How to select hydraulic cylinder against force?
You need to select a suitable cylinder where the ram (piston rod) will not fail due to compression, tension and most importantly bending. Bending will require the least force so you need to calculate the bending moment for the ram and verify if the selected ram diameter would be upto the job. Calculate the bending moment based on the maximum pressure, the cylinder inner diameter and the ram diameter. If your cylinder moves too fast you may have to consider impact strength also. Speed of the cylinder may also be important in cases and that may limit the size of the cylinder as pump discharge may be fixed. So you need to select a cylinder which will be small enough to perform quickly and large enough to take the load.