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subscript="x">M</ml:id> <ml:id xml:space="preserve" subscript="x">W</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="2278" left="180" top="225.6" width="252.6" height="10.8" align-x="180" align-y="234" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Изгибное напряжение. Положительное сверху</c> </f> </text> </region> <region region-id="2092" left="6" top="255.6" width="464.4" height="10.8" align-x="6" align-y="264" 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"> ______________________________________________________________________________________ </text> </region> <region region-id="2119" left="6" top="273.6" width="114" height="95.4" align-x="18.6" align-y="324" 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">S</ml:id> <ml:matrix rows="3" cols="1"> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">τ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">τ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:matrix> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="2296" left="234" top="315.6" width="190.2" height="21.6" align-x="234" align-y="324" 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"> Точки на ближней и дальней образующих. Упрощенно-плоское НС </text> </region> <region region-id="2289" left="6" top="375" width="80.4" height="12.6" align-x="19.8" align-y="384" 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">σ</ml:id> <ml:apply> <ml:id xml:space="preserve">MainStress</ml:id> <ml:id xml:space="preserve">S</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="2292" left="132" top="358.2" width="91.8" height="46.2" align-x="144.6" align-y="384" 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">σ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="3" cols="1"> <ml:real>32.946252062813919</ml:real> <ml:real>0</ml:real> <ml:real>-11.071252062813919</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="2297" left="234" top="375.6" width="140.4" height="10.8" align-x="234" align-y="384" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Главные напряжения</c> </f> </text> </region> <region region-id="2301" left="6" top="405" width="107.4" height="16.2" align-x="58.8" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve" subscript="eqTCB">σ</ml:id> <ml:id xml:space="preserve">σ</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>44.017504125627838</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="2302" left="234" top="405.6" width="140.4" height="10.8" align-x="234" align-y="414" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Эквивалентное напряжение</c> </f> </text> </region> <region region-id="2141" left="6" top="429.6" width="464.4" height="10.8" align-x="6" align-y="438" 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"> ______________________________________________________________________________________ </text> </region> <region region-id="2149" left="6" top="447.6" width="248.4" height="10.8" align-x="6" align-y="456" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Точка А - сверху. </c> </f> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Оба напряжения - растягивающие</c> </f> </text> </region> <region region-id="1804" left="6" top="465" width="60" height="16.2" align-x="23.4" align-y="474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="z">σ</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:id xml:space="preserve" subscript="x">σ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="1979" left="6" top="492.6" width="72" height="53.4" align-x="19.8" align-y="522" 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">T</ml:id> <ml:matrix rows="3" cols="3"> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:id xml:space="preserve" subscript="t">σ</ml:id> <ml:id xml:space="preserve">τ</ml:id> <ml:real>0</ml:real> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve" subscript="z">σ</ml:id> </ml:matrix> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="1980" left="84" top="496.2" width="130.8" height="46.2" align-x="96.6" align-y="522" 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">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="3" cols="3"> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>43.75</ml:real> <ml:real>19.098593171027442</ml:real> <ml:real>0</ml:real> <ml:real>19.098593171027442</ml:real> <ml:real>66.438384065730688</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="2155" left="252" top="513.6" width="109.8" height="10.8" align-x="252" align-y="522" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Тензор напряжений</c> </f> </text> </region> <region region-id="1902" left="6" top="555" width="95.4" height="16.2" align-x="36" 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:apply> <ml:id xml:space="preserve" subscript="1">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>110.18838406573069</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="1981" left="120" top="550.2" width="104.4" height="21" align-x="150" 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:apply> <ml:id xml:space="preserve" subscript="2">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">MPa</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2541.9230417633016</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="29"/> </region> <region region-id="2156" left="252" top="561.6" width="65.4" height="10.8" align-x="252" align-y="570" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Инварианты:</c> </f> </text> </region> <region region-id="2144" left="6" top="574.2" width="79.2" height="19.2" align-x="72.6" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">s</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">J</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">J</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="30"/> </region> <region region-id="2157" left="252" top="579.6" width="158.4" height="10.8" align-x="252" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Квадратное уравнение</c> </f> </text> </region> <region region-id="1984" left="6" top="598.2" width="122.4" height="21" align-x="34.8" align-y="612" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">D</ml:id> <ml:boundVars> <ml:id xml:space="preserve">T</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve" subscript="1">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="2">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="2148" left="138" top="598.2" width="102" height="17.4" align-x="165.6" align-y="612" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">MPa</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1973.787815963768</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="2158" left="252" top="603.6" width="97.2" height="10.8" align-x="252" align-y="612" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Дискриминант</c> </f> </text> </region> <region