<description/> <author>Gabriel Vargas</author> <company/> <keywords/> <revisedBy>Blog do Birungueta</revisedBy> </userData> <identityInfo> <revision>1</revision> <documentID>CF40EE54-B0A0-43B1-ACDF-4EE2F17AE526</documentID> <versionID>880D9F81-768F-4EC2-9C85-57317CFEE43F</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"/> 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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="small" 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" 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fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="true" show-header-frame="true" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="841.5"> <margins left="56.63622" right="56.63622" top="341.7" bottom="56.63622"/> <header use-full-page-width="false"> <center>{\rtf1\ansi\ansicpg1252\deff0\deflang3082{\fonttbl{\f0\fswiss\fprq2\fcharset0 Arial;}{\f1\fnil\fprq14\fcharset0 Arial;}} {\colortbl ;\red0\green0\blue0;} \viewkind4\uc1\pard\qc\cf1\lang13322\f0\fs18 Blue Dolphin\par Access Trestle\par Pile Design\cf0\lang3082\f1\par }</center> <right>{\rtf1\ansi\ansicpg1252\deff0\deflang3082{\fonttbl{\f0\fswiss\fprq15\fcharset0 Arial;}{\f1\fswiss\fprq15 Arial;}{\f2\fnil\fprq14\fcharset0 Arial;}} \viewkind4\uc1\pard\qr\lang1034\f0\fs18 PROJECT N\'ba S2001-37\par DATE: 08-07-2015\lang1033\f1\par \lang1034\f0 CALCULATION: SIG\lang3082\f2\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="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="6065" 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="6002" left="552" top="14.25" width="99" height="12" align-x="552" align-y="24" 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"> Definition of Units </text> </region> <region region-id="6065" left="48" top="18.75" width="393" height="13.5" align-x="48" align-y="30" 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"> API-RP2A-WSD PILE DESIGN </text> </region> <region region-id="5306" left="18" top="32.25" width="60" height="12" align-x="18" align-y="42" 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"> Nomenclature </text> </region> <region region-id="6003" left="552" top="39" width="61.5" height="12.75" align-x="572.25" align-y="48" 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/math30"> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:mult/> <ml:real>10000</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="5307" left="18" top="56.25" width="143.25" height="36" align-x="18" align-y="66" 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"> Fy: Nominal Yield Stress Fb: Nominal Bending Stress Fc: Nominal Compressive Stress </text> </region> <region region-id="6054" left="198" top="56.25" width="98.25" height="24" align-x="198" align-y="66" 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"> M : Bending Moment P :<sp count="2"/>Axial compression </text> </region> <region region-id="6004" left="552" top="51" width="60" height="18.75" align-x="577.5" align-y="66" 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/math30"> <ml:id xml:space="preserve">MPa</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> <ml:id xml:space="preserve">Pa</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="6005" left="552" top="75" width="54" height="12.75" align-x="572.25" align-y="84" 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">KN</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="6053" left="18" top="104.25" width="97.5" height="12" align-x="28.5" align-y="114" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <sp count="3"/>Input - Yellow Cells </text> </region> <region region-id="3795" left="18" top="138.75" width="222.75" height="13.5" align-x="18" align-y="150" 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.) Pile Size (D=813mm t= 14mm)<sp count="2"/> </text> </region> <region region-id="3813" left="18" top="162.75" width="195.75" height="13.5" align-x="38.25" align-y="174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> 1.1.- Steel Properties </text> </region> <region region-id="3816" left="18" top="182.25" width="63" height="33.75" align-x="35.25" align-y="198" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Fy</ml:id> <ml:apply> <ml:mult/> <ml:real>3.52</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="6040" left="150" top="182.25" width="72" height="33.75" align-x="162.75" align-y="198" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">E</ml:id> <ml:apply> <ml:mult/> <ml:real>2039.43</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="6038" left="294" top="189" width="44.25" height="12.75" align-x="314.25" align-y="198" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">TA</ml:id> <ml:real>1.33</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="3757" left="18" top="228.75" width="171" height="13.5" align-x="38.25" align-y="240" 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"> 1.2.- Define Geometery </text> </region> <region region-id="2068" left="18" top="249" width="47.25" height="12.75" align-x="30" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>21.61</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region 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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">Di</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">De</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="3771" left="18" top="270.75" width="171" height="13.5" align-x="38.25" align-y="282" 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"> 1.3.- Geometric Propoerties </text> </region> <region region-id="6057" left="0" top="288" width="6008.25" align-x="0" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="74.25"> 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background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">I</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>183206.42074160554</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="14"/> </region> <region region-id="5147" left="198" top="297" width="81.75" height="18.75" align-x="208.5" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">S</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5181.1770571721017</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="15"/> </region> <region region-id="5148" left="294" top="297" width="82.5" height="18.75" align-x="305.25" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Z</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>6728.2820266666795</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="16"/> </region> <region region-id="5149" left="390" top="303" width="47.25" height="12.75" align-x="399.75" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">r</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">cm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>24.513318828751046</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="17"/> </region> <region region-id="5575" left="18" top="324.75" width="293.25" height="13.5" align-x="18" 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"> 1.4.- Compression - Elastic Local Buckling </text> </region> <region region-id="6022" left="102" top="345" width="36" height="12.75" align-x="118.5" align-y="354" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cx</ml:id> <ml:real>0.3</ml:real> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="6021" left="18" top="344.25" width="48.75" height="27.75" align-x="37.5" align-y="360" 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:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>50.51428571428572</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="19"/> </region> <region region-id="6058" left="0" top="372" width="6008.25" align-x="0" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="50.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="5475" bottom-lock-id="5476"> <region region-id="5497" left="18" top="8.25" width="90" height="27.75" align-x="38.25" align-y="24" 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">Fxe</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">Cx</ml:id> </ml:apply> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">De</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> </area> <rendering item-idref="20"/> </region> <region region-id="5578" left="18" top="380.25" width="72.75" height="33.75" align-x="36.75" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Fxe</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>24.223998868778281</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="21"/> </region> <region region-id="5685" left="420" top="386.25" width="52.5" height="12" align-x="423.75" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> (ec. 3.2.2-3) </text> </region> <region region-id="5580" left="18" top="420.75" width="296.25" height="13.5" align-x="18" align-y="432" 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"> 1.5.