The Archimedes’ Constant, <i>π</i> Seen by Mechanical Engineers

Abstract

Probabilistic engineering mechanics is used to relate the value of π with one of the main parameters in fracture mechanics. It proposes an engineering method to obtain the value of it from engineering data without involving any geometrical Euclidian’s circle’s data measurement or analysis. It is the first trial in studying the use of fracture mechanics to determine the value of ratio of circumference and diameter of Euclidean’s circles indirectly, and subsequently evaluate the number of the digits actually needed in fracture mechanics and engineering purposes.

Keywords

• Archimedes’ constant
• Euclidian’s circle
• fracture mechanics
• stress intensity factor
• <i>π</i>