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Structures</c> <c val="#800000">Disclaimer: This software is intended for use by Iowa DOT personnel and consultants working for the OBS in their development of projects for the Iowa DOT. Any other use is at the sole discretion of the user. The Iowa DOT makes the software available "AS IS" and assumes no liability nor makes any warranty of any kind, including warranties of noninfringement, fitness or merchantability whether expressed or implied, to the accuracy or functionality of this software. By downloading or using this file, you are agreeing to this disclaimer.</c> <c val="#800000">The OBS will only support those persons using this software in connection with Iowa DOT related business.</c> <c val="#800000">Please report any errors to the Iowa DOT OBS.</c> </text> </region> <region region-id="32149" left="12" top="48" width="492.75" height="20.25" align-x="12" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{7EFFBE60-44F5-11CE-83C5-08003601A74E}" type="static" item-idref="3"/> <rendering item-idref="4"/> </region> <region region-id="32136" left="192" top="75.75" width="138.75" height="18" align-x="192" align-y="90" 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"> <f family="Arial" charset="0" size="16"> <inlineAttr line-through="false"> <c val="#00f">Table of 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top="211.5" width="288.75" height="17.25" align-x="47.25" align-y="222" 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"> 3.1 TRANSVERSE STIFFENER MOMENT OF INERTIA, <region region-id="33276" left="288.75" top="212.25" width="7.5" height="13.5" align-x="291.75" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">ϕ</ml:id> </math> <rendering item-idref="5"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <c val="#00f"> v </c> </inlineAttr> </f>Vcr>Vu </text> </region> <region region-id="33278" left="432" top="212.25" width="6" height="12" align-x="433.5" align-y="222" 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"> <f size="11">4</f> </text> </region> <region region-id="33313" left="546" top="224.25" width="357.75" height="110.25" align-x="549" align-y="234" 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"> 03/23/2011: Equation 6.10.11.1.2-1 altered placing focus on web depth (D) rather than beam depth. Equation 6.10.11.1.3-1 altered replacing d0 with b. The factor b inputs the minimum value of d0 and D. Minimum Stiffener Area equations removed from worksheet due to no longer being specified. VuOverVn input used to determine which equations to use for determining Imin. Equations 3-4 & 3-6 work only when <region region-id="33296" left="592.5" top="294" width="7.5" height="13.5" align-x="595.5" align-y="303.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">ϕ</ml:id> </math> <rendering item-idref="6"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <c val="#00f"> v </c> </inlineAttr> </f>Vcr>Vu and equations 3-7 & 3-8 work only when Vu><region region-id="33297" left="830.25" top="294" width="7.5" height="13.5" align-x="833.25" align-y="303.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">ϕ</ml:id> </math> <rendering item-idref="7"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <c val="#00f"> <f family="Arial" charset="0" size="10">v</f> </c> </inlineAttr>Vcr .Inputs from Shear Capacity-Interior Panel Worksheet have been added to solve equation 3-7. </text> </region> <region region-id="33280" left="42" top="235.5" width="288.75" height="17.25" align-x="47.25" align-y="246" 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"> 3.2 TRANSVERSE STIFFENER MOMENT OF INERTIA, Vu><region region-id="33281" left="306" top="236.25" width="7.5" height="13.5" align-x="309" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" 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xml:space="preserve">kip</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="29093" left="1206" top="426.75" width="39" height="29.25" align-x="1223.25" align-y="444" 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/math30"> <ml:id xml:space="preserve">plf</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="32553" left="6" top="446.25" width="249.75" height="36" align-x="6" align-y="456" 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"> <f family="Arial" charset="0"> <inlineAttr line-through="false">SPECIFICATION:<tab/> </inlineAttr> </f>LRFD 5th Edition, 2010 (U.S. Units).<sp count="2"/> <tab/> <tab/> </text> </region> <region region-id="29094" left="1206" top="456.75" width="42" height="34.5" align-x="1226.25" align-y="474" 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/math30"> <ml:id xml:space="preserve">psf</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ft</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="29095" left="1122" top="462.75" width="43.5" height="34.5" align-x="1141.5" align-y="480" 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/math30"> <ml:id xml:space="preserve">ksi</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kip</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="32554" left="6" top="476.25" width="75" height="12" align-x="6" align-y="486" 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"> <f family="Arial" charset="0"> <inlineAttr line-through="false">ASSUMPTIONS:</inlineAttr> </f> </text> </region> <region region-id="32555" left="90" top="476.25" width="431.25" height="12" align-x="90" align-y="486" 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"> No longitudinal stiffeners. </text> </region> <region region-id="29096" left="1122" top="498.75" width="42" height="34.5" align-x="1142.25" align-y="516" 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/math30"> <ml:id xml:space="preserve">pcf</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ft</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="32556" left="6" top="510.75" width="93.75" height="14.25" align-x="19.5" align-y="522" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">INPUT SECTION</c> </inlineAttr> </f> </text> </region> <region region-id="32557" left="30" top="536.25" width="123" height="12" align-x="54" align-y="546" 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"> Intermediate Stiffener Width: </text> </region> <region region-id="32558" left="342" top="536.25" width="48" height="17.25" align-x="359.25" align-y="546" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:apply> <ml:mult/> <ml:real>5.5</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="32559" left="30" top="560.25" width="141.75" height="12" align-x="54" align-y="570" 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"> Intermediate Stiffener Thickness: </text> </region> <region region-id="32560" left="342" top="560.25" width="59.25" height="17.25" align-x="357" align-y="570" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">t</ml:id> <ml:apply> <ml:mult/> <ml:real>0.5625</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="32561" left="30" top="584.25" width="119.25" height="12" align-x="54" align-y="594" 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"> Minimum Stiffener Spacing: </text> </region> <region region-id="32562" left="342" top="584.25" width="39.75" height="17.25" align-x="359.25" align-y="594" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0">d</ml:id> <ml:apply> <ml:mult/> <ml:real>6</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="32563" left="30" top="608.25" width="166.5" height="12" align-x="30" align-y="618" 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 Compression Flange Width: </text> </region> <region region-id="32564" left="342" top="608.25" width="45.75" height="17.25" align-x="359.25" align-y="618" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="c">b</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="32565" left="30" top="632.25" width="204.75" height="12" align-x="30" align-y="642" 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"> Corresponding Compression Flange Thickness: </text> </region> <region region-id="32566" left="342" top="632.25" width="39" height="17.25" align-x="357" align-y="642" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="c">t</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="32567" left="30" top="656.25" width="142.5" height="12" align-x="30" align-y="666" 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"> Thickness of the Tension Flange: </text> </region> <region