In reply to Richard:
> ... the force in the middle middle strand will be zero.
By "force" I assume you mean "tension". For that to be true, friction where the rope doubles back through the knotted rope loops would have to be infinite.
In reply to Stefan Lloyd:
> ... the loading on each strand is equalised.
No, it isn't. Imagine that the knotted rope loops were, instead, frictionless pulleys. You can't make the tensions balance in that case. If you pull on the whole thing with tension T then each strand either side of a krab (assumed frictionless) would carry tension T/2. One of those strands from each krab is knotted in to a loop through which a rope is doubled back. If that knotted loop were a frictionless pulley then the tension in each strand of the rope doubled back through it would be T/4 - but we know (from the analysis of the krab end) that one of those strands must carry a tension of T/2, therefore the system cannot be in equilibrium and must collapse into a stable configuration.
I reckon that would be a configuration with the pulleys next to each other and the "middle middle" strand (to borrow Richard's term) effectively removed. I suspect that if you constructed something like this using DMM Revolvers both for the krabs and for the knotted rope loops, it would do this. The only reason it doesn't collapse when it's built the way it's drawn is because the friction at the "pulley points" (where the rope doubles back through the krabs and the knotted loops) is (a) non-zero and (b) higher in the knotted loops than at the krabs. In other words, it only works the way sam coward observed because there's enough friction in the various components to allow the tensions either side of the "pulley points" to be different.
I can imagine that, subjected to a shock load, the "pulley points"
would slip - and as we all know, rope running against rope under high tension is A Bad Thing. On that basis I think it qualifies rather well as a CTDK, at least if used as part of a belay.
By the way, I reserve the right to change my mind about this afer I've thought about it a bit more and maybe even modelled it myself at home (although I only have two revolvers).
As to what this setup is supposed to be for, I have no idea. Perhaps it's an elaborate troll aimed at people who think they understand physics?