May 6, 2009, 5:54 AM
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Two piece anchors are plenty strong! Poll!
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Two pieces in solid rock hold plenty of kilonewtons, why would anyone place more?
Seriously, I have read several comments lately on this site that lead me to believe many people feel that two good pieces make a satisfactory trad anchor. Has this become an accepted practice? I always like at least three. If you feel two is OK, what is your logic? I have always thought that three was considered the minimum.
(This post was edited by pendereki on May 6, 2009, 6:00 AM)
May 6, 2009, 6:32 AM
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Re: [pendereki] Two piece anchors are plenty strong! Poll!
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Why must 3 accepted practice?
I believe 3 is good because in the rare occurance of failure of 1 piece you still have an equalised anchor rather than have a 1 piece anchor.
If I have 2 absolutely bomber pieces then I will happily use 2 pieces.
If I have less bomber pieces (rarely) then I will pay particular attention to equalisation >3 pieces. I have built anchors with 5 pieces before. Mostly small nuts and cams.
May 6, 2009, 6:33 AM
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Re: [pendereki] Two piece anchors are plenty strong! Poll!
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pendereki wrote:
Two pieces in solid rock hold plenty of kilonewtons, why would anyone place more?
Seriously, I have read several comments lately on this site that lead me to believe many people feel that two good pieces make a satisfactory trad anchor. Has this become an accepted practice? I always like at least three. If you feel two is OK, what is your logic? I have always thought that three was considered the minimum.
Two's enough if they're solid. One would hold most falls. But you never know, so most of us seek redundency.
May 6, 2009, 6:38 AM
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Re: [moose_droppings] Two piece anchors are plenty strong! Poll!
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moose_droppings wrote:
pendereki wrote:
Two pieces in solid rock hold plenty of kilonewtons, why would anyone place more?
Seriously, I have read several comments lately on this site that lead me to believe many people feel that two good pieces make a satisfactory trad anchor. Has this become an accepted practice? I always like at least three. If you feel two is OK, what is your logic? I have always thought that three was considered the minimum.
Two's enough if they're solid. One would hold most falls. But you never know, so most of us seek redundency.
Additionally, if there's a chance of factor 2-ing (that is, it's more than one pitch) and I didn't have a tree/bolt I'd toss in three. If it's just single pitch and I'm right next to the anchors I'll generally just toss in two pieces, 2-eared figured eight, eight on a bight, and call on-belay.
May 6, 2009, 7:23 AM
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Re: [pendereki] Two piece anchors are plenty strong! Poll!
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I halfheartedly voted for 2 pieces.
Really, the answer I would have clicked is
"I use two pieces if that's all I can get in and hope they're good, come to think of it, I suppose I'd use one if I didn't have a choice but I wouldn't be smiling"
For an area where it's just as easy to use three and I have 3 left, yes, I use three. It's a bit misleading to use that "always" word.
May 6, 2009, 11:14 AM
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Re: [pendereki] Two piece anchors are plenty strong! Poll!
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I think that as a general rule 3 anchors is a good starting point, but I think you need to take a pragmatic approach. For trad gear I would pretty much always use at least 3 peaces. There are however occasions, ie where there are large tree’s, boulders or bolts to use, where the anchors are clearly so good that two or even one is OK, on the other hand there have been times when I have used 6 or seven peaces of gear to build an anchor.
(This post was edited by king_rat on May 6, 2009, 11:48 AM)
May 6, 2009, 12:29 PM
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Re: [pendereki] Two piece anchors are plenty strong! Poll!
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I shy away from just two removable pieces since the belayer can get jacked around in a lead fall. So I'll put in three or sometimes more. To put it another way, two for redundancy and another to help guard against imperfection. Four if needed to address upward pull.
I use enough pieces to make the anchor solid and safe. Sometimes, that's three. Sometimes four. I've built one that had six. Others have had two.
Ditto. (Though I don't think I've ever had a six piece anchor.)
I was recently on a multipitch climb where I would have been totally comfortable with a two-piece anchor at the top of the first pitch. (I only made it a three-point anchor to be psychologically reassuring to my partner.) I then built a four-piece anchor at the top of the second pitch since they were all micro cams.
I have built an anchor at a common top roping site where there is a yellow camalot-sized crack in the earth. I place both of my yellow camalots and proceed to equalize them. the blue camalot only barely fits in a couple not very useful spots and the red camalot is tipped out, so neither is very useful to add. given those constraints, I feel comfortable with a two point anchor.
sure, three is great if the situation allows it. but the situation doesn't always allow a three point anchor. mental flexibility is important. you need to be able to decide what the situation requires.
if the OP is referencing this thread http://www.rockclimbing.com/...ost=2135284;#2135284, it's worth noting that the discussion regards alpine anchors, where two piece anchors are typically more acceptable.
May 6, 2009, 1:54 PM
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Re: [johnwesely] Two piece anchors are plenty strong! Poll!
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johnwesely wrote:
When I am hanging off it. I prefer to see three because it makes me feel a little better.
agreed multi pitch trad I like 3!!! unless I'm hauling I'll never use more then 3. If I am on a nice ledge, the climbing is easy I have no problem just putting in one piece and tying in.
Majid if reference to your picture... of course you need so many pieces if you place them under blocks that could move with a decent fall. Of course if a block shifts it doesn't matter how many pieces are under it so that picture looks like a three piece anchor to me, and the one on the left looks suspect.
My vote falls between sometimes two and always three (yes technically that makes me a sometimes two person). I feel like "sometimes" means more often than I would place them. I usually find at least two solid pieces and usually a third that I have confidence in. If I can find two perfect placements and I need to conserve gear in a size for the next pitch, or I can't find a good third placement I am happy with two. I will also go with two if there is a good stance acts as my primary piece and I am not worried about shock loading the anchor at the start of the next pitch.
For me my rule is three pieces unless the situation dictates otherwise, but I don't go into a climb with a "two sometimes" mentality.
May 6, 2009, 3:43 PM
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Re: [bill413] Two piece anchors are plenty strong! Poll!
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Two modern bolts, yes.
Two well-placed directionally secure (or secured) medium-large to large stoppers, ok.
Two cams, never unless forced to.
Smaller stoppers and cams require three or more anchor points in my book. Especially worrisome are small cam anchors (smaller than purple camalot size), in which I think four cams is minimal, the belayer ought to do everything possible to find a braced position, and the leader ought to strive to get in something good as soon as possible.
None of these things may be possible. I had to belay off such an anchor a year ago with very poor belayer bracing, absolutely no possibility of leader protection for a while, and 5.8 climbing in the offing. At times like this, it helps to know who the hell you're climbing with. Such situations are not common, but also aren't exceptionally rare either on trad routes that are either new or not well-traveled. All the theory in the world about multiple anchor points and Jesus nuts goes out the window, and the game boils down to good old-fashioned climbing competence---the leader better not fall, just as in the days of hemp ropes and nailed boots.
By the way, had the leader who must not fall fallen, he was in for one hell of a dynamic belay---I wouldn't have tried to stop him in a hurry. I had my gloves on (as always) and was careful to keep the rope out of the locked-off position for the belay device. Years ago we practiced catches like this, so I had a reasonable idea about how to clamp down.
Edit: Even in the medium-to-large stopper situation where two are ok, I'll usually place three pieces. But the third would typically be a cam, because using up three medium to large stoppers in the anchor would rather seriously deplete what we usually carry on the rack and possibly diminish the leader's protection options.
There's a lot to think about...
(This post was edited by rgold on May 6, 2009, 4:14 PM)
Sorry, but it depends. It's completely situational.
I've made four piece anchors where I was still shitting bricks, and more than several one piece anchors where I felt 100% secure.
And I'm not even just talking about trees. This is a one-piece anchor I particularly liked:
I was 15 feet off the ground, at a decent stance. My partner was leading up above me, and her pitch started with moderate (for her) and well protected climbing. She got in several good pieces early. Why would I want anything more than this excellent nut?
I've also done more than one belay in which the only piece of gear was my fat ass. In both cases, I only would have had to hold a TR fall, and I was well wedged into place.
Majid if reference to your picture... of course you need so many pieces if you place them under blocks that could move with a decent fall. Of course if a block shifts it doesn't matter how many pieces are under it so that picture looks like a three piece anchor to me, and the one on the left looks suspect.
My vote falls between sometimes two and always three (yes technically that makes me a sometimes two person). I feel like "sometimes" means more often than I would place them. I usually find at least two solid pieces and usually a third that I have confidence in. If I can find two perfect placements and I need to conserve gear in a size for the next pitch, or I can't find a good third placement I am happy with two. I will also go with two if there is a good stance acts as my primary piece and I am not worried about shock loading the anchor at the start of the next pitch.
For me my rule is three pieces unless the situation dictates otherwise, but I don't go into a climb with a "two sometimes" mentality.
That was five cams plus a back up some 20 feet in the back in that picture but the point I was making is that; you build anchors based on potential hazard that you may have to deal with in worse case scenario and not by some imaginary numbers out of your as* like how some of the climbers are using these days.
Majid if reference to your picture... of course you need so many pieces if you place them under blocks that could move with a decent fall. Of course if a block shifts it doesn't matter how many pieces are under it so that picture looks like a three piece anchor to me, and the one on the left looks suspect.
Agreed. Especially considering that most of Majid's posts make him sound like the only safe climber in the universe, that is a piss poor anchor to post a picture of. It really doesn't matter how many pieces are on the right side or if they're good or not, if you fall on that and the (very loose and unstable looking) block topples over on you, it wouldn't really matter if the other pieces held or not.
May 6, 2009, 5:55 PM
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Re: [pendereki] Two piece anchors are plenty strong! Poll!
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I sort of count a good stance as a piece, but I still put in at least 3 pieces of removable pro if possible. As a current weekend warrior, it's really not my goal to anaylze every possible failure mode of everything and figure out some sort of personal best practices, as some poeple seem to advocate. While you don't want to shut off your brain and do things just b/c you've been told to, my general goal is to keep current with generally accepted best practices, and do those. I think that means at least 3 pieces of removable pro. (Finally, I'd MUCH rather have 2 pieces of bomber pro than 3 or more pieces of junk)
Majid if reference to your picture... of course you need so many pieces if you place them under blocks that could move with a decent fall. Of course if a block shifts it doesn't matter how many pieces are under it so that picture looks like a three piece anchor to me, and the one on the left looks suspect.
Agreed. Especially considering that most of Majid's posts make him sound like the only safe climber in the universe, that is a piss poor anchor to post a picture of. It really doesn't matter how many pieces are on the right side or if they're good or not, if you fall on that and the (very loose and unstable looking) block topples over on you, it wouldn't really matter if the other pieces held or not.
I sort of count a good stance as a piece, but I still put in at least 3 pieces of removable pro if possible. As a current weekend warrior, it's really not my goal to anaylze every possible failure mode of everything and figure out some sort of personal best practices, as some poeple seem to advocate. While you don't want to shut off your brain and do things just b/c you've been told to, my general goal is to keep current with generally accepted best practices, and do those. I think that means at least 3 pieces of removable pro. (Finally, I'd MUCH rather have 2 pieces of bomber pro than 3 or more pieces of junk)
Most likely, this is perfectly good for the places you're climbing and the objectives you're tackling. But once you get further afield, there will be times when the above concept might mean making a very big tradeoff. Worse yet, it's a tradeoff that you're not making as a personal choice, but is forced upon you by your unwillingness to consider alternatives.
