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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"> <c val="#400080">Page No.</c> </text> </region> <region region-id="23520" left="42" top="326.25" width="44.25" height="12" align-x="42" align-y="336" 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"> 1.Purpose </text> </region> <region region-id="23521" left="330" top="326.25" width="8.25" height="12" align-x="330" align-y="336" 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 </text> </region> <region region-id="23522" left="42" top="362.25" width="165.75" height="12" align-x="42" align-y="372" 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"> 2. Summary of Results & Conclusions </text> </region> <region region-id="23523" left="330" top="362.25" width="8.25" height="12" align-x="330" align-y="372" 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 </text> </region> <region region-id="23524" left="42" top="398.25" width="62.25" height="12" align-x="42" align-y="408" 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.Design Input </text> </region> <region region-id="23525" left="330" top="398.25" width="8.25" height="12" align-x="330" align-y="408" 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 </text> </region> <region region-id="23526" left="42" top="434.25" width="65.25" height="12" align-x="42" align-y="444" 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"> 4.Assumptions </text> </region> <region region-id="23527" left="330" top="434.25" width="8.25" height="12" align-x="330" align-y="444" 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 </text> </region> <region region-id="23528" left="42" top="470.25" width="60" height="12" align-x="42" align-y="480" 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"> 5. References </text> </region> <region region-id="23529" left="330" top="470.25" width="11.25" height="12" align-x="330" align-y="480" 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"> 4<sp count="2"/> </text> </region> <region region-id="23530" left="42" top="506.25" width="210" height="12" align-x="42" align-y="516" 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"> 6. Computer and Software Identification </text> </region> <region region-id="23531" left="330" top="506.25" width="25.5" height="12" align-x="330" align-y="516" 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"> 4<sp count="2"/> </text> </region> <region region-id="23532" left="42" top="542.25" width="66.75" height="12" align-x="42" align-y="552" 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"> 7. Methodology </text> </region> <region region-id="23533" left="330" top="542.25" width="25.5" height="12" align-x="330" align-y="552" 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"> 5<sp count="2"/> </text> </region> <region region-id="23534" left="42" top="578.25" width="64.5" height="12" align-x="42" align-y="588" 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"> 8. Calculations </text> </region> <region region-id="23535" left="330" top="578.25" width="24" height="12" align-x="330" align-y="588" 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"> xx-xx </text> </region> <region region-id="4793" left="18" top="822" width="533.25" height="84" align-x="18" align-y="822" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{00020906-0000-0000-C000-000000000046}" type="embedded" item-idref="29"/> <rendering item-idref="30"/> </region> <region region-id="23631" left="30" top="932.25" width="352.5" height="12" align-x="42.75" align-y="942" 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"> Max Bending for simple span with two equal loads placed symmetrically on beam </text> </region> <region region-id="23635" left="30" top="963" width="34.5" height="12.75" align-x="41.25" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">kN</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="23636" left="84" top="963" width="36" height="12.75" align-x="94.5" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1.5</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="23709" left="228" top="963" width="69.75" height="12.75" align-x="238.5" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1124.0447154985525</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="23711" left="306" top="963" width="50.25" height="12.75" align-x="315.75" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">a</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.9212598425196852</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="23637" left="30" top="986.25" width="99" height="39.75" align-x="48" align-y="1008" 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:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>177977.70303173951</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot" power-numerator="2"/> <unitReference unit="pound"/> <unitReference unit="second" power-numerator="-2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="23639" left="30" top="1034.25" width="114" height="12" align-x="47.25" align-y="1044" 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"> Required Section Modulus </text> </region> <region region-id="23640" left="30" top="1052.25" width="64.5" height="27.75" align-x="59.25" align-y="1068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Sreqd</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Mmax</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Fb</ml:id> <ml:id xml:space="preserve">Cv</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="23642" left="30" top="1106.25" width="456.75" height="24" align-x="42" align-y="1116" 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"> Based on Sreqd, see Table 8.2 in Timber Construction Manual, 4th. (AITC) to obtain dimensions that yield a section modulus required for calculations. </text> </region> <region region-id="23643" left="30" top="1149" width="23.25" height="12.75" align-x="41.25" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This placeholder is empty." