Acta Scientific Medical Sciences (ASMS)(ISSN: 2582-0931)

Research Article Volume 7 Issue 1

Probabilistic Shaft Design Using Corrective Factors Methodology Versus Binary Synthesis Methodology

Manuel Baro-Tijerina*

Docent at the Industrial and Technology Department, Tecnológico Nacional de México Campus Nuevo Casas Grandes, Cd. Nuevo Casas Grandes, Chih., México

*Corresponding Author: Manuel Baro-Tijerina, Docent at the Industrial and Technology Department, Tecnológico Nacional de México Campus Nuevo Casas Grandes, Cd. Nuevo Casas Grandes, Chih., México.

Received: November 24, 2022; Published: December 28, 2022


This article compares the traditional static and dynamic (fatigue) methodologies for the mechanical design of a shaft used in the speed reducer of an industrial fan against the probabilistic design methodology based on the binary synthesis method. To make the comparison, the case of the design of the diameter of the intermediate shaft of a speed reducer used between a motor and a fan used to dry grains is analyzed. The main objective is to show the advantage that the probabilistic approach offers over traditional axis design approaches. The effectiveness of the results of the methodologies is validated with the torsional rigidity allowed for the design of shafts. The diameter obtained by the static methodology and the one obtained by the fatigue methodology is smaller than the diameter obtained by the torsional stiffness, on the contrary, the diameter obtained by the binary synthesis probabilistic methodology is greater than the diameter of the torsional stiffness.

Keywords: Probabilistic Shaft Design; Von Mises Theory; Soderberg Theory; Binary Synthesis; Torsional Stiffness


  1. McCoy Gilbert A and Douglass JG. “Premium efficiency motor selection and application guide - A handbook for industry”. Energy Efficiency and Renewable Energy 136 (2014).
  2. Childs PRN. “Mechanical Design: Theory and Applications”. Mechanical Design: Theory and Applications (2021).
  3. Piña-Monarrez MR. “Weibull stress distribution for static mechanical stress and its stress/strength analysis”. Quality and Reliability Engineering International 34 (2018): 229-244.
  4. Menon RK. “Measurement, Instrumentation, and Sensors Handbook. Meas Instrumentation”. Sensors Handb Spat Mech Therm Radiat Meas Second Ed (2017).
  5. Goud K and Wani TP. “Stress analysis of the landing gear well beams and damage calculation due to landing cycles”. International Journal of Research in Aeronautical and Mechanical Engineering 2 (2015): 61-69.
  6. Shigley JE., et al. “Mechanical Engineering Design”. Mechanical Engineering (2002).
  7. Karmankar RG. “Analysis of Von- Mises-Stress for Interference Fit and Pull- Out States By Using Finite Element Method”. International Research Journal of Engineering and Technology 4 (2017): 1367-1374.
  8. Schierz M. “Increase in Elastic Stress Limits by Plastic Conditioning: Influence of Strain Hardening on Interference Fits”. Applied Mechanics 3 (2022): 375-389.
  9. Dupen B. “Applied Strength of Materials for Engineering Technology”. Applied Strength of Materials for Engineering Technology 6 (2014): 152.
  10. Hamrock B., et al. “Failure Prediction for Cyclic and Impact Loading”. In: Fundam. Mach. Elem (2004): 265-322
  11. Tamin M N and Hamzah MA. “Fatigue Failure Analysis of a Centrifugal Pump Shaft”. IntechOpen (2017).
  12. Joun MS., et al. “A New General Fatigue Limit Diagram and Its Application of Predicting Die Fatigue Life during Cold Forging”. Materials (Basel) 15 (2022): 1-17.
  13. Saerens E., et al. “Constant Torque Mechanisms: A Survey”. Applied Mechanics Reviews (2022).
  14. Antunes RA and de Oliveira MCL. “Effect of surface treatments on the fatigue life of magnesium and its alloys for biomedical applications”. Surface Modification of Magnesium and its Alloys for Biomedical Applications (2015).
  15. Kececioglu DB Ph D. “Robust Engineering With Emphasis On Mechanical Components and Structural Reliability”. DEStech Publication, Lancaster (2003).
  16. Juvinall RC and Saunders H. “Fundamentals of Machine Component Design”. Journal of Mechanisms Transmissions and Automation in Design (2012).
  17. Liu S and Shin YC. “Additive manufacturing of Ti6Al4V alloy: A review”. Materials and Design 164 (2019): 107552.
  18. Macikowski K., et al. “Change in the Torsional Stiffness of Rectangular Profiles under Bending Stress”. Materials (Basel) 15 (2022): 1-18.
  19. WEG Specification guide 2018 (2018).
  20. Gear Reducers (2023).
  21. Gujar RA and Bhaskar S V. “Shaft Design under Fatigue Loading By Using Modified Goodman Method”. International Journal of Applied Engineering Research [IJAER] 3 (2013): 1061-1066.
  22. Cao Z., et al. “Dynamic Simulation and Experimental Study of Electric Vehicle Motor-Gear System Based on State Space Method”. Machines (2022).
  23. Villa-Covarrubias B., et al. “Probabilistic Methodology to Determine The Shaft’s Diameter and Designed Reliability” 9 (2020): 934-947.
  24. Miller RJ. “Design Approaches for High Temperature Composite Aeroengine Components”. Comprehensive Composite Materials (2000): 181-207.
  25. Zaretsky E V., et al. “Weibull-Based Design Methodology for Rotating Structures in Aircraft Engines”. International Journal of Rotating Machinery 9 (2003): 313-325.
  26. Kececioglu D. Reliability Engineering Handbook-Volume1 (2002).


Citation: Manuel Baro-Tijerina. “Probabilistic Shaft Design Using Corrective Factors Methodology Versus Binary Synthesis Methodology”.Acta Scientific Medical Sciences 7.1 (2023): 151-161.


Copyright: © 2022 Manuel Baro-Tijerina. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


Acceptance rate30%
Acceptance to publication20-30 days
Impact Factor1.403

Indexed In

News and Events

  • Certification for Review
    Acta Scientific certifies the Editors/reviewers for their review done towards the assigned articles of the respective journals.
  • Submission Timeline for Upcoming Issue
    The last date for submission of articles for regular Issues is February 15, 2023.
  • Publication Certificate
    Authors will be issued a "Publication Certificate" as a mark of appreciation for publishing their work.
  • Best Article of the Issue
    The Editors will elect one Best Article after each issue release. The authors of this article will be provided with a certificate of “Best Article of the Issue”.
  • Welcoming Article Submission
    Acta Scientific delightfully welcomes active researchers for submission of articles towards the upcoming issue of respective journals.
  • Contact US