region-id="32568" left="342" top="656.25" width="36.75" height="17.25" align-x="354.75" align-y="666" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t">t</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="32569" left="30" top="680.25" width="51.75" height="12" align-x="30" align-y="690" 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"> Web Depth: </text> </region> <region region-id="32570" left="342" top="680.25" width="42" height="13.5" align-x="355.5" align-y="690" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:mult/> <ml:real>64</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="32571" left="30" top="704.25" width="70.5" height="12" align-x="30" align-y="714" 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"> Web Thickness: </text> </region> <region region-id="32572" left="342" top="704.25" width="60.75" height="17.25" align-x="358.5" align-y="714" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="w">t</ml:id> <ml:apply> <ml:mult/> <ml:real>0.4375</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="32573" left="30" top="728.25" width="87.75" height="12" align-x="55.5" align-y="738" 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"> Web Yield Strength: </text> </region> <region region-id="32574" left="342" top="728.25" width="58.5" height="17.25" align-x="366.75" align-y="738" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="yw">F</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">ksi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="32583" left="30" top="752.25" width="159" height="12" align-x="55.5" align-y="762" 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"> Intermediate Stiffener Yield Strength: </text> </region> <region region-id="32584" left="342" top="752.25" width="57" height="17.25" align-x="365.25" align-y="762" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ys">F</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">ksi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="29097" left="1122" top="756.75" width="41.25" height="29.25" align-x="1139.25" align-y="774" 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/math30"> <ml:id xml:space="preserve">klf</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kip</ml:id> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="32575" left="30" top="776.25" width="119.25" height="12" align-x="55.5" align-y="786" 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"> Steel Modulus of Elasticity: </text> </region> <region region-id="32576" left="342" top="776.25" width="66" height="17.25" align-x="360.75" align-y="786" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">E</ml:id> <ml:apply> <ml:mult/> <ml:real>29000</ml:real> <ml:id xml:space="preserve">ksi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="32577" left="30" top="800.25" width="176.25" height="12" align-x="48" align-y="810" 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"> Minimum Shear Buckling Resistance, C: </text> </region> <region region-id="32578" left="342" top="800.25" width="37.5" height="13.5" align-x="355.5" align-y="810" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:real>0.26</ml:real> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="33096" left="30" top="830.25" width="259.5" height="12" align-x="42.75" align-y="840" 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"> Inputs From Shear Capacity - Interior Panel Worksheet </text> </region> <region region-id="33112" left="30" top="854.25" width="157.5" height="12" align-x="48.75" align-y="864" 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"> <tab/>Factored Load Shear Force: </text> </region> <region region-id="33125" left="342" top="854.25" width="57" height="17.25" align-x="360.75" align-y="864" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="u">V</ml:id> <ml:apply> <ml:mult/> <ml:real>384</ml:real> <ml:id xml:space="preserve">kip</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="33126" left="66" top="878.25" width="120.75" height="12" align-x="89.25" align-y="888" 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"> Shear Buckling Resistance: </text> </region> <region region-id="33127" left="342" top="878.25" width="60.75" height="17.25" align-x="364.5" align-y="888" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="cr">V</ml:id> <ml:apply> <ml:mult/> <ml:real>173</ml:real> <ml:id xml:space="preserve">kip</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="33129" left="66" top="902.25" width="118.5" height="12" align-x="80.25" align-y="912" 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"> Nominal Shear Resistance: </text> </region> <region region-id="33130" left="342" top="902.25" width="57" height="17.25" align-x="360.75" align-y="912" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="n">V</ml:id> <ml:apply> <ml:mult/> <ml:real>434</ml:real> <ml:id xml:space="preserve">kip</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="33133" left="66" top="926.25" width="124.5" height="12" align-x="72.75" align-y="936" 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"> Resistance Factor for Shear: </text> </region> <region region-id="33135" left="342" top="926.25" width="37.5" height="17.25" align-x="360" align-y="936" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="v">ϕ</ml:id> <ml:real>1.0</ml:real> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="15617" left="0" top="1002" width="6000" height="6" align-x="0" align-y="1002" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="32150" left="6" top="1014.75" width="144" height="14.25" align-x="6" align-y="1026" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">CALCULATION SECTION</c> </inlineAttr> </f> </text> </region> <region region-id="32154" left="30" top="1046.25" width="309" height="12" align-x="36" 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="true"> Size the intermediate stiffeners based on Article 6.10.11. </text> </region> <region region-id="33303" left="30" top="1070.25" width="276" height="15" align-x="51" align-y="1080" 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 Ratio of Applied Shear To Shear Resistance, Vu/ϕVcr: </text> </region> <region region-id="33305" left="48" top="1089" width="93.75" height="36.75" align-x="102" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">VuOverVcr</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="u">V</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:id xml:space="preserve" subscript="v">ϕ</ml:id> <ml:id xml:space="preserve" subscript="cr">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="33310" left="318" top="1100.25" width="78" height="13.5" align-x="370.5" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">VuOverVcr</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2.2196531791907512</ml:real> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="32151" left="30" top="1134.75" width="253.5" height="14.25" align-x="35.25" align-y="1146" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">1.0<sp count="2"/>INTERMEDIATE STIFFENER SIZE</c> </inlineAttr> </f> </text> </region> <region region-id="32164" left="48" top="1160.25" width="66.75" height="12" align-x="64.5" align-y="1170" 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"> Stiffener Width: </text> </region> <region region-id="32165" left="156" top="1160.25" width="45.75" height="17.25" align-x="171.75" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5.5</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="32166" left="48" top="1184.25" width="85.5" height="12" align-x="64.5" align-y="1194" 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"> Stiffener Thickness: </text> </region> <region region-id="32167" left="156" top="1184.25" width="57" height="17.25" align-x="169.5" 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 placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">t</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.5625</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="4" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="34"/> </region> <region region-id="32168" left="30" top="1212.75" width="323.25" height="14.25" align-x="35.25" align-y="1224" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">2.0</c> </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false"> <c val="#00f"> <sp count="2"/> </c> </inlineAttr> </f> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">MINIMUM WIDTH AND THICKNESS