.MCAD 309000000 \  docDocument MmcObject[ d2_graph_format graphData% axisFormat)L)Ltrace2D&&&&&&&&& & & & & &&& dim_formatTmasslengthtimecharge temperature luminosity substanceNumericalFormatQdii shpRectVhmcDocumentObjectState\ mcPageModelK????mcHeaderFooterI@I |P CHeaderFooterJ@{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq15 Arial;}{\f3\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\plain\f3\fs18 \par } @{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq15 Arial;}{\f3\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\qc\plain\f3\fs18 \par } @{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq15 Arial;}{\f3\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\qr\plain\f3\fs18 \par } @J@{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq15 Arial;}{\f3\fswiss Arial;}{\f4\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\plain\f4\fs18 \par } @{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq15 Arial;}{\f3\fswiss Arial;}{\f4\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\qc\plain\f3\fs20 \par } @{\rtf1\ansi\deff0\deftab720{\fonttbl{\f0\fswiss MS Sans Serif;}{\f1\froman\fcharset2 Symbol;}{\f2\fnil\fprq15 Arial;}{\f3\fswiss Arial;}{\f4\fswiss\fprq15 Arial;}} {\colortbl\red0\green0\blue0;} \deflang1033\pard\qr\plain\f4\fs18 \par } @J@JMbP?MbP? 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TextStyle>@ ArialSerial_ParPropDefaultWNormal>@Arial@W Heading 1>@ Arial@W Heading 2 >@ Arial@W Heading 3 >@ Arial@W Paragraph >@ Arial@WList >@ Arial@WIndent >@Times New Roman@W Title>@Times New Roman@W Subtitle font_style_listO font_styleP  VariablesTimes New Roman@P  ConstantsTimes New Roman@P TextArial@P Greek VariablesSymbol@P User 1Arial@P User 2 Courier New@P User 3Arial@P User 4Times New Roman@P User 5Times New Roman@P User 6Arial@P User 7Times New Roman@P SymbolsSymbol@P Current Selection FontArial@P Undefined Font@P HeaderArial@P FooterArial@P Rotated Math FontTimes New Roman TextRegion* docRegionGshpBoxUB CharacterMap-RangeMap;(Failure Modes of Simple Pressure Vessles ChrPropMap7( RangeElem<( ChrPropData8 RangeData=nArial ParPropMap9(<( ParPropData:@WEmbedMap1<LinkMap/(<(LinkData0@NormalArial *@U3 cc- 21 JUN 027 < 8nArial9 < :@W1</ < 0@NormalArial *@Ub;(BJ"J"-@_Roger Cortesi, SM Mechanical Engineering MIT rcortesi@alum.mit.edu http://www.rogercortesi.com/7,,_ <,!8n Arial"<3#8 " 9_$<_%:@W1&</_'<_(0@NormalArial )eqRegionB@U+F@*tree@ p+@@ *,@@d+MPa-@@+.@@@-/@@t.10@@.1@@t0102@@063@@-Pa4@B@U+;F@5@@ p6@@ 57@@d6GPa8@@69@@@8:@@t91;@@9<@@t;10=@@;9>@@8Pa?