Problem 1: Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T=2880 N and T;=432 N. The maximum bending moment is atx= 230 mm (point B), and it equals M=...


Problem 1:<br>Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T=2880<br>N and T;=432 N. The maximum bending moment is atx= 230 mm (point B), and it equals M= 698.3<br>N•m completely reversed, where the torque is constant at 612 N.m at the same point.<br>The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder<br>fillet-sharp, with notch radius r=0.6 mm (Table 7-1).<br>y<br>230 mm<br>T,<br>280 mm<br>30-mm dia.<br>T<br>C<br>300 mm<br>250-mm dia.<br>400-mm dia.<br>270 N<br>1800 N<br>a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then<br>calculate all reactions.<br>b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical<br>speed of the shaft.<br>c) Discard the indicated shaft diameter and use DE-Goodman criteria to determine the critical<br>diameter of the shaft based on infinite fatigue life with a design factor n of 1.5. (Take the same<br>value of endurance limit as that used in part c of this problem).<br>

Extracted text: Problem 1: Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T=2880 N and T;=432 N. The maximum bending moment is atx= 230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1). y 230 mm T, 280 mm 30-mm dia. T C 300 mm 250-mm dia. 400-mm dia. 270 N 1800 N a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then calculate all reactions. b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical speed of the shaft. c) Discard the indicated shaft diameter and use DE-Goodman criteria to determine the critical diameter of the shaft based on infinite fatigue life with a design factor n of 1.5. (Take the same value of endurance limit as that used in part c of this problem).

Jun 11, 2022
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