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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>16. How is the Response Spectrum Analysis performed in AutoPIPE Vessel?</title><link>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/24524/16-how-is-the-response-spectrum-analysis-performed-in-autopipe-vessel</link><description /><dc:language>en-US</dc:language><generator>Telligent Community 12</generator><item><title>16. How is the Response Spectrum Analysis performed in AutoPIPE Vessel?</title><link>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/24524/16-how-is-the-response-spectrum-analysis-performed-in-autopipe-vessel</link><pubDate>Tue, 25 Aug 2020 19:31:00 GMT</pubDate><guid isPermaLink="false">6dad98f5-dbc9-4c4d-a9ba-e9da8dc6aa8e:d16b44cf-94a5-4275-a8b2-08dfcf61894d</guid><dc:creator>JamieP</dc:creator><comments>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/24524/16-how-is-the-response-spectrum-analysis-performed-in-autopipe-vessel#comments</comments><description>Current Revision posted to AutoPIPE Wiki by JamieP on 8/25/2020 7:31:00 PM&lt;br /&gt;
&lt;p style="margin-left:30px;"&gt;&lt;span style="background-color:#008000;color:#ffffff;font-size:150%;"&gt;&lt;strong&gt;Answer.&amp;nbsp;&lt;/strong&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:60px;"&gt;&lt;span style="color:#008000;"&gt;A response spectrum analysis is run by using linear interpolation for the following site spectrum period and acceleration in the Earthquake tab under Vessel Properties&amp;gt;Load Conditions :&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:90px;"&gt;&lt;span style="color:#008000;font-family:&amp;#39;Times New Roman&amp;#39;;font-size:medium;"&gt; &lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/0636.1.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img alt=" " src="/resized-image/__size/720x0/__key/communityserver-wikis-components-files/00-00-00-00-41/0636.1.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Seismic code used in ASCE 7-2010.&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;The analysis is run, the 5 modes and period are calculated as follows. The natural frequency is calculated by finite element beam stiffness matrix.&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:60px;"&gt;&lt;span style="color:#008000;"&gt;The T=0.116 corresponding to which the spectral acceleration obtained from the site spectrum data is 0.238g which is obtained as follows:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:60px;"&gt;&lt;span style="color:#008000;"&gt;See the site spectrum table:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:90px;"&gt;&lt;span style="color:#008000;font-family:&amp;#39;Times New Roman&amp;#39;;font-size:medium;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/1638.2.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/1638.2.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;The T=0.116 corresponding to which the spectral acceleration obtained from the site spectrum data is 0.238g which is obtained as follows:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;See the site spectrum table:&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&lt;span style="color:#008000;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/8883.6.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img style="display:block;margin-left:auto;margin-right:auto;" alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/8883.6.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Cs = Sa (since this is a response spectrum analysis) = 0.1 + 0.016 (0.28-0.23)/(0.2-0.1) = 0.238 g (by linear interpolation from the above table using period = 0.116) which is reported in the calculation report below:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:90px;"&gt;&lt;span style="color:#008000;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/5367.3.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/5367.3.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Once Cs is obtained, further calculations performed as follows:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;W=3,769.94&amp;nbsp;daN.(vessel weight for the design case)&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;The base shear V=Cs x W = 0.238 g x 3769.94/g = 897 daN.&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Cvx obtained as shown in the report below, where wx is the weight of the section and hx is the distance from the datum:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:90px;"&gt;&lt;span style="color:#008000;font-family:&amp;#39;Times New Roman&amp;#39;;font-size:medium;"&gt; &lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/0083.4.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/0083.4.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Fx = Cvx * V = eg. for section 12 , Fx = 0.00099 x 897 = 0.88803 = 0.9 as stated in the report.&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Fv = 0.2 x SDS x wx = 0.2 * (0.9g) x wx as in report, explanation as follows: (refer ASCE 7-10 par. 12.4.2.2)&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 30px;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;The vertical seismic load effect is a combination of Weight:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/7.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img style="display:block;margin-left:auto;margin-right:auto;" alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/7.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;so the Vertical Load Fv at each level is equal to 0.2SDS*wx (wx = weight at each level).&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 90px;"&gt;&lt;span style="color:#008000;"&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/7142.5.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/7142.5.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;Eg. for section 12: Fv=0.2 x .9 x 19.7 = 3.546 = 3.6 as in the report.&lt;/span&gt;&lt;/p&gt;
