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<ml:real>2</ml:real> </ml:apply> <ml:real>6</ml:real> </ml:apply> <ml:parens> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>3</ml:real> <ml:real>9</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>12</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:parens> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="1657" left="18" top="830.25" width="117.75" height="20.25" align-x="95.25" align-y="846" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">INERTIA_WELD</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>248.1569999999999</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <general precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="24"/> </region> <region region-id="1607" left="18" top="862.5" width="198.75" height="31.5" align-x="96.75" align-y="882" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">WELD_STRESS</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">MOMENT_FLANGE</ml:id> <ml:real>6</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:id xml:space="preserve">INERTIA_WELD</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="1660" left="18" top="912.75" width="136.5" height="15.75" align-x="96" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">WELD_STRESS</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>24082.97972654409</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="26"/> </region> <region region-id="1609" left="18" top="952.5" width="224.25" height="31.5" align-x="159" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FACTOR_OF_SAFETY_WELD</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>70000</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> <ml:id xml:space="preserve">WELD_STRESS</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="1556" left="330" top="968.25" width="148.5" height="24" align-x="330" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Boom extension Rectangular Tube </text> </region> <region region-id="1661" left="18" top="1008.75" width="174.75" height="15.75" align-x="158.25" align-y="1020" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FACTOR_OF_SAFETY_WELD</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.9066170712607664</ml:real> </result> </ml:eval> <resultFormat> <general precision="2" show-trailing-zeros="true" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="28"/> </region> <region region-id="1652" left="18" top="1046.25" width="171" height="12" align-x="18" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> For each Gusset, compute the Inertia:<sp count="2"/> </text> </region> <region region-id="1733" left="312" top="1062" width="158.25" height="272.25" align-x="312" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{00021A14-0000-0000-C000-000000000046}" type="embedded" item-idref="29"/> <rendering item-idref="30"/> </region> <region region-id="1730" left="36" top="1114.5" width="206.25" height="39.75" align-x="125.25" align-y="1140" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">INERTIA_GUSSET</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.707</ml:real> <ml:real>.375</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:real>1.75</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:real>12</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="1731" left="48" top="1178.25" width="156" height="20.25" align-x="136.5" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">INERTIA_GUSSET</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.11840869140624999</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="32"/> </region> <region region-id="1663" left="60" top="1392.75" width="177" height="15.75" align-x="133.5" align-y="1404" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Area_GUSSET</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.707</ml:real> <ml:real>.375</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>1.75</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="1642" left="312" top="1388.25" width="122.25" height="20.25" align-x="384.75" align-y="1404" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Area_GUSSET</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.46396874999999993</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="1664" left="60" top="1434.75" width="64.5" height="18.75" align-x="77.25" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="2">d</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>6.875</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="1665" left="60" top="1472.25" width="69.75" height="12" align-x="60" align-y="1482" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> parallel Axis Th. </text> </region> <region region-id="1666" left="60" top="1496.25" width="213.75" height="23.25" align-x="71.25" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">I'</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">INERTIA_GUSSET</ml:id> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">Area_GUSSET</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="2">d</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="1667" left="330" top="1496.25" width="66" height="20.25" align-x="340.5" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">I'</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>22.048181640625003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="1668" left="12" top="1532.25" width="346.5" height="12" align-x="12" align-y="1542" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> For 4ea Gussets there are 8 welds.<sp count="2"/>Therefore the total Inertia of the Gussets is: </text> </region> <region region-id="1669" left="60" top="1560.75" width="117.75" height="18.75" align-x="155.25" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="T">GUSSET_INERTIA</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>8</ml:real> <ml:id xml:space="preserve">I'</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="1655" left="318" top="1556.25" width="156" height="23.25" align-x="412.5" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="T">GUSSET_INERTIA</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>176.38545312500003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="1672" left="12" top="1640.25" width="276.75" height="17.25" align-x="108" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_Weld_Inertia</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">INERTIA_WELD</ml:id> <ml:id xml:space="preserve" subscript="T">GUSSET_INERTIA</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="1676" left="324" top="1634.25" width="156.75" height="20.25" align-x="419.25" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_Weld_Inertia</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>424.54245312499995</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="1697" left="18" top="1682.25" width="185.25" height="12" align-x="18" align-y="1692" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Maximum Weld Stress @ end of Gusset:<sp count="2"/> </text> </region> <region region-id="1693" left="12" top="1720.5" width="228.75" height="31.5" align-x="105.75" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_Weld_Stress</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">MOMENT_FLANGE</ml:id> <ml:real>7.75</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:id