An additional stress, called edge stress, may be generated at the joint area between the conical bowl and the flange of a centrifuge. The equivalent stress at the joint was quantitatively analyzed from dimensionless theory in terms of the finite element analysis method (FEM). Three dimensionless parameters were defined for the joint between a flange and a conical bowl. One was the edge stress coefficient β1, the second was the edge peak stress coefficient β2 and the last was the thickness coefficient α. The effects of α value, bolt pre-tightening force, fillet radius, slurry density, the depth of liquid pool, rotation speed and semi-cone angle on β1 and β2 were investigated. The results showed that β2 reduced when α, fillet radius or semi-cone angle increased and increased when bolt pre-tightening force, slurry density or the depth of liquid pool increased. The influence of rotation speed on β2 was not obvious. When α or semi-cone angle reduced and slurry density or the depth of liquid pool increased, β1 value increased. The influence of fillet radius, rotation speed or bolt pre-tightening force to β1 is not apparent. Finally,the data for calculating the equivalent stresses at the joint area between the conical bowl and the flange of a given centrifuge bowl were presented and an example was used to illustrate the calculation method,which would provide valuable information for designing the centrifuge bowl in engineering practice.