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Distinctive mechanical behavior of bolted joints is caused by the helical shape of thread geometry. Mathematical expression of the helical thread geometry of a single-thread screw has successfully been derived in the previous study. Using the derived equations, finite element models were constructed by taking account of the e ffect of the helix, and it is clarified how the stress distributes along the thread root and where the maximum stress occurs. Meanwhile, there are various thread forms other than a single-thread triangular screw. In this study, mathematical expressions of the helical thread geometry and the cross sectional area of multiple-thread screws, trapezoidal thread and pipe thread are derived in the same manner as in the case of a single-thread screw. Using the equations thus obtained, finite element models with multiple-thread screws are constructed, and its tightening process by torque method is analyzed. Numerical results show that the stress distribution patterns are basically identical along all helixes for each multiple-thread screw. It is also found that the maximum Mises stress occurs at the first bolt thread root and it increases as the lead of multiple-thread screw increases.

nihon kikai gakkai ronbunshū. c

Analytical Expression of Cross Sectional Geometry of Various Screw Threads and Finite Element Analysis of the Mechanical Behavior of Multiple-Thread Screws