The figure presented below shows a grooved rotating shaft with a ground surface finish that is subjected to a constant bending moment of M = 150 [Nm] and an axial load of P = 10 [kN]. In addition, there is a torsional load that fluctuates between -50 < T < 130 [Nm]. It can be assumed that the torsional loading is in phase and acting at the same frequency as the rotation of the shaft. The radius of the fillet is r = 3 [mm] and a reliability of 90% is desired. The shaft is made from steel having Sut = 935 [MPa] and Sy = 880 [MPa]. Find the safety factor for both the infinite fatigue life (n.) and for 3 × 105 cycles (n3×105).

The figure presented below shows a grooved rotating shaft with a ground surface finish that is subjected to a constant bending moment of M = 150 [Nm] and an axial load of P = 10 [kN]. In addition, there is a torsional load that fluctuates between -50 < T < 130 [Nm]. It can be assumed that the torsional loading is in phase and acting at the same frequency as the rotation of the shaft. The radius of the fillet is r = 3 [mm] and a reliability of 90% is desired. The shaft is made from steel having Sut = 935 [MPa] and Sy = 880 [MPa]. Find the safety factor for both the infinite fatigue life (n.) and for 3 × 105 cycles (n3×105).

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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Question

The figure presented below shows a grooved rotating shaft with a ground surface finish that is
subjected to a constant bending moment of M = 150 [Nm] and an axial load of P = 10 [kN]. In
addition, there is a torsional load that fluctuates between −50 < T < 130 [Nm]. It can be assumed
that the torsional loading is in phase and acting at the same frequency as the rotation of the shaft.
The radius of the fillet is r = 3 [mm] and a reliability of 90% is desired. The shaft is made from
steel having Sut 935 [MPa] and Sy = 880 [MPa]. Find the safety factor for both the infinite
fatigue life (n.) and for 3 × 105 cycles (n3×105).
=
M = 150 [Nm]
to
r = 3 [mm]
D = 36 [mm]
-50 < T < 130 [Nm]
d = 30 [mm]
P = 10 [kN]

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