Abstract

Utilizing an othogonal curviliniar co-ordinate α, β obtained from a relation [numerical formula], the following problems of torsion are studied : (1) The torsion of a round bar with a number of semi-circular notches is calculated and numerical calculations in the case 4-notches for variable radius of curvature have been carried out. (2) The torsion of a bar with a section of a circular sector and a round bar with a sharp notch reaching the center (i, e, the case of a crack) have been calculated and then compared with the former results. (3) The torsion of a bar with an angle section has been calculated. The corner-stress of the angle degreases for the larger opening even for the same radius of curvature of the corner and the same thickness of the angle. The calculation formulas for the torque and the corner-stress for the angles sold on the markets are developed and the results obtained from them are compared with the values obtained from the formulas developed by Trefftz, Timoshenko and Huth.

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