I'll use as an example one time when I was topping out on a long climb in Red Rocks. I had just led to the end of the last pitch. From that point to the top was a fourth class scramble. I had topped out on a huge (two feet thick at the top, a hundred feet tall, and perhaps dozens of yards thick at the bottom) flake, and had no gear aside from my body wide enough to build a belay with. So I had two options:
1 - continue to scramble up, potentially running out of rope (I was near the end already) and forcing my partner to start simulclimbing, in the hopes of finding good gear somewhere in the chossy scramble.
or
2 - Stand on a ledge down in behind the flake, call off belay, and start pulling up rope.
Two points:
A - When standing, my entire lower body was behind the flake. The whole cliff would have to get pulled off, or my lower body separated from my upper, for the belay to fail.
B - My partner at the time was pretty fried. She had just climbed more pitches at her limit than ever in her life (including some pretty spooky leads), and was getting close to seriously bonking. The pitch she was about to start seconding contained techniques that I knew she was unfamiliar with, and I wanted to stay close so communication would be possible. Forcing her to simulclimb in this situation could have been disastrous. Instead, she followed the pitch with no problem (I recall being able to communicate perfectly with her), and we got off no problem.
This is just one example. My point is that true safety doesn't come from the number of pieces of metal you put in the rock. It comes from good teamwork, knowing the right thing to do at the time, and being able to do it effectively.
May 6, 2009, 7:32 PM
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Re: [cracklover] Two piece anchors are plenty strong! Poll!
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basically, It's all situational. There are times when 3 pieces just isn't possible. Long pitch and out of gear, wrong gear for the crack, very little pro opportunity, etc etc.
If you can;t handle having a less than optimal anchor, don't leave the single pitch, G rated routes.
(This post was edited by Factor2 on May 6, 2009, 7:33 PM)
May 6, 2009, 7:47 PM
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Re: [Factor2] Two piece anchors are plenty strong! Poll!
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I use two sometimes, if they are amazing. I think that the poll is a little skewed. I'll bet most people use two occasionally or rarely instead of "sometimes." I could be wrong.
I typically try to do 3, two equalized with a third thrown in somewhere. It's all situational dependent, too many situations to describe here. One time saving trick that I have is throw in two amazing equalized pieces for the belay, and after my follower is climbing I'll throw in a third and work it into the anchor so we have a 3 point anchor by the time we're leading the next pitch and looking at a potential factor 2 fall. It all depends on length of route, required speed that we have to climb at, quality of rock and placements, etc.
Josh
(This post was edited by bandycoot on May 6, 2009, 7:49 PM)
Did you read the thread? No-one is pulling numbers out of their ass. Almost all the replies advocate thinking things through.
You're creating a reality in your head again.
STFU n00b
The OP is refering to magic two why ? because climbers are using the two protections most of the time therfore, using two protection is almost standard practice in building a trad anchor.
sure other people like yourself (ms angry ) will build anchors based one , three....or whatever number of protections but majority of people only use TWO.
May 6, 2009, 9:17 PM
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Re: [majid_sabet] Two piece anchors are plenty strong! Poll!
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majid_sabet wrote:
angry wrote:
Did you read the thread? No-one is pulling numbers out of their ass. Almost all the replies advocate thinking things through.
You're creating a reality in your head again.
STFU n00b
The OP is refering to magic two why ? because climbers are using the two protections most of the time therfore, using two protection is almost standard practice in building a trad anchor.
sure other people like yourself (ms angry ) will build anchors based one , three....or whatever number of protections but majority of people only use TWO.
STFU n00b read the posts and you'll see most use 3 and on occasion use 2
May 6, 2009, 9:23 PM
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Re: [cracklover] Two piece anchors are plenty strong! Poll!
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Cracklover: I do understand and agree with your example. My point, and I don't know if I'll succeed in convincing anyone, is to try to slightly undermine the "it's all situational" mind set that many people are espousing. I interpret that as thinking that every anchor is some unique thing (in way it it, but in a trival sense) and the climber is supposed to figure out how to set up an anchor from basic principles. That seems like a mistake to me. It seems to me that standard recreational climbing depends on very few variables, and safety is maximized when the same basic methods are employed nearly always, with exceptions being few. I don't mean you can't have more than tool in your box, but you should have a limited number of tools, know how to use them, and not try to repeatedly invent new tools at the top of every pitch. A good body belay would be one of those tools. Just my random musings--in reality, probably vast majority of experienced climbers do things in pretty much the same way, with just a few "tweaks" here and there that don't really affect safety.
(This post was edited by pfwein on May 6, 2009, 9:24 PM)
May 6, 2009, 9:34 PM
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Re: [moose_droppings] Two piece anchors are plenty strong! Poll!
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moose_droppings wrote:
jt512 wrote:
At least three pieces of removable pro (for a downward pull), two good bolts, or one solid tree/boulder. It's not that hard, people.
Jay
Even with one solid tree, I'm still going to want two connections off it.
Yes, moose, this is excellent advice.
Let us not forget Shelley Windsor's catastrophic anchor failure from a solid tree. A bomber back-up to something else probably would have saved her life that day.
I'd still use a single, solid tree or boulder (and have) if there wasn't anything else to be had, but the point to visually double check that my anchor is truly connected without a doubt has been very reinforced in my head. Then, if a back-up is to be had, I do use it, regardless of how beefy the tree/rock.
interesting thread - some of the replies make me feel like a pussy, but i'm cool with that...
i go for 3+, and have had my partner laugh his arse off when he arrives at the belay to see how many pieces i've put in. i'm new to this and hadn't previously considered the fact that whatever you use in the anchor isn't available on the next pitch (yeah, i know - duh) so overkill on the anchor does have consequences.
cracklover's one piece would scare the shit out of me, but i can see the sense in this if the placement is solid and the rock is good - though there's no chance in hell i'll be following suit any time soon.
May 6, 2009, 10:39 PM
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Re: [seatbeltpants] Two piece anchors are plenty strong! Poll!
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seatbeltpants wrote:
interesting thread - some of the replies make me feel like a pussy, but i'm cool with that...
i go for 3+, <snip> i'm new to this ...
If you're new, then yeah, you're no pussy: you're smart. You should definitely err on the side of overkill.
In reply to:
cracklover's one piece would scare the shit out of me, but i can see the sense in this if the placement is solid and the rock is good - though there's no chance in hell i'll be following suit any time soon.
steve
Again, that's as it should be for now.
But just as you discovered that when you place a lot of gear in the anchor, that gear isn't available for the next pitch, you'll keep finding other reasons why overkill isn't always the best policy.
Basically, I'm just saying keep learning, and be aware that there *are* often better solutions than the default.
Bill, How much gear do you take on a climb. If I had a 4 cam anchor at the bottom and top of a pitch I wouldn't have much to place during the climb. Personally I like to climb light with just a set of nuts and cams with maybe four double cams in whatever size looks to dominate the climb.
May 6, 2009, 10:45 PM
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Re: [cracklover] Two piece anchors are plenty strong! Poll!
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GO:
With respect to your one-piece "anchor," I guess I follow your logic: your partner, a woman, was probably much lighter than you (with your "fat ass"), and so this one piece was only there to keep you from accidentally falling off the ledge. It was NOT, in other words, intended to used as a typical multi-pitch anchor.
At least I hope not: it looks like a bomber piece for a downward pull, but worthless if the leader fall was capable of lifting your "fat ass" several feet off the ledge.
Cracklover: I do understand and agree with your example. My point, and I don't know if I'll succeed in convincing anyone, is to try to slightly undermine the "it's all situational" mind set that many people are espousing. I interpret that as thinking that every anchor is some unique thing (in way it it, but in a trival sense) and the climber is supposed to figure out how to set up an anchor from basic principles. That seems like a mistake to me. It seems to me that standard recreational climbing depends on very few variables, and safety is maximized when the same basic methods are employed nearly always, with exceptions being few. I don't mean you can't have more than tool in your box, but you should have a limited number of tools, know how to use them, and not try to repeatedly invent new tools at the top of every pitch.
Believe it or not, I agree entirely: the middle of a cliff is no place to try to figure out stuff for the first time.
But this is entirely different from the idea that there is a single "best" anchor. I feel that trying to divine such a thing is simply sinking to the lowest-common-denominator. That there is an anchor which, as you put it "with just a few 'tweaks here and there that don't really affect safety" is a one-size-fits-all is exactly what I'm warning against.
The example I give above is far beyond any "tweaks". And there was certainly a safety difference in my choices. And that safety difference did not favor more gear!
What I advocate is: do your homework, have plenty of practiced tricks up your sleeve, and you'll be in better shape to make the right choice at the right time.
May 6, 2009, 11:26 PM
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Re: [rocknice2] Two piece anchors are plenty strong! Poll!
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rocknice2 wrote:
majid_sabet wrote:
angry wrote:
Did you read the thread? No-one is pulling numbers out of their ass. Almost all the replies advocate thinking things through.
You're creating a reality in your head again.
STFU n00b
The OP is refering to magic two why ? because climbers are using the two protections most of the time therfore, using two protection is almost standard practice in building a trad anchor.
sure other people like yourself (ms angry ) will build anchors based one , three....or whatever number of protections but majority of people only use TWO.
STFU n00b read the posts and you'll see most use 3 and on occasion use 2
ohh man
what I am going to do with you blind people
the title says" Two piece anchors are plenty strong"
May 6, 2009, 11:27 PM
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Re: [retr2327] Two piece anchors are plenty strong! Poll!
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retr2327 wrote:
GO:
With respect to your one-piece "anchor," I guess I follow your logic: your partner, a woman, was probably much lighter than you (with your "fat ass"), and so this one piece was only there to keep you from accidentally falling off the ledge. It was NOT, in other words, intended to used as a typical multi-pitch anchor.
At least I hope not: it looks like a bomber piece for a downward pull, but worthless if the leader fall was capable of lifting your "fat ass" several feet off the ledge.
Am I reading that right?
Basically, yeah. The point of this example is that it was all that was needed at the time, and sometimes more than enough is too much.
Beyond a doubt she could have generated enough force to lift me off my stance. But lift me twice the height between my harness and the nut? That just wasn't in the cards for that climb.
I mean, let's think about the point of a multi-pitch anchor. It serves two purposes: one, to hold the belayer, to keep him/her from falling off the ledge. Doesn't take much to do that! And 2 - to be able to withstand a factor 2 fall.
Seeing as how I was only 15 feet or so off the talus, she'd have cratered before weighting my anchor. And also, she put several good pieces in right off the bat, and the climbing at the start of the pitch was moderate. Put all that together, and a factor two fall on the anchor just wasn't going to happen.
Again, this boils down to the fact that the anchor was perfectly suited to what it needed to do.
GO
(This post was edited by cracklover on May 6, 2009, 11:33 PM)
I had hoped this would generate discussion, I am not disappointed. Thanks all!
It was difficult to make a poll that would reflect exactly what I was thinking----I was thinking of norms, not exceptions, and gear placements, not tree and boulders. There will always be situations that need adapting to, that is understood and not what I was thinking about. From reading other threads, it seems as if there are folks who will use two pieces even though there is a third placement available, and be comfortable with that. I was taught that, IF POSSIBLE, always place a minimum of three pieces of gear. I was wondering if that basic tenant is changing. I do like three!
May 7, 2009, 1:30 AM
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Re: [pendereki] Two piece anchors are plenty strong! Poll!
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pendereki wrote:
I was taught that, IF POSSIBLE, always place a minimum of three pieces of gear. I was wondering if that basic tenant is changing. I do like three!
I like three as well, when possible. Heck, when possible, I prefer to have five. Six. Nine. To be honest, a 12 bomber point anchor suits me to a T.
The reality, though, is that such is not always (often... ever?) a logistical possibility. And, thus, the disparity of opinion. Sometimes, you do the best you can do and make do with what you did.
If that means a solidly slotted nut in a bottle-neck crack and a call to your second of "You're on belay, don't fall," then that's what you've got.
