The shaft shown in the figure is machined from AISI 1030 CD steel. The shaft rotates at a constant RPM and is supported by roller bearings at A and B. The profile keyway at F has static stress concentration factor of Ktb = 2.312 for bending. The applied forces at gears C, D and F are in the same plane as the bearing reactions and remain constant. a) b) Clearly draw and label shear and bending diagrams for the shaft. Determine the factor of safety against bending fatigue only at location F (centerline of Gear F) assuming 50% reliability and state in words if the shaft will have infinite life based on this location. & GEAR C & GEAR F & GEAR D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The shaft shown in the figure is machined from AISI 1030 CD steel. The shaft rotates at a constant RPM
and is supported by roller bearings at A and B. The profile keyway at F has static stress concentration
factor of Ktb = 2.312 for bending. The applied forces at gears C, D and F are in the same plane as the
bearing reactions and remain constant.
a)
b)
Clearly draw and label shear and bending diagrams for the shaft.
Determine the factor of safety against bending fatigue only at location F (centerline of Gear F)
assuming 50% reliability and state in words if the shaft will have infinite life based on this
location.
T
1.500 1.25 Ø-
BEARING
1.160
A E
4.5
0.375
& GEAR C
500 lbf
C
-1.75 Ø
3.0
& GEAR F
300 lbf
FV
-0.75
2.5
BEARING
-0.50
0.0312 R-
B
2.5
3/8 x 3/8 PROFILE
KEYWAY
-0.375
GEAR D
1.5625
KEYWAY DETAIL AT "F"
450 lbf
D
1/4 x 1/4 PROFILE
KEYWAY
-1.25 Ø
Transcribed Image Text:The shaft shown in the figure is machined from AISI 1030 CD steel. The shaft rotates at a constant RPM and is supported by roller bearings at A and B. The profile keyway at F has static stress concentration factor of Ktb = 2.312 for bending. The applied forces at gears C, D and F are in the same plane as the bearing reactions and remain constant. a) b) Clearly draw and label shear and bending diagrams for the shaft. Determine the factor of safety against bending fatigue only at location F (centerline of Gear F) assuming 50% reliability and state in words if the shaft will have infinite life based on this location. T 1.500 1.25 Ø- BEARING 1.160 A E 4.5 0.375 & GEAR C 500 lbf C -1.75 Ø 3.0 & GEAR F 300 lbf FV -0.75 2.5 BEARING -0.50 0.0312 R- B 2.5 3/8 x 3/8 PROFILE KEYWAY -0.375 GEAR D 1.5625 KEYWAY DETAIL AT "F" 450 lbf D 1/4 x 1/4 PROFILE KEYWAY -1.25 Ø
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