&lt;div style="clear:both;"&gt;&lt;/div&gt;

&lt;div style="font-size: 90%;"&gt;Tags: AutoPIPE Vessel, Response Spectrum, seismic&lt;/div&gt;
</description></item><item><title>Q. How is the Response Spectrum Analysis performed in AutoPIPE Vessel?</title><link>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/24524/16-how-is-the-response-spectrum-analysis-performed-in-autopipe-vessel/revision/3</link><pubDate>Wed, 06 Jan 2016 19:39:48 GMT</pubDate><guid isPermaLink="false">6dad98f5-dbc9-4c4d-a9ba-e9da8dc6aa8e:d16b44cf-94a5-4275-a8b2-08dfcf61894d</guid><dc:creator>Mike Dattilio</dc:creator><comments>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/24524/16-how-is-the-response-spectrum-analysis-performed-in-autopipe-vessel#comments</comments><description>Revision 3 posted to AutoPIPE Wiki by Mike Dattilio on 1/6/2016 7:39:48 PM&lt;br /&gt;
&lt;p style="margin-left:30px;"&gt;&lt;span style="font-size:150%;color:#ffffff;background-color:#008000;"&gt;&lt;strong&gt;Answer.&amp;nbsp;&lt;/strong&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:60px;"&gt;&lt;span style="color:#008000;"&gt;A response spectrum analysis is run by using linear interpolation for the following site spectrum period and acceleration in the Earthquake tab under Vessel Properties&amp;gt;Load Conditions :&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:90px;"&gt;&lt;span style="font-family:&amp;#39;Times New Roman&amp;#39;;font-size:medium;color:#008000;"&gt; &lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/0636.1.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img alt=" " src="/resized-image/__size/720x0/__key/communityserver-wikis-components-files/00-00-00-00-41/0636.1.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Seismic code used in ASCE 7-2010.&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;The analysis is run, the 5 modes and period are calculated as follows. The natural frequency is calculated by finite element beam stiffness matrix.&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:60px;"&gt;&lt;span style="color:#008000;"&gt;The T=0.116 corresponding to which the spectral acceleration obtained from the site spectrum data is 0.238g which is obtained as follows:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:60px;"&gt;&lt;span style="color:#008000;"&gt;See the site spectrum table:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:90px;"&gt;&lt;span style="font-family:&amp;#39;Times New Roman&amp;#39;;font-size:medium;color:#008000;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/1638.2.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/1638.2.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;The T=0.116 corresponding to which the spectral acceleration obtained from the site spectrum data is 0.238g which is obtained as follows:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;See the site spectrum table:&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&lt;span style="color:#008000;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/8883.6.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img style="margin-right:auto;margin-left:auto;display:block;" alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/8883.6.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Cs = Sa (since this is a response spectrum analysis) = 0.1 + 0.016 (0.28-0.23)/(0.2-0.1) = 0.238 g (by linear interpolation from the above table using period = 0.116) which is reported in the calculation report below:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:90px;"&gt;&lt;span style="color:#008000;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/5367.3.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/5367.3.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Once Cs is obtained, further calculations performed as follows:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;W=3,769.94&amp;nbsp;daN.(vessel weight for the design case)&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;The base shear V=Cs x W = 0.238 g x 3769.94/g = 897 daN.&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Cvx obtained as shown in the report below, where wx is the weight of the section and hx is the distance from the datum:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin-left:90px;"&gt;&lt;span style="font-family:&amp;#39;Times New Roman&amp;#39;;font-size:medium;color:#008000;"&gt; &lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/0083.4.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/0083.4.jpg" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Fx = Cvx * V = eg. for section 12 , Fx = 0.00099 x 897 = 0.88803 = 0.9 as stated in the report.