- Compression - Inelastic Local Buckling </text> </region> <region region-id="6013" left="0" top="438" width="6008.25" align-x="0" align-y="438" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="92.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="5500" bottom-lock-id="5544"> <region region-id="5540" left="18" top="8.25" width="256.5" height="65.25" align-x="38.25" align-y="24" 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">Fxc</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:id xml:space="preserve">Fy</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:sequence> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1.64</ml:real> <ml:apply> <ml:mult/> <ml:real>0.23</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>0.25</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> <ml:id xml:space="preserve">Fxe</ml:id> </ml:sequence> </ml:apply> </ml:ifThen> </ml:program> </ml:define> </math> </region> </area> <rendering item-idref="22"/> </region> <region region-id="5658" left="18" top="446.25" width="63.75" height="33.75" align-x="36.75" align-y="462" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Fxc</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.52</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="23"/> </region> <region region-id="5686" left="420" top="452.25" width="52.5" height="12" align-x="423.75" align-y="462" 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"> (ec. 3.2.2-4) </text> </region> <region region-id="6010" left="18" top="486.75" width="231.75" height="13.5" align-x="18" align-y="498" 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"> 1.6.- Compression - Global Buckling </text> </region> <region region-id="6012" left="24" top="513" width="33.75" height="12.75" align-x="38.25" align-y="522" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">K</ml:id> <ml:real>0.8</ml:real> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="6055" left="0" top="540" width="6008.25" align-x="0" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="230.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="6011" bottom-lock-id="4466"> <region region-id="5586" left="18" top="14.25" width="146.25" height="59.25" align-x="34.5" align-y="30" 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">Ff</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:id xml:space="preserve">Fy</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:sequence> <ml:id xml:space="preserve">Fxe</ml:id> <ml:id xml:space="preserve">Fxc</ml:id> </ml:sequence> </ml:apply> </ml:ifThen> </ml:program> </ml:define> </math> </region> <region region-id="5587" left="192" top="26.25" width="60" height="33.75" align-x="207" align-y="42" 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">Ff</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.52</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="4621" left="18" top="116.25" width="45.75" height="27.75" align-x="30.75" align-y="132" 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">λ</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">K</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:id xml:space="preserve">r</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="4624" left="72" top="104.25" width="90" height="39.75" align-x="89.25" align-y="132" 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">Cc</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:id xml:space="preserve">Ff</ml:id> </ml:apply> </ml:parens> <ml:real>0.5</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="4583" left="162" top="89.25" width="122.25" height="81.75" align-x="183" align-y="132" 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">Fa1</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">λ</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Cc</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Ff</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:real>5</ml:real> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">λ</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">Cc</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">λ</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Cc</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="4591" left="294" top="110.25" width="76.5" height="39.75" align-x="315" align-y="132" 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">Fa2</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>12</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>23</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">λ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="4615" left="390" top="123" width="100.5" height="29.25" align-x="406.5" align-y="132" 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">Fa</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">λ</ml:id> <ml:id xml:space="preserve">Cc</ml:id> </ml:apply> <ml:id xml:space="preserve">Fa1</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:greaterOrEqual/> <ml:id xml:space="preserve">λ</ml:id> <ml:id xml:space="preserve">Cc</ml:id> </ml:apply> <ml:id xml:space="preserve">Fa2</ml:id> </ml:ifThen> </ml:program> </ml:define> </math> </region> <region region-id="4633" left="162" top="182.25" width="69" height="33.75" align-x="181.5" align-y="198" 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">Fa1</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result 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xml:space="preserve">Fa2</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.1114299559868042</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> </area> <rendering item-idref="25"/> </region> <region region-id="5687" left="420" top="548.25" width="52.5" height="12" align-x="423.75" align-y="558" 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"> (ec. 3.2.2-1) </text> </region> <region region-id="6036" left="18" top="555" width="40.5" height="12.75" align-x="29.25" align-y="564" 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">λ</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>70.524926146366383</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" 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<ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>50.51428571428572</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4981" left="162" top="8.25" width="78.75" height="27.75" align-x="179.25" align-y="24" 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">α1</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>10340</ml:real> <ml:id 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</result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4955" left="162" top="81" width="65.25" height="12.75" align-x="183.75" 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/math30"> <ml:id xml:space="preserve">Fb1</ml:id> <ml:apply> <ml:mult/> <ml:real>0.75</ml:real> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="4956" left="360" top="80.25" width="65.25" height="33.75" align-x="380.25" align-y="96" 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">Fb1</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.64</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" 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width="69.75" height="33.75" align-x="380.25" align-y="132" 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">Fb2</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.4228015602678896</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4959" left="162" top="152.25" width="153" height="27.75" align-x="183.75" align-y="168" 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">Fb3</ml:id> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>0.72</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>0.58</ml:real> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">E</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="4960" left="360" top="158.25" width="69.75" height="33.75" align-x="380.25" align-y="174" 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">Fb3</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.3564005200892963</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4961" left="162" top="206.25" width="135.75" height="90.75" align-x="179.25" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Fb</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve">α1</ml:id> </ml:apply> <ml:id xml:space="preserve">Fb1</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">α1</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">α2</ml:id> </ml:apply> <ml:id xml:space="preserve">Fb2</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">α2</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:real>300</ml:real> </ml:apply> <ml:id xml:space="preserve">Fb3</ml:id> </ml:ifThen> </ml:program> </ml:define> </math> </region> <region region-id="4962" left="360" top="212.25" width="65.25" height="33.75" align-x="375.75" align-y="228" 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">Fb</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.4228015602678896</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> </area> <rendering item-idref="30"/> </region> <region region-id="2506" left="18" top="582.75" width="160.5" height="13.5" align-x="18" align-y="594" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> 1.7.