Spurt climbing has the luxury of hard-and-fast rules: "Two bolts at each anchor, period, and never belay off anything less" and all that. Trad routes in general -- and multi-pitch alpine routes in particular -- have no such luxury. Sometimes, ya just gotta make do.
May 13, 2009, 10:22 PM
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majid_sabet wrote:
angry wrote:
Did you read the thread? No-one is pulling numbers out of their ass. Almost all the replies advocate thinking things through.
You're creating a reality in your head again.
STFU n00b
The OP is refering to magic two why ? because climbers are using the two protections most of the time therfore, using two protection is almost standard practice in building a trad anchor.
sure other people like yourself (ms angry ) will build anchors based one , three....or whatever number of protections but majority of people only use TWO.
May 13, 2009, 10:48 PM
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majid_sabet wrote:
and not by some imaginary numbers out of your as* like how some of the climbers are using these days.
TIME FOR PULLING NUMBERS OUT OF MY ASS........
So everything is climbing is based upon matching the ultimate strength of your rope. Ropes are assumed to have a breaking strength of 30kN. Tie a knot in it and you are down to 20 kN.
So assuming you have only two pieces, sharing an equal load of 10 kN each then you are matching the strength of the rope.
Of course there is a hitch..... Sure SOME pieces of trad gear are rated at 10 kN (or higher) but the majority are around 7 - 8 kN, and of course rock quality varies greatly from area to area.
I have done everything from 0 pieces (firm stance w. hip belay) to 11 pieces (2 person rescue belay on terrible rock w. 8 more pieces for the haul system)
As previsly stated, it really depends. Rock quality, risk of loading the anchor, consequences of loading the anchor, available equipment... I could go on.
I have rappelled off of mushroom in squamish before the anchor was replaced, and was terrified (5 old bolts and a piton in a drillhole, equalized) and have been completely fine rapping off a single bomber nut.
May 14, 2009, 12:01 PM
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summerprophet wrote:
majid_sabet wrote:
and not by some imaginary numbers out of your as* like how some of the climbers are using these days.
TIME FOR PULLING NUMBERS OUT OF MY ASS........
So everything is climbing is based upon matching the ultimate strength of your rope. Ropes are assumed to have a breaking strength of 30kN. Tie a knot in it and you are down to 20 kN.
Try more like 9.3 kN for a "typical" climbing rope. And while I'm making up numbers, a "typical" belayer can only hold 3-4 kN with an ATC, so the reality is that is max force on both belayer and climber, double that for the highest anchor. If the "Jesus Nut" holds there should be little or no force on the belay anchor.
May 14, 2009, 12:46 PM
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Seemingly overlooked in this discussion is actually getting the climb done.I lead 95% of the pitches I climb.What use is a terrific three piece cam anchor that sucks up your red,yellow and blue C4 if there is a hand crack looming above?Belay anchors can't always,or even frequently look like Majid's truckstops,because some of us want to climb above that point,and get some gear in.
So,in reality,you may belay from four iffy stoppers equalised however you prefer,despite the existance of a great cam crack,because the person leading the next pitch is going to need the goods.
I'll take a solid Jesus piece over a nine piece POS like Majid posted every time.
May 14, 2009, 1:57 PM
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swoopee wrote:
Try more like 9.3 kN for a "typical" climbing rope....
I think you should check your sources on that, the olny numbers I have encountered that low were BD's testing on 9.1mm ropes WELL past retirement age.
In addition, grip strength alone is well under 1kN for most individuals, but given the efficiency of an ATC, working loads are a little higher than what you stated at 4-5 kN.
I am willing to accept your belay stats as diferent studies can pull different results (gloves on vs gloves off), but I am curious as to where you read about the breaking strengths of ropes?
Admittedly, there could be a high amount of variability in a dynamic rope. The very qualities of a rope designed to stretch make it difficult to determine exact breaking point, and require repeated pulls, to weaken the cord. Unlike steel cable which has a fairly predictable failure point.
(edited to fix quote)
(This post was edited by summerprophet on May 14, 2009, 4:57 PM)
May 14, 2009, 4:55 PM
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Well how about 22 kN? That's a nice round imaginary number that often gets batted around. Where does that come from? At least I did qualify my post by commenting that I was making up numbers, which is pretty much what everyone else does when it comes to discussing anchors. I am fairly certain that when hanging from a rope I put a force of ~0.91 kN on it, anything beyond that is purely speculation when it comes to dynamic systems.
May 14, 2009, 6:10 PM
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I chose sometimes 2 pieces, not because as majidiot wants everyone to believe, 2 piece anchors are the norm (they most certainly are NOT the norm), but because that was all that was available to me. I have also rapped off of a single nut on occasion, but my typical anchor consists of either 3 or 4 pieces (more if necessary).
May 17, 2009, 6:13 AM
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summerprophet wrote:
majid_sabet wrote:
and not by some imaginary numbers out of your as* like how some of the climbers are using these days.
Ropes are assumed to have a breaking strength of 30kN. .
Not even close. Not even the most extreme duty 11 mm dynamic rope will hold that. A brand new 10.5 mm dynamic rope will hold about 9 - 10 kN with a figure eight. The used 10.5 mm rope I tested held about 6.1 kN with a munter hitch.
You will notice that the obviously new ropes tested on that page broke around 2200 lbs. Although I am not sure what diameter that rope is, it would be a safe to bet they are 10.5 mm or close.
(This post was edited by USnavy on May 17, 2009, 6:17 AM)
You will notice I said ASSUMED to have a breaking strength of 30 kN.
This assumption is accepted for all strength calculation of systems, anchors and general rigging. For simplicity, this "Magic Number" is the same for low stretch and high stretch ropes.
The very abilities we find desirable in climbing ropes make testing predictions incredibly complex. A new rope out of the bag will be virtually unbreakable as it will just continue to stretch more and more.
I have personally witnessed a VERY old rope, with multiple core shots lift a 10000 load (after stretching to about 140% of its length.
The only way in a testing environment is to subject the rope to continued cyclic loading, in which repeated stresses are applied to the point where the elastic properties of the rope are reduced, and the long fibers are fatigued.
This is the method in which I have discovered all the testing thus far, if you find others, I would like to read them.
Again, my background is rigging, not testing methods, so hopefully I haven't botched up too much, but you can certainly understand where I am coming from.
It is somewhat accepted that all ropes will have a ASSUMED strength of 30 kN. Simple physics would explain why bolts would approach this number, harnesses would be rated to half of that, and why I would have answered the OP in the fashion I did. In fact if you analyze most practiced methods, you will see that all systems we have been taught to use meet this 30kN(-30% for knots) strength.
May 17, 2009, 8:38 AM
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summerprophet wrote:
USNavy,
You will notice I said ASSUMED to have a breaking strength of 30 kN.
This assumption is accepted for all strength calculation of systems, anchors and general rigging. For simplicity, this "Magic Number" is the same for low stretch and high stretch ropes.
The very abilities we find desirable in climbing ropes make testing predictions incredibly complex. A new rope out of the bag will be virtually unbreakable as it will just continue to stretch more and more.
I have personally witnessed a VERY old rope, with multiple core shots lift a 10000 load (after stretching to about 140% of its length.
The only way in a testing environment is to subject the rope to continued cyclic loading, in which repeated stresses are applied to the point where the elastic properties of the rope are reduced, and the long fibers are fatigued.
This is the method in which I have discovered all the testing thus far, if you find others, I would like to read them.
Again, my background is rigging, not testing methods, so hopefully I haven't botched up too much, but you can certainly understand where I am coming from.
It is somewhat accepted that all ropes will have a ASSUMED strength of 30 kN. Simple physics would explain why bolts would approach this number, harnesses would be rated to half of that, and why I would have answered the OP in the fashion I did. In fact if you analyze most practiced methods, you will see that all systems we have been taught to use meet this 30kN(-30% for knots) strength.
Yes I know what you’re saying. You’re implying that the breaking strength of a rope under dynamic conditions is 30 kN. I am saying the static breaking strength is much less. That’s all. Was that old rope that held 10,000 lbs. an unmodified dynamic climbing rope 11 mm or less in diameter? Was the load being held by a single strand?
May 17, 2009, 5:01 PM
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summerprophet wrote:
USNavy,
You will notice I said ASSUMED to have a breaking strength of 30 kN.
This assumption is accepted for all strength calculation of systems, anchors and general rigging. For simplicity, this "Magic Number" is the same for low stretch and high stretch ropes.
The very abilities we find desirable in climbing ropes make testing predictions incredibly complex. A new rope out of the bag will be virtually unbreakable as it will just continue to stretch more and more.
I have personally witnessed a VERY old rope, with multiple core shots lift a 10000 load (after stretching to about 140% of its length.
The only way in a testing environment is to subject the rope to continued cyclic loading, in which repeated stresses are applied to the point where the elastic properties of the rope are reduced, and the long fibers are fatigued.
This is the method in which I have discovered all the testing thus far, if you find others, I would like to read them.
He just did. Did you follow the link? BD tested 4 rope samples with in a static pull test, and they found that they all failed at around 2200–2300 lbf, about 10 kN. How do you reconcile that test with your claim that ropes have an "assumed" strength of 3 times that figure.
Yes I know what you’re saying. You’re implying that the breaking strength of a rope under dynamic conditions is 30 kN. I am saying the static breaking strength is much less. That’s all. Was that old rope that held 10,000 lbs. an unmodified dynamic climbing rope 11 mm or less in diameter? Was the load being held by a single strand?
What I am trying to say, is static breaking strengths are an inaccurate method for measuring high stretch ropes. For example this is what I would expect to see in a test of breaking strength (although as mentioned, I am a rigger, not a tester)
Phase 1 - rope stretches and machine maxes at 5000 lbs. Phase 2, machinery reset for further pull, DURING WHICH the load is reduced to 1500 lbs as the rope stretches Phase 3 - rope stretches to machine maximum at 5000 lbs Phasse 4 - Machine reset and load again reduces to 2600 lbs as rope stretches Phase 5 - machine stretches, rope fails at 2700 lbs.
(Again these numbers are totally made up, but this is my understanding of how ropes are broken, and explains why static testing does not represent rope strength during use. Ropes are designed to reduce forces, and by that nature, testing ropes eliminates any represeantation of actual use.
The rope we used (EXTREMELY NON SCIENTIFIC TEST) was a beat up 11mm gym rope. Single strand, 1 m long, bowline on each end. lifted ballast using a forklift, maved and placed at another location, total load time around 45 seconds, rope sheath cut at three locations, two where it ran over the 90 degree bends on the forklift forks and one where it ran through the steel cable on the ballast.
He just did. Did you follow the link? BD tested 4 rope samples with in a static pull test, and they found that they all failed at around 2200–2300 lbf, about 10 kN. How do you reconcile that test with your claim that ropes have an "assumed" strength of 3 times that figure.
Jay
As stated below, static pull testing is not a representaion of real world scenarios. Jay, you have a fair amount of miles on hard routes and I assume you have taken your fair number of whippers.
You can agree that whipping repeatedly at the same spot, the rope begins to lose some of its elasticity and the catches start to feel a bit harder.
Between these falls the rope contracts, resoring its elasticity and therin is where the strength of the rope lies. In its elasticity.
Static testing subjests the rope to unrealistic situations as far as the method you and I use ropes.
I didn't make up this 30kN number, look into any of the high angle rigging, rigging for rescue, or ropes that rescue and you will see this number repeated.
May 17, 2009, 8:19 PM
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summerprophet wrote:
USnavy wrote:
Yes I know what you’re saying. You’re implying that the breaking strength of a rope under dynamic conditions is 30 kN. I am saying the static breaking strength is much less. That’s all. Was that old rope that held 10,000 lbs. an unmodified dynamic climbing rope 11 mm or less in diameter? Was the load being held by a single strand?
