toc

Table of contents <a href=general geometry Grap ... ee boundary layer Cold forced boundary layer Three calculations of total heat (check these) 1 2 3 " width="618" height="964" align="absmiddle" />

TODO
add nozzles
  thermo weight numberof nozzles
calculate minium thickness for
    between tubes, for strength
    thickness in nozzle
    chamber thickness
number of inner tubes modulo number of nozzles
add additiona partial tubes
calculate temperature of chamber surface and tubes
or calculate thickness as a temperature requierment
seperate materials for inner and outer
:


Rocket engine calculations

RowBox[{RowBox[{(*, 6894.8, *)}], , RowBox[{RowBox[{RowBox[{metertoinch,  , =,  , 39.3 ... ;local.004365, ,, thermalConductivity.21}], }}]}], ;}], <br />, <br />, <br />}]}]

RowBox[{RowBox[{If, [, RowBox[{False, ,, (* 420m/s 5000psi case *), , RowBox[{TChamber ... #961;local, ;}],  , (* density at freestream *), , ,}], ]}], ;}], , <br />}] Null

general

General

A rotary rocket pumps its fuel by rotating, and the centrifugal effects pump the fuel.  The design I'll describe here is ultra simple.  Its design optimizes for simplicity and manufacturability, and incidentally has very high Thrust/Weight as a result of that simplicity.  Some of the design choices drive the design, in particular the choice of fuels, LOX and liquid propane.  Since both are liquid at 90K the require no insulation in the engine or tankage  We start with the assumption of  600m/s rotational velocity and a combustion chamber pressure of 10,000 psi, we may adjust those upwards later.

The engine is made out of aluminum or some superalloy, or a 300 series stainless..  Aluminum would be  preferable because of its high strength/.weight though its superb thermal conductivity turns out to be a mixed blessing.  A high temperature superalloy is second choice, though a lower strength/weight hurts doubly,  in the conventional way, it weighs more thus reducing thrust/weight, but much more importantly, it can't be spun as fast, thus reducing the chamber pressure possible.  We may end up using a 300 series stainless because it has good cryo properties and good strength at cryo temperatures, where the bulk of the engine will be operating.  Note however that as thrust/weight exceeds 200:1 further improvement starts to get lost in the noise, at least for my system design, as confirmed by my simulator.  This and the desire for fast  prototype turn around precludes using any hitech ceramic or other exotic materials. However, there are other options for the center piece, the "spindle", if the thermal requirements on cooling the nozzles are too much it could be made of a machinable ceramic or tungsten, or elconite, or graphite or something.  Thermal coefficients of expansion, thermal conductivity and such may override strength and strength/weight factors for the spindle, it doesn't have nearly the same forces on it as the rotor does.

NOTE: about this set of calculations:
    this stuff is meant to be a formalization of my calculations for several purposes.  There are several semiemperical equations here from Sutton and other sources if there are any better formulas or methods, I want to know about them, so this is for review.  Also I expect to run this on a lot of configurations, both manually to develop an intuition, and as part of my rocket system simulator, to explore optima and trade-offs.  In particular, there may be temperature:ISP trade-offs, the simulator can integrate those into an entire system.  As real engines burn, both success and failure will give values and directions to the simulator(s).  The current simulator flies a rocket second by second a 100,000 times under an adaptive simulated annealer, a variety of numerical hill climbing algorithm.  The addition of this engine calculation along with an interface to chemical calculations will give a more complete model, and the addition of manufacturing cost rules of thumb can lead to trade-offs between manufacturing costs, of the engine for instance, and the fuel mix, for temperature and ISP, which will define tankage ratios & etc.  If this design isn't in an unexplored realm of design space, it isn't worth investigating, and if it is unexplored as I expect, normal intuitions will be misleading!
    
    measurements in meters& SI unless otherwise noted:  The physics makes a lot more sense in SI even though I have less feel for results in Newtons than in pounds force (lbf).  And I still don't use Pascals for everyday pressure measurements.  So sometimes I output in the more intuitive units as well as the SI units.  One has to learn somehow.  Without some discipline in this the units can cause a lot of mayhem to the results or at least sanity.

