Mathcad Professional 13.0 <description/> <author>John Strybos</author> <company/> <keywords/> <revisedBy>Hutu Tootsi</revisedBy> </userData> <identityInfo> <revision>7</revision> <documentID>d5df84e1-9b54-4036-87ff-b22b3767ad6e</documentID> <versionID>73ce6cf9-590c-4868-9caa-050af0ab001f</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="14" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 2"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="bold" font-style="italic" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 3"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Paragraph"> <blockAttr margin-left="0" margin-right="0" text-indent="21" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="List"> <blockAttr margin-left="14.25" margin-right="0" text-indent="-14.25" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Indent"> <blockAttr margin-left="108" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="8" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="8" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="Arial" font-charset="0" font-size="10" font-weight="bold" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="italic" underline="false"/> <mathStyle name="User 5" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3" imaginary-value="i" zero-threshold="15"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="86.4" right="86.4" top="86.4" bottom="86.4"/> <header use-full-page-width="false"> <right>{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fswiss\fprq15\fcharset0 Arial;}{\f1\fnil\fprq15\fcharset0 Arial;}} \viewkind4\uc1\pard\qr\f0\fs18 DAVID WAGNER\par CE 4313 TEST 2\par \{d\}\par PAGE \{n\} OF \{nn\}\f1\par }</right> </header> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="EN" UI="EN"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="false" optimize-expressions="false" exact-boolean="true" strings-use-origin="false" zero-over-zero="error"> <compatibility multiple-assignment="MC12" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="269" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="4" left="12" top="8.25" width="92.25" height="12" align-x="22.5" align-y="18" show-border="true" show-highlight="true" 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"> <b>TEST 2 PROBLEM 1</b> </p> </text> </region> <region region-id="6" left="12" top="46.5" width="33.75" height="10.5" align-x="21.75" align-y="54" 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="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">A</ml:id> <ml:real>121.5</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="8" left="72" top="46.5" width="28.5" height="10.5" align-x="78.75" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">I</ml:id> <ml:real>3281</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="9" left="144" top="46.5" width="33" height="10.5" align-x="153" align-y="54" 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="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">S</ml:id> <ml:real>364.5</ml:real> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="10" left="216" top="46.5" width="29.25" height="10.5" align-x="225" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">b</ml:id> <ml:real>6.75</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="11" left="288" top="46.5" width="23.25" height="10.5" align-x="297" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h</ml:id> <ml:real>18</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="12" left="12" top="82.5" width="42" height="10.5" align-x="21" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">E</ml:id> <ml:real>1700000</ml:real> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="13" left="72" top="82.5" width="30.75" height="10.5" align-x="84.75" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Fv</ml:id> <ml:real>190</ml:real> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="14" left="144" top="82.5" width="34.5" height="10.5" align-x="156.75" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Fb</ml:id> <ml:real>2000</ml:real> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="15" left="216" top="82.5" width="30" height="10.5" align-x="228" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Fc</ml:id> <ml:real>590</ml:real> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="16" left="18" top="112.5" width="33" height="10.5" align-x="27" align-y="120" 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="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>30</ml:real> <ml:real>12</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="17" left="72" top="112.5" width="30" height="10.5" align-x="80.25" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">L</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>360</ml:real> </result> </ml:eval> </math> <rendering item-idref="12"/> </region> <region region-id="18" left="144" top="107.25" width="31.5" height="21.75" align-x="158.25" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">DL</ml:id> <ml:apply> <ml:div/> <ml:real>70</ml:real> <ml:real>12</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="20" left="216" top="112.5" width="41.25" height="10.5" align-x="229.5" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">DL</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>5.833333333333333</ml:real> </result> </ml:eval> </math> <rendering item-idref="14"/> </region> <region region-id="21" left="288" top="107.25" width="34.5" height="21.75" align-x="301.5" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">LL</ml:id> <ml:apply> <ml:div/> <ml:real>160</ml:real> <ml:real>12</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="22" left="360" top="112.5" width="44.25" height="10.5" align-x="372.75" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">LL</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>13.333333333333334</ml:real> </result> </ml:eval> </math> <rendering item-idref="16"/> </region> <region region-id="23" left="18" top="148.5" width="48.75" height="10.5" align-x="32.25" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">TL</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">DL</ml:id> <ml:id