Axial hydraulic thrust measurements in centrifugal pumps with rolling element bearing motors have been made with axial load cells and sometimes strain gaged beam structures installed in direct contact with the rolling element bearings. This requires special modifications to motor end caps to insert the instumentation. Where access to the motor shaft non-drive end is available and the shaft end has axial internal threading (say for crane lifting of a heavy rotor)it is possible to install a thrust-measuring domelike structure with an axial bar for straingage mounting or with a piston device in a pressurized fluid cylinder that can measure axial thrust load by controlling fluid pressure to one side of the piston with a known pressure-loading area on the piston face. Possibly, load cells and/or strain gages could be mounted at or near the pump to motor coupling which is also accessible.
To answer electricpete's question, there are generally two main components of centrifugal pump axial hydraulic thrust loading, ie.,unbalanced pressure across unbalanced front and back face (shouds and hubs) and the fluid turning reaction force in the impeller channel. Equations are:
T=0.433*A*H + 0.00139*Q^2*sin theta/Ae where
T=Thrust(lbs), H=Head(ft.), Q=Flow (GPM), A=Unbalanced area(in.^2), Ae=Impeller eye area(in.^2) , theta =impeller channel turning angle (degrees). Calculation of impeller unbalaced pressure area becomes increasingly complicated as specific speed of the pump increases because of the curvature of the front shroud in shrouded impellers. Since the dominant factor in axial thrust is pump head the shape of the thrust curve versus flowrate, when normalized should be about the same as the pump head-flow curve. However flow instabilities in impeller channels often affect thrust more than head so dips in thrust curves often reveal unstable flow ranges not evident in the head curve.