ben123324 wrote:
hey,
after seeing somebody at the crag trying to set a top rope anchor with two points at a 120-160 degree angle from each other, i decided it was about time to show those of us exactly why not to do that. this also explains why slack-lines have such huge constant forces on the points and even bigger ones while you jump.
to put it simply, when you have a rope in a straight line hanging between two points, any forces exerted perpendicularly to that rope on the rope will be magnified in the horizontal direction. you pull the center of a 10m long rope with 1 Newton of force, and the force exerted in the tension on both anchor points will be massively larger than 1N.
i've gone ahead and derived a simple equation that can be applied by any rock climber or slack liner:
(perpendicular force)/(2*tan(theta))
so if you're on a slack line 10 meters long, and the point where you stand sags .1 meter, then the angle of the rope below the horizontal is ~1.15 degrees.
say that i weigh 60kg(63.5 irl) and gravitational acceleration is rounded to 10m/s^2.
now if i stand at the center of the line, i put 600N of force perpendicularity to the webbing.
600N/(2*tan(1.15)) = 14944N
that's 15kN!!! and that's just me standing on a decently tension-ed line! now what if i jump and put a peak of 1200N on the line. assuming the line doesn't stretch to more than 1.15 degrees again, my tension is now 30kN, which passes the ratings on most standard gear. true that the line will obviously stretch more, but that's a huge force on your gear...
it goes to show that when slack-lining, don't use your good biners and then go climbing on them. don't be setting tr anchors 100 degrees from each other. think! its easy enough to guestimate the force you exert on your gear just by knowing simple trig and physics. so next time you go climbing/lining, your mass *10 over 2tan(theta) just may save your life!
-ben
You're about five years late.