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">b</ml:id> <ml:placeholder/> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="23644" left="186" top="1149" width="23.25" height="12.75" align-x="197.25" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This placeholder is empty." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">d</ml:id> <ml:placeholder/> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="23645" left="360" top="1149" width="57" height="12.75" align-x="370.5" align-y="1158" 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">L</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.2641720395173644</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="gallon"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="23647" left="30" top="1163.25" width="171.75" height="48.75" align-x="47.25" align-y="1200" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cv</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:real>5.125</ml:real> <ml:id xml:space="preserve">b</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>20</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:real>12</ml:real> <ml:id xml:space="preserve">d</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>20</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:real>21</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>20</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:eval> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="23650" left="264" top="1190.25" width="177.75" height="12" align-x="276.75" align-y="1200" 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"> MUST BE LESS THAN OR EQUAL TO 1 </text> </region> <region region-id="23653" left="30" top="1238.25" width="287.25" height="12" align-x="30" 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="false"> YES? PROCEED. NO? GO BACK TO TABLE 8.2, pick new b,d,L. </text> </region> <region region-id="23662" left="30" top="1262.25" width="64.5" height="27.75" align-x="59.25" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Sreqd</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Mmax</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Fb</ml:id> <ml:id xml:space="preserve">Cv</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="23663" left="30" top="1310.25" width="477.75" height="12" align-x="30" align-y="1320" 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"> IS Sreqd LESS THAN VALUE FOUND IN TABLE? SELECTION IS OF ADEQUATE SIZE. CONTINUE DESIGN. </text> </region> <region region-id="23664" left="30" top="1334.25" width="89.25" height="12" align-x="30" align-y="1344" 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"> IF NOT, REDESIGN. </text> </region> <region region-id="23666" left="30" top="1364.25" width="114.75" height="12" align-x="40.5" align-y="1374" 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 Parallel to the Grain </text> </region> <region region-id="23668" left="42" top="1388.25" width="68.25" height="12" align-x="59.25" align-y="1398" 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"> Effective Length </text> </region> <region region-id="23669" left="42" top="1412.25" width="84.75" height="27.75" align-x="57.75" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Le</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">d</ml:id> </ml:apply> </ml:parens> <ml:real>12</ml:real> </ml:apply> </ml:apply> </ml:eval> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="23671" left="42" top="1461" width="36" height="12.75" align-x="53.25" align-y="1470" 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">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="43"/> </region> <region region-id="17409" left="6" top="1512" width="533.25" height="84" align-x="6" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{00020906-0000-0000-C000-000000000046}" type="embedded" item-idref="44"/> <rendering item-idref="45"/> </region> <region region-id="23673" left="42" top="1616.25" width="60" height="12" align-x="51.75" align-y="1626" 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"> Load Duration </text> </region> <region region-id="23674" left="42" top="1640.25" width="45.75" height="27.75" align-x="56.25" align-y="1656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">A</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="23675" left="42" top="1688.25" width="87.75" height="27.75" align-x="83.25" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">Fv</ml:id> <ml:id xml:space="preserve">reqd</ml:id> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult style="auto-select"/> <ml:real>3</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">A</ml:id> </ml:apply> <ml:id xml:space="preserve">Cd</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="23677" left="42" top="1748.25" width="108.75" height="12" align-x="66.75" align-y="1758" 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 DEFLECTION </text> </region> <region region-id="23678" left="42" top="1772.25" width="109.5" height="33.75" align-x="71.25" align-y="1794" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Δmax</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="auto-select"/> <ml:parens> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">l</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>24</ml:real> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:id xml:space="preserve">I</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="23680" left="42" top="1868.25" width="417" height="12" align-x="45.75" align-y="1878" 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"> IS BEAM ADEQUATE FOR COMPETITION STANDARDS? IF YES, GO ON. 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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"> <c val="#400080">Page No.