An Elastic Model of the Holding Power of Rock Climbing Anchors
web.mit.edu
web.mit.edu
"An Elastic Model of the Holding Power of Gear Anchors in Rock Climbing" would be much more apt (though gear anchors can include several other types of protection, "Cam Anchors" is not something I've ever heard)
edit: upon further reading, you're right. There's no mention of anchors in the article, other than referring to a cam placement as 'a type of anchor'. It seems that the article was not written by climbers, which is surprising.
A more specific example, Black Diamond's camalot z4 are described in their manual as 'frictional anchors'
Edit: of course there is a standard hah - EN 12276:2013 Mountaineering Equipment – Frictional Anchors
If you follow the link to the home page, you can end up on a page that refers to more recent work having been done in 2005.
A climber falling, even on an elasticated rope, might briefly put 800kg into the cam. The cam itself is effectively a 10:1 lever, so exerts 8000kg in each direction on the rock.
I'm just surprised that something that is already a crack (ie. Has already moved in the past) doesn't sometimes move when 8000kg is applied to it... And if it moves, the climber likely dies.
The common advice when you don't trust your anchor is don't fall ;)
And of course, the cams are typically rated from 600KG to 1600KG of force, depending on manufacturer, size, and material. But it's rare for them to experience these loads.
Even with smaller falls though, say 200-300 KG of force, they do occasionally break the rock they're set in, or cause the rock to 'flex', causing it to come out (this is more common with a type of feature called a 'flake', which is a semi-detached piece of rock, rather than a typical crack which is unlikely to move).
Ideally, you have more protection beneath the one you placed. Then if one piece blows, you'll fall a little bit further to the next one, which is hopefully placed in better rock.
As others have said, you do need to assess how solid a feature like a flake is. I live in a part of southeast Alaska that has almost no rock climbing because most of our mountains are uplifted accretion formations, so a fall on a cam likely would move the pieces of the mountain and lead to a nasty fall, with pieces of the mountain falling on you as well.
https://www.reddit.com/r/climbing/comments/9d995a/not_a_send...
So are airplane parts. But there is always a backup part.
And climbing is not expected to be 100% safe. In the same way that the single engine in a GA plane can fail and cause a crash. You have to balance the risks with the enjoyment.
The backup plan for losing the engine is to glide and land. But still, can't fly passenger jets over water with one engine.
> You have to balance the risks with the enjoyment.
You can take whatever risks you like. But I don't see how having a dual rope subtracts from your enjoyment.
1. somebody hanging on to a cliff with their fingernails and toenails, no safety rope
2. betting their life on a piton that may have a crack in it, or the rock may be soft, or the rock has a fault in it and may spall
3. betting on a single rope which may have an undetected internal flaw
4. roped to a moron who may fall and pull me off with him (has happened to climbers)
it's nope nope nope nope for me. I also stay 10 feet back from a cliff edge, because the extra weight may cause the edge to give way.
You guys can do as you like, though. It's a free country!
The reason for retiring a rope when the core is exposed is not because it won't hold your weight, it's because there's no longer as much redundancy.
Climbing ropes (almost) never fail. There have been very, very, few accidents caused by this. You're more likely to get hit in the head by a falling rock while standing near a rock structure (something that non-climbers regularly do without thinking twice), than for the climbing rope to fail
I just looked at https://en.wikipedia.org/wiki/List_of_aircraft_structural_fa... and saw that there have been 2 recorded cases of airplane wing failure in the last 20 years.
There are probably more 'climbs' where a climber trusts the rope to hold their weight on descent in a single day than there are flights in a year, so I think the integrity of a regularly inspected climbing rope is the least of your concerns
(for some additional anecdata, in a 2 hour session at my climbing gym, I might participate in 10 climbs and witness 500)
1. Pilatus: it's a 1959 design. Likely not a dual load path wing.
2. Grumman Turbo-Mallard: a 1946 design. Likely not a dual load path wing.
For example, when I work under my car, I put two jackstands under it. Everybody else only puts one.