Some Notes on the Internal Stresses in Cylinders (1st Report) : With the Checking of Sachs' Formula

Abstract

As the cylinder of a given length, worked and treated with heat, is liable to conples deformation by the residual stress due to boring, the author studied the residual stress as a two dimensional problem. As Sachs' formulas, which are commonly used, hold good only when d_p is infinitely small, the author tried to deduce the formulas representing the mean of each of the three internal stresses when Δ_p is finite. These formulas will give the stresses of the central part and may also be applied to solid cylinders. The correction formulas, obtained by comparing Sachs' with the author's, show the difference between d_p and Δ_p, and also indicate that the values of the internal stresses near the central part, calculated by Sachs'formulas, need some corrections.