Which is harder to pull apart, a circle or a triangle?

[AmateurHour]

In deciding which shape of ring I should use to secure an anchor to an anchor trolley I came across two choices, a circular ring or a triangular ring. While either will surely work, I began to wonder which would be more difficult to pull apart. Most of the information I found is about forces being exerted on the shapes from the outside going in like in the case of a load bearing structure. What I am wondering about is the opposite, how much force it would take to pull each shape apart.

 

[anorlunda]

The shape of one link from a chain would be better.

 

[AmateurHour]

The shape of one link from a chain would be better.

The ring will be attached at three points so that is why I was wondering which shape would be stronger, a circle or a triangle.

 

[JBA]

There is more to be considered than just strength in selecting between the two shapes. Please provide more information about your application and the angles between the three connection points.

 

[Baluncore]

The solution will probably be a triangle.

The tension forces in the three lines will determine the shape and the position of the ring or node. You must draw up the triangle of forces. If the three forces are equal, then the triangle will be equilateral and the three force vectors will be at 120° to each other.

How will the tension lines be attached to the ring?
Will the inside corners of the ring have the same radius as the pin in the shackle used to connect the line?