&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;Fv = 0.2 x SDS x wx = 0.2 * (0.9g) x wx as in report, explanation as follows: (refer ASCE 7-10 par. 12.4.2.2)&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 30px;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;The vertical seismic load effect is a combination of Weight:&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/7.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img style="margin-right:auto;margin-left:auto;display:block;" src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/7.jpg" alt=" " /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 60px;"&gt;&lt;span style="color:#008000;"&gt;so the Vertical Load Fv at each level is equal to 0.2SDS*wx (wx = weight at each level).&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt 90px;"&gt;&lt;span style="color:#008000;"&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/7142.5.jpg"&gt;&lt;span style="color:#008000;"&gt;&lt;img src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/7142.5.jpg" alt=" " /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="color:#008000;"&gt;Eg. for section 12: Fv=0.2 x .9 x 19.7 = 3.546 = 3.6 as in the report.&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;/p&gt;
&lt;p&gt;&lt;/p&gt;&lt;div style="clear:both;"&gt;&lt;/div&gt;

&lt;div style="font-size: 90%;"&gt;Tags: AutoPIPE Vessel, Response Spectrum, seismic&lt;/div&gt;
</description></item><item><title>Seismic Response Spectrum Analysis</title><link>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/24524/16-how-is-the-response-spectrum-analysis-performed-in-autopipe-vessel/revision/2</link><pubDate>Wed, 07 Oct 2015 18:07:17 GMT</pubDate><guid isPermaLink="false">6dad98f5-dbc9-4c4d-a9ba-e9da8dc6aa8e:d16b44cf-94a5-4275-a8b2-08dfcf61894d</guid><dc:creator>Sudip Ganguly</dc:creator><comments>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/24524/16-how-is-the-response-spectrum-analysis-performed-in-autopipe-vessel#comments</comments><description>Revision 2 posted to AutoPIPE Wiki by Sudip Ganguly on 10/7/2015 6:07:17 PM&lt;br /&gt;
&lt;p&gt;Q. How is the Response Spectrum Analysis performed in AutoPIPE Vessel?&lt;/p&gt;
&lt;p&gt;&lt;/p&gt;
&lt;p&gt;Ans;&amp;nbsp; A response spectrum analysis is run by using linear interpolation for the following site spectrum period and acceleration in the Earthquake tab under Vessel Properties&amp;gt;Load Conditions :&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/0636.1.jpg"&gt;&lt;img alt=" " src="/resized-image/__size/720x0/__key/communityserver-wikis-components-files/00-00-00-00-41/0636.1.jpg" /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Seismic code used in ASCE 7-2010.&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;The analysis is run, the 5 modes and period are calculated as follows. The natural frequency is calculated by finite element beam stiffness matrix.&lt;/p&gt;
&lt;p&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;The T=0.116 corresponding to which the spectral acceleration obtained from the site spectrum data is 0.238g which is obtained as follows:&lt;/p&gt;
&lt;p&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;See the site spectrum table:&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/1638.2.jpg"&gt;&lt;img alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/1638.2.jpg" /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;The T=0.116 corresponding to which the spectral acceleration obtained from the site spectrum data is 0.238g which is obtained as follows:&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;See the site spectrum table:&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/8883.6.jpg"&gt;&lt;img style="margin-right:auto;margin-left:auto;display:block;" alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/8883.6.jpg" /&gt;&lt;/a&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Cs = Sa (since this is a response spectrum analysis) = 0.1 + 0.016 (0.28-0.23)/(0.2-0.1) = 0.238 g (by linear interpolation from the above table using period = 0.116) which is reported in the calculation report below:&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/5367.3.jpg"&gt;&lt;img alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/5367.3.jpg" /&gt;&lt;/a&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Once Cs is obtained, further calculations performed as follows:&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;W=3,769.94&amp;nbsp;daN.(vessel weight for the design case)&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;The base shear V=Cs x W = 0.238 g x 3769.94/g = 897 daN.&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Cvx obtained as shown in the report below, where wx is the weight of the section and hx is the distance from the datum:&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/0083.4.jpg"&gt;&lt;img alt=" " src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/0083.4.jpg" /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Fx = Cvx * V = eg. for section 12 , Fx = 0.00099 x 897 = 0.88803 = 0.9 as stated in the report.