Several different things going on here. The beauty of the tensa, is there are no bending forces. All tension (compression). Also nothing is magical about 30 degrees. There are Two different loading areas you are looking at. Hammock suspension loading into the Apex and stand loading to handle that hammock load. the minimal suspension load is a 90 degree hang. i.e. straight over head. then suspension load is 1/2 hammock load. as you spread the the suspension points apart the suspension load increases sinusoidal. (i.e. fancy word for increases slowly at first then very quickly.
(suspension load = 1/2 hammock load / sine (angle))
at 90 degrees: sin(90)=1 thus suspension load for 200 lbs = 1/2 * 200 / 1 = 100 lbs.
at 30 degrees: Sin (30)= .5 thus suspension load for 200 lab hammock load = 1/2 * 200/ .5 = 200.
As suspension gets flatter then suspension load increases extremely rapidly.
At 10 deg. angle suspension load ~= 3X hammock load. 1/2 *200 / .173 = 575 lbs
The second half is reacting that load out. No matter what the suspension angle is, the vertical component is 1/2 hammock load (or 100 lbs in our case) always. Again the smallest pole load would be a vertical pole. Then the pole compression load would = 1/2 hammock load regardless of the suspension angle. The guy line load would react out the horizontal load. (assumed horz. guy line) This is why Turtle dog stands have a pyramid style support. (among other design features that help react the side loads.) The load in the pole thus increases with angularity off vertical. The Tensa magic is that when the poles meet in the middle they self react out the side loads and as a system only needs to react out the vertical hammock load to the ground. however the system is unstable and will fall over. (thus the two end tension lines). The load in the poles continues to increase as the angle decreases. The load in the poles also increases as the splay angle increases.
edited as I though about this a little more. The side load reaction does cause compression in the poles. This compression load in the poles is minimized by aligning the poles with the suspension angle so they provide equal and opposite lines of force. This is independent of the suspension angle. i.e. 25, 30, or 35 degrees the loads will change but the pole loads will be minimal for that case if they match the suspension angle. The off set of the suspension and the pole angle will increase the pole compression load. Bigger offset bigger load.
Then the design issue comes down to how high off the ground do you want you hammock to hang and getting.
Hope that helps. Fun discussion
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