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<?xml-stylesheet type="text/xsl" href="https://communities.bentley.com/cfs-file/__key/system/syndication/rss.xsl" media="screen"?><rss version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/"><channel><title>10. Rounding Error - value of pi</title><link>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/51136/10-rounding-error---value-of-pi</link><description /><dc:language>en-US</dc:language><generator>Telligent Community 12</generator><item><title>10. Rounding Error - value of pi</title><link>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/51136/10-rounding-error---value-of-pi</link><pubDate>Wed, 02 Aug 2023 10:53:25 GMT</pubDate><guid isPermaLink="false">6dad98f5-dbc9-4c4d-a9ba-e9da8dc6aa8e:9aebadf9-5ae4-4c30-8dd5-a95277d74aa8</guid><dc:creator>Tanaji Gaikwad</dc:creator><comments>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/51136/10-rounding-error---value-of-pi#comments</comments><description>Current Revision posted to AutoPIPE Wiki by Tanaji Gaikwad on 8/2/2023 10:53:25 AM&lt;br /&gt;
&lt;p&gt;In AutoPIPE Vessel the value of pi is generally a calculated value in radians&amp;nbsp;: PI=ACOS(-1).&lt;/p&gt;
&lt;p&gt;From the past some formulae however were expressed with only 3.14 in the&amp;nbsp;design code, hence in AutoPIPE Vessel the values of pi have been used in various cases - sometimes as either 3.14, sometimes using the formula above (most accurate value) or sometimes upto 7 significant digits.&lt;/p&gt;
&lt;p&gt;The accurate result would be to use PI calculated as mentioned above, but it is not possible to say which values assume an accurate PI value and which values are considered 3.14 or upto&amp;nbsp;7 significant digits&amp;nbsp;in the source code. Although there would be a discrepancy in the accuracy using the different values, the % difference would be very less and&amp;nbsp;for example for&amp;nbsp;large flange calculations with large loading this difference may become insignificant.&lt;/p&gt;
&lt;p&gt;However, users are cautioned to use proper design judgment and if necessary validations with hand calculations and have appropriate margin in their final design dimension selection to accommodate accuracy discrepancies if they believe that the small difference due to the discrepancy is NOT acceptable in their design.&lt;/p&gt;&lt;div style="clear:both;"&gt;&lt;/div&gt;

&lt;div style="font-size: 90%;"&gt;Tags: AutoPIPE Vessel, rounding error, Accuracy, pi value&lt;/div&gt;
</description></item><item><title>10. Rounding Error - value of pi</title><link>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/51136/10-rounding-error---value-of-pi/revision/1</link><pubDate>Wed, 26 Aug 2020 13:39:46 GMT</pubDate><guid isPermaLink="false">6dad98f5-dbc9-4c4d-a9ba-e9da8dc6aa8e:9aebadf9-5ae4-4c30-8dd5-a95277d74aa8</guid><dc:creator>JamieP</dc:creator><comments>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/51136/10-rounding-error---value-of-pi#comments</comments><description>Revision 1 posted to AutoPIPE Wiki by JamieP on 8/26/2020 1:39:46 PM&lt;br /&gt;
&lt;p&gt;In AutoPIPE Vessel the value of pi is generally a calculated value in radians&amp;nbsp;: PI=ACOS(-1).&lt;/p&gt;
&lt;p&gt;From the past some formulae however were expressed with only 3.14 in the&amp;nbsp;design code, hence in AutoPIPE Vessel the values of pi have been used in various cases - sometimes as either 3.14, sometimes using the formula above (most accurate value) or sometimes upto 7 significant digits.&lt;/p&gt;
&lt;p&gt;The accurate result would be to use PI calculated as mentioned above, but it is not possible to say which values assume an accurate PI value and which values are considered 3.14 or upto&amp;nbsp;7 significant digits&amp;nbsp;in the source code. Although there would be a discrepancy in the accuracy using the different values, the % difference would be very less and&amp;nbsp;for example for&amp;nbsp;large flange calculations with large loading this difference may become insignificant.&lt;/p&gt;
&lt;p&gt;However, users are cautioned to use proper design judgment and if necessary validations with hand calculations and have appropriate margin in their final design dimension selection to accommodate accuracy discrepancies if they believe that the small difference due to the discrepancy is NOT acceptable in their design.&lt;/p&gt;&lt;div style="clear:both;"&gt;&lt;/div&gt;

&lt;div style="font-size: 90%;"&gt;Tags: AutoPIPE Vessel, rounding error, Accuracy, pi value&lt;/div&gt;
</description></item></channel></rss>