geometry

Geometry
RowBox[{superalloy, ,  thrust = , , 3000, ,  chht , , 0.0293422, ,  vol in^3 = , , 4.84316}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.0173205 0.00144225 RowBox[{RowBox[{267629., }], +, RowBox[{113784., , i}]}] 773.843 3.87676 0.09621 0.320195 RowBox[{RowBox[{0.0210481, }], -, RowBox[{0.0210481, , i}]}] 0 0
0.0173205 0.00216337 190624. 748.827 4.00627 0.0976522 0.324995 0.0201087 0 0
0.0173205 0.0028845 127674. 725.387 4.13573 0.0990945 0.329795 0.0285541 0 0
0.0173205 0.00360562 100552. 703.388 4.26507 0.100537 0.334595 0.0315264 0 0
0.0173205 0.00504787 75251.1 663.255 4.52315 0.103421 0.344195 0.0344412 0 0
0.0173205 0.005769 68820.5 644.918 4.65175 0.104863 0.348994 0.0353455 0 0
0.0173205 0.00649012 64529.4 627.618 4.77998 0.106306 0.353794 0.0360782 0 0
0.0173205 0.00721125 61701. 611.276 4.90777 0.107748 0.358594 0.0366991 0 0
0.0173205 0.00793237 59924.1 595.823 5.03505 0.10919 0.363394 0.0372428 0 0
0.0173205 0.0086535 58933.9 581.196 5.16177 0.110632 0.368194 0.0377308 0 0
0.0173205 0.00937462 58552.2 567.339 5.28785 0.112075 0.372994 0.0381772 0 0
0.0173205 0.0100957 58654.7 554.198 5.41323 0.113517 0.377794 0.0385917 0 0
0.0173205 0.0108169 59151.7 541.727 5.53784 0.114959 0.382594 0.038981 0 0
0.0173205 0.011538 59977.5 529.883 5.66163 0.116401 0.387394 0.03935 0 0
0.0173205 0.0122591 61082.2 518.626 5.78452 0.117844 0.392194 0.0397024 0 0



RowBox[{, RowBox[{thicknessOfChamberWall=. ;, , x=. ;, , rBot=. ;, <br ... 1;, <br />, , lEngine = combustionChamberLength + 2 thicknessOfChamberWall/.geometry ;}]}]

RowBox[{sin(Θ) = fffoo = , , 0.119543, ,  Θ = , , 6.86575}]

RowBox[{ambienttemperature = , , 288.556, ,  thermalcoeff = , , 0.0000 ... = , , 198.556, ,  degreesinterference - ambienttemperature = , , 401.444}]

RowBox[{rInner = , , 0.03048, ,  linterference = , , 0.00018288, ɯ ... ,  rInnerspindle = , , 0.0305405, ,  rInnerrotor = , , 0.0303576}]

RowBox[{720.306,  , Null^49,  , (-1500 + TEngineHotFluid)}]

RowBox[{<br />, RowBox[{lfuelfeeds = .73 lEngine ;, <br />, lprimaryfeed = .47 lEngine ;, <br  ... specificThrust/.Join[geometry, fuel, oxidizer, velocity, superalloy] ;, , Null}]}]

RowBox[{rprimaryfeed = , , 0.012192, ,  rsecondaryfeed = , , 0.00791231}]

RowBox[{maxtubeseperation =, , 0.00320029}]

RowBox[{************************ volumeOfCombustionChamber ***********************= , , 0.00008896}]

RowBox[{nominalFuelFlowMass = , , RowBox[{RowBox[{(, RowBox[{0.0001683,  , combustionChamberHeight^3,  , densityFuel,  , rotationalVelocity^2}], )}], /, lStar}]}]

RowBox[{0.0096012,  , l,  , Null^72}]

volapprroxcone = 1/3 π (rBot + combustionChamberHeight + thicknessOfChamberWall + lTop/2) ... l, oxidizer, velocity, geometry] ; Print["totalvol= ", totalvol/.geometry] ; 

0.000293925

0.000340794

RowBox[{totalvol= , , 0.000348531}]

Print["nTubesInner = ", nTubesInner/.geometry/.geometry] ;  Print["nTubesOuter  ... }],  , /.,  , geometry}], /., fuel}], /., oxidizer}], /., velocity}]}], ]}], ;}], }] Null

nTubesInner = 10

nTubesOuter = 30

RowBox[{volumeOfSpindleTubes = , , 2.41319*10^-6}]

