when a shaft is sagging, i.e. has runout above tolerance it is correct by pressing the shaft with a hydraulic press machine that presses the shaft while it is mounted on two block (two positions). i would like to first to have a formula that governs this run-out correction method that takes into consideration the dimensions of the shaft, its length, mechanical properties of the material and the run-out distribution across the shaft and where should we press to correct said bending. then this formula can be put into a software program later in order for it to be user friendly.
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Greetings, I'm a mechanical engineer holding a master degree in mechanical engineering and i have years of experience in academic. i can work on your project and develop the formula.