xml:space="preserve">Total_Weld_Inertia</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="1694" left="324" top="1722.75" width="177" height="21.75" align-x="417" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_Weld_Stress</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>18183.022553287792</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="43"/> </region> <region region-id="1695" left="12" top="1768.5" width="176.25" height="31.5" align-x="90" align-y="1788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_FS_Weld</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>70000</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> <ml:id xml:space="preserve">Total_Weld_Stress</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="1696" left="324" top="1776.75" width="111.75" height="15.75" align-x="401.25" align-y="1788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_FS_Weld</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3.8497449912332011</ml:real> </result> </ml:eval> </math> <rendering item-idref="45"/> </region> <region region-id="1703" left="300" top="1802.25" width="150.75" height="36" align-x="313.5" align-y="1812" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Looks like we can't get over 4 here but we feel there is plenty of safety factor anyhow. </text> </region> <region region-id="1726" left="30" top="1964.25" width="417.75" height="24" align-x="38.25" align-y="1974" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Below: Jon took a look at trying to plug weld to the existing verticals to see if we gained anything (not much) </text> </region> <region region-id="1680" left="12" top="2054.25" width="143.25" height="12" align-x="12" align-y="2064" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Calc Inertia for each Plug Weld:<sp count="2"/> </text> </region> <region region-id="1681" left="18" top="2068.5" width="229.5" height="39.75" align-x="128.25" align-y="2094" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">INERTIA_PLUG_WELD</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.707</ml:real> <ml:real>.375</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:real>.750</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:real>12</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="1683" left="294" top="2076.75" width="195" height="21.75" align-x="403.5" align-y="2094" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">INERTIA_PLUG_WELD</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.0093208007812499959</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="1684" left="18" top="2130.75" width="183" height="15.75" align-x="103.5" align-y="2142" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Area_Plug_Weld</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.707</ml:real> <ml:real>.375</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>.75</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="1685" left="300" top="2126.25" width="134.25" height="20.25" align-x="384.75" align-y="2142" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Area_Plug_Weld</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.19884375</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="49"/> </region> <region region-id="1686" left="18" top="2166.75" width="65.25" height="15.75" align-x="36" align-y="2178" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">dd</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>5.375</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="50"/> </region> <region region-id="1687" left="18" top="2198.25" width="72" height="12" align-x="18" align-y="2208" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> parallel axis th.<sp count="2"/> </text> </region> <region region-id="1688" left="18" top="2222.25" width="255" height="23.25" align-x="41.25" align-y="2238" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="pw">I</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">INERTIA_PLUG_WELD</ml:id> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">Area_Plug_Weld</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">dd</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="1689" left="318" top="2222.25" width="72" height="23.25" align-x="340.5" align-y="2238" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="pw">I</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>5.754041015625</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="52"/> </region> <region region-id="1690" left="18" top="2258.25" width="172.5" height="12" align-x="18" align-y="2268" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> For 4 plug welds there are 8 weld sides: </text> </region> <region region-id="1691" left="18" top="2292.75" width="106.5" height="18.75" align-x="90" align-y="2304" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="T">PW_INERTIA</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>8</ml:real> <ml:id xml:space="preserve" subscript="pw">I</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="53"/> </region> <region region-id="1692" left="318" top="2288.25" width="126.75" height="23.25" align-x="389.25" align-y="2304" 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<ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">MOMENT_FLANGE</ml:id> <ml:real>6</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:id xml:space="preserve">INERTIA_WELD</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="1660" left="18" top="912.75" width="136.5" height="15.75" align-x="96" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">WELD_STRESS</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>24082.97972654409</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="26"/> </region> <region region-id="1609" left="18" top="952.5" width="224.25" height="31.5" align-x="159" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FACTOR_OF_SAFETY_WELD</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>70000</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> <ml:id xml:space="preserve">WELD_STRESS</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="1556" left="330" top="968.25" width="148.5" height="24" align-x="330" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Boom extension Rectangular Tube </text> </region> <region region-id="1661" left="18" top="1008.75" width="174.75" height="15.75" align-x="158.25" align-y="1020" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">FACTOR_OF_SAFETY_WELD</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2.9066170712607664</ml:real> </result> </ml:eval> <resultFormat> <general precision="2" show-trailing-zeros="true" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="28"/> </region> <region region-id="1652" left="18" top="1046.25" width="171" height="12" align-x="18" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> For each Gusset, compute the Inertia:<sp count="2"/> </text> </region> <region region-id="1733" left="312" top="1062" width="158.25" height="272.25" align-x="312" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{00021A14-0000-0000-C000-000000000046}" type="embedded" item-idref="29"/> <rendering item-idref="30"/> </region> <region