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
icon
Related questions
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]
Transcribed Image Text: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]
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Automation of Manufacturing Processes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY