The rotating shaft below is made of AISI 1006 CD steel and is simply supported at bearings A and B.Shown in the figure is the steady force F = 1,600N making an angle of 20° with the z-direction. Alsoacting on the gear and the shaft is a steady axial force of P = 1,500 N. At the critical section of theshaft at B, take the fatigue stress concentration factors for bending, axial and torsion as (K)bend=1.6,(Ki)ax=2.5 and K=1.3. Assume a reliability of 95 %. All dimensions in the figure are in mm.ахa) Find the endurance limit for the shaft (Se).b) Determine alternating and midrange stress components at the critical section B.c) How much are equivalent (von Mises) alternating and midrange stresses (oa' and ơm) at B.d) For an infinite life, find the fatigue factor of safety (nà using the Gerber method.e) Calculate the (first-cycle) yield factor of safety (ny).f) Find the life of the shaft (number of cycles, N).200FShaft Diameter = d = 206020°BGear Diameter = D= 60X

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The rotating shaft below is made of AISI 1006 CD steel and is simply supported at bearings A and B. Shown in the figure is the steady force F = 1,600 N making an angle of 20° with the z-direction. Also ucting on the gear and the shaft is a steady axial force of P = 1,500 N. At the critical section of the haft at B, take the fatigue stress concentration factors for bending, axial and torsion as (KỳbendF1.6, Kðax=2.5 and Ks=1.3. Assume a reliability of 95 %. All dimensions in the figure are in mm. a) Find the endurance limit for the shaft (Se). b) Determine alternating and midrange stress components at the critical section B. c) How much are equivalent (von Mises) alternating and midrange stresses (oa' and ơm') at B.

The rotating shaft below is made of AISI 1006 CD steel and is simply supported at bearings A and B. Shown in the figure is the steady force F = 1,600 N making an angle of 20° with the z-direction. Also ucting on the gear and the shaft is a steady axial force of P = 1,500 N. At the critical section of the haft at B, take the fatigue stress concentration factors for bending, axial and torsion as (KỳbendF1.6, Kðax=2.5 and Ks=1.3. Assume a reliability of 95 %. All dimensions in the figure are in mm. a) Find the endurance limit for the shaft (Se). b) Determine alternating and midrange stress components at the critical section B. c) How much are equivalent (von Mises) alternating and midrange stresses (oa' and ơm') at B.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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

The rotating shaft below is made of AISI 1006 CD steel and is simply supported at bearings A and B.
Shown in the figure is the steady force F = 1,600N making an angle of 20° with the z-direction. Also
acting on the gear and the shaft is a steady axial force of P = 1,500 N. At the critical section of the
shaft at B, take the fatigue stress concentration factors for bending, axial and torsion as (K)bend=1.6,
(Ki)ax=2.5 and K=1.3. Assume a reliability of 95 %. All dimensions in the figure are in mm.
ах
a) Find the endurance limit for the shaft (Se).
b) Determine alternating and midrange stress components at the critical section B.
c) How much are equivalent (von Mises) alternating and midrange stresses (oa' and ơm) at B.
d) For an infinite life, find the fatigue factor of safety (nà using the Gerber method.
e) Calculate the (first-cycle) yield factor of safety (ny).
f) Find the life of the shaft (number of cycles, N).
200
F
Shaft Diameter = d = 20
60
20°
B
Gear Diameter = D= 60
X

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