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No, it is not statistically indeterminate.

Well, sometimes it is, sometimes it isn't. It depends on how you frame the problem. Consider a cube hanging from three cables to the ceiling. If one cable is over the center of gravity and two cables are at opposite corners, the load in each cable is indeterminate. But imagine the cables connected to three corners. If the cube is hanging level it is clear that two opposite corner cables each carry half the weight, and the third carriers zero. The problem is determinate. If we crank up on the third cable and the cube is not level, the problem becomes slightly more complicated. But by taking moments about each anchor point and considering the tilt of the cube, the load in each cable can be found. The problem is determinate.

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Q: Is a load supported on three members statistically indeterminate?
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