Angle gage for torsion testing

Abstract

Processing of metals by pressure suggests using of various measuring devices. We developed and manufactured a device for measuring angular deformations upon elastic and plastic torsion of circular specimens. The design is based on the operation principle of the planetary mechanism without a movable solar central wheel. Design of the device is based on the Boyarshinov concept added with a round protractor with a graduated scale from 0 to 360° and rotating needle placed on the axis to indicate the angular displacement. The use of the planetary gear significantly improves the accuracy of measuring the angles of rotation of the cross sections of the sample relative to each other at a distance of the calculated length. To low the weight of the device, the main parts were made of aluminum alloy D16Т. Rated diameters of the central wheel and satellite are D₁ = 220 mm, D₃ = 20 mm, respectively; the linkage module m = 1 mm; the number of teeth on the wheel and satellite is 220 and 20, respectively. Laboratory tests of the device were carried out on a KM-50 torsional machine using a cylindrical sample with a diameter of 15 mm and a working length of 120 mm made of steel 40Kh. The results provided determination of the elastic shear modulus with a deviation of ~2.5% of the reference value. Experimental data were used to plot the torsion diagram and then to get shear diagram τ = τ(γ) according to P. Ludwik’s formula. This diagram was transformed into the hardening curve σ = σ(e) using von Mises theory of the plasticity. The obtained mechanical characteristics allowed us to draw a conclusion on the essential accuracy of measuring angular displacements using the developed device. Thus, the developed and easy to use device can be recommended as testing equipment for determination of the mechanical characteristics of materials under conditions of shear deformations.