- Flexion </text> </region> <region region-id="6025" left="420" top="608.25" width="52.5" height="12" align-x="423.75" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> (ec. 3.2.3-1) </text> </region> <region region-id="6026" left="24" top="608.25" width="65.25" height="33.75" align-x="39.75" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Fb</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.4228015602678896</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="31"/> </region> <region region-id="5137" left="516" top="614.25" width="52.5" height="27.75" align-x="534.75" align-y="630" 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:div/> <ml:id xml:space="preserve">Fb</ml:id> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.68829589780337774</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="32"/> </region> <region region-id="6027" left="18" top="648.75" width="273.75" height="13.5" align-x="18" align-y="660" 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"> 1.8.- Combined Bending and Compression </text> </region> <region region-id="6028" left="30" top="669" width="39" height="12.75" align-x="49.5" align-y="678" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cm</ml:id> <ml:real>0.6</ml:real> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="6029" left="114" top="669" width="60.75" height="12.75" align-x="126" align-y="678" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" 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>2490.79</ml:real> <ml:id xml:space="preserve">kN</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="6030" left="210" top="669" width="78.75" height="12.75" align-x="229.5" align-y="678" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Mx</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>-105.96</ml:real> <ml:id xml:space="preserve">kN</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="6031" left="306" top="669" width="75" height="12.75" align-x="327" align-y="678" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">fa</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.81695973271754474</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="5427" left="102" top="44.25" width="72.75" height="33.75" align-x="120" align-y="60" 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">fbx</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-0.20450951363131606</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> 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is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">FUa</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">fa</ml:id> <ml:id xml:space="preserve">Fa</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="5470" left="294" top="267" width="55.5" height="12.75" align-x="315.75" align-y="276" 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">FUa</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.55701719924397475</ml:real> </result> </ml:eval> </math> </region> <region region-id="5450" left="18" top="303" width="171" height="12.75" align-x="36.75" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">FU</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">FUa</ml:id> <ml:real>0.15</ml:real> </ml:apply> <ml:id xml:space="preserve">FU3</ml:id> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:sequence> <ml:id xml:space="preserve">FU1</ml:id> <ml:id xml:space="preserve">FU2</ml:id> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="5471" left="294" top="303" width="51" height="12.75" align-x="311.25" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="6010889B-342E-42E4-A55D-C5128523094B" version-id="6DA21066-F7CC-4440-9D51-17C9E45D3284" branch-id="00000000-0000-0000-0000-000000000000" revision-num="528787860" is-modified="true" region-id="0" href="C:\Users\gvargas\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.Outlook\4Q3IZVFL\AISC-ASD89-ORIGINAL (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="6010889B-342E-42E4-A55D-C5128523094B" version-id="6DA21066-F7CC-4440-9D51-17C9E45D3284" branch-id="00000000-0000-0000-0000-000000000000" revision-num="528793900" is-modified="true" region-id="0" href="C:\Users\gvargas\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.Outlook\4Q3IZVFL\AISC-ASD89-ORIGINAL (2).xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">501bced0ab285158a4694812d12b2ba2</contentHash> <ml:id xml:space="preserve">FU</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.80647231939173092</ml:real> </result> </ml:eval> </math> </region> </area> <rendering item-idref="37"/> </region> <region region-id="6007" left="420" top="686.25" width="175.5" height="36" align-x="423.75" align-y="696" 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"> (ec. 3.3.1-1) (ec. 3.3.1-2) (ec. 3.3.1-3) </text> </region> <region region-id="5136" left="18" top="705" width="51" height="12.75" align-x="35.25" align-y="714" show-border="true" show-highlight="true" 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">FU</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.80647231939173092</ml:real> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="5978" left="126" top="1374.75" width="225.75" height="13.5" align-x="126" align-y="1386" 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"> RESUMEN: Pilote D32, Eje A, Muelle </text> </region> <region region-id="5778" left="18" top="1398.75" width="152.25" height="13.5" align-x="38.25" align-y="1410" 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"> 1.1.- Propiedades del Acero </text> </region> <region region-id="5779" left="18" top="1418.25" width="60.75" height="33.75" align-x="33.75" align-y="1434" 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">Fy</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.52</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="39"/> </region> <region region-id="5780" left="102" top="1418.25" width="58.5" height="33.75" align-x="113.25" align-y="1434" 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">E</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2039.43</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="40"/> </region> <region region-id="5781" left="198" top="1425" width="48" height="12.75" align-x="216.75" align-y="1434" 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">TA</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1.33</ml:real> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="5782" left="18" top="1458.75" width="171" height="13.5" align-x="38.25" align-y="1470" 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"> 1.2.- Definiciones Geométricas </text> </region> <region region-id="5783" left="18" top="1485" width="52.5" height="12.75" align-x="28.5" align-y="1494" 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>21.61</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="42"/> </region> <region region-id="5860" left="102" top="1485" width="54" height="12.75" align-x="118.5" align-y="1494" 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">De</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>707.2</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="43"/> </region> <region region-id="5977" left="522" top="1497" width="41.25" height="12.75" align-x="530.25" align-y="1506" 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">t</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>14</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="5788" left="18" top="1506.75" width="171" height="13.5" align-x="38.25" align-y="1518" 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"> 1.3.