</c> </text> </region> <region region-id="23520" left="42" top="326.25" width="44.25" height="12" align-x="42" align-y="336" 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"> 1.Purpose </text> </region> <region region-id="23521" left="330" top="326.25" width="8.25" height="12" align-x="330" align-y="336" 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 </text> </region> <region region-id="23522" left="42" top="362.25" width="165.75" height="12" align-x="42" align-y="372" 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"> 2. Summary of Results & Conclusions </text> </region> <region region-id="23523" left="330" top="362.25" width="8.25" height="12" align-x="330" align-y="372" 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 </text> </region> <region region-id="23524" left="42" top="398.25" width="62.25" height="12" align-x="42" align-y="408" 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.Design Input </text> </region> <region region-id="23525" left="330" top="398.25" width="8.25" height="12" align-x="330" align-y="408" 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 </text> </region> <region region-id="23526" left="42" top="434.25" width="65.25" height="12" align-x="42" align-y="444" 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"> 4.Assumptions </text> </region> <region region-id="23527" left="330" top="434.25" width="8.25" height="12" align-x="330" align-y="444" 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 </text> </region> <region region-id="23528" left="42" top="470.25" width="60" height="12" align-x="42" align-y="480" 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"> 5. References </text> </region> <region region-id="23529" left="330" top="470.25" width="11.25" height="12" align-x="330" align-y="480" 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"> 4<sp count="2"/> </text> </region> <region region-id="23530" left="42" top="506.25" width="210" height="12" align-x="42" align-y="516" 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"> 6. Computer and Software Identification </text> </region> <region region-id="23531" left="330" top="506.25" width="25.5" height="12" align-x="330" align-y="516" 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"> 4<sp count="2"/> </text> </region> <region region-id="23532" left="42" top="542.25" width="66.75" height="12" align-x="42" align-y="552" 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"> 7. Methodology </text> </region> <region region-id="23533" left="330" top="542.25" width="25.5" height="12" align-x="330" align-y="552" 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"> 5<sp count="2"/> </text> </region> <region region-id="23534" left="42" top="578.25" width="64.5" height="12" align-x="42" align-y="588" 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"> 8. Calculations </text> </region> <region region-id="23535" left="330" top="578.25" width="24" height="12" align-x="330" align-y="588" 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"> xx-xx </text> </region> <region region-id="4793" left="18" top="822" width="533.25" height="84" align-x="18" align-y="822" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{00020906-0000-0000-C000-000000000046}" type="embedded" item-idref="29"/> <rendering item-idref="30"/> </region> <region region-id="23631" left="30" top="932.25" width="352.5" height="12" align-x="42.75" align-y="942" 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"> Max Bending for simple span with two equal loads placed symmetrically on beam </text> </region> <region region-id="23635" left="30" top="963" width="34.5" height="12.75" align-x="41.25" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">kN</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="23636" left="84" top="963" width="36" height="12.75" align-x="94.5" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1.5</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="23709" left="228" top="963" width="69.75" height="12.75" align-x="238.5" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1124.0447154985525</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="23711" left="306" top="963" width="50.25" height="12.75" align-x="315.75" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">a</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.9212598425196852</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="34"/> </region> <region region-id="23637" left="30" top="986.25" width="99" height="39.75" align-x="48" align-y="1008" 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:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>177977.70303173951</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot" power-numerator="2"/> <unitReference unit="pound"/> <unitReference unit="second" power-numerator="-2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="23639" left="30" top="1034.25" width="114" height="12" align-x="47.25" align-y="1044" 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"> Required Section Modulus </text> </region> <region region-id="23640" left="30" top="1052.25" width="64.5" height="27.75" align-x="59.25" align-y="1068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Sreqd</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Mmax</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Fb</ml:id> <ml:id xml:space="preserve">Cv</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="23642" left="30" top="1106.25" width="456.75" height="24" align-x="42" align-y="1116" 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"> Based on Sreqd, see Table 8.2 in Timber Construction Manual, 4th. (AITC) to obtain dimensions that yield a section modulus required for calculations. </text> </region> <region region-id="23643" left="30" top="1149" width="23.25" height="12.75" align-x="41.25" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This placeholder is empty." