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xml:space="preserve">psi</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="576" left="60" top="206.25" width="75" height="12" align-x="69" 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="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <i>bolt2 Parameters</i> </p> </text> </region> <region region-id="577" left="84" top="225" width="108" height="18.75" align-x="151.5" align-y="240" 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">bolt2TensArea</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0.334</ml:real> <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="578" left="228" top="231" width="59.25" height="12.75" align-x="274.5" align-y="240" 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">bolt2Num</ml:id> <ml:real>8</ml:real> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="660" left="414" top="235.5" width="12" height="14.25" align-x="415.5" 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:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:sqrt/> <ml:placeholder/> </ml:apply> </math> 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xml:space="preserve">bolt2Num</ml:id> <ml:id xml:space="preserve">bolt2TensArea</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">bolt1Num</ml:id> <ml:id xml:space="preserve">bolt1TensArea</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>26756.155874370128</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="583" left="36" top="383.25" width="141.75" height="15.75" align-x="45" 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="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="14"> <b>Flow Rate Calculation</b> </f> </p> </text> </region> <region region-id="584" left="78" top="404.25" width="44.25" height="27.75" align-x="95.25" align-y="420" 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">R1</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>8</ml:real> </ml:apply> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="585" left="204" top="411" width="40.5" height="12.75" align-x="220.5" align-y="420" 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">L1</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="586" left="84" top="446.25" width="81.75" height="33.75" align-x="106.5" align-y="462" 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="oil">ρ</ml:id> <ml:apply> <ml:mult/> <ml:real>0.00088</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kgf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="587" left="288" top="453" width="131.25" height="16.5" align-x="321" align-y="462" 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">P_1cm</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="oil">ρ</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.012516542110265216</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="588" left="288" top="477" width="66.75" height="12.75" align-x="308.25" align-y="486" 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">ΔP</ml:id> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">P_1cm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="589" left="84" top="477" width="152.25" height="22.5" align-x="107.25" align-y="492" 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="oil">ν</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:real>32</ml:real> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-2</ml:real> </ml:apply> <ml:id xml:space="preserve">stokes</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.32000000000000006</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="stokes"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="590" left="84" top="500.25" width="108.75" height="33.75" align-x="97.5" 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">μ</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="oil">ν</ml:id> <ml:id xml:space="preserve" subscript="oil">ρ</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.60881814215702079</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> <unitReference unit="second" power-numerator="-3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="591" left="72" top="530.25" width="171" height="33.75" align-x="85.5" align-y="552" 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">Q</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">R1</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">ΔP</ml:id> </ml:apply> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">μ</ml:id> </ml:apply> <ml:id xml:space="preserve">L1</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.0093140535425164338</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="gallons_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="621" left="30" top="635.25" width="162.75" height="15.75" align-x="35.25" align-y="648" 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"> <f size="14"> <b>Lip Solution Calculation</b> </f> </p> </text> 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<ml:mult/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">bucketOuterDiam</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">bucketInnerDiam</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>20.231699609485585</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="630" left="54" top="710.25" width="294" height="27.75" align-x="118.5" align-y="726" 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">summedStress</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lidLoad</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">bolt1Num</ml:id> <ml:id xml:space="preserve">bolt1TensArea</ml:id> </ml:apply> <ml:id xml:space="preserve">LipSA</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4103.3717705755571</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pounds_per_sq_inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="635" left="270" top="752.25" width="128.25" height="24" align-x="290.25" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <u>Fabrication is most likely too </u> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <u>complicated for this project</u> </p> </text> </region> <region region-id="631" left="60" top="748.5" width="150" height="31.5" align-x="98.25" align-y="768" 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">bolt1FS</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="yield">bolt</ml:id> <ml:id xml:space="preserve">summedStress</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>20.714671921642022</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="638" left="30" top="791.25" width="280.5" height="15.75" align-x="48" align-y="804" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="14"> <b>Required Effective Surface Area Reduction</b> </f> </p> </text> </region> <region region-id="639" left="54" top="813" width="222" height="18.75" align-x="112.5" align-y="828" 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">bolt1EffArea</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">bolt1Num</ml:id> <ml:id xml:space="preserve">bolt1TensArea</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.5088</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="642" left="312" top="819" width="45.75" height="16.5" align-x="345" align-y="828" 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="bolt">FS</ml:id> <ml:real>4</ml:real> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="643" left="60" top="838.5" width="219" height="35.25" align-x="92.25" align-y="858" 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="req">SA</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="bolt">FS</ml:id> <ml:id xml:space="preserve">lidLoad</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="yield">bolt</ml:id> </ml:apply> <ml:id xml:space="preserve">bolt1EffArea</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.4961873225974829</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="646" left="54" top="873" width="222" height="18.75" align-x="112.5" align-y="888" 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">bolt2EffArea</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">bolt2Num</ml:id> <ml:id xml:space="preserve">bolt2TensArea</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.672</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="649" left="60" top="898.5" width="158.25" height="31.5" align-x="103.5" align-y="918" 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">bolt2Req</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="req">SA</ml:id> <ml:id xml:space="preserve">bolt2TensArea</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>10.467626714363719</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="651" left="36" top="935.25" width="121.5" height="15.75" align-x="45" align-y="948" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="14"> <b>Four Bolt Solution </b> </f> </p> </text> </region> <region region-id="653" left="60" top="957" width="139.5" height="33" align-x="108.75" align-y="978" 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">minRadius</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="req">SA</ml:id> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.52746350317657453</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="655" left="36" top="1001.25" width="130.5" height="15.75" align-x="46.5" align-y="1014" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="14"> <b>Larger Bolt Solution</b> </f> </p> </text> </region> <region region-id="659" left="66" top="1023" width="267" height="36.75" align-x="117" align-y="1044" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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