- Propiedades Geométricas </text> </region> <region region-id="5868" left="18" top="1527" width="63.75" height="18.75" align-x="35.25" align-y="1542" 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">As</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>304.88528384558265</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="45"/> </region> <region region-id="5869" left="102" top="1527" width="79.5" height="18.75" align-x="110.25" align-y="1542" 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">I</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>183206.42074160554</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region region-id="5870" left="198" top="1527" width="81.75" height="18.75" align-x="208.5" align-y="1542" 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">S</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5181.1770571721017</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="5871" left="294" top="1527" width="82.5" height="18.75" align-x="305.25" align-y="1542" 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">Z</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>6728.2820266666795</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="5872" left="390" top="1533" width="47.25" height="12.75" align-x="399.75" align-y="1542" 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">r</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">cm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>24.513318828751046</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="49"/> </region> <region region-id="5794" left="18" top="1560.75" width="231.75" height="13.5" align-x="18" align-y="1572" 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"> 1.4.- Compresión - Pandeo Local Elástico </text> </region> <region region-id="5886" left="18" top="1580.25" width="48.75" height="27.75" align-x="37.5" align-y="1596" 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:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>50.51428571428572</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="50"/> </region> <region region-id="5887" left="102" top="1580.25" width="72.75" height="33.75" align-x="120.75" align-y="1596" 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">Fxe</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>24.223998868778281</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="51"/> </region> <region region-id="5888" left="420" top="1586.25" width="52.5" height="12" align-x="423.75" align-y="1596" 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"> (ec. 3.2.2-3) </text> </region> <region region-id="5799" left="18" top="1614.75" width="243" height="13.5" align-x="18" 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="true"> 1.5.- Compresión - Pandeo Local Inelástico </text> </region> <region region-id="5800" left="18" top="1634.25" width="63.75" height="33.75" align-x="36.75" align-y="1650" 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">Fxc</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.52</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="52"/> </region> <region region-id="5801" left="420" top="1640.25" width="52.5" height="12" align-x="423.75" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> (ec. 3.2.2-4) </text> </region> <region region-id="5802" left="18" top="1674.75" width="231.75" height="13.5" align-x="18" align-y="1686" 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"> 1.6.- Compresión - Pandeo Global </text> </region> <region region-id="5803" left="18" top="1695" width="37.5" height="12.75" align-x="30.75" align-y="1704" 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">K</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.8</ml:real> </result> </ml:eval> </math> <rendering item-idref="53"/> </region> <region region-id="5889" left="102" top="1695" width="40.5" height="12.75" align-x="113.25" align-y="1704" 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">λ</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>70.524926146366383</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="54"/> </region> <region region-id="5894" left="198" top="1695" width="49.5" height="12.75" align-x="213.75" align-y="1704" 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">Cc</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>106.94191101553915</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="55"/> </region> <region region-id="5895" left="294" top="1688.25" width="64.5" height="33.75" align-x="309" align-y="1704" 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">Fa</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.4666687740098212</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="56"/> </region> <region region-id="5900" left="420" top="1694.25" width="52.5" height="12" align-x="423.75" align-y="1704" 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"> (ec. 3.2.2-1) </text> </region> <region region-id="5808" left="18" top="1716.75" width="160.5" height="13.5" align-x="18" align-y="1728" 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"> 1.7.- Flexión </text> </region> <region region-id="5809" left="18" top="1736.25" width="65.25" height="33.75" align-x="33.75" align-y="1752" 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">Fb</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.4228015602678896</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="57"/> </region> <region region-id="5810" left="420" top="1748.25" width="52.5" height="12" align-x="423.75" 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="true"> (ec. 3.2.3-1) </text> </region> <region region-id="5811" left="18" top="1776.75" width="273.75" height="13.5" align-x="18" align-y="1788" 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"> 1.8.- Flexión y Compresión Combinados </text> </region> <region region-id="5812" left="18" top="1803" width="42.75" height="12.75" align-x="36" align-y="1812" 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">Cm</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.6</ml:real> </result> </ml:eval> </math> <rendering item-idref="58"/> </region> <region region-id="5813" left="102" top="1803" width="63.75" height="12.75" align-x="112.5" align-y="1812" 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> <ml:unitOverride> <ml:id xml:space="preserve">ton</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>249.079</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="59"/> </region> <region region-id="5814" left="198" top="1803" width="81.75" height="12.75" align-x="216" align-y="1812" 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">Mx</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ton</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-10.596</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="60"/> </region> <region region-id="5815" left="294" top="1803" width="78" height="12.75" align-x="313.5" align-y="1812" 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">My</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ton</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>75.751</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="61"/> </region> <region region-id="5934" left="420" top="1802.25" width="52.5" height="36" align-x="423.75" align-y="1812" 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"> (ec. 3.3.1-1) (ec. 3.3.1-2) (ec. 3.3.1-3) </text> </region> <region region-id="5926" left="294" top="1827" width="51" height="12.75" align-x="311.25" align-y="1836" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> 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save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="6065" 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="6002" left="552" top="14.25" width="99" height="12" align-x="552" align-y="24" 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"> Definition of Units </text> </region> <region region-id="6065" left="48" top="18.75" width="393" height="13.5" align-x="48" align-y="30" 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"> API-RP2A-WSD PILE DESIGN </text> </region> <region region-id="5306" left="18" top="32.25" width="60" height="12" align-x="18" align-y="42" 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"> Nomenclature </text> </region> <region region-id="6003" left="552" top="39" width="61.5" height="12.75" align-x="572.25" align-y="48" 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/math30"> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:mult/> <ml:real>10000</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="5307" left="18" top="56.25" width="143.25" height="36" align-x="18" align-y="66" 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"> Fy: Nominal Yield Stress Fb: Nominal Bending Stress Fc: Nominal Compressive Stress </text> </region> <region region-id="6054" left="198" top="56.25" width="98.25" height="24" align-x="198" align-y="66" 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"> M : Bending Moment P :<sp count="2"/>Axial compression </text> </region> <region region-id="6004" left="552" top="51" width="60" height="18.75" align-x="577.5" align-y="66" 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/math30"> <ml:id xml:space="preserve">MPa</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> <ml:id xml:space="preserve">Pa</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="6005" left="552" top="75" width="54" height="12.75" align-x="572.25" align-y="84" 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">KN</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="6053" left="18" top="104.25" width="97.5" height="12" align-x="28.5" align-y="114" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <sp count="3"/>Input - Yellow Cells </text> </region> <region region-id="3795" left="18" top="138.75" width="222.75" height="13.5" align-x="18" align-y="150" 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.) Pile Size (D=813mm t= 14mm)<sp count="2"/> </text> </region> <region region-id="3813" left="18" top="162.75" width="195.75" height="13.5" align-x="38.25" align-y="174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> 1.1.