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<content> <p style="font-family: Courier New;">Querkraft</p> </content> </text> <text lang="eng" fontFamily="Arial" fontSize="10"> <content> <p style="font-family: Courier New;">shear force</p> </content> </text> </region> <region left="0" top="882" width="217" height="41" color="#000000" fontSize="10"> <math optimize="0" decimalPlaces="4" significantDigitsMode="false"> <input> <e type="operand">x</e> <e type="function" args="1">M</e> <e type="operand">x</e> <e type="function" args="1">Q</e> <e type="operand">x</e> <e type="function" args="2">int</e> <e type="operand">c.2</e> <e type="operator" args="2">+</e> <e type="function" args="1">simp</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="252" top="918" width="500" height="38" color="#000000" fontSize="10"> <text lang="eng" fontFamily="Arial" fontSize="10"> <content> <p>ohne simp bleiben die Integrale in den Definitionen stehen und das scheitert dann beim zweimaligen Differenzieren.</p> </content> </text> </region> <region left="9" top="1080" width="406" height="38" color="#000000" fontSize="10" isBreakable="false"> <text lang="ger" fontFamily="Arial" fontSize="10"> <content> <p style="font-family: Courier New;">Randbedingungen zur Bestimmung der unbekannten Konstanten <br />(2 Reaktionskräfte und 4 Integrationskonstanten)</p> </content> </text> <text lang="eng" fontFamily="Arial" fontSize="10"> <content> <p style="font-family: Courier New;">boundary conditions to determine the unknowns<br />(2 support reactions and 4 integration constants)</p> </content> </text> </region> <region left="567" top="1125" width="126" height="23" color="#000000" fontSize="10" isBreakable="false"> <text lang="ger" fontFamily="Arial" fontSize="10"> <content> <p style="font-family: Courier New;">Biegemoment </p> </content> </text> <text lang="eng" fontFamily="Arial" fontSize="10"> <content> <p style="font-family: Courier New;">bending moment</p> </content> </text> </region> <region left="0" top="1170" 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type="operand">fill_color</e> <e type="operand" style="string">#ff000088</e> <e type="operator" args="2">≡</e> <e type="operand">key</e> <e type="operand" style="string">M in kNm</e> <e type="operator" args="2">≡</e> <e type="operand">x</e> <e type="function" args="1">M</e> <e type="operand" style="unit">kN</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">*</e> <e type="operator" args="2">/</e> <e type="operand">x</e> <e type="operand">0</e> <e type="operand" style="unit">L.0</e> <e type="function" args="4">explicit</e> <e type="operand">7</e> <e type="operand">1</e> <e type="function" args="9">sys</e> <e type="operand">1</e> <e type="operand">1</e> <e type="function" args="3">line</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="270" top="1908" width="259" height="63" color="#000000" fontSize="10"> <math> <input> <e type="operand">general</e> <e type="operand">xlabel</e> <e type="operand" style="string">x in m</e> <e type="operator" 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</imagefile> <input> <e type="operand">general</e> <e type="operand">QM</e> <e type="operand">Mmax</e> <e type="operand">3</e> <e type="operand">1</e> <e type="function" args="5">sys</e> <e type="operand">300</e> <e type="operand">200</e> <e type="operand">2</e> <e type="operand">1</e> <e type="function" args="4">sys</e> <e type="function" args="2">Draw2D</e> </input> </image> </region> <region left="0" top="3492" width="424" height="101" color="#000000" fontSize="10"> <plot type="2d" render="lines" scale_x="0.946064190105418" scale_y="12.593408111478" scale_z="2.85215815830237" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-167" transpose_y="-29" transpose_z="0"> <input> <e type="operand">x</e> <e type="operand" style="unit">L.0</e> <e type="operator" args="2">*</e> <e type="function" args="1">q</e> <e type="operand" style="unit">q.0</e> <e type="operator" args="2">/</e> <e type="operand">x</e> <e type="function" args="1">I</e> <e type="operator" args="2">*</e> </input> </plot> </region> <region left="468" top="3636" width="134" height="23" color="#000000" fontSize="10" isBreakable="false"> <text lang="ger" fontFamily="Arial" fontSize="10"> <content> <p style="font-family: Courier New;">Extremwerte:</p> </content> </text> <text lang="eng" fontFamily="Arial" fontSize="10"> <content> <p style="font-family: Courier New;">Extremal values</p> </content> </text> </region> <region left="0" top="3654" width="424" height="101" color="#000000" fontSize="10"> <plot type="2d" render="lines" scale_x="2.04845718328453" scale_y="12.593408111478" scale_z="6.17561041665368" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-165" transpose_y="4" transpose_z="0"> <input> <e type="operand">x</e> <e type="operand" style="unit">L.0</e> <e type="operator" args="2">*</e> <e type="function" args="1">Q</e> <e type="operand" style="unit">q.0</e> <e type="operand" style="unit">L.0</e> <e type="operator" args="2">*</e> <e type="operator" args="2">/</e> <e type="operand">x</e> <e type="function" args="1">I</e> <e type="operator" args="2">*</e> </input> </plot> </region> <region left="0" top="3816" width="424" height="101" color="#000000" fontSize="10"> <plot type="2d" render="lines" scale_x="12.3386525395344" scale_y="12.219371297159" scale_z="36.4578558966875" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-168" transpose_y="-6" transpose_z="0"> <input> <e type="operand">x</e> <e type="operand" style="unit">L.0</e> <e type="operator" args="2">*</e> <e type="function" args="1">M</e> <e type="operand" style="unit">q.0</e> <e type="operand" style="unit">L.0</e> <e type="operand">2</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operator" args="2">/</e> <e type="operand">x</e> <e type="function" args="1">I</e> <e type="operator" args="2">*</e> </input> </plot> </region> <region left="432" top="3825" width="144" height="32" color="#000000" fontSize="10"> <math decimalPlaces="4" significantDigitsMode="false"> <input> <e type="operand">x.0</e> <e type="function" args="1">M</e> </input> <result action="numeric"> <e type="operand">930.4879</e> <e type="operand" style="unit">J</e> <e type="operator" args="2">*</e> </result> </math> </region> </regions> </worksheet>

