Abstract: A cover and erection method for a tank, sedimentation device or building cover constructed over or within a generally continuous upstanding circular side wall (30), made up of a series of concentric spaced thrust rings (11, 12, 21) having multiple short curved radial beams (14, 19) bridging the annuli between the rings and cover plates (17, 21) extending across the spaces between adjacent ones of the beams between each of the spaced rings. Erection may be from the wall inwardly or from the center to the wall. In either event an intermediate thrust ring is temporarily supported at an elevation above and within the side wall and the beams set across the rings in relatively short radial spans prior to welding of beams and plates to the respective rings. By this technique, small lightweight beams can be utilized for building large-diameter covers or domes with each rise span being of relatively small length.