What I am trying to say, is static breaking strengths are an inaccurate method for measuring high stretch ropes. For example this is what I would expect to see in a test of breaking strength (although as mentioned, I am a rigger, not a tester)
Phase 1 - rope stretches and machine maxes at 5000 lbs. Phase 2, machinery reset for further pull, DURING WHICH the load is reduced to 1500 lbs as the rope stretches Phase 3 - rope stretches to machine maximum at 5000 lbs Phasse 4 - Machine reset and load again reduces to 2600 lbs as rope stretches Phase 5 - machine stretches, rope fails at 2700 lbs.
(Again these numbers are totally made up, but this is my understanding of how ropes are broken, and explains why static testing does not represent rope strength during use. Ropes are designed to reduce forces, and by that nature, testing ropes eliminates any represeantation of actual use.
Well, there is nothing in that link to black diamond suggesting that there were any such phases and machine resets in the tests, but I hope you're right, because otherwise those BD numbers look pretty low.
May 17, 2009, 8:29 PM
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king_rat wrote:
...For trad gear I would pretty much always use at least 3 peaces. There are however occasions, ie where there are large tree’s, boulders or bolts to use, where the anchors are clearly so good that two or even one is OK, on the other hand there have been times when I have used 6 or seven peaces of gear to build an anchor.
I whole heartedly agree. I've belayed off of a solid stance with no pieces (4th class), a single nut (large and really solid, and all I had left at the end of the pitch), 2 and 3 piece anchors are the norm, but Ive used up to 7 or 8 pieces in an anchor. Its all dependant on what you have and what will suffice.
Yes I know what you’re saying. You’re implying that the breaking strength of a rope under dynamic conditions is 30 kN. I am saying the static breaking strength is much less. That’s all. Was that old rope that held 10,000 lbs. an unmodified dynamic climbing rope 11 mm or less in diameter? Was the load being held by a single strand?
What I am trying to say, is static breaking strengths are an inaccurate method for measuring high stretch ropes. For example this is what I would expect to see in a test of breaking strength (although as mentioned, I am a rigger, not a tester)
Phase 1 - rope stretches and machine maxes at 5000 lbs. Phase 2, machinery reset for further pull, DURING WHICH the load is reduced to 1500 lbs as the rope stretches Phase 3 - rope stretches to machine maximum at 5000 lbs Phasse 4 - Machine reset and load again reduces to 2600 lbs as rope stretches Phase 5 - machine stretches, rope fails at 2700 lbs.
(Again these numbers are totally made up, but this is my understanding of how ropes are broken, and explains why static testing does not represent rope strength during use. Ropes are designed to reduce forces, and by that nature, testing ropes eliminates any represeantation of actual use.
It appears the devices they used to test those ropes had enough clearance to test the ropes in a single phase. If the machine did not have the clearance to break the rope, they would have to have untied the knot and retied it to make the rope shorter after the first pull. Well there is no way in hell your untying a figure eight after its been loaded to thousands of pounds.
If you look at the entire BD article, there are some 20 tests they did in which the breaking strength of the rope was determined. In all cases it appears they tested the rope until it broke in one pull. In all cases the rope broke well below 30 kN. In fact many broke below 10 kN. Just read through the whole page and you will see.
Although it is interesting to note the breaking strength of the ropes they tested seem to very quite sporadically, and many smaller ropes were stronger then larger ropes, none of them broke anywhere close to 20 kN. let alone 30.
(This post was edited by USnavy on May 18, 2009, 6:23 AM)
Dynamic ropes are tested for a maximum impact force which is far below 30kN. As long as they can stretch far enough to dissipate the energy of the fall they will have a tension that is not much above that impact force.
A static pull test will show you how far they can stretch. My understanding is that the drop tests are pretty damn severe and have high energies compared to even the most severe of climbing falls.
It seems reasonable that holding a 30kN static force is not needed for safety.
May 25, 2009, 10:31 PM
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hafilax wrote:
Dynamic ropes are tested for a maximum impact force which is far below 30kN. As long as they can stretch far enough to dissipate the energy of the fall they will have a tension that is not much above that impact force.
That is false. The tension is proportional to the relative elongation of the rope. Hooke's Law.
Oh yeah. I wasn't thinking about it clearly. The maximum impact force is for the test which is what, 80kg and a 1.78 FF?
Let me restate that as long as you don't exceed the energy of the test by much you won't get a tension in the rope much higher than the rated impact force.
Maximum impact forces are usually around what 8 or 9 kN? The ropes in the BD test were breaking pretty close to that. The new rope broke at around 15kN. A factor of 2 seems pretty slim and yet the ropes all pass the UIAA certification.
Many of those old ropes should snap on the first 1.78 FF, 80kg drop. It would be interesting to see if that happens and if the dynamic breaking strength is different from the static.
May 25, 2009, 10:59 PM
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Now that we're not really addressing the question could somebody who always uses three pieces make a justification why two is not adequate if they're bomber?
May 25, 2009, 11:13 PM
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jmeizis wrote:
Now that we're not really addressing the question could somebody who always uses three pieces make a justification why two is not adequate if they're bomber?
One bomber piece is strong enough. If there is zero chance of that one piece failing, it would not be necessary to back it up. I do not feel 'zero chance' is realistic; there is at least a small chance that a placement may fail. Therefore I back it up, I do not ever want to be hanging from just one piece. If one of two pieces fails, you are then hanging on a single piece of protection, and I have admitted that there is a chance a piece could fail. Three pieces of protection allows for one piece to fail, and a person to still have back up.
May 25, 2009, 11:28 PM
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There's still a small chance that all the pieces will fail so why not place 4 or 27. If you have a 12 piece anchor and 11 of the pieces fail then you'll be on one. So by that trend of thinking we can't possibly be safe...ever. We're all gonna die!
May 25, 2009, 11:30 PM
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I've used zero pieces before, with a totally bomber stance (top of a squeeze chimney) and used 5 too. just depends on what is available on the rock and on the rack and how freaked out I am.
May 26, 2009, 12:16 AM
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jmeizis wrote:
There's still a small chance that all the pieces will fail so why not place 4 or 27. If you have a 12 piece anchor and 11 of the pieces fail then you'll be on one. So by that trend of thinking we can't possibly be safe...ever. We're all gonna die!
1-2-3 What are we fighting for? Don’t ask me, I don’t give a damn. The next stop is Vietnam. 5-6-7 Open up the pearly gates. It ain’t no time to wonder why. Yippee! We’re all going to die.
May 26, 2009, 1:53 AM
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jmeizis wrote:
There's still a small chance that all the pieces will fail so why not place 4 or 27. If you have a 12 piece anchor and 11 of the pieces fail then you'll be on one. So by that trend of thinking we can't possibly be safe...ever. We're all gonna die!
Because 3 is a magic number. 4 or 27 are not. Therefore, 3 is better.
May 26, 2009, 2:04 AM
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bill413 wrote:
jmeizis wrote:
There's still a small chance that all the pieces will fail so why not place 4 or 27. If you have a 12 piece anchor and 11 of the pieces fail then you'll be on one. So by that trend of thinking we can't possibly be safe...ever. We're all gonna die!
Because 3 is a magic number. 4 or 27 are not. Therefore, 3 is better.
pendereki - really liked your answer.
altelis - nice choice of music.
haha. not to date myself (in the opposite way that most people use it) but i used to LOVE sitting around and listening to my dad's woodstock lps.....!
There's still a small chance that all the pieces will fail so why not place 4 or 27.
Because 3 is the fewest pieces of removable protection that, by visual inspection, appear individually infallible under the highest load believed possible, for which the probability of total anchor failure is infinitesimal.
There's still a small chance that all the pieces will fail so why not place 4 or 27.
Because 3 is the fewest pieces of removable protection that, by visual inspection, appear individually infallible under the highest load believed possible, for which the probability of total anchor failure is infinitesimal.
There's still a small chance that all the pieces will fail so why not place 4 or 27.
Because 3 is the fewest pieces of removable protection that, by visual inspection, appear individually infallible under the highest load believed possible, for which the probability of total anchor failure is infinitesimal.
Seemingly overlooked in this discussion is actually getting the climb done.I lead 95% of the pitches I climb.What use is a terrific three piece cam anchor that sucks up your red,yellow and blue C4 if there is a hand crack looming above?Belay anchors can't always,or even frequently look like Majid's truckstops,because some of us want to climb above that point,and get some gear in.
So,in reality,you may belay from four iffy stoppers equalised however you prefer,despite the existance of a great cam crack,because the person leading the next pitch is going to need the goods.
I'll take a solid Jesus piece over a nine piece POS like Majid posted every time.
tricams make great anchors, usually don't want to fiddle with them on lead if it will take a cam, and they are bomber for building anchors. the number 4 in the pic got replaced with a tricam slightly above when my 2nd arrived. guess the climb for bonus points, it's a classic in eldo. link: http://img29.imageshack.us/img29/8560/p1030638.jpg
(This post was edited by mikeo on May 26, 2009, 8:33 PM)
Dynamic ropes are tested for a maximum impact force which is far below 30kN. As long as they can stretch far enough to dissipate the energy of the fall they will have a tension that is not much above that impact force.
That is false. The tension is proportional to the relative elongation of the rope. Hooke's Law.
Jay
Sorry Jay, I usually agree with things you say, but hooke's law only applies to the linear elastic region, and with dynamic ropes, once you are about at the maximum impact force you leave this region (if you assume that a rope behaves in a linear elastic manner to begin with).
May 26, 2009, 10:53 PM
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kennoyce wrote:
In reply to:
In reply to:
Dynamic ropes are tested for a maximum impact force which is far below 30kN. As long as they can stretch far enough to dissipate the energy of the fall they will have a tension that is not much above that impact force.
That is false. The tension is proportional to the relative elongation of the rope. Hooke's Law.
Jay
Sorry Jay, I usually agree with things you say, but hooke's law only applies to the linear elastic region, and with dynamic ropes, once you are about at the maximum impact force you leave this region...
Huh? The rope does not have an absolute maximum impact force. The maximum impact force for a particular rope is a function of the fall factor and the weight of the climber.
May 26, 2009, 11:33 PM
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kennoyce wrote:
I chose sometimes 2 pieces, not because as majidiot wants everyone to believe, 2 piece anchors are the norm (they most certainly are NOT the norm), but because that was all that was available to me. I have also rapped off of a single nut on occasion, but my typical anchor consists of either 3 or 4 pieces (more if necessary).
As has been said it is all situation dependent.
Rapping off a single piece is different than belaying off the same one. In rapping, the load is static so whatever is on the anchor is not going to affect the anchor unless you do monkey move or a sudden stop while rapping.
On belaying, you could shock load your anchor from 5kn to 30 kn and that is where the two piece anchor may not be sufficient to handle the shock load.
The maximum impact force figure for a rope is the maximum force measure in the first drop of the UIAA test. The requirement is that it be less than 12kN for single ropes. The force quickly goes up in the subsequent drops in the test; I've read up to 15kN by the 4th drop. I accidentally started this whole thing when I was thinking of the rope like a screamer which it isn't at all.
I just took a quick look at the literature and it seems that ropes are highly non linear and that the force-extension curve has significant upward concavity. The springiness increases as it stretches.
The following statement that I made on page 3 is incorrect as well:
I wrote:
Let me restate that as long as you don't exceed the energy of the test by much you won't get a tension in the rope much higher than the rated impact force.
It's not the energy but the fall factor that is important. Even then, for high fall factors the experimental results will high by up to 30% for a Hook's law model and that a second order fit gives better results. This is also ignoring knots but that's a whole other kettle of fish.
