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

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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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Problem 3.55 not 3.54, problem 3.55
I need help with this problem. (The answer should be 23kN)
Parvinbhai