xml:space="preserve">LL</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="24" left="108" top="148.5" width="45" height="10.5" align-x="121.5" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">TL</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>19.166666666666668</ml:real> </result> </ml:eval> </math> <rendering item-idref="18"/> </region> <region region-id="26" left="18" top="182.25" width="96.75" height="12" align-x="45.75" align-y="192" show-border="true" show-highlight="true" 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"> <b>DEFLECTION CHECK</b> </p> </text> </region> <region region-id="27" left="18" top="221.25" width="37.5" height="21.75" align-x="34.5" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Δall</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">L</ml:id> <ml:real>240</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="28" left="72" top="226.5" width="36" height="10.5" align-x="87.75" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Δall</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.5</ml:real> </result> </ml:eval> </math> <rendering item-idref="20"/> </region> <region region-id="29" left="18" top="276.75" width="57.75" height="26.25" align-x="39.75" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Δmax</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">TL</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">L</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>384</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="21"/> </region> <region region-id="30" left="108" top="286.5" width="48.75" height="10.5" align-x="129" align-y="294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Δmax</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.7515194434982162</ml:real> </result> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="32" left="18" top="326.25" width="192" height="12" align-x="45.75" align-y="336" show-border="true" show-highlight="true" 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"> <b>DEFLECTION IS OK BECAUSE 0.752 < 1.5</b> </p> </text> </region> <region region-id="35" left="18" top="362.25" width="79.5" height="12" align-x="37.5" align-y="372" show-border="true" show-highlight="true" 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"> <b>BENDING CHECK</b> </p> </text> </region> <region region-id="37" left="18" top="396.75" width="54" height="26.25" align-x="42" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Mmax</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">TL</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">L</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>8</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="38" left="108" top="402" width="70.5" height="15" align-x="131.25" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Mmax</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>310500</ml:real> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="39" left="18" top="449.25" width="52.5" height="21.75" align-x="41.25" 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/math20"> <ml:id xml:space="preserve">fbmax</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Mmax</ml:id> <ml:id xml:space="preserve">S</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="40" left="108" top="454.5" width="57.75" height="10.5" align-x="130.5" 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:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fbmax</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>851.85185185185185</ml:real> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="42" left="24" top="494.25" width="216" height="12" align-x="40.5" align-y="504" show-border="true" show-highlight="true" 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"> <b>BENDING STRESS IS OK BECAUSE 852 < 2000</b> </p> </text> </region> <region region-id="45" left="24" top="638.25" width="69" height="12" align-x="39" align-y="648" show-border="true" show-highlight="true" 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"> <b>SHEAR CHECK</b> </p> </text> </region> <region region-id="47" left="30" top="682.5" width="57.75" height="10.5" align-x="52.5" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Vmax</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>0.5</ml:real> <ml:id xml:space="preserve">TL</ml:id> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="48" left="108" top="678" width="65.25" height="15" align-x="129.75" align-y="690" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Vmax</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>3450</ml:real> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="50" left="30" top="719.25" width="44.25" height="21.75" align-x="40.5" align-y="732" 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/math20"> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real font="0">3</ml:real> <ml:id xml:space="preserve">Vmax</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">b</ml:id> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="51" left="108" top="724.5" width="41.25" height="10.5" align-x="117.75" align-y="732" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fv</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>42.592592592592595</ml:real> </result> </ml:eval> </math> <rendering item-idref="30"/> </region> <region region-id="53" left="30" top="770.25" width="195" height="12" align-x="45" align-y="780" show-border="true" show-highlight="true" 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"> <b>SHEAR STRESS IS OK BECAUSE 43 < 190</b> </p> </text> </region> <region region-id="55" left="30" top="806.25" width="108.75" height="12" align-x="62.25" align-y="816" show-border="true" show-highlight="true" 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"> <b>COMPRESSION CHECK</b> </p> </text> </region> <region region-id="58" 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<ml:real>28.395061728395063</ml:real> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="61" left="30" top="890.25" width="192.75" height="12" align-x="62.25" align-y="900" show-border="true" show-highlight="true" 