RowBox[{volumeOfRotorTubes = , , 7.23958*10^-6}]

RowBox[{rTop = , , 0.04572, ,  rBot = , , 0.01524, ,  combustionChamberHeight = , , 0.03048, ,  lTop , , 0.0071842}]

RowBox[{lEngine = , , 0.0508, ,  lOverlap = , , 0.01016}]

RowBox[{volumes: engine_combustionchamber = , , 0.00008896}]

RowBox[{ , , 5.42867}]

RowBox[{ m^3   volumes: spindle = , , 0.0000370667, ,  volumes: rotor  =, , 0.0000518933}]

RowBox[{volumes: engine  , , 0.000259571, ,  , , 15.84, > ... 304;, 6.49132, ,  volumes: rotor , , 0.000153198, ,  , , 9.34871}]

RowBox[{weightOfEngine = , , 2.14146}]

RowBox[{weightOfEngine lb = , , 4.71122}]

RowBox[{length of engine m = , , 0.0508, ,  in = , , 2.}]

RowBox[{height  of engine m = , , 0.11176, ,  in = , , 4.4}]

RowBox[{CalculatedNozzleThroat Area = , , 0.000646982, ,  , , 1.00282, ,  in^2}]

RowBox[{CalculatedNozzleThroat Area = , , 0.000646982, ,  , , 1.00282, ,  in^2}]

RowBox[{nominalThrust = , , 47933.6, ,  newtons = , , 3295.43, ,  lbf }]

RowBox[{specific thrust = , , 699.486, ,  lbf/lb !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!}]

RowBox[{nominalfuelflowmass , , 4.27978, , nominalfuelflowvol , , 0.00427978}]

RowBox[{nNozzles = , , 10, ,  rNozzlesthroat  = , , 0.00453807}]

RowBox[{nNozzles = , , 10, ,  rNozzlesthroat in = , , 0.178664}]

RowBox[{ rNozzle total diameter  in = , , 0.357328}]

RowBox[{cf = , , 2.}]

RowBox[{chamberPressure = , , 3.7044*10^7}]

RowBox[{chamberPressure psi  = , , 5372.78}]

Chemistry

Chemistry

TLox = 90 ; TPropane = 90 ; <br /><br /> molWeightPropane = 44 ; molWeightO2 = 32 ; molWeightS ... izer, velocity] ; Print["nominalFuelFlowMass ", localnominalFuelFlowMass] ; <br /> Null

Fuel  analisys

RowBox[{248., ,  mol weight rich}]

RowBox[{0.645161, ,  O2 weight ratio rich}]

RowBox[{0.354839, ,  propane weight ratio rich}]

RowBox[{0.00242206, ,  vol rich O2  }]

RowBox[{0.00216948, ,  vol rich propane }]

RowBox[{propaneWeightRich = , , 1.51863}]

RowBox[{O2WeightRich = , , 2.76115}]

RowBox[{volRich = , , 0.00459154}]

RowBox[{volRichO2 = , , 0.00242206}]

RowBox[{volRichPropane = , , 0.00216948}]

RowBox[{nominalFlowMasspropane = , , RowBox[{RowBox[{(, RowBox[{0.0000597192,  , combustionChamberHeight^3,  , densityFuel,  , rotationalVelocity^2}], )}], /, lStar}]}]

RowBox[{nominalFlowMassLOX = , , RowBox[{RowBox[{(, RowBox[{0.00010858,  , combustionChamberHeight^3,  , densityFuel,  , rotationalVelocity^2}], )}], /, lStar}]}]

RowBox[{flowRateInnerLox , , 27.4017}]

RowBox[{flowRateOuterLox , , 10.1973}]

RowBox[{flowRateInnerPropane , , 27.4017}]

RowBox[{flowRateOuterPropane , , 9.1339}]

RowBox[{nominalFuelFlowMass , , 4.27978}]

Pressure

Pressure

<br />pressureFuelInjector = (rotationalVelocity^2) densityFuel/2 /.Join[geometry, fuel, oxidi ... ure/.fuel/.velocity, " (", chamberPressure/(100000/15)/.fuel/.velocity, ")"] ;

