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item-idref="11"> <element-image-map> <box left="1.5" top="0.75" width="53.25" height="32.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="66" left="120" top="260.25" width="62.25" height="12" align-x="128.25" 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="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">weir thickness</p> </text> </region> <region region-id="69" left="48" top="296.25" width="113.25" height="27.75" align-x="93" align-y="312" 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">thickness</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>8</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>4</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:range> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="96" left="48" top="326.25" width="144.75" height="27.75" align-x="143.25" align-y="342" 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:function> <ml:id xml:space="preserve" subscript="axis">neutral</ml:id> <ml:boundVars> <ml:id xml:space="preserve">thickness</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:id xml:space="preserve">thickness</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="98" left="48" top="362.25" width="148.5" height="27.75" align-x="103.5" align-y="378" 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:function> <ml:id xml:space="preserve">I</ml:id> <ml:boundVars> <ml:id xml:space="preserve">thickness</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="weir">H</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">thickness</ml:id> </ml:apply> 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subscript="max">Pressure</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="weir">H</ml:id> <ml:id xml:space="preserve">γ</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1491.9959999999999</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="87" left="54" top="501" width="102.75" height="16.5" align-x="105.75" align-y="510" 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="mod">Young</ml:id> <ml:apply> <ml:mult/> <ml:real>490000</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="105" left="432" top="519" width="71.25" height="16.5" align-x="461.25" align-y="528" 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="weir">H</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.15239999999999998</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="17"/> </region> <region region-id="88" left="54" top="524.25" width="201" height="27.75" align-x="120" align-y="540" 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="perlength">Load</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="weir">H</ml:id> <ml:id xml:space="preserve" subscript="max">Pressure</ml:id> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>227.38019039999995</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter" power-numerator="-1"/> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="102" left="288" top="530.25" width="60.75" height="12" align-x="296.25" align-y="540" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This is omega</p> </text> </region> <region region-id="103" left="60" top="568.5" width="114.75" height="37.5" align-x="90.75" align-y="594" 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="max">M</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="perlength">Load</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">b</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>8</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="104" left="54" top="640.5" width="282" height="52.5" align-x="165" align-y="666" 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:function> <ml:id xml:space="preserve" subscript="Max">Deflection</ml:id> <ml:boundVars> <ml:id xml:space="preserve">thickness</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve" subscript="perlength">Load</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">b</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>384</ml:real> <ml:id xml:space="preserve" subscript="mod">Young</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="weir">H</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">thickness</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="101" left="60" top="711" width="105" height="151.5" align-x="111.75" align-y="720" 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:apply> <ml:id xml:space="preserve" subscript="Max">Deflection</ml:id> <ml:id xml:space="preserve">thickness</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="8" cols="1"> <ml:real>0.036840476741961378</ml:real> <ml:real>0.018420238370980689</ml:real> <ml:real>0.012280158913987127</ml:real> <ml:real>0.0092101191854903446</ml:real> <ml:real>0.0073680953483922758</ml:real> <ml:real>0.0061400794569935633</ml:real> <ml:real>0.0052629252488516258</ml:real> <ml:real>0.0046050595927451723</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <table item-idref="21"/> </resultFormat> </math> <rendering item-idref="22"/> </region> <region region-id="107" left="258" top="730.5" width="289.5" height="52.5" align-x="373.5" align-y="756" 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:function> <ml:id xml:space="preserve" subscript="Max">Deflection2</ml:id> <ml:boundVars> <ml:id xml:space="preserve">thickness</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve" subscript="perlength">Load</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">b</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>384</ml:real> <ml:id xml:space="preserve" subscript="mod">Young</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:id xml:space="preserve">thickness</ml:id> </ml:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="weir">L</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="112" left="468" top="807" width="109.5" height="151.5" align-x="522" align-y="816" 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:apply> <ml:id xml:space="preserve" subscript="Max">Deflection2</ml:id> <ml:id xml:space="preserve">thickness</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="8" cols="1"> <ml:real>63.660343810109254</ml:real> <ml:real>7.9575429762636567</ml:real> <ml:real>2.3577905114855282</ml:real> <ml:real>0.99469287203295709</ml:real> <ml:real>0.5092827504808739</ml:real> <ml:real>0.29472381393569086</ml:real> <ml:real>0.18559867000031849</ml:real> <ml:real>0.12433660900411964</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <table item-idref="24"/> </resultFormat> </math> <rendering item-idref="25"/> </region> <region region-id="114" left="666" top="818.25" width="435" height="36" align-x="673.5" align-y="828" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">we think deflection 2 is right because the neutral axis of bending is actually the top plane </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">of the weir. rather than getting even thicker PVC, we could add horizontal enforcements to the weir to effectively increase that thickness</p> </text> </region> <region region-id="29" left="312" top="861" width="9" 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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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">width of weir</p> </text> </region> <region region-id="85" left="240" top="236.25" width="54.75" height="33.75" align-x="252.75" align-y="252" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="1A87FA7A-BE4B-445F-B10F-FF707E9E608A" version-id="2E1E9A4A-14C4-405A-9FB9-2A77D00964B6" branch-id="00000000-0000-0000-0000-000000000000" revision-num="366452020" is-modified="true" region-id="0" href="C:\Users\aek225\AppData\Local\Temp\1Lpers SedTank-1.