My main point is that there is no reason to think that ropes will hold a 30kN load. The UIAA tests must have a peak force number for the ropes when they snap but that is under highly unusual circumstances. Otherwise even in the extreme case of the 4th drop of the UIAA test the maximum tension in the rope is limited to around 15kN.
and not by some imaginary numbers out of your as* like how some of the climbers are using these days.
Ropes are assumed to have a breaking strength of 30kN. .
Not even close. Not even the most extreme duty 11 mm dynamic rope will hold that. A brand new 10.5 mm dynamic rope will hold about 9 - 10 kN with a figure eight. The used 10.5 mm rope I tested held about 6.1 kN with a munter hitch.
You will notice that the obviously new ropes tested on that page broke around 2200 lbs. Although I am not sure what diameter that rope is, it would be a safe to bet they are 10.5 mm or close.
Because 3 is the fewest pieces of removable protection that, by visual inspection, appear individually infallible under the highest load believed possible, for which the probability of total anchor failure is infinitesimal.
How much less probable is it than a removeable two piece anchor in which each piece is bomber by visual inspection? How much more probable is three than four? I sucked at calculus and statistics but wouldn't it increase logarithmically for each piece placed (many things being equal, which might as well be ignored).
In which case if the probability of anchor failure for a two piece anchor is 50%, a three piece anchor is 5%, and a four piece anchor is only 2.5% then it makes sense to have more than two pieces but less so to have four pieces.
On the other hand if the probability for failure of a two piece anchor is 10%, a three piece anchor is 5%, and a four piece anchor is 2.5%, then it seems that a three piece anchor is not significantly better than a two piece anchor.
Obviously I'm pulling statistics out of my ass but I didn't see anyone putting forth any actual evidence besides three is better than two.
May 27, 2009, 12:45 AM
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Re: [hafilax] Two piece anchors are plenty strong! Poll!
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hafilax wrote:
The maximum impact force figure for a rope is the maximum force measure in the first drop of the UIAA test. The requirement is that it be less than 12kN for single ropes. The force quickly goes up in the subsequent drops in the test; I've read up to 15kN by the 4th drop. I accidentally started this whole thing when I was thinking of the rope like a screamer which it isn't at all.
I just took a quick look at the literature and it seems that ropes are highly non linear and that the force-extension curve has significant upward concavity. The springiness increases as it stretches.
Could you cite the specific literature you are referring to, because it seems to contradict what rgold, who seems very familiar with the literature, has said; namely, that Hooke's Law is a very reasonable model of the max. impact force of a dynamic rope, except when the fall is very short (and very long?). Note, that these exceptions are for extremes of fall length, not fall factor.
In reply to:
The following statement that I made on page 3 is incorrect as well:
I wrote:
Let me restate that as long as you don't exceed the energy of the test by much you won't get a tension in the rope much higher than the rated impact force.
I know. I already pointed out that error, and you already agreed, IIRC.
In reply to:
It's not the energy but the fall factor that is important.
Both the energy and the fall factor are important determinants of the maximum impact force. Under Hooke's Law, the maximum impact force on the climber
T = w + sqrt(w^2 + 2krw),
where T is the maximum impact force on the climber, w is the climber's weight, k is the rope modulus (assumed constant here), and r is the fall factor.
The kinetic energy of the fall is determined by the weight of the climber and the height of the fall. The fall factor takes care of the height of the fall, but not the weight of the climber, which has an independent contribution to T, as the above equation shows.
In reply to:
My main point is that there is no reason to think that ropes will hold a 30kN load. The UIAA tests must have a peak force number for the ropes when they snap but that is under highly unusual circumstances. Otherwise even in the extreme case of the 4th drop of the UIAA test the maximum tension in the rope is limited to around 15kN.
There may be no reason to think that ropes will hold a 30 kN load, but based on the analysis you presented, there is no reason to think they won't. However, USNavy did post a link to several static pull tests in which ropes broke at loads less than 30 kN. That's the only thing in this thread, as far as I can see, that provides any insight into the question.
Because 3 is the fewest pieces of removable protection that, by visual inspection, appear individually infallible under the highest load believed possible, for which the probability of total anchor failure is infinitesimal.
How much less probable is it than a removeable two piece anchor in which each piece is bomber by visual inspection?
How much more probable is three than four? I sucked at calculus and statistics but wouldn't it increase logarithmically for each piece placed (many things being equal, which might as well be ignored).
Under two mild assumptions, if p is the probability of one piece pulling, n is the number of pieces in the anchor, and P is the probability of all the pieces pulling, then P = p^n. Each piece added to the anchor, therefore, decreases the probability of total anchor failure by a factor of p.
In reply to:
In which case if the probability of anchor failure for a two piece anchor is 50%, a three piece anchor is 5%, and a four piece anchor is only 2.5% then it makes sense to have more than two pieces but less so to have four pieces.
On the other hand if the probability for failure of a two piece anchor is 10%, a three piece anchor is 5%, and a four piece anchor is 2.5%, then it seems that a three piece anchor is not significantly better than a two piece anchor.
None of those numbers is consistent with the equation for P above. Plug in some realistic numbers, see what you come up with, and if you still disagree that 3 is the "magic" number, post up.
Because 3 is the fewest pieces of removable protection that, by visual inspection, appear individually infallible under the highest load believed possible, for which the probability of total anchor failure is infinitesimal.
How much less probable is it than a removeable two piece anchor in which each piece is bomber by visual inspection?
How much more probable is three than four? I sucked at calculus and statistics but wouldn't it increase logarithmically for each piece placed (many things being equal, which might as well be ignored).
Under two mild assumptions, if p is the probability of one piece pulling, n is the number of pieces in the anchor, and P is the probability of all the pieces pulling, then P = p^n. Each piece added to the anchor, therefore, decreases the probability of total anchor failure by a factor of p.
In reply to:
In which case if the probability of anchor failure for a two piece anchor is 50%, a three piece anchor is 5%, and a four piece anchor is only 2.5% then it makes sense to have more than two pieces but less so to have four pieces.
On the other hand if the probability for failure of a two piece anchor is 10%, a three piece anchor is 5%, and a four piece anchor is 2.5%, then it seems that a three piece anchor is not significantly better than a two piece anchor.
None of those numbers is consistent with the equation for P above. Plug in some realistic numbers, see what you come up with, and if you still disagree that 3 is the "magic" number, post up.
Jay
is there a relatively and equally simple formula for approximating P when p is different for the different pieces in the anchor? or does that fuck the simple-factor up nice and good?
May 27, 2009, 1:53 AM
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Re: [altelis] Two piece anchors are plenty strong! Poll!
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altelis wrote:
jt512 wrote:
Under two mild assumptions, if p is the probability of one piece pulling, n is the number of pieces in the anchor, and P is the probability of all the pieces pulling, then P = p^n. Each piece added to the anchor, therefore, decreases the probability of total anchor failure by a factor of p.
is there a relatively and equally simple formula for approximating P when p is different for the different pieces in the anchor? or does that fuck the simple-factor up nice and good?
You multiply the individual probabilities of failure. So, if the probability of piece one failing is p1, and piece 2 is p2, and piece 3 is p3... P = p1 * p2 * p3.... (This gives the formula that Jay stated if p1 = p2 = p3...).
May 27, 2009, 1:57 AM
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Re: [altelis] Two piece anchors are plenty strong! Poll!
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altelis wrote:
jt512 wrote:
jmeizis wrote:
In reply to:
Because 3 is the fewest pieces of removable protection that, by visual inspection, appear individually infallible under the highest load believed possible, for which the probability of total anchor failure is infinitesimal.
How much less probable is it than a removeable two piece anchor in which each piece is bomber by visual inspection?
How much more probable is three than four? I sucked at calculus and statistics but wouldn't it increase logarithmically for each piece placed (many things being equal, which might as well be ignored).
Under two mild assumptions, if p is the probability of one piece pulling, n is the number of pieces in the anchor, and P is the probability of all the pieces pulling, then P = p^n. Each piece added to the anchor, therefore, decreases the probability of total anchor failure by a factor of p.
In reply to:
In which case if the probability of anchor failure for a two piece anchor is 50%, a three piece anchor is 5%, and a four piece anchor is only 2.5% then it makes sense to have more than two pieces but less so to have four pieces.
On the other hand if the probability for failure of a two piece anchor is 10%, a three piece anchor is 5%, and a four piece anchor is 2.5%, then it seems that a three piece anchor is not significantly better than a two piece anchor.
None of those numbers is consistent with the equation for P above. Plug in some realistic numbers, see what you come up with, and if you still disagree that 3 is the "magic" number, post up.
Jay
is there a relatively and equally simple formula for approximating P when p is different for the different pieces in the anchor? or does that fuck the simple-factor up nice and good?
The two assumptions in my formula are (1) that the p's for each piece are equal and (2) that the failure of any piece does not affect probability of failure of any other piece (ie, independence). If you throw out equality of the p's but retain independence then the formula for n pieces becomes
P = p[1]*p[2]*p[3]*...*p[n],
in other words, P is just the product of the probabilities of the individual pieces failing. And, if the anchor contains k pieces, adding a (k+1)th piece reduces P by a factor of p[k+1].
If you throw out the independence assumption, you'd have to have, for each piece k in the anchor, an estimate of the conditional probability of the failure for each other piece in the anchor, should the kth piece fail, which, except for simple situations, like "the whole anchor will fail if a single piece blows," would be a mess.
Jay
(This post was edited by jt512 on May 27, 2009, 1:57 AM)
So I don't disagree that three is a magic number. It's got the highest difference in probability besides a two piece anchor over a one piece anchor, but that goes along with what I was saying before each piece makes for a better anchor. I think it makes the point quite obvious that the quality of the gear is more important than the number of pieces. If the gear has a 1% chance of pulling then it seems that a two piece anchor is highly likely to not fail (1 time out of 10,000). If their is a 75% chance of gear pulling then I personally wouldn't feel comfortable till I had more than five pieces and even then I would be afraid to weight the anchor.
Once you add in factors like probability of falling, dynamics of the belay, and all the many factors that play into climbing it seems that with bomber gear (x<25% of individual anchor pieces failing?) that two would be adequate, albeit not perfect. Already I'm injecting my own risk tolerance into things by accepting at maximum a 6.25% probability of total failure. With more probability of individual pieces failing it seems that three or more is necessary. This all goes along with what others were saying about the quality of rock, availability of gear, and what the ground ahead looks like.
Either way it makes for an interesting thing to think about when building anchors. It also makes me ever more scared to climb on sandstone. Maybe we aren't all gonna die. Just some of us.
(This post was edited by jmeizis on May 27, 2009, 2:49 AM)
I said give it some realistic numbers. If the probability of failure of a piece that you place and deem to be bombproof is actually 50%, then the optimal number of pieces your anchors should contain is 0, because you have no business leading trad in the first place.
In reply to:
If we go with a more likely probability of individual gear failure like say 10% then the difference is even smaller:
Those are interesting numbers, but I don't know why you posted them, given the following:
In reply to:
If the gear has a 1% chance of pulling then it seems that a two piece anchor is highly likely to not fail (1 time out of 10,000).
Actually, you've just made my point. If a single piece has a 1% chance of pulling, then, yes, a 2-piece anchor has a probability of failing of 1/10,000. That is not an infinitesimal probability (which was my criterion). But, if you add a third piece, now you're talking about a 1-in-a-million probability. Now that represents practically no risk. I'm willing to call an anchor that has a 1-in-a-million chance of failing "bombproof." But one that has a 1-in-10,000 chance of failing? No way.