- Steel Properties </text> </region> <region region-id="3816" left="18" top="182.25" width="63" height="33.75" align-x="35.25" align-y="198" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Fy</ml:id> <ml:apply> <ml:mult/> <ml:real>3.52</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="6040" left="150" top="182.25" width="72" height="33.75" align-x="162.75" align-y="198" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">E</ml:id> <ml:apply> <ml:mult/> <ml:real>2039.43</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="6038" left="294" top="189" width="44.25" height="12.75" align-x="314.25" align-y="198" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">TA</ml:id> <ml:real>1.33</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="3757" left="18" top="228.75" width="171" height="13.5" align-x="38.25" align-y="240" 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"> 1.2.- Define Geometery </text> </region> <region region-id="2068" left="18" top="249" width="47.25" height="12.75" align-x="30" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>21.61</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="5170" left="102" top="249" width="37.5" height="12.75" align-x="113.25" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">c</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="6023" left="174" top="249" width="89.25" height="12.75" align-x="192" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">De</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:real>28</ml:real> <ml:real>2.54</ml:real> </ml:apply> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real font="0">2</ml:real> <ml:id xml:space="preserve">c</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="5191" left="294" top="249" width="60" height="12.75" align-x="303.75" align-y="258" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>1.6</ml:real> <ml:id xml:space="preserve">cm</ml:id> </ml:apply> <ml:id xml:space="preserve">c</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="5195" left="390" top="249" width="57.75" height="12.75" align-x="405.75" align-y="258" 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">Di</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">De</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="3771" left="18" top="270.75" width="171" height="13.5" align-x="38.25" align-y="282" 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"> 1.3.- Geometric Propoerties </text> </region> <region region-id="6057" left="0" top="288" width="6008.25" align-x="0" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="74.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="4436" bottom-lock-id="4437"> <region region-id="4443" left="18" top="14.25" width="94.5" height="33.75" align-x="36.75" align-y="36" 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">As</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">De</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Di</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>4</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="4444" left="120" top="14.25" width="85.5" height="33.75" align-x="129.75" align-y="36" 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">I</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">De</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Di</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>64</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="4445" left="216" top="20.25" width="48" height="42.75" align-x="228" align-y="36" 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/math30"> <ml:id xml:space="preserve">S</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">I</ml:id> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> </region> <region region-id="4455" left="312" top="14.25" width="72.75" height="33.75" align-x="324.75" align-y="36" 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">Z</ml:id> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">De</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Di</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:real>6</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="4456" left="408" top="18.75" width="41.25" height="29.25" align-x="419.25" align-y="36" 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">r</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">I</ml:id> <ml:id xml:space="preserve">As</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> </area> <rendering item-idref="12"/> </region> <region region-id="2446" left="18" top="297" width="63.75" height="18.75" align-x="35.25" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">As</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>304.88528384558265</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="13"/> </region> <region region-id="5146" left="102" top="297" width="79.5" height="18.75" align-x="110.25" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">I</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>183206.42074160554</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="14"/> </region> <region region-id="5147" left="198" top="297" width="81.75" height="18.75" align-x="208.5" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">S</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5181.1770571721017</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="15"/> </region> <region region-id="5148" left="294" top="297" width="82.5" height="18.75" align-x="305.25" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Z</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>6728.2820266666795</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="16"/> </region> <region region-id="5149" left="390" top="303" width="47.25" height="12.75" align-x="399.75" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">r</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">cm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>24.513318828751046</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="17"/> </region> <region region-id="5575" left="18" top="324.75" width="293.25" height="13.5" align-x="18" 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"> 1.4.- Compression - Elastic Local Buckling </text> </region> <region region-id="6022" left="102" top="345" width="36" height="12.75" align-x="118.5" align-y="354" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cx</ml:id> <ml:real>0.3</ml:real> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="6021" left="18" top="344.25" width="48.75" height="27.75" align-x="37.5" align-y="360" 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:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>50.51428571428572</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="19"/> </region> <region region-id="6058" left="0" top="372" width="6008.25" align-x="0" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="50.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="5475" bottom-lock-id="5476"> <region region-id="5497" left="18" top="8.25" width="90" height="27.75" align-x="38.25" align-y="24" 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">Fxe</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">Cx</ml:id> </ml:apply> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve">De</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> </area> <rendering item-idref="20"/> </region> <region region-id="5578" left="18" top="380.25" width="72.75" height="33.75" align-x="36.75" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Fxe</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>24.223998868778281</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="21"/> </region> <region region-id="5685" left="420" top="386.25" width="52.5" height="12" align-x="423.75" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> (ec. 3.2.2-3) </text> </region> <region region-id="5580" left="18" top="420.75" width="296.25" height="13.5" align-x="18" align-y="432" 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"> 1.5.