RowBox[{fuel pressure injector , , 9261., , psi}]

oxidizer pressure injector 75411/5psi

RowBox[{Oxidizer pressure drop , , 6.3504*10^7, ,  (, , 9525.6, , )}]

RowBox[{fuel pressure drop , , 2.4696*10^7, ,  (, , 3704.4, , )}]

RowBox[{fuel pressure drop ratio , , 0.4}]

RowBox[{ChamberPressure = , , 3.7044*10^7, ,  (, , 5556.6, , )}]

cavitation

Cavitation

fuel_velocities

Fuel velocities

graphics

Graphics TubesToChamberWallInnerTop TubesToChamberWallInnerBot TubesToChamberWallOuterTop TubesToChamberWallOuterBot

RowBox[{<br />, RowBox[{l5ths = .000240 ;, <br />, RowBox[{RowBox[{g1,  , =,  , RowBox[{RowBox ...  , Show[g1, gttp , gtto, lttp, ltto, ito, itp, gm1, gm2, AspectRatio-> Automatic] ;}]}]

[Graphics:HTMLFiles/xxrocket_heatfeb15_2004htmlized_82.gif]

Null^19

Show[g2, ltbo, ltbp, llube, lnozzle, ligniter, AspectRatio-> Automatic] ; 

[Graphics:HTMLFiles/xxrocket_heatfeb15_2004htmlized_85.gif]



computationforcad

Computation for cad

calctubes[ntubesb_, z0lineb_] := Module[{resultb, thetab, tmpb, ib}, (*Print[z0line] ; *)(*Pri ... quot;, resultb] ; *)] ; (*Print[resultb] ; *)Return[resultb] ; ] ;

(*foobar0 = calctubes[nTubesInner, lltbo] ; foobar1 = calctubes[nTubesInner, lltbp] ;  ... , lltbo]] ; *)Null







generate_cad

generate cad

nTubesOuter = 30 ; <br />nTubesInner = 10 ; rotorandspindleozygenedgedisplacem ... radiusLOX] ; <br /><br />(*lltbo, lltbp, llttp, lltto *)Print["foo23"] ;

injectorradius =  {{iNJECTORRADIUS -massflow^(1/2)/(2^(1/4) (densityoffluid pd ... /2))}, {iNJECTORRADIUSmassflow^(1/2)/(2^(1/4) (densityoffluid pdrop)^(1/4) π^(1/2))}}

RowBox[{injectorradiuspropane = , , 0.000294376}]

RowBox[{injectorradiusLOX = , , 0.000351374}]

foo23

Null^9

RowBox[{(*derived from picture as above*), , RowBox[{(*,       ... "\"", ")\n"] ; ] ; ] ; }]

filetradius = .0254/8

0.003175

2 filetradius

0.00635

<br />first the rotor

Close[rogersfile] ; rogersfile = OpenWrite["/roger/cadstartrotornew1.lsp"] ; savedou ... WriteString[rogersfile, "(Command \"-view\" \"top\")\n"] ; 

General :: openx : OutputStream[/roger/cadstartnozzlesuperelipse.lsp, 586] is not open. More…



then the spindle

RowBox[{RowBox[{(*, RowBox[{RowBox[{g2,  , =, RowBox[{RowBox[{Graphics, [, RowBox[{{, RowBox[{ ... String[rogersfile, "(Command \"-view\" \"top\")\n"] ; Null}]

Null^21

Then the manifold

Propane manifold

propanemanafoldoffset = (lOverlap - 2^(1/2) TubesToChamberWallOuterBot - rTubesInner)/.geometry ; loxmanafoldoffset = lEngine - propanemanafoldoffset ;

propanemanafoldradius = 2^(1/2) rTubesInner/.geometry ;

spheresin = 2 (rTubesInner/rInner)/.geometry ; sphereangle = (360/(2Pi)) ArcSin[spheresin] ; R ... t;, manafoldangle] ; Print["2rTubesInner/rInner = ", (2rTubesInner/rInner)/.geometry] ;

RowBox[{sphereangle = , , 5.97916}]

RowBox[{spheresin = , , 0.104167}]

RowBox[{manafoldangle = , , 22.8459}]

