Question

Problem 1 Ans: (a) 16.7kN, (b) 111.3MPa, (c) 185.5MPa, -111.3MPa, (d) 148.4MPa, 259.7MPa,(e) 1.52, 1.73 A split-ring clamp-type shaft collar is shown in the figure. The collar is 50mm O.D. by 25mm I.D. by 12mm wide. The screw is designated as M6.xl. The relation between the screw tightening torque T, the nominal screw diameter d, and the tension force F in the screw is T = 0.2 F; - d. The shaft is sized to obtain a close running fit. The hoop tension force can be defined as F = w r, pi. Next, suppose the collar is tightened by using a screw torque of 20N-m. The collar material is AISI 1035 steel heat-treated to a minimum tensile yield strength of 450MPa. (a) calculate the tension in the screw. (b) relate the tangential stress to the hoop tension; find 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? A

The answer that we are supposed to get has been provided by the instructor at the top of the problem so please make sure your answer matches that as well. Thank you!

Answer 1

it et, the Hoop ing the When to the equal sing the Tensien in Screw tanuon. 1+ -t differential Hoo tinion dF at The is dF Wrdr ring o width w for the Ingraion ON wod 1+ %- w 1P 91-10 2- Scvew eauatien The From egns & .1 dERde T 02diwti fwnde Tw de 0.2d

Given TEPO N-m Sy450Mfa 16-7x10 N16-7kN 20 T 024 (b F WtPi 6-X1D = !13x10 /a 12X 10 l.3 MPa t 1-3 (0.0/25+0.02s 0.025-0.0125 llss MPa -111.3MPA (4) 18s-5-(-11-3) Tmar 148.4 MPa AB - (125s-(i9t-1)+ L--9) 259.7MPa le) tcording to Mar sheay hes Thar /.52 Tmax

Accordiny to Distoin eny thay 450 259-7 - /73 4