- Compression - Inelastic Local Buckling </text> </region> <region region-id="6013" left="0" top="438" width="6008.25" align-x="0" align-y="438" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="92.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="5500" bottom-lock-id="5544"> <region region-id="5540" left="18" top="8.25" width="256.5" height="65.25" align-x="38.25" align-y="24" 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">Fxc</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:id xml:space="preserve">Fy</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:sequence> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1.64</ml:real> <ml:apply> <ml:mult/> <ml:real>0.23</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:parens> <ml:real>0.25</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> <ml:id xml:space="preserve">Fxe</ml:id> </ml:sequence> </ml:apply> </ml:ifThen> </ml:program> </ml:define> </math> </region> </area> <rendering item-idref="22"/> </region> <region region-id="5658" left="18" top="446.25" width="63.75" height="33.75" align-x="36.75" align-y="462" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Fxc</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.52</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="23"/> </region> <region region-id="5686" left="420" top="452.25" width="52.5" height="12" align-x="423.75" align-y="462" 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"> (ec. 3.2.2-4) </text> </region> <region region-id="6010" left="18" top="486.75" width="231.75" height="13.5" align-x="18" align-y="498" 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"> 1.6.- Compression - Global Buckling </text> </region> <region region-id="6012" left="24" top="513" width="33.75" height="12.75" align-x="38.25" align-y="522" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">K</ml:id> <ml:real>0.8</ml:real> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="6055" left="0" top="540" width="6008.25" align-x="0" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="230.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="6011" bottom-lock-id="4466"> <region region-id="5586" left="18" top="14.25" width="146.25" height="59.25" align-x="34.5" align-y="30" 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">Ff</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:id xml:space="preserve">Fy</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:sequence> <ml:id xml:space="preserve">Fxe</ml:id> <ml:id xml:space="preserve">Fxc</ml:id> </ml:sequence> </ml:apply> </ml:ifThen> </ml:program> </ml:define> </math> </region> <region region-id="5587" left="192" top="26.25" width="60" height="33.75" align-x="207" align-y="42" 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">Ff</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.52</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="4621" left="18" top="116.25" width="45.75" height="27.75" align-x="30.75" align-y="132" 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">λ</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">K</ml:id> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:id xml:space="preserve">r</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="4624" left="72" top="104.25" width="90" height="39.75" align-x="89.25" align-y="132" 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">Cc</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:id xml:space="preserve">Ff</ml:id> </ml:apply> </ml:parens> <ml:real>0.5</ml:real> </ml:apply> </ml:define> </math> </region> <region region-id="4583" left="162" top="89.25" width="122.25" height="81.75" align-x="183" align-y="132" 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">Fa1</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">λ</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Cc</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Ff</ml:id> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:real>5</ml:real> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">λ</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">Cc</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">λ</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Cc</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="4591" left="294" top="110.25" width="76.5" height="39.75" align-x="315" align-y="132" 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">Fa2</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>12</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>23</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">λ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="4615" left="390" top="123" width="100.5" height="29.25" align-x="406.5" align-y="132" 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">Fa</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">λ</ml:id> <ml:id xml:space="preserve">Cc</ml:id> </ml:apply> <ml:id xml:space="preserve">Fa1</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:greaterOrEqual/> <ml:id xml:space="preserve">λ</ml:id> <ml:id xml:space="preserve">Cc</ml:id> </ml:apply> <ml:id xml:space="preserve">Fa2</ml:id> </ml:ifThen> </ml:program> </ml:define> </math> </region> <region region-id="4633" left="162" top="182.25" width="69" height="33.75" align-x="181.5" align-y="198" 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">Fa1</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.4666687740098212</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4634" left="294" top="182.25" width="69" height="33.75" align-x="313.5" align-y="198" 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">Fa2</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.1114299559868042</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> </area> <rendering item-idref="25"/> </region> <region region-id="5687" left="420" top="548.25" width="52.5" height="12" align-x="423.75" align-y="558" 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"> (ec. 3.2.2-1) </text> </region> <region region-id="6036" left="18" top="555" width="40.5" height="12.75" align-x="29.25" align-y="564" 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">λ</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>70.524926146366383</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="26"/> </region> <region region-id="6035" left="102" top="555" width="49.5" height="12.75" align-x="117.75" align-y="564" 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">Cc</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>106.94191101553915</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="27"/> </region> <region region-id="6034" left="204" top="548.25" width="64.5" height="33.75" align-x="219" align-y="564" 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">Fa</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.4666687740098212</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="28"/> </region> <region region-id="6063" left="516" top="554.25" width="52.5" height="27.75" align-x="534.75" align-y="570" 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:div/> <ml:id xml:space="preserve">Fa</ml:id> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.41666726534369919</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="29"/> </region> <region region-id="6015" left="0" top="594" width="6008.25" align-x="0" align-y="594" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="314.