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  What is Slacklining?   Analysis of a Static Slackline  
  Slacklining Photos   Introduction  
  Basic Slackline Systems   Relevant Parameters  
  Technical Analysis of Slacklines   Questions  
  Disclaimer   Assumptions  
      Analysis & Results  
      Conclusions  
      Further Questions  
Analysis of a Static Slackline
 
You may skip the math and go straight to the graphical results or the conclusion if you wish.
 
 
Analysis & Results (1 2)
 
  Each anchor must hold half of the person's weight, in a vertical direction. Thus, we are finding the amount of force along the slackline that will result in a vertical force at the anchor equivalent to half the person's weight.

  1. By the Pythagorean theorem, the distance from the person's feet to the anchor is


  2. Looking at the smaller triangle:


  3. Looking at the larger triangle, we have:


  4. Substituting equation 3 into equation 2:


  5. This leaves us with:
 
 

Check
 
  We can check this in several ways:
  1. As the sag drops to zero, the force required to hold the person up should approach infinity. It does.
  2. As the sag increases, the force at the anchor should approach W/2. It does.
  3. As the length of the line increases for a given amount of sag, the force should increase as well. It does.
  4. As the length of the line approaches zero, the force at the anchors should approach W/2. It does.
 

Graphical Results