Achieving uniform bolt preload is difficult when tightening a pipe flange w
ith a number of bolts. Several bolt-tightening strategies have been propose
d so far for achieving uniform bolt preloads. It seems, however, that effec
tive guidelines for tightening pipe flange connections have not been establ
ished. In this study a numerical approach is presented for estimating the s
catter in bolt preloads and achieving the uniform bolt preloads when tighte
ning each bolt one by one in an arbitrary order. Numerical analyses are con
ducted using three-dimensional FEM as an elastic contact problem. The analy
tical objects are pipe flanges specified in JIS B 2238 with an aluminum gas
ket inserted. Ae validity of the numerical procedures proposed here is asce
rtained by experiment.