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

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

Probabilistic engineering mechanics is used to relate the value of <inline-formula> <math display="inline"> <semantics> <mi>&#960;</mi> </semantics> </math> </inline-formula> with one of the main parameters in fracture mechanics. It propo...

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Bibliographic Details
Main Authors: Yunan Prawoto, Agus Suhartono
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Mathematical and Computational Applications
Subjects:
Archimedes’ constant
Euclidian’s circle
fracture mechanics
stress intensity factor
<i>π</i>
Online Access:https://www.mdpi.com/2297-8747/24/3/72
Description
Summary:Probabilistic engineering mechanics is used to relate the value of <inline-formula> <math display="inline"> <semantics> <mi>&#960;</mi> </semantics> </math> </inline-formula> 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&#8217;s circle&#8217;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&#8217;s circles indirectly, and subsequently evaluate the number of the digits actually needed in fracture mechanics and engineering purposes.
ISSN:2297-8747

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