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<yNameS>Enable</yNameS> <zNameS>Enable</zNameS> <xMinRange>-5</xMinRange> <xMaxRange>5</xMaxRange> <yMinRange>0</yMinRange> <yMaxRange>200</yMaxRange> <zMinRange>-5</zMinRange> <zMaxRange>5</zMaxRange> <xRangeS>Disable</xRangeS> <yRangeS>Custom</yRangeS> <zRangeS>Interactive</zRangeS> <xGrid>Enable</xGrid> <yGrid>Enable</yGrid> <zGrid>Disable</zGrid> <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>MouseX1</varNameMouseX> <varNameMouseY>MouseY1</varNameMouseY> <varNameMouseWheel>MouseW1</varNameMouseWheel> <viewRedirecting>Disable</viewRedirecting> <varNameAzimuth>Azimut1</varNameAzimuth> <varNameZenith>Zenit1</varNameZenith> <xRedirecting>Disable</xRedirecting> <varNameXmin>MinX1</varNameXmin> <varNameXmax>MaxX1</varNameXmax> <yRedirecting>Disable</yRedirecting> <varNameYmin>MinY1</varNameYmin> <varNameYmax>MaxY1</varNameYmax> <zRedirecting>Disable</zRedirecting> <varNameZmin>MinZ1</varNameZmin> <varNameZmax>MaxZ1</varNameZmax> <option>border=true;</option> <enablexAxis>true</enablexAxis> <enableyAxis>true</enableyAxis> <enablezAxis>false</enablezAxis> <customPalatte>Enable</customPalatte> <propAxes>Disable</propAxes> </PlotStore> </plotstore> <input> <e type="operand">gr</e> <e type="operand">ix</e> <e type="operand">2</e> <e type="function" args="3">el</e> <e type="operand">x</e> <e type="operand">0</e> <e type="operand">600</e> <e type="function" args="4">explicit</e> </input> </maximaplugin> </region> <region left="72" top="1872" width="296" height="68" color="#000000" fontSize="10"> <text lang="eng" width="282" fontFamily="Arial" fontSize="10"> <content> <p>If Maxima is given vib instead of the original expression, an arithmetic overflow occures and Maxima crashes with side effects to SMath GUI.</p> </content> </text> </region> <region left="27" top="2259" width="84" height="24" color="#000000" fontSize="10"> <math> <input> <e type="operand">Maximalog</e> </input> </math> </region> </regions> </worksheet>

710c0a3c-2753-46d7-9ea3-e437fb796717 40 Prmtv 3 5 false true 0 7 decimal

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

h, толщина стенки цилиндра h 20 mm * :

h1, толщина днища h.1 80 mm * :

r, радиус цилиндра r 400 mm * :

ι, длина цилиндра ι 600 mm * :

E, модуль упругости материала E 2.0 105^* MPa * :

μ, коэффициент Пуассона μ 0.3 :

p, эксплуатационное давление p 2.5 MPa * :

D.1 E h.1 3^* 121 μ 2^- (* / :

β 31 μ 2^- (* r 2^h 2^* / 4 nthroot :

D E h 3^* 121 μ 2^- (* / :

B 1 - (1 μ 2 / - (* p r 2^* E h * / * 1 - (p r 3^* 8 D.1 * 1 μ + (* / * 21 mat :

A 12 D * β 2^* / 12 D * β 3^* / 1 - D β * / r D.1 1 μ + (* / - 1 - 2 D * β 2^* / 22 mat :

X A 1 -^B * :

X 10590.28 kg m * s 2^/ * 2.26 105^* kg s 2^/ * - 21 mat

M.0 X 1 el :

Q.0 X 2 el :

T.x p r * 2 / :

x M.x M.0 e 1 - (β * x *^* β x * cos β x * sin + (* Q.0 β / e 1 - (β * x *^* β x * sin * + :

ω.ch p μ T.x * r / - (r 2^E h * / * :

x M.t μ x M.x * :

x ω M.0 2 D * β 2^* / e 1 - (β * x *^* β x * cos β x * sin - (* Q.0 2 D * β 3^* / e 1 - (β * x *^* β x * cos * + ω.ch + :

x T.t μ T.x * E h * x ω * r / + :

σ.r 0 :

x σ.x x M.x 6 * h 2^/ T.x h / + :

x σ.t x M.t 6 * h 2^/ x T.t h / + :

x σ.ekv 12 / x σ.x x σ.t - (2^x σ.t σ.r - (2^+ σ.r x σ.x - (2^+ (* sqrt :

σx, меридиональные напряжения в стыке цилиндра с днищем 0 σ.x MPa 183.85

σт, окружные напряжения в стыке цилиндра с днищем 0 σ.t MPa 55.16

σт, окружные напряжения в цилиндре вне краевой зоны ι σ.t MPa 49.99

σэкв, эквивалентные напряжения в стыке цилиндра с днищем 0 σ.ekv 1.63 108^* Pa *

Mx, момент в цилиндрической оболочке в координате х=0 0 M.x kN 10.59

gr σx x mm * σ.x MPa / σт x mm * σ.t MPa / σэкв x mm * σ.ekv MPa / Мx x mm * M.x 42 mat :