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"> <b>COMPRESSION IS OK BECAUSE 28 < 590</b> </p> </text> </region> <region region-id="258" left="18" top="939" width="37.5" height="253.5" align-x="26.25" align-y="1068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">x</ml:id> <ml:matrix rows="19" cols="1"> 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disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">A</ml:id> <ml:real>735</ml:real> </ml:define> </math> <rendering item-idref="54"/> </region> <region region-id="110" left="78" top="2524.5" width="36" height="10.5" align-x="84.75" align-y="2532" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">I</ml:id> <ml:real>220500</ml:real> </ml:define> </math> <rendering item-idref="55"/> </region> <region region-id="111" left="150" top="2524.5" width="30.75" height="10.5" align-x="159" align-y="2532" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">S</ml:id> <ml:real>7350</ml:real> </ml:define> </math> <rendering item-idref="56"/> </region> <region region-id="112" left="222" top="2524.5" width="33" height="10.5" align-x="231" align-y="2532" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">b</ml:id> <ml:real>12.25</ml:real> </ml:define> </math> <rendering item-idref="57"/> </region> <region region-id="113" left="294" top="2524.5" width="23.25" height="10.5" align-x="303" align-y="2532" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">h</ml:id> <ml:real>60</ml:real> </ml:define> </math> <rendering item-idref="58"/> </region> <region region-id="114" left="18" top="2560.5" width="42" height="10.5" align-x="27" align-y="2568" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">E</ml:id> <ml:real>1700000</ml:real> </ml:define> </math> <rendering item-idref="59"/> </region> <region region-id="115" left="78" top="2560.5" width="30.75" height="10.5" align-x="90.75" align-y="2568" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Fv</ml:id> <ml:real>190</ml:real> </ml:define> </math> <rendering item-idref="60"/> </region> <region region-id="116" left="150" top="2560.5" width="34.5" height="10.5" align-x="162.75" align-y="2568" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Fb</ml:id> <ml:real>2200</ml:real> </ml:define> </math> <rendering item-idref="61"/> </region> <region region-id="117" left="222" top="2560.5" width="30" height="10.5" align-x="234" align-y="2568" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Fc</ml:id> <ml:real>560</ml:real> </ml:define> </math> <rendering item-idref="62"/> </region> <region region-id="118" left="24" top="2590.5" width="33" height="10.5" align-x="33" align-y="2598" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>35</ml:real> <ml:real>12</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="63"/> </region> <region region-id="119" left="78" top="2590.5" width="30" height="10.5" align-x="86.25" align-y="2598" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">L</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>420</ml:real> </result> </ml:eval> </math> <rendering item-idref="64"/> </region> <region region-id="120" left="150" top="2585.25" width="39" height="21.75" align-x="164.25" align-y="2598" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">DL</ml:id> <ml:apply> <ml:div/> <ml:real>1000</ml:real> <ml:real>12</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="65"/> </region> <region region-id="121" left="222" top="2590.5" width="45" height="10.5" align-x="235.5" align-y="2598" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">DL</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>83.333333333333329</ml:real> </result> </ml:eval> </math> <rendering item-idref="66"/> </region> <region region-id="122" left="294" top="2585.25" width="34.5" height="21.75" align-x="307.5" align-y="2598" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">LL</ml:id> <ml:apply> <ml:div/> <ml:real>200</ml:real> <ml:real>12</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="67"/> </region> <region region-id="123" left="366" top="2590.5" width="44.25" height="10.5" align-x="378.75" align-y="2598" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">LL</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>16.666666666666668</ml:real> </result> </ml:eval> </math> <rendering item-idref="68"/> </region> <region region-id="124" left="24" top="2626.5" width="48.75" height="10.5" align-x="38.25" align-y="2634" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">TL</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">DL</ml:id> <ml:id xml:space="preserve">LL</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="69"/> </region> <region region-id="125" left="114" top="2626.5" width="35.25" height="10.5" align-x="127.5" align-y="2634" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">TL</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>100</ml:real> </result> </ml:eval> </math> <rendering item-idref="70"/> </region> <region region-id="126" left="24" top="2660.25" width="96.75" height="12" align-x="51.75" align-y="2670" show-border="true" show-highlight="true" 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"> <b>DEFLECTION CHECK</b> </p> </text> </region> <region region-id="127" left="24" top="2699.25" width="37.5" height="21.75" align-x="40.5" align-y="2712" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Δall</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">L</ml:id> <ml:real>240</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="71"/> </region> <region region-id="128" left="78" top="2704.5" width="39.75" height="10.5" align-x="93.75" align-y="2712" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Δall</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>1.75</ml:real> </result> </ml:eval> </math> <rendering item-idref="72"/> </region> <region region-id="129" left="24" top="2754.75" width="57.75" height="26.25" align-x="45.75" align-y="2772" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Δmax</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">TL</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">L</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>384</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="73"/> </region> <region