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="4704" bottom-lock-id="4754"> <region region-id="2483" left="18" top="2.25" width="48.75" height="27.75" align-x="37.5" align-y="18" 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:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>50.51428571428572</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4981" left="162" top="8.25" width="78.75" height="27.75" align-x="179.25" align-y="24" 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">α1</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>10340</ml:real> <ml:id xml:space="preserve">MPa</ml:id> </ml:apply> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="5003" left="360" top="15" width="45" height="12.75" align-x="375.75" align-y="24" 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">α1</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>29.375</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4982" left="162" top="44.25" width="78.75" height="27.75" align-x="179.25" align-y="60" 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">α2</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>20680</ml:real> <ml:id xml:space="preserve">MPa</ml:id> </ml:apply> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="5004" left="360" top="51" width="45" height="12.75" align-x="375.75" align-y="60" 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">α2</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>58.75</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4955" left="162" top="81" width="65.25" height="12.75" align-x="183.75" 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/math30"> <ml:id xml:space="preserve">Fb1</ml:id> <ml:apply> <ml:mult/> <ml:real>0.75</ml:real> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="4956" left="360" top="80.25" width="65.25" height="33.75" align-x="380.25" align-y="96" 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">Fb1</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.64</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4957" left="162" top="110.25" width="153" height="27.75" align-x="183.75" align-y="126" 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">Fb2</ml:id> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>0.84</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>1.74</ml:real> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">E</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="4958" left="360" top="116.25" width="69.75" height="33.75" align-x="380.25" align-y="132" 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">Fb2</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.4228015602678896</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4959" left="162" top="152.25" width="153" height="27.75" align-x="183.75" align-y="168" 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">Fb3</ml:id> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>0.72</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>0.58</ml:real> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">E</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="4960" left="360" top="158.25" width="69.75" height="33.75" align-x="380.25" align-y="174" 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">Fb3</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.3564005200892963</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="4961" left="162" top="206.25" width="135.75" height="90.75" align-x="179.25" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Fb</ml:id> <ml:program> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve">α1</ml:id> </ml:apply> <ml:id xml:space="preserve">Fb1</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">α1</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">α2</ml:id> </ml:apply> <ml:id xml:space="preserve">Fb2</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:lessOrEqual/> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">α2</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:real>300</ml:real> </ml:apply> <ml:id xml:space="preserve">Fb3</ml:id> </ml:ifThen> </ml:program> </ml:define> </math> </region> <region region-id="4962" left="360" top="212.25" width="65.25" height="33.75" align-x="375.75" align-y="228" 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">Fb</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.4228015602678896</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> </area> <rendering item-idref="30"/> </region> <region region-id="2506" left="18" top="582.75" width="160.5" height="13.5" align-x="18" align-y="594" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> 1.7.- Flexion </text> </region> <region region-id="6025" left="420" top="608.25" width="52.5" height="12" align-x="423.75" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> (ec. 3.2.3-1) </text> </region> <region region-id="6026" left="24" top="608.25" width="65.25" height="33.75" align-x="39.75" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Fb</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.4228015602678896</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="31"/> </region> <region region-id="5137" left="516" top="614.25" width="52.5" height="27.75" align-x="534.75" align-y="630" 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:div/> <ml:id xml:space="preserve">Fb</ml:id> <ml:id xml:space="preserve">Fy</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.68829589780337774</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="32"/> </region> <region region-id="6027" left="18" top="648.75" width="273.75" height="13.5" align-x="18" align-y="660" 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"> 1.8.- Combined Bending and Compression </text> </region> <region region-id="6028" left="30" top="669" width="39" height="12.75" align-x="49.5" align-y="678" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Cm</ml:id> <ml:real>0.6</ml:real> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="6029" left="114" top="669" width="60.75" height="12.75" align-x="126" align-y="678" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" 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>2490.79</ml:real> <ml:id xml:space="preserve">kN</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="6030" left="210" top="669" width="78.75" height="12.75" align-x="229.5" align-y="678" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Mx</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>-105.96</ml:real> <ml:id xml:space="preserve">kN</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="6031" left="306" top="669" width="75" height="12.75" align-x="327" align-y="678" show-border="true" show-highlight="true" is-protected="true" z-order="0" background-color="#ff0" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">My</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>757.51</ml:real> <ml:id xml:space="preserve">kN</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="6060" left="0" top="684" width="6008.25" align-x="0" align-y="684" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="332.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="5084" bottom-lock-id="5134"> <region region-id="5388" left="18" top="8.25" width="38.25" height="27.75" align-x="33" align-y="24" 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">fa</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">As</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="5426" left="102" top="8.25" width="43.5" height="27.75" align-x="121.5" align-y="24" 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">fbx</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Mx</ml:id> <ml:id xml:space="preserve">S</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="5430" left="198" top="8.25" width="46.5" height="27.75" align-x="219" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">fa</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.81695973271754474</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> </region> <region region-id="5427" left="102" top="44.25" width="72.75" 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xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">501bced0ab285158a4694812d12b2ba2</contentHash> <ml:id xml:space="preserve">FU</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.80647231939173092</ml:real> </result> </ml:eval> </math> </region> </area> <rendering item-idref="37"/> </region> <region region-id="6007" left="420" top="686.25" width="175.5" height="36" align-x="423.75" align-y="696" 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"> (ec. 3.3.1-1) (ec. 3.3.1-2) (ec. 3.3.1-3) </text> </region> <region region-id="5136" left="18" top="705" width="51" height="12.75" align-x="35.25" align-y="714" show-border="true" show-highlight="true" 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">FU</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.80647231939173092</ml:real> </result> </ml:eval> </math> <rendering item-idref="38"/> </region> <region region-id="5978" left="126" top="1374.75" width="225.75" height="13.5" align-x="126" align-y="1386" 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"> RESUMEN: Pilote D32, Eje A, Muelle </text> </region> <region region-id="5778" left="18" top="1398.75" width="152.25" height="13.5" align-x="38.25" align-y="1410" 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"> 1.1.- Propiedades del Acero </text> </region> <region region-id="5779" left="18" 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imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="39"/> </region> <region region-id="5780" left="102" top="1418.25" width="58.5" height="33.75" align-x="113.25" align-y="1434" 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">E</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2039.43</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="40"/> </region> <region region-id="5781" left="198" top="1425" width="48" height="12.75" align-x="216.75" align-y="1434" 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">TA</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1.33</ml:real> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="5782" left="18" top="1458.75" width="171" height="13.5" align-x="38.25" align-y="1470" 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"> 1.2.