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">b</ml:id> <ml:placeholder/> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="23644" left="186" top="1149" width="23.25" height="12.75" align-x="197.25" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This placeholder is empty." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">d</ml:id> <ml:placeholder/> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="23645" left="360" top="1149" width="57" height="12.75" align-x="370.5" align-y="1158" 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">L</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.2641720395173644</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="gallon"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="23647" left="30" top="1163.25" width="171.75" height="48.75" align-x="47.25" align-y="1200" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cv</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:real>5.125</ml:real> <ml:id xml:space="preserve">b</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>20</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:real>12</ml:real> <ml:id xml:space="preserve">d</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>20</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:real>21</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>20</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:eval> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="23650" left="264" top="1190.25" width="177.75" height="12" align-x="276.75" align-y="1200" 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"> MUST BE LESS THAN OR EQUAL TO 1 </text> </region> <region region-id="23653" left="30" top="1238.25" width="287.25" height="12" align-x="30" 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="false"> YES? PROCEED. NO? GO BACK TO TABLE 8.2, pick new b,d,L. </text> </region> <region region-id="23662" left="30" top="1262.25" width="64.5" height="27.75" align-x="59.25" align-y="1278" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Sreqd</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Mmax</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Fb</ml:id> <ml:id xml:space="preserve">Cv</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="23663" left="30" top="1310.25" width="477.75" height="12" align-x="30" align-y="1320" 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"> IS Sreqd LESS THAN VALUE FOUND IN TABLE? SELECTION IS OF ADEQUATE SIZE. CONTINUE DESIGN. </text> </region> <region region-id="23664" left="30" top="1334.25" width="89.25" height="12" align-x="30" align-y="1344" 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"> IF NOT, REDESIGN. </text> </region> <region region-id="23666" left="30" top="1364.25" width="114.75" height="12" align-x="40.5" align-y="1374" 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 Parallel to the Grain </text> </region> <region region-id="23668" left="42" top="1388.25" width="68.25" height="12" align-x="59.25" align-y="1398" 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"> Effective Length </text> </region> <region region-id="23669" left="42" top="1412.25" width="84.75" height="27.75" align-x="57.75" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Le</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">d</ml:id> </ml:apply> </ml:parens> <ml:real>12</ml:real> </ml:apply> </ml:apply> </ml:eval> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="23671" left="42" top="1461" width="36" height="12.75" align-x="53.25" align-y="1470" 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">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="43"/> </region> <region region-id="17409" left="6" top="1512" width="533.25" height="84" align-x="6" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{00020906-0000-0000-C000-000000000046}" type="embedded" item-idref="44"/> <rendering item-idref="45"/> </region> <region region-id="23673" left="42" top="1616.25" width="60" height="12" align-x="51.75" align-y="1626" 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"> Load Duration </text> </region> <region region-id="23674" left="42" top="1640.25" width="45.75" height="27.75" align-x="56.25" align-y="1656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">A</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="46"/> </region> <region region-id="23675" left="42" top="1688.25" width="87.75" height="27.75" align-x="83.25" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">Fv</ml:id> <ml:id xml:space="preserve">reqd</ml:id> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:mult style="auto-select"/> <ml:real>3</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">A</ml:id> </ml:apply> <ml:id xml:space="preserve">Cd</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="23677" left="42" top="1748.25" width="108.75" height="12" align-x="66.75" align-y="1758" 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 DEFLECTION </text> </region> <region region-id="23678" left="42" top="1772.25" width="109.5" height="33.75" align-x="71.25" align-y="1794" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Δmax</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="auto-select"/> <ml:parens> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">l</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>24</ml:real> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:id xml:space="preserve">I</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="23680" left="42" top="1868.25" width="417" height="12" align-x="45.75" align-y="1878" 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"> IS BEAM ADEQUATE FOR COMPETITION STANDARDS? IF YES, GO ON. 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