region-id="130" left="114" top="2764.5" width="48.75" height="10.5" align-x="135" align-y="2772" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Δmax</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.10808823529411765</ml:real> </result> </ml:eval> </math> <rendering item-idref="74"/> </region> <region region-id="131" left="24" top="2804.25" width="197.25" height="12" align-x="51.75" align-y="2814" show-border="true" show-highlight="true" 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"> <b>DEFLECTION IS OK BECAUSE 0.108 < 1.75</b> </p> </text> </region> <region region-id="132" left="24" top="2840.25" width="79.5" height="12" align-x="43.5" align-y="2850" show-border="true" show-highlight="true" 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"> <b>BENDING CHECK</b> </p> </text> </region> <region region-id="133" left="24" top="2874.75" width="54" height="26.25" align-x="48" align-y="2892" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Mmax</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">TL</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">L</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>8</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="75"/> </region> <region region-id="134" left="114" top="2880" width="70.5" height="15" align-x="137.25" align-y="2892" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Mmax</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>2205000</ml:real> </result> </ml:eval> </math> <rendering item-idref="76"/> </region> <region region-id="135" left="24" top="2927.25" width="52.5" height="21.75" align-x="47.25" align-y="2940" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fbmax</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Mmax</ml:id> <ml:id xml:space="preserve">S</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="77"/> </region> <region region-id="136" left="114" top="2932.5" width="44.25" height="10.5" align-x="136.5" align-y="2940" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fbmax</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>300</ml:real> </result> </ml:eval> </math> <rendering item-idref="78"/> </region> <region region-id="137" left="30" top="2972.25" width="216" height="12" align-x="46.5" align-y="2982" show-border="true" show-highlight="true" 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"> <b>BENDING STRESS IS OK BECAUSE 300 < 2200</b> </p> </text> </region> <region region-id="138" left="30" top="3116.25" width="69" height="12" align-x="45" align-y="3126" show-border="true" show-highlight="true" 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"> <b>SHEAR CHECK</b> </p> </text> </region> <region region-id="139" left="36" top="3160.5" width="57.75" height="10.5" align-x="58.5" align-y="3168" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Vmax</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>0.5</ml:real> <ml:id xml:space="preserve">TL</ml:id> </ml:apply> <ml:id xml:space="preserve">L</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="79"/> </region> <region region-id="140" left="114" top="3156" width="61.5" height="15" align-x="135.75" align-y="3168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">Vmax</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>21000</ml:real> </result> </ml:eval> </math> <rendering item-idref="80"/> </region> <region region-id="141" left="36" top="3197.25" width="44.25" height="21.75" align-x="46.5" align-y="3210" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fv</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:real font="0">3</ml:real> <ml:id xml:space="preserve">Vmax</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">b</ml:id> </ml:apply> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="81"/> </region> <region region-id="142" left="114" top="3202.5" width="41.25" height="10.5" align-x="123.75" align-y="3210" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fv</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>42.857142857142854</ml:real> </result> </ml:eval> </math> <rendering item-idref="82"/> </region> <region region-id="143" left="36" top="3248.25" width="195" height="12" align-x="51" align-y="3258" show-border="true" show-highlight="true" 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"> <b>SHEAR STRESS IS OK BECAUSE 43 < 190</b> </p> </text> </region> <region region-id="144" left="36" top="3284.25" width="108.75" height="12" align-x="68.25" align-y="3294" show-border="true" show-highlight="true" 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"> <b>COMPRESSION CHECK</b> </p> </text> </region> <region region-id="145" left="36" top="3323.25" width="37.5" height="21.75" align-x="45.75" align-y="3336" 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="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fc</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Vmax</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">b</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="83"/> </region> <region region-id="146" left="114" top="3328.5" width="40.5" height="10.5" align-x="123" align-y="3336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">fc</ml:id> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>28.571428571428573</ml:real> </result> </ml:eval> </math> <rendering item-idref="84"/> </region> <region region-id="147" left="36" top="3368.25" width="192.75" height="12" align-x="68.25" align-y="3378" show-border="true" show-highlight="true" 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"> <b>COMPRESSION IS OK BECAUSE 29 < 560</b> </p> </text> </region> <region region-id="264" left="12" top="3417" width="47.25" height="253.5" align-x="20.25" align-y="3546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">x</ml:id> <ml:matrix rows="19" cols="1"> <ml:real>0</ml:real> <ml:real>23.33</ml:real> 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