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="1A87FA7A-BE4B-445F-B10F-FF707E9E608A" version-id="2E1E9A4A-14C4-405A-9FB9-2A77D00964B6" branch-id="00000000-0000-0000-0000-000000000000" revision-num="365874868" is-modified="true" region-id="0" href="C:\Users\aek225\AppData\Local\Temp\1Lpers SedTank-1.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">68e86aca18969c3b92ea5fd8e3061376</contentHash> <ml:define> <ml:id xml:space="preserve">γ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>9790</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering 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xml:space="preserve">thickness</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>8</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>4</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:range> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="96" left="48" top="326.25" width="144.75" height="27.75" align-x="143.25" align-y="342" 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:function> <ml:id xml:space="preserve" subscript="axis">neutral</ml:id> <ml:boundVars> <ml:id 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disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="perlength">Load</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="weir">H</ml:id> <ml:id xml:space="preserve" subscript="max">Pressure</ml:id> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>227.38019039999995</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter" power-numerator="-1"/> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="102" left="288" top="530.25" width="60.75" height="12" align-x="296.25" align-y="540" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This is omega</p> </text> </region> <region region-id="103" left="60" top="568.5" width="114.75" height="37.5" align-x="90.75" align-y="594" 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="max">M</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="perlength">Load</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">b</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>8</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="104" left="54" top="640.5" width="282" height="52.5" align-x="165" align-y="666" 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:function> <ml:id xml:space="preserve" subscript="Max">Deflection</ml:id> <ml:boundVars> <ml:id xml:space="preserve">thickness</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve" subscript="perlength">Load</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">b</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>384</ml:real> <ml:id xml:space="preserve" subscript="mod">Young</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="weir">H</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">thickness</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="101" left="60" top="711" width="105" height="151.5" align-x="111.75" align-y="720" 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:apply> <ml:id xml:space="preserve" subscript="Max">Deflection</ml:id> <ml:id xml:space="preserve">thickness</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="8" cols="1"> <ml:real>0.036840476741961378</ml:real> <ml:real>0.018420238370980689</ml:real> <ml:real>0.012280158913987127</ml:real> <ml:real>0.0092101191854903446</ml:real> <ml:real>0.0073680953483922758</ml:real> <ml:real>0.0061400794569935633</ml:real> <ml:real>0.0052629252488516258</ml:real> <ml:real>0.0046050595927451723</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <table item-idref="21"/> </resultFormat> </math> <rendering item-idref="22"/> </region> <region region-id="107" left="258" top="730.5" width="289.5" height="52.5" align-x="373.5" align-y="756" 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:function> <ml:id xml:space="preserve" subscript="Max">Deflection2</ml:id> <ml:boundVars> <ml:id xml:space="preserve">thickness</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve" subscript="perlength">Load</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">b</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>384</ml:real> <ml:id xml:space="preserve" subscript="mod">Young</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>12</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:id xml:space="preserve">thickness</ml:id> </ml:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="weir">L</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="112" left="468" top="807" width="109.5" height="151.5" align-x="522" align-y="816" 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:apply> <ml:id xml:space="preserve" subscript="Max">Deflection2</ml:id> <ml:id xml:space="preserve">thickness</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="8" cols="1"> <ml:real>63.660343810109254</ml:real> <ml:real>7.9575429762636567</ml:real> <ml:real>2.3577905114855282</ml:real> <ml:real>0.99469287203295709</ml:real> <ml:real>0.5092827504808739</ml:real> <ml:real>0.29472381393569086</ml:real> <ml:real>0.18559867000031849</ml:real> <ml:real>0.12433660900411964</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <table item-idref="24"/> </resultFormat> </math> <rendering item-idref="25"/> </region> <region region-id="114" left="666" top="818.25" width="435" height="36" align-x="673.5" align-y="828" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">we think deflection 2 is right because the neutral axis of bending is actually the top plane </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">of the weir. rather than getting even thicker PVC, we could add horizontal enforcements to the weir to effectively increase that thickness</p> </text> </region> <region region-id="29" left="312" top="861" width="9" 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