REQUIREMENTS</c> </inlineAttr> </f> </text> </region> <region region-id="32257" left="48" top="1238.25" width="137.25" height="12" align-x="66" align-y="1248" 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"> Minimum Width and Thickness: </text> </region> <region region-id="32258" left="66" top="1260.75" width="78.75" height="28.5" align-x="93.75" align-y="1278" 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/math30"> <ml:id xml:space="preserve" subscript="min">b</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2.0</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:real>30</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="32259" left="318" top="1268.25" width="56.25" height="17.25" align-x="344.25" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">b</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.1333333333333337</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="32320" left="432" top="1268.25" width="65.25" height="13.5" align-x="463.5" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.2</ml:real> <ml:real>1</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="37"/> </region> <region region-id="32261" left="66" top="1299" width="99.75" height="32.25" align-x="91.5" align-y="1320" 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/math30"> <ml:id xml:space="preserve" subscript="min">t</ml:id> <ml:apply> <ml:id xml:space="preserve" font="1">max</ml:id> <ml:sequence> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:real>16</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="c">b</ml:id> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:real>16</ml:real> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="32262" left="318" top="1310.25" width="58.5" height="17.25" align-x="342" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">t</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.34375</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="2" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="39"/> </region> <region region-id="32321" left="432" top="1310.25" width="65.25" height="13.5" align-x="463.5" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.2</ml:real> <ml:real>2</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="40"/> </region> <region region-id="32264" left="66" top="1352.25" width="321" height="34.5" align-x="98.25" align-y="1362" 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/math30"> <ml:id xml:space="preserve">Width</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:id xml:space="preserve" subscript="min">b</ml:id> </ml:apply> <ml:str xml:space="preserve">OK, width & thickness requirements satisfied</ml:str> </ml:ifThen> <ml:otherwise> <ml:str xml:space="preserve">NG, width & thickness requirements NOT satisfied</ml:str> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="32265" left="204" top="1400.25" width="236.25" height="13.5" align-x="234.75" align-y="1410" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Width</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:str xml:space="preserve">OK, width & thickness requirements satisfied</ml:str> </result> </ml:eval> </math> <rendering item-idref="42"/> </region> <region region-id="32266" left="66" top="1436.25" width="319.5" height="34.5" align-x="96.75" 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/math30"> <ml:id xml:space="preserve">Thick</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="s">t</ml:id> <ml:id xml:space="preserve" subscript="min">t</ml:id> </ml:apply> <ml:str xml:space="preserve">OK, width & thickness requirements satisfied</ml:str> </ml:ifThen> <ml:otherwise> <ml:str xml:space="preserve">NG, width & thickness requirements NOT satisfied</ml:str> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="32267" left="204" top="1484.25" width="234.75" height="13.5" align-x="233.25" align-y="1494" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Thick</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:str xml:space="preserve">OK, width & thickness requirements satisfied</ml:str> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="33270" left="0" top="1536" width="6000" height="6" align-x="0" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="32268" left="30" top="1548.75" width="303.75" height="14.25" align-x="35.25" align-y="1560" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">3.0<sp count="2"/>MINIMUM MOMENT OF INERTIA REQUIREMENTS</c> </inlineAttr> </f> </text> </region> <region region-id="33142" left="48" top="1573.5" width="285" height="17.25" align-x="49.5" align-y="1584" 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"> 3.1 Transverse Stiffeners Moment of Inertia where <region region-id="33140" left="288" top="1574.25" width="7.5" height="13.5" align-x="291" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">ϕ</ml:id> </math> <rendering item-idref="45"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <c val="#00f"> v </c> </inlineAttr> </f> V cr >V u <sp/> </text> </region> <region region-id="32269" left="48" top="1592.25" width="175.5" height="12" align-x="66" align-y="1602" 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"> Minimum stiffener spacing input by user: </text> </region> <region region-id="32270" left="66" top="1616.25" width="50.25" height="17.25" align-x="81.75" align-y="1626" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0">d</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>72.000000000000014</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region region-id="32271" left="48" top="1640.25" width="120.75" height="12" align-x="66" align-y="1650" 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"> Minimum moment of inertia: </text> </region> <region region-id="32272" left="66" top="1659" width="71.25" height="22.5" align-x="97.5" align-y="1674" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="min.1">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="w">t</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">J</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="47"/> </region> <region region-id="32314" left="432" top="1664.25" width="65.25" height="13.5" align-x="463.5" align-y="1674" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.3</ml:real> <ml:real>1</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="48"/> </region> <region region-id="32274" left="84" top="1687.5" width="129.75" height="38.25" align-x="96" align-y="1710" 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/math30"> <ml:id xml:space="preserve">J</ml:id> <ml:apply> <ml:id xml:space="preserve" font="1">max</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real font="0">2.5</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve" subscript="0">d</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>2.0</ml:real> </ml:apply> <ml:real>0.5</ml:real> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="32275" left="318" top="1700.25" width="40.5" height="13.5" align-x="328.5" align-y="1710" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">J</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.5</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="2" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="50"/> </region> <region region-id="32315" left="432" top="1700.25" width="65.25" height="13.5" align-x="463.5" align-y="1710" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.3</ml:real> <ml:real>5</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="51"/> </region> <region region-id="33025" left="84" top="1736.25" width="67.5" height="17.25" align-x="96" align-y="1746" 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/math30"> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="0">d</ml:id> <ml:id xml:space="preserve">D</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="52"/> </region> <region region-id="33026" left="318" top="1736.25" width="45" height="13.5" align-x="328.5" align-y="1746" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">b</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>64</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="53"/> </region> <region region-id="32277" left="66" top="1767" width="73.5" height="22.5" align-x="99" align-y="1782" 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/math30"> <ml:id xml:space="preserve" subscript="min.1">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="w">t</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">J</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="54"/> </region> <region