thread confirms that they were not alone to be surprised. (I found their observations interesting and their explanation convincing.) Their main concern, though, is with the belayer getting hurt and possibly letting go of the rope.
We always want to see one more experiment performed, especially the one that would confirm our point of view, but if they had presented experiments showing that there are times--for instance, if there's plenty of rope drag--when the belayer hardly notices that the leader has fallen, wouldn't they be criticized for belaboring the obvious?
The video perhaps tries to cram too much into eight minutes, but taken together with the report, promotes an interesting debate. Thanks to rgold for bringing it to our attention.