A high-torque threaded connection is provided with male and female thread forms consisting of wedge threads with high
shear strength and high
torsional strength. The
radius of curvature r1 of the base of the load flank of the first thread 111, located at the end of the male thread form 11 associated with the tip, is not less than the thread height Th×0.14, and more preferably not less than Th×0.16, to improve the
shear strength of the first thread 111.In addition, the thread
pitch can be reduced to increase the number of threads to increase the contact area for load flanks, or only the
radius of curvature of the base of the load flank of the first thread located at the end of the male thread form associated with the tip can be increased, and a smaller curvature
diameter can be provided for the other portions in order to increase the contact area for the load flanks, thus maintaining
high resistance to torsional stress.