@B@UBcq)X@@@@ p@A@@ @@@B@@d@A\r@C@@@A@D@@t@C1000@E@@@C@F@@d@Ekg@G@@@E@H@@d@Gm@I@@@G3@J@B@UJ^X@K@@ p@L@@ @K@M@@@@L@N@@d@MD2P@O@@p@M@P@@@Odepth@Q@@@L@R@@@@Q@S@@d@R\r@T@@@Rg@U@@@Qdepth@V*@U8L[8X*-*This fucntion converts a depth to Pressure7*@W<*@X8@Vn Arial9*@Y<*@Z:@W1@[</*@\<*@]0@NormalArial @^@B@U(k7@_@@ p@`@@ @_@a@@d@`E@b@@@`@c@@t@b190@d@@@bGPa@e*@Uaa-Youngs Modulus79@f<@g:@W1@h</@i<@j0@NormalArial @k*@U0J0 0 -9THESE MATERIAL VALUES ARE FOR 302/304/316 STAINLESS STEEL7999@l<9@m:@W1@n</9@o<9@p0@NormalArial @q@B@U(q9@r@@ p@s@@ @r@t@@d@sY@u@@@s@v@@t@u205@w@@@uMPa@x*@UGG- Yield Stress7 9 @y< @z:@W1@{</ @|< @}0@NormalArial @~@B@U(Z8@@@ p@@@ @@@@d@\n@@@@0.33@*@UZZ-Poisson's Ratio79@<@:@W1@</@<@0@NormalArial @*@U"-Cylinder Failure Modes7@<@8@l Arial9@<@:@W1@</@<@0@NormalArial @*@U4<<K<K-AThis function returns the Thickness to Diameter (outer) ratio of a cylinder that will cause yielding at the inner surface for a given pressure. To prevent yielding the T/D shoud be larger than this value. (Roark, p638 Table 32 Formula's for thick walled pressure vessel case 1c).7@<@8@n Arial9@<@:@W1@</@<@0@NormalArial @@B@Uh@@@ p@@@ @@@@@@@@@d@ TD.yield@@@p@@@@@press@@@@@@@@@@@@t@1@@@@2@@@p@@@@@@@@t@1@@@{@@@@@@@@t@1@@@@@@@@@@@@t@2@@@@press@@@@Y@*@U<5iH55-5--@This function returns the Thickness to Diameter (outer) ratio of a cylinder for buckling. To prevent buckling T/D should be larger than this value.7@<@8@n Arial9@<@:@W1@</@<@0@NormalArial @@B@UioX@@@ p@@@ @@@@@@@@@d@ TD.buckle@@@p@@@@@press@@@@@@@p@@@@@@@@@d@press@@@p@@@@@@@@@@@@@t@1@@@@@@@d@\n@@@@2@@@@@@@t@2@@@@E@@@@@@@t@1@@@@3@@B@U(w(x@@@ p@@@@@@@@@@@@@@@@@@@@@@t@0.05@@@@0@@@@@@@P@@@@@@@@ @@@@@@@@@d@ TD.yield@@@p@@@@@@@@d@D2P@@@p@@@@@Depth@@@@@@@d@ TD.buckle@@@p@@@@@@@@d@D2P@@@p@@@@@Depth@@@@@@@@@@@@@@@@@@@@@@t@2000@@@@m@@@@@@@t@0@@@@m@@@@@@@@@@@@@@@@@Depth@ *' ) ) &&&&&&&&& & & & & &&&@*@U0#000-@Above is the composite curve for above material. To prevent failure value to Thickness/Diameter (Outer) should be greater than both those shown here for a given depth.79@<@:@W1@</@<@0@NormalArial @*@UQd`*-End Plate Failure Modes7@<@8@l Arial9A<A:@W1A</A<A0@NormalArial A*@U8t%8ii-AThis fuction calculates the Thickness to Diameter (INNER) ratio for an endplate simply supported around its edge that will cause yield failure for a given pressure applied to one side. (Roark pp428 Table 24 Formulas for flat circular plates of constant thickness Case 10a)7A<A8An Arial9A<A :@W1A </A <A 0@NormalArial A @B@U s(A@@ pA@@ AA@@@AA@@dA TD.endplateA@@pAA@@ApressA@@AA@@@AA@@tA1A@@A2A@@{AA@@AA@@@AA@@@AA@@tA3A@@pAA@@AA@@@AA @@tA3A!@@A\nA"@@A1A#@@AA$@@tA#8A%@@A#\nA&@@AA'@@dA&pressA(@@A&YA)@B@U & A*@@ pA+@@A*A,@@@A+A-@@@A,A.@@@A-A/@@tA.0.2A0@@A.0A1@@A-A2@@@A1A3@@A1A4@@A,A5@@dA4 TD.endplateA6@@pA4A7@@A6A8@@dA7D2PA9@@pA7A:@@A9DepthA;@@A+A<@@@A;A=@@@A@@@A=A?@@tA>2000A@@@A>mAA@@A=AB@@tAA0AC@@AAmAD@@A