Suppose the collar is tightened by using a screw torque of $20 \mathrm{N} \cdot \mathrm{m}$. The collar material is AISI 1035 steel heat-treated to a minimum tensile yield strength of 450 MPa. a) Estimate the tension in the screw. b) By relating the tangential stress to the hoop tension, find the internal pressure of the shaft on the ring. c) Find the tangential and radial stresses in the ring at the inner surface. d) Determine the maximum shear stress and the von Mises stress. e) What are the factors of safety based on the maximum-shear-stress and the distortion-energy theories?

Solution

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The properties of the material are given in the problem statement, and are:

$S_y=450 \; \text{MPa}$

We also have the torque value given as:

$T=20 \; \text{N} \cdot \text{m}$