region-id="32278" left="318" top="1767" width="66" height="22.5" align-x="349.5" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min.1">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/math30"> <unitedValue> <ml:real>2.6796874999999996</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="55"/> </region> <region region-id="33036" left="432" top="1814.25" width="65.25" height="13.5" align-x="463.5" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.3</ml:real> <ml:real>4</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="56"/> </region> <region region-id="33032" left="66" top="1803.75" width="123" height="42" align-x="97.5" align-y="1830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="min.2">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">D</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="t">ρ</ml:id> <ml:real>1.3</ml:real> </ml:apply> </ml:apply> <ml:real>40</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="yw">F</ml:id> <ml:id xml:space="preserve" subscript="s">E</ml:id> </ml:apply> </ml:parens> <ml:real>1.5</ml:real> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="57"/> </region> <region region-id="33049" left="90" top="1857" width="111" height="61.5" align-x="111.75" align-y="1878" 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/math30"> <ml:id xml:space="preserve" subscript="cr">F</ml:id> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:sequence> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>0.31</ml:real> <ml:id xml:space="preserve" subscript="s">E</ml:id> </ml:apply> <ml:apply> 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<unitReference unit="kips_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="59"/> </region> <region region-id="33058" left="432" top="1868.25" width="65.25" height="13.5" align-x="463.5" align-y="1878" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.3</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="60"/> </region> <region region-id="33063" left="90" top="1929" width="91.5" height="36.75" align-x="105" align-y="1950" 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/math30"> <ml:id xml:space="preserve" subscript="t">ρ</ml:id> <ml:apply> <ml:id 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is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min.2">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">D</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="t">ρ</ml:id> <ml:real>1.3</ml:real> </ml:apply> </ml:apply> <ml:real>40</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="yw">F</ml:id> <ml:id xml:space="preserve" subscript="s">E</ml:id> </ml:apply> </ml:parens> <ml:real>1.5</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="33071" left="318" top="1989" width="70.5" height="22.5" align-x="349.5" align-y="2004" show-border="false" show-highlight="false" is-protected="true" 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</region> <region region-id="33075" left="90" top="2036.25" width="123.75" height="17.25" align-x="123" align-y="2046" 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/math30"> <ml:id xml:space="preserve" subscript="min.n">I</ml:id> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="min.1">I</ml:id> <ml:id xml:space="preserve" subscript="min.2">I</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="65"/> </region> <region region-id="33073" left="318" top="2031" width="66" height="22.5" align-x="349.5" align-y="2046" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min.n">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/math30"> <unitedValue> <ml:real>2.6796874999999996</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="66"/> </region> <region region-id="33271" left="0" top="2088" width="6000" height="6" align-x="0" align-y="2088" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="33174" left="48" top="2107.5" width="279" height="20.25" align-x="53.25" align-y="2118" 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"> 3.2 Transverse Stiffener Moment of Inertia where V u > <region region-id="33145" left="300" top="2108.25" width="12.75" height="15.75" align-x="305.25" align-y="2118" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:indexer/> <ml:id xml:space="preserve">ϕ</ml:id> <ml:id xml:space="preserve">v</ml:id> </ml:apply> </math> <rendering item-idref="67"/> </region> V cr </text> </region> <region region-id="33289" left="72" top="2133" width="336.75" height="58.5" align-x="102.75" align-y="2154" 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/math30"> <ml:id xml:space="preserve" subscript="min.t">I</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="min.2">I</ml:id> <ml:id xml:space="preserve" subscript="min.1">I</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="min.1">I</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="min.2">I</ml:id> <ml:id xml:space="preserve" subscript="min.1">I</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="u">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="v">ϕ</ml:id> <ml:id xml:space="preserve" subscript="cr">V</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="v">ϕ</ml:id> <ml:id xml:space="preserve" subscript="n">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="v">ϕ</ml:id> <ml:id xml:space="preserve" subscript="cr">V</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:ifThen> <ml:otherwise> <ml:id xml:space="preserve" subscript="min.2">I</ml:id> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="68"/> </region> <region region-id="33290" left="432" top="2144.25" width="65.25" height="13.5" align-x="463.5" align-y="2154" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.3</ml:real> <ml:real>7</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="69"/> </region> <region region-id="33291" left="432" top="2174.25" width="65.25" height="13.5" align-x="463.5" align-y="2184" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.3</ml:real> <ml:real>8</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="70"/> </region> <region region-id="33292" left="318" top="2193" width="68.25" height="22.5" align-x="347.25" align-y="2208" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min.t">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/math30"> <unitedValue> <ml:real>24.788384954468647</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="71"/> </region> <region region-id="33282" left="48" top="2228.25" width="376.5" height="12" align-x="64.5" align-y="2238" 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"> 3.3 Stiffener moment of inertia about the edge in contact with the web: </text> </region> <region region-id="33259" left="72" top="2258.25" width="169.5" height="39" align-x="96.75" align-y="2268" 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/math30"> <ml:id xml:space="preserve" subscript="min">I</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:id xml:space="preserve">VuOverVcr</ml:id> <ml:real>1.0</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="min.n">I</ml:id> </ml:ifThen> <ml:otherwise> <ml:id xml:space="preserve" subscript="min.t">I</ml:id> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="72"/> </region> <region region-id="33267" left="318" top="2253" width="62.25" height="22.5" align-x="341.25" align-y="2268" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">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/math30"> <unitedValue> <ml:real>24.788384954468647</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="73"/> </region> <region region-id="33248" left="66" top="2311.5" width="60.75" height="27.75" align-x="80.25" align-y="2328" 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/math30"> <ml:id xml:space="preserve" subscript="s">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>3</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="s">t</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="74"/> </region> <region region-id="33249" left="318" top="2313" width="51.75" height="22.5" align-x="330.75" align-y="2328" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">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/math30"> <unitedValue> <ml:real>31.195312499999989</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="75"/> </region> <region region-id="33250" left="66" top="2360.25" width="304.5" height="34.5" align-x="90" align-y="2370" 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/math30"> <ml:id xml:space="preserve">Stiff</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="s">I</ml:id> <ml:id xml:space="preserve" subscript="min">I</ml:id> </ml:apply> <ml:str xml:space="preserve">OK, moment of inertia requirement satisfied</ml:str> </ml:ifThen> <ml:otherwise> <ml:str xml:space="preserve">NG, moment of inertia requirement NOT satisfied</ml:str> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="76"/> </region> <region region-id="33251" left="204" top="2408.25" width="219.75" height="13.5" align-x="226.5" align-y="2418" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Stiff</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:str xml:space="preserve">OK, moment of 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Iowa DOT Office of Bridges and Structures</c> <c val="#800000">Disclaimer: This software is intended for use by Iowa DOT personnel and consultants working for the OBS in their development of projects for the Iowa DOT. 