region-id="2166" left="6" top="652.8" width="69" height="30.6" align-x="28.8" align-y="672" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">s</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply fixity="infix"> <ml:id xml:space="preserve">±</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">J</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:sqrt/> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="33"/> </region> <region region-id="2167" left="96" top="626.4" width="112.2" height="85.8" align-x="121.2" align-y="672" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">s</ml:id> <ml:boundVars> <ml:id xml:space="preserve">T</ml:id> </ml:boundVars> </ml:function> <ml:matrix rows="3" cols="1"> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:id xml:space="preserve" subscript="1">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="1">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:real>0</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="2168" left="252" top="663.6" width="27" height="10.8" align-x="252" align-y="672" 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"> Корни </text> </region> <region region-id="2181" left="6" top="735" width="93" height="12.6" align-x="19.8" align-y="744" 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">σ</ml:id> <ml:apply> <ml:id xml:space="preserve">MainStress</ml:id> <ml:apply> <ml:id xml:space="preserve">s</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="2182" left="114" top="718.2" width="86.4" height="46.2" align-x="126.6" align-y="744" 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">σ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="3" cols="1"> <ml:real>77.307857961544073</ml:real> <ml:real>32.880526104186622</ml:real> <ml:real>0</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> 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xml:space="preserve">σ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="2202" left="6" top="771" width="87" height="16.2" align-x="36.6" align-y="780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="TCB">σ</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="eqTCB">σ</ml:id> <ml:id xml:space="preserve">σ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="2201" left="102" top="771" width="90" height="16.2" align-x="131.4" align-y="780" 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"> 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tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Тензор напряжений</c> </f> </text> </region> <region region-id="2018" left="6" top="852.6" width="72" height="53.4" align-x="19.8" align-y="882" 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">T</ml:id> <ml:matrix rows="3" cols="3"> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:id xml:space="preserve" subscript="t">σ</ml:id> <ml:id xml:space="preserve">τ</ml:id> <ml:real>0</ml:real> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve" subscript="z">σ</ml:id> </ml:matrix> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="2019" left="90" top="856.2" width="136.2" height="46.2" 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family="Arial CYR" charset="204" size="10"> <c val="#00f">Касательное напряжение</c> </f> </text> </region> <region region-id="2132" left="522" top="195" width="96" height="16.2" align-x="576.6" align-y="204" show-border="true" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="eqTCB">σ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">σ</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">σ</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">σ</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="2133" left="522" top="212.4" width="243" height="28.8" align-x="574.2" align-y="228" show-border="true" 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<ml:apply> <ml:indexer/> <ml:id xml:space="preserve">σ</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">σ</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">σ</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="2106" left="6" top="214.8" width="41.4" height="34.2" align-x="23.4" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="x">σ</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="x">M</ml:id> <ml:id xml:space="preserve" subscript="x">W</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="2278" left="180" top="225.6" width="252.6" height="10.8" align-x="180" align-y="234" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Изгибное напряжение. Положительное сверху</c> </f> </text> </region> <region region-id="2092" left="6" top="255.6" width="464.4" height="10.8" align-x="6" align-y="264" 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"> ______________________________________________________________________________________ </text> </region> <region region-id="2119" left="6" top="273.6" width="114" height="95.4" align-x="18.6" align-y="324" 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">S</ml:id> <ml:matrix rows="3" cols="1"> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">τ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">τ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:matrix> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="2296" left="234" top="315.6" width="190.2" height="21.6" align-x="234" align-y="324" 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"> Точки на ближней и дальней образующих. Упрощенно-плоское НС </text> </region> <region region-id="2289" left="6" top="375" width="80.4" height="12.6" align-x="19.8" align-y="384" 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">σ</ml:id> <ml:apply> <ml:id xml:space="preserve">MainStress</ml:id> <ml:id xml:space="preserve">S</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="2292" left="132" top="358.2" width="91.8" height="46.2" align-x="144.6" align-y="384" 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">σ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="3" cols="1"> <ml:real>32.946252062813919</ml:real> <ml:real>0</ml:real> <ml:real>-11.071252062813919</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="2297" left="234" top="375.6" width="140.4" height="10.8" align-x="234" align-y="384" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Главные напряжения</c> </f> </text> </region> <region region-id="2301" left="6" top="405" width="107.4" height="16.2" align-x="58.8" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve" subscript="eqTCB">σ</ml:id> <ml:id xml:space="preserve">σ</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>44.017504125627838</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="2302" left="234" top="405.6" width="140.4" height="10.8" align-x="234" align-y="414" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Эквивалентное напряжение</c> </f> </text> </region> <region region-id="2141" left="6" top="429.6" width="464.4" height="10.8" align-x="6" align-y="438" 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"> ______________________________________________________________________________________ </text> </region> <region region-id="2149" left="6" top="447.6" width="248.4" height="10.8" align-x="6" align-y="456" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Точка А - сверху. </c> </f> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Оба напряжения - растягивающие</c> </f> </text> </region> <region region-id="1804" left="6" top="465" width="60" height="16.2" align-x="23.4" align-y="474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="z">σ</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:id xml:space="preserve" subscript="x">σ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="1979" left="6" top="492.6" width="72" height="53.4" align-x="19.8" align-y="522" 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">T</ml:id> <ml:matrix rows="3" cols="3"> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:id xml:space="preserve" subscript="t">σ</ml:id> <ml:id xml:space="preserve">τ</ml:id> <ml:real>0</ml:real> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve" subscript="z">σ</ml:id> </ml:matrix> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="1980" left="84" top="496.2" width="130.8" height="46.2" align-x="96.6" align-y="522" 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">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="3" cols="3"> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>43.75</ml:real> <ml:real>19.098593171027442</ml:real> <ml:real>0</ml:real> <ml:real>19.098593171027442</ml:real> <ml:real>66.438384065730688</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="2155" left="252" top="513.6" width="109.8" height="10.8" align-x="252" align-y="522" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Тензор напряжений</c> </f> </text> </region> <region region-id="1902" left="6" top="555" width="95.4" height="16.2" align-x="36" 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:apply> <ml:id xml:space="preserve" subscript="1">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>110.18838406573069</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="1981" left="120" top="550.2" width="104.4" height="21" align-x="150" 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:apply> <ml:id xml:space="preserve" subscript="2">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">MPa</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2541.9230417633016</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="29"/> </region> <region region-id="2156" left="252" top="561.6" width="65.4" height="10.8" align-x="252" align-y="570" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Инварианты:</c> </f> </text> </region> <region region-id="2144" left="6" top="574.2" width="79.2" height="19.2" align-x="72.6" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">s</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">J</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">J</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="30"/> </region> <region region-id="2157" left="252" top="579.6" width="158.4" height="10.8" align-x="252" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Квадратное уравнение</c> </f> </text> </region> <region region-id="1984" left="6" top="598.2" width="122.4" height="21" align-x="34.8" align-y="612" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">D</ml:id> <ml:boundVars> <ml:id xml:space="preserve">T</ml:id> </ml:boundVars> </ml:function> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve" subscript="1">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="2">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="2148" left="138" top="598.2" width="102" height="17.4" align-x="165.6" align-y="612" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">MPa</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1973.787815963768</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="2158" left="252" top="603.6" width="97.2" height="10.8" align-x="252" align-y="612" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Дискриминант</c> </f> </text> </region> <region region-id="2166" left="6" top="652.8" width="69" height="30.6" align-x="28.8" align-y="672" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">s</ml:id> <ml:sequence> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply fixity="infix"> <ml:id xml:space="preserve">±</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">J</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:sqrt/> <ml:id xml:space="preserve">D</ml:id> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> <rendering item-idref="33"/> </region> <region region-id="2167" left="96" top="626.4" width="112.2" height="85.8" align-x="121.2" align-y="672" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">s</ml:id> <ml:boundVars> <ml:id xml:space="preserve">T</ml:id> </ml:boundVars> </ml:function> <ml:matrix rows="3" cols="1"> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:id xml:space="preserve" subscript="1">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve" subscript="1">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:real>0</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="2168" left="252" top="663.6" width="27" height="10.8" align-x="252" align-y="672" 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"> Корни </text> </region> <region region-id="2181" left="6" top="735" width="93" height="12.6" align-x="19.8" align-y="744" 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">σ</ml:id> <ml:apply> <ml:id xml:space="preserve">MainStress</ml:id> <ml:apply> <ml:id xml:space="preserve">s</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="2182" left="114" top="718.2" width="86.4" height="46.2" align-x="126.6" align-y="744" 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">σ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="3" cols="1"> <ml:real>77.307857961544073</ml:real> <ml:real>32.880526104186622</ml:real> <ml:real>0</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> 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xml:space="preserve">σ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="2202" left="6" top="771" width="87" height="16.2" align-x="36.6" align-y="780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="TCB">σ</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="eqTCB">σ</ml:id> <ml:id xml:space="preserve">σ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="2201" left="102" top="771" width="90" height="16.2" align-x="131.4" align-y="780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="TCB">σ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>77.307857961544073</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="2200" left="252" top="771.6" width="140.4" height="10.8" align-x="252" align-y="780" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Эквивалентное напряжение</c> </f> </text> </region> <region