region-id="1730" left="36" top="1114.5" width="206.25" height="39.75" align-x="125.25" align-y="1140" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">INERTIA_GUSSET</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.707</ml:real> <ml:real>.375</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:real>1.75</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:real>12</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="1731" left="48" top="1178.25" width="156" height="20.25" align-x="136.5" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">INERTIA_GUSSET</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.11840869140624999</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <general precision="6" show-trailing-zeros="true" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="32"/> </region> <region region-id="1663" left="60" top="1392.75" width="177" height="15.75" align-x="133.5" align-y="1404" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Area_GUSSET</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.707</ml:real> <ml:real>.375</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>1.75</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="1642" left="312" top="1388.25" width="122.25" height="20.25" align-x="384.75" align-y="1404" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Area_GUSSET</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.46396874999999993</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="1664" left="60" top="1434.75" width="64.5" height="18.75" align-x="77.25" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="2">d</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>6.875</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="1665" left="60" top="1472.25" width="69.75" height="12" align-x="60" align-y="1482" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> parallel Axis Th. </text> </region> <region region-id="1666" left="60" top="1496.25" width="213.75" height="23.25" align-x="71.25" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">I'</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">INERTIA_GUSSET</ml:id> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">Area_GUSSET</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="2">d</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="1667" left="330" top="1496.25" width="66" height="20.25" align-x="340.5" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">I'</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>22.048181640625003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="1668" left="12" top="1532.25" width="346.5" height="12" align-x="12" align-y="1542" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> For 4ea Gussets there are 8 welds.<sp count="2"/>Therefore the total Inertia of the Gussets is: </text> </region> <region region-id="1669" left="60" top="1560.75" width="117.75" height="18.75" align-x="155.25" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="T">GUSSET_INERTIA</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>8</ml:real> <ml:id xml:space="preserve">I'</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="1655" left="318" top="1556.25" width="156" height="23.25" align-x="412.5" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="T">GUSSET_INERTIA</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>176.38545312500003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="1672" left="12" top="1640.25" width="276.75" height="17.25" align-x="108" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_Weld_Inertia</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">INERTIA_WELD</ml:id> <ml:id xml:space="preserve" subscript="T">GUSSET_INERTIA</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="1676" left="324" top="1634.25" width="156.75" height="20.25" align-x="419.25" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_Weld_Inertia</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>424.54245312499995</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="1697" left="18" top="1682.25" width="185.25" height="12" align-x="18" align-y="1692" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Maximum Weld Stress @ end of Gusset:<sp count="2"/> </text> </region> <region region-id="1693" left="12" top="1720.5" width="228.75" height="31.5" align-x="105.75" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_Weld_Stress</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">MOMENT_FLANGE</ml:id> <ml:real>7.75</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:id xml:space="preserve">Total_Weld_Inertia</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="1694" left="324" top="1722.75" width="177" height="21.75" align-x="417" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_Weld_Stress</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>18183.022553287792</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="43"/> </region> <region region-id="1695" left="12" top="1768.5" width="176.25" height="31.5" align-x="90" align-y="1788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_FS_Weld</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real>70000</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> <ml:id xml:space="preserve">Total_Weld_Stress</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="1696" left="324" top="1776.75" width="111.75" height="15.75" align-x="401.25" align-y="1788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Total_FS_Weld</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3.8497449912332011</ml:real> </result> </ml:eval> </math> <rendering item-idref="45"/> </region> <region region-id="1703" left="300" top="1802.25" width="150.75" height="36" align-x="313.5" align-y="1812" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Looks like we can't get over 4 here but we feel there is plenty of safety factor anyhow. </text> </region> <region region-id="1726" left="30" top="1964.25" width="417.75" height="24" align-x="38.25" align-y="1974" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Below: Jon took a look at trying to plug weld to the existing verticals to see if we gained anything (not much) </text> </region> <region region-id="1680" left="12" top="2054.25" width="143.25" height="12" align-x="12" align-y="2064" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Calc Inertia for each Plug Weld:<sp count="2"/> </text> </region> <region region-id="1681" left="18" top="2068.5" width="229.5" height="39.75" align-x="128.25" align-y="2094" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">INERTIA_PLUG_WELD</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.707</ml:real> <ml:real>.375</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult style="default"/> <ml:real>.750</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:real>12</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="1683" left="294" top="2076.75" width="195" height="21.75" align-x="403.5" align-y="2094" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">INERTIA_PLUG_WELD</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>0.0093208007812499959</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="1684" left="18" top="2130.75" width="183" height="15.75" align-x="103.5" align-y="2142" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Area_Plug_Weld</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.707</ml:real> <ml:real>.375</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>.75</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="1685" left="300" top="2126.25" width="134.25" height="20.25" align-x="384.75" align-y="2142" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval 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