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By downloading or using this file, you are agreeing to this disclaimer.</c> <c val="#800000">The OBS will only support those persons using this software in connection with Iowa DOT related business.</c> <c val="#800000">Please report any errors to the Iowa DOT OBS.</c> </text> </region> <region region-id="32149" left="12" top="48" width="492.75" height="20.25" align-x="12" align-y="48" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{7EFFBE60-44F5-11CE-83C5-08003601A74E}" type="static" item-idref="3"/> <rendering item-idref="4"/> </region> <region region-id="32136" left="192" top="75.75" width="138.75" height="18" align-x="192" align-y="90" 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"> <f family="Arial" charset="0" size="16"> <inlineAttr line-through="false"> <c val="#00f">Table of 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<text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="11"> <inlineAttr font-weight="normal" line-through="false"> <c val="#00f">2.0<sp count="2"/>MINIMUM WIDTH AND THICKNESS REQUIREMENTS</c> </inlineAttr> </f> </text> </region> <region region-id="33022" left="432" top="164.25" width="6" height="12" align-x="432" align-y="174" 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"> <f family="Arial" charset="0" size="11"> <inlineAttr line-through="false"> <c val="#00f">3</c> </inlineAttr> </f> </text> </region> <region region-id="32728" left="24" top="188.25" width="255.75" height="12" align-x="29.25" align-y="198" 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"> <f family="Arial" charset="0" size="11"> <inlineAttr font-weight="normal" line-through="false"> <c val="#00f">3.0<sp count="2"/>MINIMUM MOMENT OF INERTIA REQUIREMENTS</c> </inlineAttr> </f> </text> </region> <region region-id="33273" left="432" top="188.25" width="6" height="12" align-x="433.5" align-y="198" 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"> <f size="11">4</f> </text> </region> <region region-id="33312" left="546" top="203.25" width="180.75" height="15.75" align-x="546" align-y="216" 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"> <f family="Arial" charset="0" size="14"> <inlineAttr font-weight="normal" underline="false" line-through="false"> <c val="#00f">Revision History</c> </inlineAttr> </f> </text> </region> <region region-id="33275" left="42" top="211.5" width="288.75" height="17.25" align-x="47.25" align-y="222" 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"> 3.1 TRANSVERSE STIFFENER MOMENT OF INERTIA, <region region-id="33276" left="288.75" top="212.25" width="7.5" height="13.5" align-x="291.75" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">ϕ</ml:id> </math> <rendering item-idref="5"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <c val="#00f"> v </c> </inlineAttr> </f>Vcr>Vu </text> </region> <region region-id="33278" left="432" top="212.25" width="6" height="12" align-x="433.5" align-y="222" 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"> <f size="11">4</f> </text> </region> <region region-id="33313" left="546" top="224.25" width="357.75" height="110.25" align-x="549" align-y="234" 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"> 03/23/2011: Equation 6.10.11.1.2-1 altered placing focus on web depth (D) rather than beam depth. Equation 6.10.11.1.3-1 altered replacing d0 with b. The factor b inputs the minimum value of d0 and D. Minimum Stiffener Area equations removed from worksheet due to no longer being specified. VuOverVn input used to determine which equations to use for determining Imin. Equations 3-4 & 3-6 work only when <region region-id="33296" left="592.5" top="294" width="7.5" height="13.5" align-x="595.5" align-y="303.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">ϕ</ml:id> </math> <rendering item-idref="6"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <c val="#00f"> v </c> </inlineAttr> </f>Vcr>Vu and equations 3-7 & 3-8 work only when Vu><region region-id="33297" left="830.25" top="294" width="7.5" height="13.5" align-x="833.25" align-y="303.75" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">ϕ</ml:id> </math> <rendering item-idref="7"/> </region> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <c val="#00f"> <f family="Arial" charset="0" size="10">v</f> </c> </inlineAttr>Vcr .Inputs from Shear Capacity-Interior Panel Worksheet have been added to solve equation 3-7. </text> </region> <region region-id="33280" left="42" top="235.5" width="288.75" height="17.25" align-x="47.25" align-y="246" 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"> 3.2 TRANSVERSE STIFFENER MOMENT OF INERTIA, Vu><region region-id="33281" left="306" top="236.25" width="7.5" height="13.5" align-x="309" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">ϕ</ml:id> </math> <rendering item-idref="8"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <c val="#00f"> v </c> </inlineAttr> </f>Vcr </text> </region> <region region-id="33288" left="432" top="236.25" width="6" height="12" align-x="433.5" align-y="246" 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"> <f size="11">5</f> </text> </region> <region region-id="33284" left="42" top="260.25" width="258.75" height="12" align-x="47.25" align-y="270" 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"> 3.3 STIFFENER MOMENT OF INERTIA ABOUT THE EDGE </text> </region> <region region-id="33286" left="432" top="260.25" width="6" height="12" align-x="433.5" align-y="270" 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"> <f size="11">5</f> </text> </region> <region region-id="32131" left="0" top="372" width="6000" height="6" align-x="0" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="32130" left="102" top="381.75" width="308.25" height="18" align-x="117" align-y="396" 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"> <f family="Arial" charset="0" size="16"> <inlineAttr line-through="false"> <c val="#00f">Intermediate Stiffener Size Requirements</c> </inlineAttr> </f> </text> </region> <region region-id="1938" left="6" top="410.25" width="495" height="12" align-x="6" align-y="420" 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"> This worksheet checks the adequacy of size requirements for intermediate stiffeners. </text> </region> <region region-id="29091" left="1110" top="410.25" width="103.5" height="12" align-x="1110" align-y="420" 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"> Special Unit Definitions: </text> </region> <region region-id="29092" left="1122" top="434.25" width="60" height="13.5" align-x="1141.5" align-y="444" 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/math30"> <ml:id xml:space="preserve">kip</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="29093" left="1206" top="426.75" width="39" height="29.25" align-x="1223.25" align-y="444" 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/math30"> <ml:id xml:space="preserve">plf</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="32553" left="6" top="446.25" width="249.75" height="36" align-x="6" align-y="456" 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"> <f family="Arial" charset="0"> <inlineAttr line-through="false">SPECIFICATION:<tab/> </inlineAttr> </f>LRFD 5th Edition, 2010 (U.S. Units).