b02079fb-1075-4f3d-a2ef-e97939e95e0f 9 Martin Kraska 3 5 false true 0 0 decimal

&[DATE] &[TIME] - &[FILENAME]

A0202neu

restart MaximaControl Restart complete.

int MaximaTakeover int() handled by Maxima

A0202neu

x step 12 / 1 x sign + (* :

0 step 0.5

s# simp s# num2str str2num 11 line :

A0202neu

x q q.0 x x.1 - L.0 / step 259 / x x.1 - L.0 / * * 12 / + (* :

x.1 25 / L.0 * :

cmd filled_func 0 ≡ fill_color #0000ffaa ≡ x L.0 * q q.0 / x 01 explicit xlabel x/L ≡ ylabel q/q_0 ≡ 51 sys :

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 cmd 300 150 2 1 sys Draw2D

L.0 q Maxima 13 q.0 * 6 /

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terminal=pngcairo file_name="C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/gsycmkjo" font="Arial" font_size=8 title="" background_color="#fefefe" xaxis=true xaxis_type=solid xaxis_color=black xaxis_width=1 yaxis=true yaxis_type=solid yaxis_color=black yaxis_width=1 enhanced3d = true xu_grid=40 yv_grid=40 xlabel="x" ylabel="y" zlabel="z" zrange=[-5,5] "set term pngcairo enhanced size 300, 150" "set encoding utf8" "set style line 100 lc rgb 'black' lt -1 lw 0.1" "set grid xtics ls 100" "set grid ytics ls 100" "set pm3d lighting depthorder base" plot2D SAMPLE PLOT <titleState>Custom</titleState> <border>Disable</border> <borderVal>4095</borderVal> <textSize>8</textSize> <textSizeState>Disable</textSizeState> <textFont>Arial</textFont> <contour>Disable</contour> <contourType /> <contourLevels>5</contourLevels> <bgColor>#fefefe</bgColor> <enhanced3dState>Enable</enhanced3dState> <pm3d>Enable</pm3d> 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<xLogarithmic>Disable</xLogarithmic> <yLogarithmic>Disable</yLogarithmic> <zLogarithmic>Disable</zLogarithmic> <xLogBase>10</xLogBase> <yLogBase>10</yLogBase> <zLogBase>10</zLogBase> <azimuth>60</azimuth> <zenith>60</zenith> <scalAzimuth>1</scalAzimuth> <scalZenith>1</scalZenith> <view>Interactive</view> <mouseRedirecting>Disable</mouseRedirecting> <varNameMouseX>MouseX3</varNameMouseX> <varNameMouseY>MouseY3</varNameMouseY> <varNameMouseWheel>MouseW3</varNameMouseWheel> <viewRedirecting>Disable</viewRedirecting> <varNameAzimuth>Azimut3</varNameAzimuth> <varNameZenith>Zenit3</varNameZenith> <xRedirecting>Disable</xRedirecting> <varNameXmin>MinX3</varNameXmin> <varNameXmax>MaxX3</varNameXmax> <yRedirecting>Disable</yRedirecting> <varNameYmin>MinY3</varNameYmin> <varNameYmax>MaxY3</varNameYmax> <zRedirecting>Disable</zRedirecting> <varNameZmin>MinZ3</varNameZmin> <varNameZmax>MaxZ3</varNameZmax> <option>border=true;</option> <enablexAxis>true</enablexAxis> <enableyAxis>true</enableyAxis> 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type="operand">fill_color</e> <e type="operand" style="string">#ff000088</e> <e type="operator" args="2">≡</e> <e type="operand">key</e> <e type="operand" style="string">M in kNm</e> <e type="operator" args="2">≡</e> <e type="operand">x</e> <e type="function" args="1">M</e> <e type="operand" style="unit">kN</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">*</e> <e type="operator" args="2">/</e> <e type="operand">x</e> <e type="operand">0</e> <e type="operand" style="unit">L.0</e> <e type="function" args="4">explicit</e> <e type="operand">7</e> <e type="operand">1</e> <e type="function" args="9">sys</e> <e type="operand">1</e> <e type="operand">1</e> <e type="function" args="3">line</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="270" top="1908" width="259" height="63" color="#000000" fontSize="10"> <math> <input> <e type="operand">general</e> <e type="operand">xlabel</e> <e type="operand" style="string">x in m</e> <e type="operator" args="2">≡</e> <e type="operand">ylabel</e> <e type="operand" style="string">Q, M</e> <e type="operator" args="2">≡</e> <e