An accelerometer includes a cantilever mass with a thin beam element between the mass and the fixed end of the accelerometer. The end of the mass is tapered. A limiting member has an aperture that is tapered corresponding to the taper at the end of the mass and positioned to surround the tapered end of the seismic mass. The beam accelerometer as well as the limiting member is placed in a cylindrical housing whereby the limiting member is moved along the taper of the seismic mass to adjust the spacing between the limiting member and the inner wall of the housing to thereby adjust the amount of movement of the seismic mass. In one embodiment the aperture of the tapered limited member also surrounds the seismic mass but the gap between the inner wall of the tapered limiting member and the outer wall of the seismic mass is adjusted to determine the amount of movement of the beam. In this manner, one can utilize a beam accelerometer arrangement of a cylindrical configuration within a housing and whereby the seismic mass has a taper and the taper coacts with a limiting member which has a corresponding taper to adjust the distance that the beam can move upon application of a force thereto.