RowBox[{2rTubesInner/rInner = , , 0.104167}]

Close[rogersfile] ; rogersfile = OpenWrite["/roger/cadstartmanifoldprop.lsp"] ; save ... file, "(Command \"-view\" \"top\")\n"] ; <br /> Close[rogersfile] ;

LOX manifold

rogersfile = OpenWrite["/roger/cadstartmanifoldlox.lsp"] ; savedoutput = $Output ; W ... mmand \"-view\" \"top\")\n"] ; <br /> Close[rogersfile] ; <br />

Outer feed tube

RowBox[{RowBox[{clearance3ths,  , =,  , RowBox[{.003,  , /, RowBox[{(, RowBox[{100, /, 2.54}], ... le, "(Command \"-view\" \"top\")\n"] ;  Close[rogersfile] ;

Inner feed tube

Get :: noopen : Cannot open rtlaaeftr.nb .

rogersfile = OpenWrite["/roger/cadstartinnerfeed.lsp"] ; savedoutput = $Output ; Wri ... le, "(Command \"-view\" \"top\")\n"] ;  Close[rogersfile] ;

outer inducer

rogersfile = OpenWrite["/roger/cadstartouterinducer.lsp"] ; savedoutput = $Output ;  ... file, "(Command \"-view\" \"top\")\n"] ; <br /> Close[rogersfile] ;

inner inducer

rogersfile = OpenWrite["/roger/cadstartinnerinducer.lsp"] ; savedoutput = $Output ;  ... file, "(Command \"-view\" \"top\")\n"] ; <br /> Close[rogersfile] ;

stator

rogersfile = OpenWrite["/roger/cadstartstator.lsp"] ; savedoutput = $Output ; WriteS ... le, "(Command \"-view\" \"top\")\n"] ;  Close[rogersfile] ;

seal

rogersfile = OpenWrite["/roger/cadstartseal.lsp"] ; savedoutput = $Output ; WriteStr ... file, "(Command \"-view\" \"top\")\n"] ; <br /> Close[rogersfile] ;

Nozzlenozzle design objectives, an noncircular nozzle which can be til ... f s^n = x ^n + y^n   n>2rnozzlecenterInnerrNozzlesthroat

RowBox[{, RowBox[{rogersfile = OpenWrite["/roger/cadstartnozzlesuperelipse.lsp&qu ... 371;, WriteString[rogersfile, "(entmake '((0 . \"SEQEND\")))\n"] ;, <br />}]}]

Null^18

Close[rogersfile] ; <br />

RowBox[{RowBox[{RowBox[{g2,  , =, RowBox[{RowBox[{Graphics, [, RowBox[{{, RowBox[{RowBox[{RGBC ... , {lprimaryfeed, rprimaryfeed}, {0, rprimaryfeed}}]}], }}], ]}], /., geometry}]}], ;}], }]

Fuel_Flow

Fuel Flow

Flow Fuel

RowBox[{, RowBox[{outsidearesecondaryfeedtube = π rsecondaryfeed^2 ; insi ... ichO2 = ", volRichO2] ;, , Print["volRichPropane = ", volRichPropane] ;}]}]

RowBox[{loxflowvelocity = , , 18.7502, ,  propaneflowvelocity = , , 13.3535}]

RowBox[{static pressure of lox velocity = , , 200395., , (, , 30.0592, ...  pressure of propane velocity = , , 62410.7, , (, , 9.36161, , )}]

RowBox[{static pressure of lox velocity = , , RowBox[{RowBox[{(, RowBox[{2.97195*10^-7 ... 015}], +, RowBox[{0.4,  , combustionChamberHeight}]}], )}], ^, 2}],  , π}]}], )}], ^, 2}]}]}]

RowBox[{loxflowvelocity = , , RowBox[{0.000770966, /, RowBox[{RowBox[{(, RowBox[{RowBo ... [{-, 0.0015}], +, RowBox[{0.4,  , combustionChamberHeight}]}], )}], ^, 2}],  , π}]}], )}]}]}]

RowBox[{areaprimaryfeedtube = , , 0.000162465}]

RowBox[{outsidearesecondaryfeedtube = , , 0.000196678}]

RowBox[{insidearesecondaryfeedtube = , , 0.000129175}]