type="operand">key_pos</e> <e type="operand">bottom_left</e> <e type="operator" args="2">≡</e> <e type="operand">3</e> <e type="operand">1</e> <e type="function" args="5">sys</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="261" top="1980" width="309" height="207" color="#000000" fontSize="10"> <image> <imagefile filename="byjotMFI.pdf" lenght="16439" width="299" height="199" option="border=true;" dataRenderXmlLength="0" renderExt=".pdf" OLDwidht="299" OLDheight="199" 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</imagefile> <input> <e type="operand">general</e> <e type="operand">QM</e> <e type="operand">Mmax</e> <e type="operand">3</e> <e type="operand">1</e> <e type="function" args="5">sys</e> <e type="operand">300</e> <e type="operand">200</e> <e type="operand">2</e> <e type="operand">1</e> <e type="function" args="4">sys</e> <e type="function" args="2">Draw2D</e> </input> </image> </region> <region left="0" top="3492" width="424" height="101" color="#000000" fontSize="10"> <plot type="2d" render="lines" scale_x="0.946064190105418" scale_y="12.593408111478" scale_z="2.85215815830237" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-167" transpose_y="-29" transpose_z="0"> <input> <e type="operand">x</e> <e type="operand" style="unit">L.0</e> <e type="operator" args="2">*</e> <e type="function" args="1">q</e> <e type="operand" style="unit">q.0</e> <e type="operator" args="2">/</e> <e type="operand">x</e> <e type="function" args="1">I</e> <e type="operator" args="2">*</e> </input> </plot> </region> <region left="468" top="3636" width="134" height="23" color="#000000" fontSize="10" isBreakable="false"> <text lang="ger" fontFamily="Arial" fontSize="10"> <content> <p style="font-family: Courier New;">Extremwerte:</p> </content> </text> <text lang="eng" fontFamily="Arial" fontSize="10"> <content> <p style="font-family: Courier New;">Extremal values</p> </content> </text> </region> <region left="0" top="3654" width="424" height="101" color="#000000" fontSize="10"> <plot type="2d" render="lines" scale_x="2.04845718328453" scale_y="12.593408111478" scale_z="6.17561041665368" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-165" transpose_y="4" transpose_z="0"> <input> <e type="operand">x</e> <e type="operand" style="unit">L.0</e> <e type="operator" args="2">*</e> <e type="function" args="1">Q</e> <e type="operand" style="unit">q.0</e> <e type="operand" style="unit">L.0</e> <e type="operator" args="2">*</e> <e type="operator" args="2">/</e> <e type="operand">x</e> <e type="function" args="1">I</e> <e type="operator" args="2">*</e> </input> </plot> </region> <region left="0" top="3816" width="424" height="101" color="#000000" fontSize="10"> <plot type="2d" render="lines" scale_x="12.3386525395344" scale_y="12.219371297159" scale_z="36.4578558966875" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-168" transpose_y="-6" transpose_z="0"> <input> <e type="operand">x</e> <e type="operand" style="unit">L.0</e> <e type="operator" args="2">*</e> <e type="function" args="1">M</e> <e type="operand" style="unit">q.0</e> <e type="operand" style="unit">L.0</e> <e type="operand">2</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operator" args="2">/</e> <e type="operand">x</e> <e type="function" args="1">I</e> <e type="operator" args="2">*</e> </input> </plot> </region> <region left="432" top="3825" width="144" height="32" color="#000000" fontSize="10"> <math decimalPlaces="4" significantDigitsMode="false"> <input> <e type="operand">x.0</e> <e type="function" args="1">M</e> </input> <result action="numeric"> <e type="operand">930.4879</e> <e type="operand" style="unit">J</e> <e type="operator" args="2">*</e> </result> </math> </region> </regions> </worksheet>