region-id="2199" left="408" top="771" width="72.6" height="16.2" align-x="448.2" align-y="780" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">EqTCB</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="TCB">σ</ml:id> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="2013" left="6" top="795.6" width="464.4" height="10.8" align-x="6" align-y="804" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> ______________________________________________________________________________________ </text> </region> <region region-id="2203" left="6" top="813.6" width="276.6" height="10.8" align-x="6" align-y="822" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Точка B - снизу. </c> </f> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Изгибное напряжение - сжимающее</c> </f> </text> </region> <region region-id="2014" left="6" top="831" width="60" height="16.2" align-x="23.4" align-y="840" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="z">σ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="m">σ</ml:id> <ml:id xml:space="preserve" subscript="x">σ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="2228" left="240" top="867.6" width="154.2" height="10.8" align-x="240" align-y="876" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Тензор напряжений</c> </f> </text> </region> <region region-id="2018" left="6" top="852.6" width="72" height="53.4" align-x="19.8" align-y="882" 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">T</ml:id> <ml:matrix rows="3" cols="3"> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:id xml:space="preserve" subscript="t">σ</ml:id> <ml:id xml:space="preserve">τ</ml:id> <ml:real>0</ml:real> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve" subscript="z">σ</ml:id> </ml:matrix> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="2019" left="90" top="856.2" width="136.2" height="46.2" align-x="102.6" align-y="882" 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">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="3" cols="3"> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>0</ml:real> <ml:real>43.75</ml:real> <ml:real>19.098593171027442</ml:real> <ml:real>0</ml:real> <ml:real>19.098593171027442</ml:real> <ml:real>-22.688384065730691</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="43"/> </region> <region region-id="2210" left="6" top="915" width="84.6" height="16.2" align-x="36" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve" subscript="1">J</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>21.061615934269309</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="44"/> </region> <region region-id="2211" left="108" top="910.2" width="103.8" height="21" align-x="138" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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charset="204" size="10"> <c val="#00f">Инварианты:</c> </f> </text> </region> <region region-id="2213" left="6" top="940.2" width="102" height="17.4" align-x="33.6" align-y="954" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">D</ml:id> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">MPa</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5873.0839217152025</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region 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width="91.8" height="46.2" align-x="126.6" align-y="990" 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">σ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="3" cols="1"> <ml:real>48.848832191105288</ml:real> <ml:real>0</ml:real> <ml:real>-27.787216256835983</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="2308" left="240" top="981.6" width="114" height="10.8" align-x="240" align-y="990" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Главные напряжения</c> </f> </text> </region> <region region-id="2246" left="408" top="1005" width="91.8" height="16.2" align-x="445.8" align-y="1014" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">EqXM</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="eqXM">σ</ml:id> <ml:id xml:space="preserve">σ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="2247" left="6" top="1023" width="87" height="16.2" align-x="36.6" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="TCB">σ</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="eqTCB">σ</ml:id> <ml:id xml:space="preserve">σ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="50"/> </region> <region region-id="2248" left="102" top="1023" width="90" height="16.2" align-x="131.4" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="TCB">σ</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>76.636048447941278</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="51"/> </region> <region region-id="2249" left="240" top="1023.6" width="140.4" height="10.8" align-x="240" align-y="1032" 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"> <f family="Arial CYR" charset="204" size="10"> <c val="#00f">Эквивалентное напряжение</c> </f> </text> </region> <region region-id="2250" left="408" top="1023" width="72.6" height="16.2" align-x="448.2" align-y="1032" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">EqTCB</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="TCB">σ</ml:id> </ml:define> </math> <rendering item-idref="52"/> </region> <region region-id="2257" left="6" top="1044.6" width="108.6" height="29.4" align-x="40.8" align-y="1062" 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">EqTCB</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">MPa</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:matrix rows="2" cols="1"> <ml:real>77.307857961544073</ml:real> <ml:real>76.636048447941278</ml:real> </ml:matrix> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="megapascal"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="53"/> </region> <region region-id="2258" left="240" top="1053.6" width="226.8" height="10.8" align-x="240" align-y="1062" 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"> Итоги: эквивалентные напряжения в обеих точках </text> </region> <region region-id="2261" left="6" top="1080.6" width="144" height="30.6" align-x="111.6" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:absval/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">EqTCB</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">EqTCB</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">EqTCB</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">EqTCB</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">%</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.87279779923968359</ml:real> </result> </ml:eval> </math> <rendering item-idref="54"/> </region> <region region-id="2262" left="240" top="1089.6" width="37.8" height="10.8" align-x="240" align-y="1098" 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"> Разница </text> </region> <region region-id="2266" left="6" top="1116.6" width="106.2" height="29.4" align-x="38.4" align-y="1134" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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