Abstract
For tightening bolted joints, the calibrated wrench method is widely used in practice. In this method the axial tension of a bolt is controlled by measuring the wrench torque. Also widely know the high initial axial tension assure the tightening reliability. However the method is not so accurate since the measurement of axial tension is indirect. In this paper, the statistical distribution of the magnitude of the combined stress(the von Mises Equivarent Stress) by shear strain energy criterion in bolts, which are tightened by the calibrated wrench method was formulated. And also we discussed the safety factor for capability stress limit and/or fatigue limit vs. additional stress by working load. As an example, the distribution of combined stress was shown for a metric screw. Finally this research established the analysis and calculating routine for the optimum tightening torque on bolted joints using the ellipse of confidence limit.
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