In this study, Galileo’s problem, namely that of the design of the bar subjected to axial external load, is generalized in the case when multiple axial loads are applied. The loads are modeled as interval variables to describe the ever existing uncertainty in their values. Modified interval arithmetic operation is suggested so as to reduce overestimation of inner axial loaded and needed safety factors. Special emphasis is placed on the cases in which functional relationships may exist among loads.
Elishakoff, I., Gabriele, S., Wang, Y. (2016). Generalized Galileo Galilei problem in interval setting for functionally related loads. ARCHIVE OF APPLIED MECHANICS [10.1007/s00419-015-1086-4].