In reply to:
Already I'm injecting my own risk tolerance into things by accepting at maximum a 6.25% probability of total failure.
Then you're a fucking lunatic. I hope you have disclosed your tolerance for risk to your partners. There is absolutely no fucking way I'd ever climb with anyone who was as casual about risk as you are.
May 27, 2009, 3:50 AM
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Re: [bill413] Two piece anchors are plenty strong! Poll!
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bill413 wrote:
I told you 3 was a magic number.
that was the best of the Schoolhouse Rock vids---
---funny, but i used 0 pieces on a fourth class walk-off because the second was sketchy, rapped off 1 piece, had a hanging belay on 2 pieces [cuz' there was nothing else], but built most anchors on 3 pieces out of 18 pitches just this weekend. 4 is a rarity [unless you count opposing nuts as individual pieces]. i guess---
I didn't say that a piece with a 50% probability of failure is bomproof. That'd be stupid. If I did then it was a mistake in wording.
The 1% failure rate is about the same as a condom. I don't have any babies and I haven't died yet so 1 in 10,000 seems infintesimal to me. Maybe once I knock some girl up I'll make sure I place three pieces all the time. I guess that word is open to a lot more interpretation than I thought. Infintesimal is obviously a lot smaller number for you. You're prejoratively a sport climber. I am not. I have seen a lot of things that I thought wouldn't hold that did so my assessment of what constitutes bomber might also be different than yours.
I'm not that casual about risk. Like I said before, there are a lot more factors going into it. Will I fall? Will I get in gear before I might fall? Will the catch be very dynamic? Will I hit something before my full weight comes onto the anchor? Placing two pieces at an anchor is not the norm for me but I do so on numerous occasions. If the anchor is marginal I'm sure to say so and place more gear. 6.25% probability of failure if it gets fallen on is pretty damn low. If I use the same anchor configuration with the same fairly marginal pieces and fall on it 100 times it will fail 6.25 times. How many times when you're climbing do you fall on the belay 100 times? Obviously it could fail the first six times or the last six but it's good much more often than not. Given the fact that most climbs that I do are onsighted then the actual probability of my anchors failing is more infintesimal than yours.
I'm not casual, I'm tolerant. You're not, that's why you stick to sport climbing and I like a little more variety in my repetoire.
Dynamic ropes are tested for a maximum impact force which is far below 30kN. As long as they can stretch far enough to dissipate the energy of the fall they will have a tension that is not much above that impact force.
That is false. The tension is proportional to the relative elongation of the rope. Hooke's Law.
Jay
Sorry Jay, I usually agree with things you say, but hooke's law only applies to the linear elastic region, and with dynamic ropes, once you are about at the maximum impact force you leave this region...
Huh? The rope does not have an absolute maximum impact force. The maximum impact force for a particular rope is a function of the fall factor and the weight of the climber.
Jay
right, the rope doesn't have an absolute maximum impact force, which is why I said, "about at the maximum impact force." Regardless what I was trying to say is that once outside of the linear elastic region (region with a constant modulus which on a rope doesn't really exist to begin with) hookes law no longer applies.
May 27, 2009, 2:55 PM
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Re: [kennoyce] Two piece anchors are plenty strong! Poll!
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kennoyce wrote:
In reply to:
In reply to:
In reply to:
In reply to:
Dynamic ropes are tested for a maximum impact force which is far below 30kN. As long as they can stretch far enough to dissipate the energy of the fall they will have a tension that is not much above that impact force.
That is false. The tension is proportional to the relative elongation of the rope. Hooke's Law.
Jay
Sorry Jay, I usually agree with things you say, but hooke's law only applies to the linear elastic region, and with dynamic ropes, once you are about at the maximum impact force you leave this region...
Huh? The rope does not have an absolute maximum impact force. The maximum impact force for a particular rope is a function of the fall factor and the weight of the climber.
Jay
right, the rope doesn't have an absolute maximum impact force, which is why I said, "about at the maximum impact force." Regardless what I was trying to say is that once outside of the linear elastic region (region with a constant modulus which on a rope doesn't really exist to begin with) hookes law no longer applies.
Well, you need to provide some evidence that predictions using Hooke's Law with a constant modulus are poor approximation of the maximum impact force.
Jay
(This post was edited by jt512 on May 27, 2009, 2:56 PM)
Well, you need to provide some evidence that predictions using Hooke's Law with a constant modulus are poor approximation of the maximum impact force.
Jay
The evidence has already been provided. The fact that the ropes in that BD test were all breaking at around 10 kN shows that once you reach that value, the rope will just stretch without taking a higher load until it breaks. look up any typical stress strain curve, and you'll see what I mean.
I'm not trying to argue with you or anything, but just stating that ropes don't behave exactly like a typical linear elastic material, this approximation is fine for certain things, but once the loads are to high, it no longer works.
May 27, 2009, 3:09 PM
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Re: [kennoyce] Two piece anchors are plenty strong! Poll!
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kennoyce wrote:
In reply to:
Well, you need to provide some evidence that predictions using Hooke's Law with a constant modulus are poor approximation of the maximum impact force.
Jay
The evidence has already been provided. The fact that the ropes in that BD test were all breaking at around 10 kN shows that once you reach that value, the rope will just stretch without taking a higher load until it breaks. look up any typical stress strain curve, and you'll see what I mean.
I'm not trying to argue with you or anything, but just stating that ropes don't behave exactly like a typical linear elastic material, this approximation is fine for certain things, but once the loads are to high, it no longer works.
OK, I understand what you are getting at now. Thanks.
I didn't say that a piece with a 50% probability of failure is bomproof. That'd be stupid. If I did then it was a mistake in wording.
The 1% failure rate is about the same as a condom. I don't have any babies and I haven't died yet so 1 in 10,000 seems infintesimal to me. Maybe once I knock some girl up I'll make sure I place three pieces all the time. I guess that word is open to a lot more interpretation than I thought. Infintesimal is obviously a lot smaller number for you. You're prejoratively a sport climber. I am not. I have seen a lot of things that I thought wouldn't hold that did so my assessment of what constitutes bomber might also be different than yours.
I'm not that casual about risk. Like I said before, there are a lot more factors going into it. Will I fall? Will I get in gear before I might fall? Will the catch be very dynamic? Will I hit something before my full weight comes onto the anchor? Placing two pieces at an anchor is not the norm for me but I do so on numerous occasions. If the anchor is marginal I'm sure to say so and place more gear. 6.25% probability of failure if it gets fallen on is pretty damn low.
The purpose of the anchor is to save the lives of the climbing party in the event of a fall, not reduce their chance of death to only 6%.
In reply to:
I'm not casual, I'm tolerant. You're not, that's why you stick to sport climbing and I like a little more variety in my repetoire.
It's not why I stick to sport climbing. It's why, when I build anchors, I build ones that I think have essentially no chance of failing.
May 27, 2009, 3:48 PM
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Re: [jmeizis] Two piece anchors are plenty strong! Poll!
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Jmeizis, you can add one more factor into your little hypothetical equation that will radically improve its usefulness, without requiring a supercomputer to calculate the probabilities:
Equalization
Let's say you are capable of creating an anchor that equalizes somewhat (distributes would be a better term than equalizes).
The point of the anchor is to be capable of holding the worst possible fall - a FF2, which can easily generate forces up to 18kN on the anchor.
Now let's look at your pieces again, and say that you estimate that each placement is 90% likely to fail at 18kN, 20% likely to fail at ~10kN, 10% likely to fail at ~7kN, and 2% likely to fail at ~5kN.
A single piece anchor gives you around: 90% chance of failure.
Two pieces, equalizing at 40/60 give you around: 20% x 10% = 2% chance of failure.
Three pieces, equalizing at 30/30/40 gives you around: 2% x 2% x 10% = 0.004% (four in 100,000)
Add a fourth piece, equalizing at 25/25/30/20, and you might see something like: 2% x 2% x 2% x 1.5% = .00001%
May 27, 2009, 4:13 PM
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Re: [cracklover] Two piece anchors are plenty strong! Poll!
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cracklover wrote:
Jmeizis, you can add one more factor into your little hypothetical equation that will radically improve its usefulness, without requiring a supercomputer to calculate the probabilities:
Equalization
Let's say you are capable of creating an anchor that equalizes somewhat (distributes would be a better term than equalizes).
The point of the anchor is to be capable of holding the worst possible fall - a FF2, which can easily generate forces up to 18kN on the anchor.
Now let's look at your pieces again, and say that you estimate that each placement is 90% likely to fail at 18kN, 20% likely to fail at ~10kN, 10% likely to fail at ~7kN, and 2% likely to fail at ~5kN.
A single piece anchor gives you around: 90% chance of failure.
Two pieces, equalizing at 40/60 give you around: 20% x 10% = 2% chance of failure.
Three pieces, equalizing at 30/30/40 gives you around: 2% x 2% x 10% = 0.004% (four in 100,000)
Add a fourth piece, equalizing at 25/25/30/20, and you might see something like: 2% x 2% x 2% x 1.5% = .00001%
So three looks like the magic number to me.
GO
lets use an avarage number of 12 KN since most trad gear are rated between 5-16 kn
and this new post should put an end this two piece whatever
Could you cite the specific literature you are referring to, because it seems to contradict what rgold, who seems very familiar with the literature, has said; namely, that Hooke's Law is a very reasonable model of the max. impact force of a dynamic rope, except when the fall is very short (and very long?). Note, that these exceptions are for extremes of fall length, not fall factor.
In the second paper he cites a work by Toomey (1988) in figure 13 which shows cartoon load vs extension curves for dynamic and static ropes. The dynamic rope line curves up and the static rope line is initially concave up then goes concave down. I would bet that at high enough elongations the same would happen for dynamic ropes which would support the force limiting hypothesis. The first paper gives some actual data for the deviation from Hooke's Law.
For most calculations I'm sure the Hooke's Law approximation is good enough and is tractable whereas a more complex behavior may require numerical techniques making the interpretation less transparent.
May 27, 2009, 7:33 PM
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Re: [jmeizis] Two piece anchors are plenty strong! Poll!
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jmeizis wrote:
There's still a small chance that all the pieces will fail so why not place 4 or 27. If you have a 12 piece anchor and 11 of the pieces fail then you'll be on one. So by that trend of thinking we can't possibly be safe...ever. We're all gonna die!
The purpose of the anchor is to save the lives of the climbing party in the event of a fall, not reduce their chance of death to only 6%.
In reply to:
It's why, when I build anchors, I build ones that I think have essentially no chance of failing.
You and I have crossed paths on this issue before. You once contended that an anchor wasn't an anchorr UNLESS it had essentially no chance of failing.
Real world is anchors are often sub-optimal. Yet anchors they be.
Now I tend to agree with the 3-bomber-piece strategy as a guiding principle. And I agree that the chances of such an anchor totally failing SHOULD BE remote.
But a million to one? Not in your wildest dreams are you going to construct such a robust anchor on a trad climb in the real world.
I suspect you will agree with this... what a lot of folks consider a bomber anchor with an improbable chance of failure... aren't. A lot of anchors out there, for various reasons from rock to situation to talent to the brains of the pilot - hold a much much higher chance of total failure than the climbers involved know or would care to admit.
Any one who has pursued serious trad climbing for a significant amount of time will have heard this:
'Dude, don't even THINK about falling till you get a piece in."
That is one reality of trad - a sooner or later situation imo. True risk analysis in the field would send most of us running for the car. Sometimes delusion is your best pro!
Now I don't mean that literally. But I think we trad climbers DO operate with much higher risks than perhaps many of us are willing to admit.
Million to One? Maybe in an antiseptic lab I suppose... but not in the World. Not even close.