RowBox[{volRichO2 = , , 0.00242206}]

RowBox[{volRichPropane = , , 0.00216948}]

Null^17

find better values for feed diameters

better diameters feed find for values

outareainnerfeedtube = π (rinnerfeed)^2 ; insidearesecondaryfeedtube = &# ... feed->rprimaryfeed/.geometry] ; Print["xevary = ", xevary] ; 

RowBox[{xevary = , , RowBox[{{, RowBox[{rinnerfeed, , 0.00827309}], }}], ,  for router = , , 0.012192}]

RowBox[{rin = , , 0.00827309}]

RowBox[{therefore the ratio to rBot should be , , 0.542854, ,  rather than , , 0.519181}]

RowBox[{or  the ratio to routerfeed should be , , 0.678567, ,  rather than , , 0.648976}]

RowBox[{xevary = , , RowBox[{{, RowBox[{RowBox[{{, RowBox[{rinnerfeed, , RowBo ... ^2}], -, RowBox[{1.,  , thicknessofinnerfeedtube^2}]}], )}], ^, (1/2)}]}]}], )}]}]}], }}]}], }}]}]

Null^10

structural

Structural

I don't have all the answers here.  I need closed form solution here, as this is meant to be part of a adaptive annealing simulator, and will be evaluated for different values of all the structural parameters, and different fuel mixes.So I need a closed form solution, as it will be evaluated 100,000 times a run for hundreds or thousands of runs. Due to the simplicity of this design, there should be a closed form solution, but till I learn how to do that, I'll look for upper and lower bounds.  

The expected failure modes are strains sufficient to separate the rotor from the spindle, and stresses sufficient to cause rotor failure. The intent is to use a thermal shrink interference fit to join the two.

The first approximation is to look at various stresses on radial disks, ignoring the torsional component that would tie things together.  
   
Stresses for the pressure component are given by the Lamé equations
    S_r = (r_1 ^(2 ) p_1 )/(r_2 ^(2 )  - r_1 ^(2 ))(1+(r_2 ^(2 ))/(r ^(2 )))
    S_t = (r_1 ^(2 ) p_1 )/(r_2 ^(2 )  - r_1 ^(2 ))(1-(r_2 ^(2 ))/(r ^(2 )))
    Stresses for the rotational component are
    σ_r=(3 + μ)/8ρω^2(r_2^2 + r_1^2- (r_2^2 r_1^2)/r^2- r^2)
    σ_t=(3 + μ)/8ρω^2(FormBox[RowBox[{r_2^2,  , +,  , r_1^2, -, (r_2^2 r_1^2)/r^2, -, RowBox[{RowBox[{RowBox[{(, RowBox[{1, +, RowBox[{3., μ}]}], )}], /, (3 + μ)}], r^2}]}], TraditionalForm])
    
    We will look at the stresses on the interior edge of a disk at the edge of the rotor looking for the strain that
    will cause the two pieces to separate. (Note that I'm cheating here, there isn't pressure there, but this is a good start, upper bound to speed.)

Sr = (r1^2 p )/(r2 ^(2 )  - r1^2) (1 - (r2 ^(2 ))/(r ^(2 ))) St = (r_1 ^(2 ) p )/(r2 ^(2 )  -  ... +, RowBox[{3., μ}]}], )}], /, (3 + μ)}], r^2}]}], TraditionalForm], )}]}], Text]}], ;}]

So using these at the interior edge where r = rInner, first we set the stresses to the interference pressure:

But we may have better use for the radial elongation form of this stuff, as that is likely the ... + (3 + μ)/8 ρ ω^2 (r2^2 + r1^2 - (r2^2 r1^2)/r^2 - r^2)) (1 - μ)/elasticity ;

ω=. ; radialelongation=. ; modulusElasticity=. ; μ=. ; ρ=. ; r=. ; p=. ; ω ... 2 ((r2^2 + r1^2) - (r2^2 r1^2)/r^2 - r^2)) (1 - μ))/(8 modulusElasticity), ω]] ; <br />

ros = rotationsolution [[1]]/.{r1 rInner, ρdensity, radialelongation > ... nner + linterference, r2  rOuter}/.geometry/.fuel/.oxidizer/.stainlesssteel420/.velocity ;

ros = rotationsolution [[1]]/.{r1 rInner, ρdensity, radialelongation > ...  linterference, r2  rOuter}/.Join[geometry, fuel, oxidizer, stainlesssteel420, velocity] ;

wextreme = ω * r2 /. {r2  rInjector, ros[[1]]}/.geometry ;