<sp count="2"/> <tab/> <tab/> </text> </region> <region region-id="29094" left="1206" top="456.75" width="42" height="34.5" align-x="1226.25" align-y="474" 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/math30"> <ml:id xml:space="preserve">psf</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ft</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="29095" left="1122" top="462.75" width="43.5" height="34.5" align-x="1141.5" align-y="480" 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/math30"> <ml:id xml:space="preserve">ksi</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kip</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="32554" left="6" top="476.25" width="75" height="12" align-x="6" align-y="486" 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"> <f family="Arial" charset="0"> <inlineAttr line-through="false">ASSUMPTIONS:</inlineAttr> </f> </text> </region> <region region-id="32555" left="90" top="476.25" width="431.25" height="12" align-x="90" align-y="486" 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"> No longitudinal stiffeners. </text> </region> <region region-id="29096" left="1122" top="498.75" width="42" height="34.5" align-x="1142.25" align-y="516" 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/math30"> <ml:id xml:space="preserve">pcf</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ft</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="32556" left="6" top="510.75" width="93.75" height="14.25" align-x="19.5" align-y="522" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">INPUT SECTION</c> </inlineAttr> </f> </text> </region> <region region-id="32557" left="30" top="536.25" width="123" height="12" align-x="54" align-y="546" 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"> Intermediate Stiffener Width: </text> </region> <region region-id="32558" left="342" top="536.25" width="48" height="17.25" align-x="359.25" align-y="546" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:apply> <ml:mult/> <ml:real>5.5</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="32559" left="30" top="560.25" width="141.75" height="12" align-x="54" align-y="570" 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"> Intermediate Stiffener Thickness: </text> </region> <region region-id="32560" left="342" top="560.25" width="59.25" height="17.25" align-x="357" align-y="570" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">t</ml:id> <ml:apply> <ml:mult/> <ml:real>0.5625</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="32561" left="30" top="584.25" width="119.25" height="12" align-x="54" align-y="594" 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"> Minimum Stiffener Spacing: </text> </region> <region region-id="32562" left="342" top="584.25" width="39.75" height="17.25" align-x="359.25" align-y="594" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0">d</ml:id> <ml:apply> <ml:mult/> <ml:real>6</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="32563" left="30" top="608.25" width="166.5" height="12" align-x="30" align-y="618" 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 Compression Flange Width: </text> </region> <region region-id="32564" left="342" top="608.25" width="45.75" height="17.25" align-x="359.25" align-y="618" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="c">b</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="32565" left="30" top="632.25" width="204.75" height="12" align-x="30" align-y="642" 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"> Corresponding Compression Flange Thickness: </text> </region> <region region-id="32566" left="342" top="632.25" width="39" height="17.25" align-x="357" align-y="642" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="c">t</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="32567" left="30" top="656.25" width="142.5" height="12" align-x="30" align-y="666" 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"> Thickness of the Tension Flange: </text> </region> <region region-id="32568" left="342" top="656.25" width="36.75" height="17.25" align-x="354.75" align-y="666" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="t">t</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="32569" left="30" top="680.25" width="51.75" height="12" align-x="30" align-y="690" 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"> Web Depth: </text> </region> <region region-id="32570" left="342" top="680.25" width="42" height="13.5" align-x="355.5" align-y="690" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:apply> <ml:mult/> <ml:real>64</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="32571" left="30" top="704.25" width="70.5" height="12" align-x="30" align-y="714" 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"> Web Thickness: </text> </region> <region region-id="32572" left="342" top="704.25" width="60.75" height="17.25" align-x="358.5" align-y="714" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="w">t</ml:id> <ml:apply> <ml:mult/> <ml:real>0.4375</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="32573" left="30" top="728.25" width="87.75" height="12" align-x="55.5" align-y="738" 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"> Web Yield Strength: </text> </region> <region region-id="32574" left="342" top="728.25" width="58.5" height="17.25" align-x="366.75" align-y="738" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="yw">F</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">ksi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="32583" left="30" top="752.25" width="159" height="12" align-x="55.5" align-y="762" 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"> Intermediate Stiffener Yield Strength: </text> </region> <region region-id="32584" left="342" top="752.25" width="57" height="17.25" align-x="365.25" align-y="762" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ys">F</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">ksi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="29097" left="1122" top="756.75" width="41.25" height="29.25" align-x="1139.25" align-y="774" 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/math30"> <ml:id xml:space="preserve">klf</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kip</ml:id> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="32575" left="30" top="776.25" width="119.25" height="12" align-x="55.5" align-y="786" 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"> Steel Modulus of Elasticity: </text> </region> <region region-id="32576" left="342" top="776.25" width="66" height="17.25" align-x="360.75" align-y="786" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">E</ml:id> <ml:apply> <ml:mult/> <ml:real>29000</ml:real> <ml:id xml:space="preserve">ksi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="32577" left="30" top="800.25" width="176.25" height="12" align-x="48" align-y="810" 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"> Minimum Shear Buckling Resistance, C: </text> </region> <region region-id="32578" left="342" top="800.25" width="37.5" height="13.5" align-x="355.5" align-y="810" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:real>0.26</ml:real> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="33096" left="30" top="830.25" width="259.5" height="12" align-x="42.75" align-y="840" 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"> Inputs From Shear Capacity - Interior Panel Worksheet </text> </region> <region region-id="33112" left="30" top="854.25" width="157.5" height="12" align-x="48.75" align-y="864" 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"> <tab/>Factored Load Shear Force: </text> </region> <region region-id="33125" left="342" top="854.25" width="57" height="17.25" align-x="360.75" align-y="864" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="u">V</ml:id> <ml:apply> <ml:mult/> <ml:real>384</ml:real> <ml:id xml:space="preserve">kip</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="33126" left="66" top="878.25" width="120.75" height="12" align-x="89.25" align-y="888" 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"> Shear Buckling Resistance: </text> </region> <region region-id="33127" left="342" top="878.25" width="60.75" height="17.25" align-x="364.5" align-y="888" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="cr">V</ml:id> <ml:apply> <ml:mult/> <ml:real>173</ml:real> <ml:id xml:space="preserve">kip</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="33129" left="66" top="902.25" width="118.5" height="12" align-x="80.25" align-y="912" 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"> Nominal Shear Resistance: </text> </region> <region region-id="33130" left="342" top="902.25" width="57" height="17.25" align-x="360.75" align-y="912" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="n">V</ml:id> <ml:apply> <ml:mult/> <ml:real>434</ml:real> <ml:id xml:space="preserve">kip</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="33133" left="66" top="926.25" width="124.5" height="12" align-x="72.75" align-y="936" 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"> Resistance Factor for Shear: </text> </region> <region region-id="33135" left="342" top="926.25" width="37.5" height="17.25" align-x="360" align-y="936" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="v">ϕ</ml:id> <ml:real>1.0</ml:real> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="15617" left="0" top="1002" width="6000" height="6" align-x="0" align-y="1002" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="32150" left="6" top="1014.75" width="144" height="14.25" align-x="6" align-y="1026" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">CALCULATION SECTION</c> </inlineAttr> </f> </text> </region> <region region-id="32154" left="30" top="1046.25" width="309" height="12" align-x="36" 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="true"> Size the intermediate stiffeners based on Article 6.10.11. </text> </region> <region region-id="33303" left="30" top="1070.25" width="276" height="15" align-x="51" align-y="1080" 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 Ratio of Applied Shear To Shear Resistance, Vu/ϕVcr: </text> </region> <region region-id="33305" left="48" top="1089" width="93.75" height="36.75" align-x="102" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ffffe1" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">VuOverVcr</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="u">V</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:id xml:space="preserve" subscript="v">ϕ</ml:id> <ml:id xml:space="preserve" subscript="cr">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="33310" left="318" top="1100.25" width="78" height="13.5" align-x="370.5" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">VuOverVcr</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2.2196531791907512</ml:real> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="32151" left="30" top="1134.75" width="253.5" height="14.25" align-x="35.25" align-y="1146" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">1.0<sp count="2"/>INTERMEDIATE STIFFENER SIZE</c> </inlineAttr> </f> </text> </region> <region region-id="32164" left="48" top="1160.25" width="66.75" height="12" align-x="64.5" align-y="1170" 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"> Stiffener Width: </text> </region> <region region-id="32165" left="156" top="1160.25" width="45.75" height="17.25" align-x="171.75" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5.5</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="32166" left="48" top="1184.25" width="85.5" height="12" align-x="64.5" align-y="1194" 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"> Stiffener Thickness: </text> </region> <region region-id="32167" left="156" top="1184.25" width="57" height="17.25" align-x="169.5" 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 placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">t</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.5625</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="4" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="34"/> </region> <region region-id="32168" left="30" top="1212.75" width="323.25" height="14.25" align-x="35.25" align-y="1224" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">2.0</c> </inlineAttr> </f> <f family="Arial" charset="0"> <inlineAttr line-through="false"> <c val="#00f"> <sp count="2"/> </c> </inlineAttr> </f> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">MINIMUM WIDTH AND THICKNESS REQUIREMENTS</c> </inlineAttr> </f> </text> </region> <region region-id="32257" left="48" top="1238.25" width="137.25" height="12" align-x="66" align-y="1248" 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"> Minimum Width and Thickness: </text> </region> <region region-id="32258" left="66" top="1260.75" width="78.75" height="28.5" align-x="93.75" align-y="1278" 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/math30"> <ml:id xml:space="preserve" subscript="min">b</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2.0</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:real>30</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="32259" left="318" top="1268.25" width="56.25" height="17.25" align-x="344.25" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">b</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.1333333333333337</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="32320" left="432" top="1268.25" width="65.25" height="13.5" align-x="463.5" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.2</ml:real> <ml:real>1</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="37"/> </region> <region region-id="32261" left="66" top="1299" width="99.75" height="32.25" align-x="91.5" align-y="1320" 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/math30"> <ml:id xml:space="preserve" subscript="min">t</ml:id> <ml:apply> <ml:id xml:space="preserve" font="1">max</ml:id> <ml:sequence> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:real>16</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="c">b</ml:id> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:real>16</ml:real> </ml:apply> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="32262" left="318" top="1310.25" width="58.5" height="17.25" align-x="342" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">t</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.34375</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="2" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="39"/> </region> <region region-id="32321" left="432" top="1310.25" width="65.25" height="13.5" align-x="463.5" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.2</ml:real> <ml:real>2</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="40"/> </region> <region region-id="32264" left="66" top="1352.25" width="321" height="34.5" align-x="98.25" align-y="1362" 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/math30"> <ml:id xml:space="preserve">Width</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:id xml:space="preserve" subscript="min">b</ml:id> </ml:apply> <ml:str xml:space="preserve">OK, width & thickness requirements satisfied</ml:str> </ml:ifThen> <ml:otherwise> <ml:str xml:space="preserve">NG, width & thickness requirements NOT satisfied</ml:str> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="32265" left="204" top="1400.25" width="236.25" height="13.5" align-x="234.75" align-y="1410" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Width</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:str xml:space="preserve">OK, width & thickness requirements satisfied</ml:str> </result> </ml:eval> </math> <rendering item-idref="42"/> </region> <region region-id="32266" left="66" top="1436.25" width="319.5" height="34.5" align-x="96.75" 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/math30"> <ml:id xml:space="preserve">Thick</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="s">t</ml:id> <ml:id xml:space="preserve" subscript="min">t</ml:id> </ml:apply> <ml:str xml:space="preserve">OK, width & thickness requirements satisfied</ml:str> </ml:ifThen> <ml:otherwise> <ml:str xml:space="preserve">NG, width & thickness requirements NOT satisfied</ml:str> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="32267" left="204" top="1484.25" width="234.75" height="13.5" align-x="233.25" align-y="1494" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Thick</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:str xml:space="preserve">OK, width & thickness requirements satisfied</ml:str> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="33270" left="0" top="1536" width="6000" height="6" align-x="0" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="32268" left="30" top="1548.75" width="303.75" height="14.25" align-x="35.25" align-y="1560" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#00f">3.0<sp count="2"/>MINIMUM MOMENT OF INERTIA REQUIREMENTS</c> </inlineAttr> </f> </text> </region> <region region-id="33142" left="48" top="1573.5" width="285" height="17.25" align-x="49.5" align-y="1584" 