Determination of overall factor of safety of a design involves repeated calculation of factor of safety at critical points in the design. For a given stress state at a point, the factor of safety is calculated by first finding the principal stresses and then comparing them with the maximum safe stress that can be applied without causing failure of the material according to an appropriate failure theory. In this paper, we suggest quick and ready-to-use expressions and graphs for calculating factor of safety for biaxial stress states for a number of commonly-used failure theories. These graphs can be directly used as design charts for computing factor of safety in engineering design activities.

1.
Dimarogonas, A., 1989, Computer Aided Machine Design, Prentice-Hall, New York.
2.
Juvinall, R. C., and Marshek, K. M., 1983. Fundamentals of Machine Component Design, John Wiley & Sons, New York.
3.
Shigley, J. E., 1986, Mechanical Engineering Design, McGraw-Hill, New York.
4.
Shigley, J. E., and Mischke, C. R., 1989, Mechanical Engineering Design, 5th ed., McGraw-Hill, New York.
5.
Spotts, M. F., 1985, Design of Machine Elements, 6th ed., Prentice-Hall, New Delhi.
6.
Symonds, J., 1987, “Mechanical properties of materials,” In Mark’s Standard Handbook for Mechanical Engineering, E. A. Avallone and T. Baumeister III eds., McGraw-Hill, New York, pp. 5.2–5.15.
This content is only available via PDF.
You do not currently have access to this content.