Just an opinion - the expectation that all trad anchors SHOULD BE zero practical chance of failure is not well grounded in the realities of the sport, at least as I experienced them.
The purpose of the anchor is to save the lives of the climbing party in the event of a fall, not reduce their chance of death to only 6%.
In reply to:
It's why, when I build anchors, I build ones that I think have essentially no chance of failing.
But a million to one? Not in your wildest dreams are you going to construct such a robust anchor on a trad climb in the real world.
Why? You don't think that there are placements that have a probability of failure of 1%?
Jay
I guess I don't really know what a 1% piece is J. What does that even mean? In some sort of field-applicable manner? How does one distinguish a 1% piece from a 2%er or a 5%er? Isn't this 1% number just plucked from thin air for the convenience of back of the envelope risk analysis? There is no useful meaning to this term is there? I mean useful in the context of climbing, that is.
In terms of our discussion, correct - I do not think there are typically 3 independant 1% pro opportunities at each belay. I think the failure % is likely to significantly higher for the 'average' belay anchor.
If 3 so-called 1% pieces were in the same crack and one ripped the other two would not likely remain 1% pieces imo. Crack damage, shattered rock and what have you, or a change in belay/anchor angle...etc. rapidly changes the equation.
Look I'm not objecting to the notion of building solid anchors, bombproof even. What I am voiceing is my gut feeling that many if not most trad anchors would ultimately fail your bomb proof test. And I'm also voicing the caution that in trad the expectation of bomb proof anchors is at least part of the time is a fool's hope.
Trad IS dangerous. We like to minimize the danger, both real and perceived, both in our minds and in reality. Gauging the difference between our minds and reality is where the climbinb rubber hits the rock I guess.
May 27, 2009, 11:48 PM
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Re: [hafilax] Two piece anchors are plenty strong! Poll!
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hafilax wrote:
jt512 wrote:
Could you cite the specific literature you are referring to, because it seems to contradict what rgold, who seems very familiar with the literature, has said; namely, that Hooke's Law is a very reasonable model of the max. impact force of a dynamic rope, except when the fall is very short (and very long?). Note, that these exceptions are for extremes of fall length, not fall factor.
Non-linearity of the force–elongation curve appears to mainly be an issue for static and low-stretch ropes. In the above paper, Figure 1 shows little curvature for the line representing the dynamic rope, and the author states that "Weber (2001) has shown that Eq. 2 [the standard equation] does an inadequate job of predicting the forces in static ropes."
In the second paper he cites a work by Toomey (1988) in figure 13 which shows cartoon load vs extension curves for dynamic and static ropes. The dynamic rope line curves up and the static rope line is initially concave up then goes concave down.
You have misinterpreted the figure. The rope being modeled is a "marine nylon" rope, which I'm fairly certain would be a static or low-elongation rope, by climbing standards. "Dynamic" and "quasi-static" in that figure refer to types of moduli, not types of rope.
May 28, 2009, 12:11 AM
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Re: [no_email_entered] Two piece anchors are plenty strong! Poll!
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You have to think every anchor through and every situation is not the same. I rarely use two. Though two pieces can be plenty strong I want every anchor to hold as though it's holding a train. Yeah a single tree is great. Two bolts are good but combinations are what I look for. If I climb with someone and after seconding come to the anchor and only find two pieces in place as an anchor when more locations for gear is available I get offended. Your life as well as mine, if I'm climbing with your are paramount. This way you and I can climb again even if it is never together again. Build it strong so there are no doubts in anyone's mind.
You have to think every anchor through and every situation is not the same. I rarely use two. Though two pieces can be plenty strong I want every anchor to hold as though it's holding a train. Yeah a single tree is great. Two bolts are good but combinations are what I look for. If I climb with someone and after seconding come to the anchor and only find two pieces in place as an anchor when more locations for gear is available I get offended. Your life as well as mine, if I'm climbing with your are paramount. This way you and I can climb again even if it is never together again. Build it strong so there are no doubts in anyone's mind.
From the figures I've looked at for force vs. elongation, dynamic and static nylon ropes have the same behavior just different slopes and curvature. I would bet that you could come pretty close to scaling them all to a single curve using 2 parameters.
IIRC most of the papers I've read make some kind of approximation to deal with the non-Hooke like behavior of ropes. They generally are weak springs to start, then there is a roughly Hooke-like region after which they get stiffer. This seems very reasonable to me since they must have finite stretch and a point after which the deformation is no longer elastic. Given the damping nature of ropes it would surprise me more for them to behave like springs. The question is whether or not the deviation is important in climbing situations and I would say that for high fall factors it is.
I don't feel like doing a literature search again. Prove to me that ropes obey Hooke's Law.
May 28, 2009, 12:49 AM
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Re: [hafilax] Two piece anchors are plenty strong! Poll!
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hafilax wrote:
I don't feel like doing a literature search again. Prove to me that ropes obey Hooke's Law.
You already have the evidence. Draw the best-fit straight line that passes through origin to the data for the PMI 10.6 mm dynamic rope in Figure 1 of Attaway (2002). The departure from linearity is minor.
May 28, 2009, 12:49 AM
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Re: [hafilax] Two piece anchors are plenty strong! Poll!
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In my quest to satisfy jt's questions I came across a paper on the UIAA site titled "How strong does your climbing gear need to be?" from 2003. It has a pretty good summary of the reasoning used in developing the standards used in rating climbing gear.
Interestingly they explicitly state that there is no ultimate strength requirement for ropes, just the maximum impact force and the number of falls. Also, there is a claim that some ropes have lower impact forces in subsequent drops which is new to me.
They go on to estimate typical forces on running belays including a dynamic belay, friction and slippage in the belay device. They give good evidence that a 7kN max is a reasonable estimate based on in the field open gate biner tests done in the 80s with typical forces being in the 5-7kN range.
The maximum given for severe falls is about 20kN which is based on the 12kN maximum impact force figure used in the rope drop test. This is a simple calculation of the force on a biner with friction and a static belay in the drop test configuration.
I don't feel like doing a literature search again. Prove to me that ropes obey Hooke's Law.
You already have the evidence. Draw the best-fit straight line that passes through origin to the data for the PMI 10.6 mm dynamic rope in Figure 1 of Attaway (2002). The departure from linearity is minor.
Jay
I did a linear fit forced through the origin and a 2nd order polynomial forced through the origin. If you look at the integral of the curves to get the work done by the rope (since that is typically what one is interested in for falls) the linear fit is off by as much as 54% for the first point and then decreases to about 10% for the last. If you extrapolate further then the linear fit gives good results for a while then takes off again. There's no way of knowing how much further the polynomial behavior would continue.
If you're working near the end of the data set over which the linear fit was done you will have good results. As you move away the results will be progressively worse. The validity of the linear model depends on the fit and the region of interest IMO.
May 28, 2009, 2:01 AM
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Re: [hafilax] Two piece anchors are plenty strong! Poll!
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hafilax wrote:
jt512 wrote:
hafilax wrote:
I don't feel like doing a literature search again. Prove to me that ropes obey Hooke's Law.
You already have the evidence. Draw the best-fit straight line that passes through origin to the data for the PMI 10.6 mm dynamic rope in Figure 1 of Attaway (2002). The departure from linearity is minor.
Jay
I did a linear fit forced through the origin and a 2nd order polynomial forced through the origin.
Yeah, I just did that as well, and I have to admit, the linear fit sucks, while the quadratic fit is almost perfect.
Jay
(This post was edited by jt512 on May 28, 2009, 2:16 AM)
May 28, 2009, 2:05 AM
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Re: [hafilax] Two piece anchors are plenty strong! Poll!
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Hooke's Law? All you need do is solve for the modulus in this equation:
T = w + sqrt(w^2 + 2krw)
Then plug in the maximum impact force for you current lead line. Okay, now use Hooke's Law to get the dynamic elongation. What?? It's way too big?
Well... how about drawing a straight line from the origin through the point defined by the impact force and elongation numbers. Now calculate the area under the curve, the strain energy. Funny, it doesn't come close to matching the fall energy.
Either energy is lost due to heat (damping) or else they are not linear. Or both.
The purpose of an anchor depends on the situation. A rescue anchor is to save lives. Ever seen rescue anchors? They're super burly. Nobodies going to take that much time to build rescue anchors at every belay. It'd be a waste of gear, time, and effort. I'd much rather climb.
The purpose of most other climbing anchors is to reduce the likelihood of hitting the ground to an acceptable probability while being reasonable in it's use of available gear and time. I could build anchors that are practically indestructible. The problem is that it would take me so much longer and would be so gear intensive that I would never be able to do more than one climb a day. So the tradeoff for total indestructibility is some risk. Sorry you can't take out all the risk out of the sport without taking out some of what makes the sport enjoyable. At least that's what the waiver I make people sign says. Obviously you are willing to spend more time to decrease your risk. That's fine. In my opinion you are overly cautious, but my level of acceptable risk is apparently higher.
The purpose of an anchor depends on the situation. A rescue anchor is to save lives. Ever seen rescue anchors? They're super burly. Nobodies going to take that much time to build rescue anchors at every belay. It'd be a waste of gear, time, and effort. I'd much rather climb.
The purpose of most other climbing anchors is to reduce the likelihood of hitting the ground to an acceptable probability...
Yeah, 6%. *roll*
That a 6% chance of failure of a routine belay anchor is acceptable is arguably the most outrageous statement I have seen on this website.
Jay
(This post was edited by jt512 on May 28, 2009, 2:44 AM)
You don't climb much on soft rock do ya? Go climb in the Fisher's. You'd be grateful to find something with just a 6% chance of failure. Case in point, last tower I climbed, River Tower. First anchor had three pins and a quarter inch bolt in Cutler sandstone with that fine layer of mud. Two pins were moving, one slightly, the other significantly. All pins were corroded and very old. The bolt was a quarter inch bolt in sandstone and it was obviously not placed perfectly. I'd say most of those pieces were probably above the 50% mark for failure. The four pieces I placed above the anchor weren't much better. Then the fourty foot runout to the two tipped out cams and subsequent sixty foot runout to the anchor made for a no-fall kind of day.
Climbing is a risky sport by nature. The 6% comes from me not accepting pieces as bomber unless they have an individual failure probability of less than 25%. That is my personal feeling about what constitutes bomber. That doesn't mean I'll get to that 6% mark and call it good on a regular basis. It means I'll accept it if for some reason I do not deem it desireable, necessary, or possible to increase that probability. That actually fits in really well with that River Tower experience if you figure the probability of each anchor point failing at 50%. Put's the probability of total anchor failure at 6.25%. Oh God I tried to put in the pink tricam but it just wouldn't stay, I'm a horrible person and could have killed us all.
I would not do that on a regular basis. I also do not have your need for a tremendously high level of safety. I'm not going to place 3 pieces to increase my level of safety some minor percentage like .09%. Safety is relative, do try to keep that in mind.
How many three piece anchors do you come to sport climbing anyways? How do you inspect bolts visually, the vast majority of the material isn't visible for inspection?
That a 6% chance of failure of a routine belay anchor is acceptable is arguably the most outrageous statement I have seen on this website.
So sayeth the sport climber who thinks two bolts, torqued to spec with a torque wrench, is the standard.
Jay, you're a hella strong climber, and you've got experience. Because of those two facts, I'll say this once, and do so knowing that you understand the concept:
"Perfect" anchors that "won't fail" are an idealistic, but not realistic, concept in some trad routes and in most alpine routes. And, thus, sometimes "6% chance of failure" is the best you can ask for.
Or, more simply: "You roll the dice and you take your chances."
That a 6% chance of failure of a routine belay anchor is acceptable is arguably the most outrageous statement I have seen on this website.
So sayeth the sport climber who thinks two bolts, torqued to spec with a torque wrench, is the standard.