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"> 3.1 Transverse Stiffeners Moment of Inertia where <region region-id="33140" left="288" top="1574.25" width="7.5" height="13.5" align-x="291" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">ϕ</ml:id> </math> <rendering item-idref="45"/> </region> <f family="Arial" charset="0" size="10"> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> <c val="#00f"> v </c> </inlineAttr> </f> V cr >V u <sp/> </text> </region> <region region-id="32269" left="48" top="1592.25" width="175.5" height="12" align-x="66" align-y="1602" 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"> Minimum stiffener spacing input by user: </text> </region> <region region-id="32270" left="66" top="1616.25" width="50.25" height="17.25" align-x="81.75" align-y="1626" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0">d</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>72.000000000000014</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region region-id="32271" left="48" top="1640.25" width="120.75" height="12" align-x="66" align-y="1650" 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"> Minimum moment of inertia: </text> </region> <region region-id="32272" left="66" top="1659" width="71.25" height="22.5" align-x="97.5" align-y="1674" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="min.1">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">b</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="w">t</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">J</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="47"/> </region> <region region-id="32314" left="432" top="1664.25" width="65.25" height="13.5" align-x="463.5" align-y="1674" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.3</ml:real> <ml:real>1</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="48"/> </region> <region region-id="32274" left="84" top="1687.5" width="129.75" height="38.25" align-x="96" align-y="1710" 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/math30"> <ml:id xml:space="preserve">J</ml:id> <ml:apply> <ml:id xml:space="preserve" font="1">max</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real font="0">2.5</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve" subscript="0">d</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>2.0</ml:real> </ml:apply> <ml:real>0.5</ml:real> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="32275" left="318" top="1700.25" width="40.5" height="13.5" align-x="328.5" align-y="1710" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">J</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.5</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="2" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="50"/> </region> <region region-id="32315" left="432" top="1700.25" width="65.25" height="13.5" align-x="463.5" align-y="1710" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.3</ml:real> <ml:real>5</ml:real> </ml:apply> </ml:parens> </math> <rendering 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min.n">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/math30"> <unitedValue> <ml:real>2.6796874999999996</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="66"/> </region> <region region-id="33271" left="0" top="2088" width="6000" height="6" align-x="0" align-y="2088" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="33174" left="48" top="2107.5" width="279" height="20.25" align-x="53.25" align-y="2118" 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"> 3.2 Transverse Stiffener Moment of Inertia where V u > <region region-id="33145" left="300" top="2108.25" width="12.75" height="15.75" align-x="305.25" align-y="2118" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:indexer/> <ml:id xml:space="preserve">ϕ</ml:id> <ml:id xml:space="preserve">v</ml:id> </ml:apply> </math> <rendering item-idref="67"/> </region> V cr </text> </region> <region region-id="33289" left="72" top="2133" width="336.75" height="58.5" align-x="102.75" align-y="2154" 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/math30"> <ml:id xml:space="preserve" subscript="min.t">I</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="min.2">I</ml:id> <ml:id xml:space="preserve" subscript="min.1">I</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="min.1">I</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="min.2">I</ml:id> <ml:id xml:space="preserve" subscript="min.1">I</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="u">V</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="v">ϕ</ml:id> <ml:id xml:space="preserve" subscript="cr">V</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="v">ϕ</ml:id> <ml:id xml:space="preserve" subscript="n">V</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="v">ϕ</ml:id> <ml:id xml:space="preserve" subscript="cr">V</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:ifThen> <ml:otherwise> <ml:id xml:space="preserve" subscript="min.2">I</ml:id> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="68"/> </region> <region region-id="33290" left="432" top="2144.25" width="65.25" height="13.5" align-x="463.5" align-y="2154" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.3</ml:real> <ml:real>7</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="69"/> </region> <region region-id="33291" left="432" top="2174.25" width="65.25" height="13.5" align-x="463.5" align-y="2184" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:parens xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:real>6.10.11.1.3</ml:real> <ml:real>8</ml:real> </ml:apply> </ml:parens> </math> <rendering item-idref="70"/> </region> <region region-id="33292" left="318" top="2193" width="68.25" height="22.5" align-x="347.25" align-y="2208" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min.t">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/math30"> <unitedValue> <ml:real>24.788384954468647</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="71"/> </region> <region region-id="33282" left="48" top="2228.25" width="376.5" height="12" align-x="64.5" align-y="2238" 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"> 3.3 Stiffener moment of inertia about the edge in contact with the web: </text> </region> <region region-id="33259" left="72" top="2258.25" width="169.5" height="39" align-x="96.75" align-y="2268" 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/math30"> <ml:id xml:space="preserve" subscript="min">I</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:id xml:space="preserve">VuOverVcr</ml:id> <ml:real>1.0</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="min.n">I</ml:id> </ml:ifThen> <ml:otherwise> <ml:id xml:space="preserve" subscript="min.t">I</ml:id> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="72"/> </region> <region region-id="33267" left="318" top="2253" width="62.25" height="22.5" align-x="341.25" align-y="2268" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">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/math30"> <unitedValue> <ml:real>24.788384954468647</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> 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background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">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/math30"> <unitedValue> <ml:real>31.195312499999989</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="75"/> </region> <region region-id="33250" left="66" top="2360.25" width="304.5" height="34.5" align-x="90" align-y="2370" 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/math30"> <ml:id xml:space="preserve">Stiff</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:greaterOrEqual/> <ml:id xml:space="preserve" subscript="s">I</ml:id> <ml:id xml:space="preserve" subscript="min">I</ml:id> </ml:apply> <ml:str xml:space="preserve">OK, moment of inertia requirement satisfied</ml:str> </ml:ifThen> <ml:otherwise> <ml:str xml:space="preserve">NG, moment of inertia requirement NOT satisfied</ml:str> </ml:otherwise> </ml:program> </ml:define> </math> <rendering item-idref="76"/> </region> <region region-id="33251" left="204" top="2408.25" width="219.75" height="13.5" align-x="226.5" align-y="2418" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Stiff</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:str xml:space="preserve">OK, moment of 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