Box returns expression

Box returns index

"σx"
"σт"
"σэкв"
"Мx"

vib

"σx"
"σт"
"σэкв"
"Мx"

P gr ix 2 el :

vib x mm * σ.ekv MPa / P 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<string>background_color="#fefefe"</string> <string>xaxis=true</string> <string>xaxis_type=solid</string> <string>xaxis_color=black</string> <string>xaxis_width=1</string> <string>yaxis=true</string> <string>yaxis_type=solid</string> <string>yaxis_color=black</string> <string>yaxis_width=1</string> <string>enhanced3d = true</string> <string>xu_grid=40</string> <string>yv_grid=40</string> <string>xlabel="Distance in mm"</string> <string>ylabel="Stress in MPa"</string> <string>zlabel="z"</string> <string>yrange=[0,200]</string> <string>zrange=[-5,5]</string> </commandList> <prambleList> <string>"set term pdfcairo enhanced size 3.12, 2.5"</string> <string>"set encoding utf8"</string> <string>"set style line 100 lc rgb 'grey' lt -1 lw 0.1"</string> <string>"set grid xtics ls 100"</string> <string>"set grid ytics ls 100"</string> <string>"set pm3d lighting depthorder base"</string> </prambleList> <plotType>plot2D</plotType> <titleDefault>SAMPLE PLOT</titleDefault> <title /> <titleState>Custom</titleState> <border>Disable</border> <borderVal>4095</borderVal> <textSize>12</textSize> <textSizeState>Disable</textSizeState> <textFont>Arial</textFont> <contour>Disable</contour> <contourType /> <contourLevels>5</contourLevels> <bgColor>#fefefe</bgColor> <enhanced3dState>Enable</enhanced3dState> <pm3d>Enable</pm3d> <pm3dpalette>color</pm3dpalette> <gridXu>40</gridXu> <gridYv>40</gridYv> <gridState>Custom</gridState> <width>300</width> <height>240</height> <pictureSizeState>Interactive</pictureSizeState> <filename>C:/Users/kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/5wk4r2es</filename> <termType>pdf</termType> <mapView>Disable</mapView> <xName>Distance in mm</xName> <yName>Stress in MPa</yName> <zName>z</zName> <xAxisType>solid</xAxisType> <yAxisType>solid</yAxisType> <xAxisColor>black</xAxisColor> <yAxisColor>black</yAxisColor> <xaxisWidth>1</xaxisWidth> <yaxisWidth>1</yaxisWidth> <xNameS>Enable</xNameS> <yNameS>Enable</yNameS> <zNameS>Enable</zNameS> <xMinRange>-5</xMinRange> <xMaxRange>5</xMaxRange> <yMinRange>0</yMinRange> <yMaxRange>200</yMaxRange> <zMinRange>-5</zMinRange> <zMaxRange>5</zMaxRange> <xRangeS>Disable</xRangeS> <yRangeS>Custom</yRangeS> <zRangeS>Interactive</zRangeS> <xGrid>Enable</xGrid> <yGrid>Enable</yGrid> <zGrid>Disable</zGrid> <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>MouseX1</varNameMouseX> <varNameMouseY>MouseY1</varNameMouseY> <varNameMouseWheel>MouseW1</varNameMouseWheel> <viewRedirecting>Disable</viewRedirecting> <varNameAzimuth>Azimut1</varNameAzimuth> <varNameZenith>Zenit1</varNameZenith> <xRedirecting>Disable</xRedirecting> <varNameXmin>MinX1</varNameXmin> <varNameXmax>MaxX1</varNameXmax> <yRedirecting>Disable</yRedirecting> <varNameYmin>MinY1</varNameYmin> <varNameYmax>MaxY1</varNameYmax> <zRedirecting>Disable</zRedirecting> <varNameZmin>MinZ1</varNameZmin> <varNameZmax>MaxZ1</varNameZmax> <option>border=true;</option> <enablexAxis>true</enablexAxis> <enableyAxis>true</enableyAxis> <enablezAxis>false</enablezAxis> <customPalatte>Enable</customPalatte> <propAxes>Disable</propAxes> </PlotStore> </plotstore> <input> <e type="operand">gr</e> <e type="operand">ix</e> <e type="operand">2</e> <e type="function" args="3">el</e> <e type="operand">x</e> <e type="operand">0</e> <e type="operand">600</e> <e type="function" args="4">explicit</e> </input> </maximaplugin> </region> <region left="72" top="1872" width="296" height="68" color="#000000" fontSize="10"> <text lang="eng" width="282" fontFamily="Arial" fontSize="10"> <content> <p>If Maxima is given vib instead of the original expression, an arithmetic overflow occures and Maxima crashes with side effects to SMath GUI.</p> </content> </text> </region> <region left="27" top="2259" width="84" height="24" color="#000000" fontSize="10"> <math> <input> <e type="operand">Maximalog</e> </input> </math> </region> </regions> </worksheet>