A 500 mm long rotating shaft has a groove in the middle and carries a 2 kN transverse force at section C as shown. The shaft is made of a high carbon steel with a yield strength of 965 MPa and an ultimate tensile strength of 965 MPa (140 ksi). The bearings at the shaft ends that can be modeled as simple supports. The shaft has a machined surface finish. Determine the: (a) Fully corrected endurance limit for this shaft. (b) Fatigue strength for this shaft at a life of 250,000 rotations. (c) Fatigue stress concentration factor for the groove at section B. (d) Infinite life fatigue factor of safety at section B. (e) Infinite life fatigue factor of safety at section C. (f) Finite life fatigue factor of safety at section B for a life of 250,000 rotations. (g) Finite life fatigue factor of safety at section C for a life of 250,000 rotations. Assume a reliability of 50% and no temperature effects. 40 points 2.0 kN | r= 2.5 mm. 25 mm 27.5 mm 250 mm 180 mm C A D 70 mm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 500 mm long rotating shaft has a groove in the middle and carries a 2 kN transverse force at section C
as shown. The shaft is made of a high carbon steel with a yield strength of 965 MPa and an ultimate
tensile strength of 965 MPa (140 ksi). The bearings at the shaft ends that can be modeled as simple
supports. The shaft has a machined surface finish. Determine the:
(a) Fully corrected endurance limit for this shaft.
(b) Fatigue strength for this shaft at a life of 250,000 rotations.
(c) Fatigue stress concentration factor for the groove at section B.
(d) Infinite life fatigue factor of safety at section B.
(e) Infinite life fatigue factor of safety at section C.
(f) Finite life fatigue factor of safety at section B for a life of 250,000 rotations.
(g) Finite life fatigue factor of safety at section C for a life of 250,000 rotations.
Assume a reliability of 50% and no temperature effects. 40 points
2.0 kN
r= 2.5 mm.
25 mm 27.5 mm
250 mm
180 mm
A
В
C
70 mm
Answers
(а) Sn (MPa)
(b) SEN-250k (MPa)
(c) KB
(d) nB,0
(e) nºC,∞
(f) nB,N=250k
(g) nºc, N=250k
Transcribed Image Text:A 500 mm long rotating shaft has a groove in the middle and carries a 2 kN transverse force at section C as shown. The shaft is made of a high carbon steel with a yield strength of 965 MPa and an ultimate tensile strength of 965 MPa (140 ksi). The bearings at the shaft ends that can be modeled as simple supports. The shaft has a machined surface finish. Determine the: (a) Fully corrected endurance limit for this shaft. (b) Fatigue strength for this shaft at a life of 250,000 rotations. (c) Fatigue stress concentration factor for the groove at section B. (d) Infinite life fatigue factor of safety at section B. (e) Infinite life fatigue factor of safety at section C. (f) Finite life fatigue factor of safety at section B for a life of 250,000 rotations. (g) Finite life fatigue factor of safety at section C for a life of 250,000 rotations. Assume a reliability of 50% and no temperature effects. 40 points 2.0 kN r= 2.5 mm. 25 mm 27.5 mm 250 mm 180 mm A В C 70 mm Answers (а) Sn (MPa) (b) SEN-250k (MPa) (c) KB (d) nB,0 (e) nºC,∞ (f) nB,N=250k (g) nºc, N=250k
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