Elastic Distortion of Piston-Cylinder Systems of Pressure Balances

The radial and axial distortions of a piston and a cylinder are calculated from exact solutions of the elastic differential equations in the case of a pressure distribution p(z) = α + βz + γz2 in the clearance between the piston and cylinder. The outer curved surface of the cylinder is assumed to be exposed to a constant pressure pj. The end faces of the piston are subjected to the gauge pressure po and to the gravitational force exerted by the load that creates the pressure po. A pressure pce is assumed to act on the end faces of the cylinder. From the results, the distortion coefficient of the pistoncylinder system is calculated using the formula given by Dadson, Greig and Horner.