- Definiciones Geométricas </text> </region> <region region-id="5783" left="18" top="1485" width="52.5" height="12.75" align-x="28.5" align-y="1494" 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>21.61</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="42"/> </region> <region region-id="5860" left="102" top="1485" width="54" height="12.75" align-x="118.5" align-y="1494" 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">De</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>707.2</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="43"/> </region> <region region-id="5977" left="522" top="1497" width="41.25" height="12.75" align-x="530.25" align-y="1506" 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">t</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>14</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="5788" left="18" top="1506.75" width="171" height="13.5" align-x="38.25" align-y="1518" 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"> 1.3.- Propiedades Geométricas </text> </region> <region region-id="5868" left="18" top="1527" width="63.75" height="18.75" align-x="35.25" align-y="1542" 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">As</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>304.88528384558265</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="45"/> </region> <region region-id="5869" left="102" top="1527" width="79.5" height="18.75" align-x="110.25" align-y="1542" 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">I</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>183206.42074160554</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region region-id="5870" left="198" top="1527" width="81.75" height="18.75" align-x="208.5" align-y="1542" 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">S</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5181.1770571721017</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="47"/> </region> <region region-id="5871" left="294" top="1527" width="82.5" height="18.75" align-x="305.25" align-y="1542" 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">Z</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>6728.2820266666795</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="5872" left="390" top="1533" width="47.25" height="12.75" align-x="399.75" align-y="1542" 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">r</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">cm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>24.513318828751046</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="49"/> </region> <region region-id="5794" left="18" top="1560.75" width="231.75" height="13.5" align-x="18" align-y="1572" 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"> 1.4.- Compresión - Pandeo Local Elástico </text> </region> <region region-id="5886" left="18" top="1580.25" width="48.75" height="27.75" align-x="37.5" align-y="1596" 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:div/> <ml:id xml:space="preserve">De</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>50.51428571428572</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="50"/> </region> <region region-id="5887" left="102" top="1580.25" width="72.75" height="33.75" align-x="120.75" align-y="1596" 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">Fxe</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>24.223998868778281</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="51"/> </region> <region region-id="5888" left="420" top="1586.25" width="52.5" height="12" align-x="423.75" align-y="1596" 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"> (ec. 3.2.2-3) </text> </region> <region region-id="5799" left="18" top="1614.75" width="243" height="13.5" align-x="18" 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="true"> 1.5.- Compresión - Pandeo Local Inelástico </text> </region> <region region-id="5800" left="18" top="1634.25" width="63.75" height="33.75" align-x="36.75" align-y="1650" 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">Fxc</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.52</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="52"/> </region> <region region-id="5801" left="420" top="1640.25" width="52.5" height="12" align-x="423.75" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> (ec. 3.2.2-4) </text> </region> <region region-id="5802" left="18" top="1674.75" width="231.75" height="13.5" align-x="18" align-y="1686" 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"> 1.6.- Compresión - Pandeo Global </text> </region> <region region-id="5803" left="18" top="1695" width="37.5" height="12.75" align-x="30.75" align-y="1704" 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">K</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.8</ml:real> </result> </ml:eval> </math> <rendering item-idref="53"/> </region> <region region-id="5889" left="102" top="1695" width="40.5" height="12.75" align-x="113.25" align-y="1704" 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">λ</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>70.524926146366383</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="54"/> </region> <region region-id="5894" left="198" top="1695" width="49.5" height="12.75" align-x="213.75" align-y="1704" 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">Cc</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>106.94191101553915</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="1" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="55"/> </region> <region region-id="5895" left="294" top="1688.25" width="64.5" height="33.75" align-x="309" align-y="1704" 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">Fa</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.4666687740098212</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="56"/> </region> <region region-id="5900" left="420" top="1694.25" width="52.5" height="12" align-x="423.75" align-y="1704" 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"> (ec. 3.2.2-1) </text> </region> <region region-id="5808" left="18" top="1716.75" width="160.5" height="13.5" align-x="18" align-y="1728" 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"> 1.7.- Flexión </text> </region> <region region-id="5809" left="18" top="1736.25" width="65.25" height="33.75" align-x="33.75" align-y="1752" 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">Fb</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ton</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.4228015602678896</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-2"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="57"/> </region> <region region-id="5810" left="420" top="1748.25" width="52.5" height="12" align-x="423.75" 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="true"> (ec. 3.2.3-1) </text> </region> <region region-id="5811" left="18" top="1776.75" width="273.75" height="13.5" align-x="18" align-y="1788" 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"> 1.8.- Flexión y Compresión Combinados </text> </region> <region region-id="5812" left="18" top="1803" width="42.75" height="12.75" align-x="36" align-y="1812" 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">Cm</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.6</ml:real> </result> </ml:eval> </math> <rendering item-idref="58"/> </region> <region region-id="5813" left="102" top="1803" width="63.75" height="12.75" align-x="112.5" align-y="1812" 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> <ml:unitOverride> <ml:id xml:space="preserve">ton</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>249.079</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="59"/> </region> <region region-id="5814" left="198" top="1803" width="81.75" height="12.75" align-x="216" align-y="1812" 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">Mx</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ton</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-10.596</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="ton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="60"/> </region> <region region-id="5815" left="294" top="1803" width="78" height="12.75" align-x="313.5" align-y="1812" 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">My</ml:id> <ml:unitOverride> 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