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If I have a jack stand that is essentially a tri-pod, with all legs at the base equidistant from the center tube, and a 36,000 pound load on the jack. What is the compression in each leg given these dimensions?

My attempt:

Each reaction in the vertical direction is 1/3 the load, and there would also be a horizontal reaction acting radially inward at each leg. Analyzing one leg, you can find this reaction with summation of moments about point A, and then find the resultant vector (compressive force) by the square of the sum of the squares of the reactions ( sorry it got cut off, but you get the idea). Did I miss anything?

My attempt:

Each reaction in the vertical direction is 1/3 the load, and there would also be a horizontal reaction acting radially inward at each leg. Analyzing one leg, you can find this reaction with summation of moments about point A, and then find the resultant vector (compressive force) by the square of the sum of the squares of the reactions ( sorry it got cut off, but you get the idea). Did I miss anything?