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I am building a ground pushing and pulling probe similar to the pic attached.  A probe rod is hydraulically clamped and held in place using a split clamp jaws that have a pyramid grip pattern made from hardened tool steel 58HRC similar to the pics.  That paticular machine (in the picture) can hold upto 200kN of push/pull force.  My question is how do I calculate the size and force of the hydraulic cylinder to hold a similar load 200kN?  The jaws will be approx. 150mm high and match the dia. of the probe pipe which is 36mm 30-40HRC.  The pyramid serrations will be as per the pic 1.2 x45deg.

Thanks for looking and any suggestion are much appreciated and welcome.

Thank you kindy.

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