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 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).
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 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).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03a74730-ba3a-4451-9d3a-e3b7b12940a5%2Fd9c64091-1224-4492-8e12-768ea0bcb541%2Fjspeov_processed.png&w=3840&q=75)
Transcribed Image 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).
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