A method of assembling a Coriolis flowmeter having a flow tube, a connecting ring means, and a tubular balance bar, said method comprising the steps of:
- extending said flow tube through a center opening in said tubular balance bar;
- positioning said flow tube so that said flow tube extends through a center opening of said connecting ring means and is coaxial with said balance bar;
- positioning said connecting ring means so that axial end portions of said balance bar are coaxial with and surround at least a portion of said connecting ring means;
- coupling an radial inner circumferential surface of said connecting ring means to said flow tube;
- a radial outer circumferential surface of said connecting ring means is tapered in a first direction with a decreasing radius with respect to the axial center of said flow tube;
- radial inner circumferential surfaces of said axial end portions of said balance bar have a taper that matches said taper of said connecting ring means;
- and
- said balance bar has a greater thermal coefficient of expansion than does said flow tube;
- brazing said tapered inner circumferential surface of said end portions of balance bar to said tapered outer circumferential surface of said connecting ring means, said connecting ring means being axially moved within said balance bar during said brazing beyond the axial location within said balance bar prior to brazing.