So sayeth the sport climber who climbed trad for 10 years before he ever touched a sport route.
In reply to:
"Perfect" anchors that "won't fail" are an idealistic, but not realistic, concept in some trad routes and in most alpine routes. And, thus, sometimes "6% chance of failure" is the best you can ask for.
No one is arguing that. But in all the climbing I have ever done, I have exactly once had to settle for less than a bombproof anchor. That anchor consisted of a single ¼-inch bolt in sandstone with a semi-hanging belay. I cannot think of a single anchor before or since that wasn't, for all practical purposes, 100% reliable.
I realize that this standard cannot be attained in alpine routes or tradding on junk rock. I've not claimed it can.
In all those years you can only think of one anchor that was less than 100%? Either you have access to some really bomber rock or you make your decisions on which routes to climb very carefully. I've been climbing trad half that long and can already think of several. Granted most of them were due to crappy rock but wow only one?
I can't think of any times on good rock where I thought any anchor I or a partner built was l less than essentially 100%, two piece or more. I'll fail to include any one piece anchors in those times.
The purpose of an anchor depends on the situation. A rescue anchor is to save lives. Ever seen rescue anchors? They're super burly. Nobodies going to take that much time to build rescue anchors at every belay. It'd be a waste of gear, time, and effort. I'd much rather climb.
The purpose of most other climbing anchors is to reduce the likelihood of hitting the ground to an acceptable probability...
Yeah, 6%. *roll*
That a 6% chance of failure of a routine belay anchor is acceptable is arguably the most outrageous statement I have seen on this website.
Jay
Assigning made up failure probabilities is ridiculous. 1%, 10%, 25%.... whatever. Its all made up and completely meaningless.
All you have is 'bombproof' and then you make up some logic and fabricate numbers to come up with a probability that suits your notion of bombproof.
The numbers are utterly meaningless. Stick with bombproof.
May 29, 2009, 2:05 AM
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Re: [jmeizis] Two piece anchors are plenty strong! Poll!
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jmeizis wrote:
Why did you quit trad climbing?
I haven't completely quit trad climbing, but I enjoy sport climbing a lot more. The movement is more interesting and less encumbered by gear.
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In all those years you can only think of one anchor that was less than 100%? Either you have access to some really bomber rock or you make your decisions on which routes to climb very carefully.
Mostly a function of good rock: Yosemite, Tahquitz, J Tree, and assorted lesser granite crags.
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I've been climbing trad half that long and can already think of several. Granted most of them were due to crappy rock but wow only one?
Yep. A single quarter-inch bolt in sandstone at a semi-hanging belay. I didn't have a bolt kit, and I didn't know enough to back off.
May 29, 2009, 3:08 AM
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Re: [pendereki] Two piece anchors are plenty strong! Poll!
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It all depends on the stance. I've felt more safe with 1 bomber piece and a great seated spot than I ever have on any 4 piece, equalized, hanging belay that I've constructed.
So I guess to answer the question, at a hanging belay I usually stop building after 3 bomber pieces. If I can only get 2 bomber pieces I still feel ok about it because it's redundant. Less than that and I just do the best I can, maybe yell down to my partner to try not to fall, and keep the belay nice and tight to minimize the force on the anchor. Of course you do have to draw the line somewhere on what can be considered a belay, at which point downclimbing becomes the more attractive option.
If I'm at a sweet ledge I often plug 1 solid piece and start pulling up rope. I belay off my harness and just use that piece as a backup in case I'm pulled forward. But you'd be surprised how much weight you can hold without being moved. The fact that the force is being applied to your harness, which is around your center of gravity, allows you to hold someone much heavier than yourself.
The purpose of an anchor depends on the situation. A rescue anchor is to save lives. Ever seen rescue anchors? They're super burly. Nobodies going to take that much time to build rescue anchors at every belay. It'd be a waste of gear, time, and effort. I'd much rather climb.
The purpose of most other climbing anchors is to reduce the likelihood of hitting the ground to an acceptable probability...
Yeah, 6%. *roll*
That a 6% chance of failure of a routine belay anchor is acceptable is arguably the most outrageous statement I have seen on this website.
Jay
Assigning made up failure probabilities is ridiculous. 1%, 10%, 25%.... whatever. Its all made up and completely meaningless.
All you have is 'bombproof' and then you make up some logic and fabricate numbers to come up with a probability that suits your notion of bombproof.
The numbers are utterly meaningless. Stick with bombproof.
DMT
It seems to me that you have it backwards; that "bombproof" is meaningless without some numbers.
Jay
(This post was edited by jt512 on May 29, 2009, 3:29 AM)
The purpose of the anchor is to save the lives of the climbing party in the event of a fall, not reduce their chance of death to only 6%.
In reply to:
It's why, when I build anchors, I build ones that I think have essentially no chance of failing.
But a million to one? Not in your wildest dreams are you going to construct such a robust anchor on a trad climb in the real world.
Why? You don't think that there are placements that have a probability of failure of 1%?
Jay
I guess I don't really know what a 1% piece is J. What does that even mean?
I'm using it to mean that if you judged a zillion pieces to have a 1% chance of failure, then 1% of them would fail.
In reply to:
In terms of our discussion, correct - I do not think there are typically 3 independant 1% pro opportunities at each belay. I think the failure % is likely to significantly higher for the 'average' belay anchor.
Well, there you go. You do have an opinion about the failure probabilities of anchors. You think that most of them are greater than 1%.
In reply to:
Look I'm not objecting to the notion of building solid anchors, bombproof even. What I am voiceing is my gut feeling that many if not most trad anchors would ultimately fail your bomb proof test.
But the question is, is that because of inherent limitations of anchors, or because people aren't building anchors as well as they ought to be.
In reply to:
And I'm also voicing the caution that in trad the expectation of bomb proof anchors is at least part of the time is a fool's hope.
No one has suggested that that is the case, so I wish people would stop interjecting comments to that effect. That said, I think that the necessity of having a less that bombproof anchor is much rarer than people on this forum suggest. I think, rather, that many climbers, at least on this forum, romanticize the image of risky climbing, and exaggerate the relevance of these bad anchors in their own climbing. I've climbed above a bad anchor exactly once in my climbing career, and I'm willing to bet that that is one time more than 99% of climbers on this site ever have, except possibly due to their own incompetence at anchor building. Yet reading these discussions, instead of concentrating on principles of safe anchor building that apply to the vast majority of anchors encountered by users of this site, the talk always gets steered to the supposedly always crap alpine anchor, the anchor in junk sandstone, etc.
I was trained that the belay anchor must not fail, and I strongly suspect, that, for 99% of anchors, there is no reason that it should.
Jay
(This post was edited by jt512 on May 29, 2009, 3:57 AM)
tricams make great anchors, usually don't want to fiddle with them on lead if it will take a cam, and they are bomber for building anchors. the number 4 in the pic got replaced with a tricam slightly above when my 2nd arrived. guess the climb for bonus points, it's a classic in eldo. link: http://img29.imageshack.us/img29/8560/p1030638.jpg
I'm posting this in the hope that, perhaps, some notes might be helpful in the future.
Your anchor is almost certainly OK.... but it has some seriously worrysome aspects:
1) The blue cam is in a somewhat flaring crack. Yeah, it'll probably hold, but remember that a while back some folks at Metolius found that good looking cams fail something like 1 in 20 times... and this cam doesn't look all that good, owing to the flare.
2) your blue tricam looks terrible. Maybe there's a part of the crack we can't see, but the tricam's being pulled sideways in not a great way. yuck.
3) It's not obvious that your cordalette will maintain its integrity if a single piece pulls (ie. are there appropriate twists in the segments going to and from each piece?). Moreover, this type of connection, even if set up correctly here, is hard to inspect in general. Finally, there's no extension limiting or redundancy with respect to the cordalette - if any part of the cord gets knicked by a rock, well, the entire anchor goes. This was an anchor in eldo....
4) finally, and this is hard to tell without more context, the pieces are all levered against a single large chunk o' stone - i can't tell if that's a wedged boulder and possibly loose, or what. From this image, though, it is conceivable that that piece of rock could shift and wreak havoc with the entire anchor. Or, alternatively, that piece of stone could be completely bonded with the rock around it, totally voiding this part of the critique.
You didn't ask for an anchor critique, but, well, your anchor seemed to need it, anyway. No offense intended - just trying to spread good information...
tricams make great anchors, usually don't want to fiddle with them on lead if it will take a cam, and they are bomber for building anchors. the number 4 in the pic got replaced with a tricam slightly above when my 2nd arrived. guess the climb for bonus points, it's a classic in eldo. link: http://img29.imageshack.us/img29/8560/p1030638.jpg
I'm posting this in the hope that, perhaps, some notes might be helpful in the future.
Your anchor is almost certainly OK.... but it has some seriously worrysome aspects:
1) The blue cam is in a somewhat flaring crack. Yeah, it'll probably hold, but remember that a while back some folks at Metolius found that good looking cams fail something like 1 in 20 times... and this cam doesn't look all that good, owing to the flare.
2) your blue tricam looks terrible. Maybe there's a part of the crack we can't see, but the tricam's being pulled sideways in not a great way. yuck.
3) It's not obvious that your cordalette will maintain its integrity if a single piece pulls (ie. are there appropriate twists in the segments going to and from each piece?). Moreover, this type of connection, even if set up correctly here, is hard to inspect in general. Finally, there's no extension limiting or redundancy with respect to the cordalette - if any part of the cord gets knicked by a rock, well, the entire anchor goes. This was an anchor in eldo....
4) finally, and this is hard to tell without more context, the pieces are all levered against a single large chunk o' stone - i can't tell if that's a wedged boulder and possibly loose, or what. From this image, though, it is conceivable that that piece of rock could shift and wreak havoc with the entire anchor. Or, alternatively, that piece of stone could be completely bonded with the rock around it, totally voiding this part of the critique.
You didn't ask for an anchor critique, but, well, your anchor seemed to need it, anyway. No offense intended - just trying to spread good information...
he said the #4 [the cam] got swapped for another tricam in the crack above. i was gonna say the pink below the pin, the pin and another piece in the smaller crack above the cam would completely suffice---
---and you wouldn't have a rat's nest linking everything [or would you?]
---and are you the one that keeps fixing pinks at eldo?!
Thanks for the advice! I was actually hoping someone would critique my anchor.
1) I realised the blue cam wasn't great with the flare, but threw it in anyways because it's a #4 and fit. I'll make sure to think about flaring cracks more in the future.
2) The only way the blue tricam would fit in that part of the crack was well... jammed in that way.
3) The cordalette does have twists between pieces and I have heard that as long as you only tie into the anchor with your rope it won't get shock loaded if one piece fails? There is also a sling equalized between two pieces (blue and pink tri's) with both of the figure 8's backing up the clove hitches on the main tie in point.
4) If i remember right the top of the boulder was bonded with something else and not going anywhere.
May 29, 2009, 5:00 AM
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Re: [no_email_entered] Two piece anchors are plenty strong! Poll!
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no_email_entered wrote:
he said the #4 [the cam] got swapped for another tricam in the crack above. i was gonna say the pink below the pin, the pin and another piece in the smaller crack above the cam would completely suffice---
---and you wouldn't have a rat's nest linking everything [or would you?]
---and are you the one that keeps fixing pinks at eldo?!
nope, have yet to lose any gear... or see a fixed pink (only climbed there once on a foggy/rainy day). If I did see a fixed pink though I would take a sling or rock to a nut tool and pop it out... I like booty. And the chick working the front gate that day was hot.
Fair enough. God I miss granite. I need to quit climbing on this crap sandstone so I don't have to keep increasing the number of sub-par anchors I climb above.