Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T1=2880 N and T2-432 N. The maximum bending moment is at x= 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). 230 mm 280 mm 30-mm dia. 300 mm 250-mm dia 400-mm dia. 270 NX 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) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using the endurance limit, account only for ka and ka in Eq. 6-18 and assume all remaining DE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the factors as 1. d) 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).
Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T1=2880 N and T2-432 N. The maximum bending moment is at x= 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). 230 mm 280 mm 30-mm dia. 300 mm 250-mm dia 400-mm dia. 270 NX 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) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using the endurance limit, account only for ka and ka in Eq. 6-18 and assume all remaining DE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the factors as 1. d) 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).
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Solve part b,c and d only
Transcribed Image Text:Problem 1
Obtain a preliminary design of the shaft by performing the following tasks. Note
that forces T1=288Ó N and T2-432 N. The maximum bending moment is at x=
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).
230 mm
280 mm
30-mm dia.
300 mm
250-mm dia.
400-mm dia.
270 NX
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) Determine the fatigue factor of safety of the rotating shaft with the current
dimensions using the
endurance limit, account only for ka and kr in Eq. 6-18 and assume all remaining
DE-Gerber criteria. Use Egs. 6-8 and 6-18 to find the
factors as 1.
d) 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).
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