&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Fv = 0.2 x SDS x wx = 0.2 * (0.9g) x wx as in report, explanation as follows: (refer ASCE 7-10 par. 12.4.2.2)&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;The vertical seismic load effect is a combination of Weight:&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/7.jpg"&gt;&lt;img style="margin-right:auto;margin-left:auto;display:block;" src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/7.jpg" alt=" " /&gt;&lt;/a&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;so the Vertical Load Fv at each level is equal to 0.2SDS*wx (wx = weight at each level).&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/7142.5.jpg"&gt;&lt;img src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/7142.5.jpg" alt=" " /&gt;&lt;/a&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Eg. for section 12: Fv=0.2 x .9 x 19.7 = 3.546 = 3.6 as in the report.&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&lt;/p&gt;&lt;div style="clear:both;"&gt;&lt;/div&gt;

&lt;div style="font-size: 90%;"&gt;Tags: AutoPIPE Vessel, Response Spectrum, seismic&lt;/div&gt;
</description></item><item><title>Seismic Response Spectrum Analysis</title><link>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/24524/16-how-is-the-response-spectrum-analysis-performed-in-autopipe-vessel/revision/1</link><pubDate>Wed, 07 Oct 2015 18:05:52 GMT</pubDate><guid isPermaLink="false">6dad98f5-dbc9-4c4d-a9ba-e9da8dc6aa8e:d16b44cf-94a5-4275-a8b2-08dfcf61894d</guid><dc:creator>Sudip Ganguly</dc:creator><comments>https://communities.bentley.com/products/pipe_stress_analysis/w/pipe_stress_analysis__wiki/24524/16-how-is-the-response-spectrum-analysis-performed-in-autopipe-vessel#comments</comments><description>Revision 1 posted to AutoPIPE Wiki by Sudip Ganguly on 10/7/2015 6:05:52 PM&lt;br /&gt;
&lt;p&gt;Q. How is the Response Spectrum Analysis performed in AutoPIPE Vessel?&lt;/p&gt;
&lt;p&gt;&lt;/p&gt;
&lt;p&gt;Ans;&amp;nbsp; A response spectrum analysis is run by using linear interpolation for the following site spectrum period and acceleration in the Earthquake tab under Vessel Properties&amp;gt;Load Conditions :&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/0636.1.jpg"&gt;&lt;img src="/resized-image/__size/720x0/__key/communityserver-wikis-components-files/00-00-00-00-41/0636.1.jpg" alt=" " /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Seismic code used in ASCE 7-2010.&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;The analysis is run, the 5 modes and period are calculated as follows. The natural frequency is calculated by finite element beam stiffness matrix.&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;The T=0.116 corresponding to which the spectral acceleration obtained from the site spectrum data is 0.238g which is obtained as follows:&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;See the site spectrum table:&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/1638.2.jpg"&gt;&lt;img src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/1638.2.jpg" alt=" " /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;The T=0.116 corresponding to which the spectral acceleration obtained from the site spectrum data is 0.238g which is obtained as follows:&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;See the site spectrum table:&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/8883.6.jpg"&gt;&lt;img style="margin-right:auto;margin-left:auto;display:block;" src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/8883.6.jpg" alt=" " /&gt;&lt;/a&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Cs = Sa (since this is a response spectrum analysis) = 0.1 + 0.016 (0.28-0.23)/(0.2-0.1) = 0.238 g (by linear interpolation from the above table using period = 0.116) which is reported in the calculation report below:&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/5367.3.jpg"&gt;&lt;img src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/5367.3.jpg" alt=" " /&gt;&lt;/a&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Once Cs is obtained, further calculations performed as follows:&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;W=3,769.94&amp;nbsp;daN.(vessel weight for the design case)&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;The base shear V=Cs x W = 0.238 g x 3769.94/g = 897 daN.&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Cvx obtained as shown in the report below, where wx is the weight of the section and hx is the distance from the datum:&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;a href="/cfs-file/__key/communityserver-wikis-components-files/00-00-00-00-41/0083.4.jpg"&gt;&lt;img src="/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-41/0083.4.jpg" alt=" " /&gt;&lt;/a&gt;&lt;/span&gt;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Fx = Cvx * V = eg. for section 12 , Fx = 0.00099 x 897 = 0.88803 = 0.9 as stated in the report.&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;Fv = 0.2 x SDS x wx = 0.2 * (0.9g) x wx as in report, explanation as follows: (refer ASCE 7-10 par. 12.4.2.2)&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;The vertical seismic load effect is a combination of Weight:&lt;/p&gt;
&lt;p style="margin:0in 0in 0pt;"&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;span style="font-family:Times New Roman;font-size:medium;"&gt; &lt;/span&gt;&lt;/p&gt;&lt;div style="clear:both;"&gt;&lt;/div&gt;
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