(*`maxtstressformula = (( (r1 p wallchamberratio)/modulusElasticity ((1 + r1^2/r2^2)/(1 - r1^2 ... ;^2 (r2^2 + r1^2 - (r2^2 r1^2)/r^2 - r^2))) * modulusElasticity * (r1^2 + r2^2)/(4r1 * r2^2)) ; *)

maxtstressformula = ((r1^2 p wallchamberratio)/(r2^2 - r1^2) (1 + r2^2/r^2) + ((3 + μ)/8 ρ ω^2 (r2^2 + r1^2 - (r2^2 r1^2)/r^2 - r^2)) (1 - μ)) ;

minmaxr = Solve[0 == D[maxtstressformula, r], r] ; Null

maxr = minmaxr[[4]][[1]] ; (*/.{r1 rInner, pchamberPressure, & ... t; rotationalVelocity/rInjector }/.Join[geometry, fuel, oxidizer, stainlesssteel420, velocity]] *)

samaxtstress = maxtstressformula /.{r1 rInner, pchamberPressure, μ ... > rotationalVelocity/rInjector }/.Join[geometry, fuel, oxidizer, stainlesssteel420, velocity] ;

samaxtstress = maxtstressformula /.{r1 rInner, pchamberPressure, μ ... > rotationalVelocity/rInjector }/.Join[geometry, fuel, oxidizer, stainlesssteel420, velocity] ;

RowBox[{RowBox[{1.36204*10^8, /, 6894.7}], }]

19754.8

RowBox[{RowBox[{samaxtstress, /, 6894.6}], ;}]

it seems to take that much  psi to do that, for steel

with impellers to pre pressurize itwe get a bit more, that can be added as  it is de ... side . Note that the result is for some steel, for aluminum the answer is similar 

ω =. ; radialelongation = . ; modulusElasticity =. ; μ = . ; ρ = . ; r &nb ... 62754;rInner + linterference, r2  rOuter}/.geometry/.fuel/.oxidizer/.aluminum/.velocity ;

wextreme = ω * r2 /.{r2  rInjector , ros[[1]]}/.Join[geometry, fuel, oxidizer, aluminum, velocity] ;

almaxstress = maxtstressformula/.{r1 rInner, p chamberPressure, μ ... p;ω-> rotationalVelocity/rInjector }/.Join[geometry, fuel, oxidizer, aluminum, velocity] ;

almaxstress/6894 psi ;

   not bad for aluminum


    The stresses on the center of the rotor will show us the speed where the rotor fails by flying apart, again ignoring shear effects. We use the interferencePressure formula, but use the outer edge and a failure stress !


    Now, and more interestingly, we look at the tangential pressure components integrated over the area of the chamber wall + the tangential stresses integrated along the length of the rotor.  .... how close is this to a solution... ...rigid ia an Pyrex... how close are we to integrating real torsion to this ....

thermal

Thermal

velocityhotgas = 3333333333333333333333333 ;

Cold_Cooling_side

Cold Cooling side

couldside_boundarylayer_forced

Cold Cooling side analisys of boundary layer dominated by fuel speed results in a badness factor of about 200

Note for the first cut this is the same equation as the hot side cooling, the parameters are different as is the geometry . This is the physical effect that cools other rocket engines, and is included here to confirm that this effect won't cool this engine as designed.  See the convection section for the actual effect that works.

Cooling Cold sideFor the amount of heat transferred from cold tubes we will start with
the approximation of constant temperature of the metal wall. I will use Q = π∫DqdL
and h_g =FormBox[0.026, TraditionalForm]FormBox[RowBox[{(, RowBox[{RowBox[{cpμ, ^, 0.2}], /, RowBox[{Pr, ^, 0.6}]}], )}], TraditionalForm]FormBox[RowBox[{(ρμ), ^, 0.8}], TraditionalForm](ρam/ρ ')(_am/μ_0)
equations (8-20) & (8-23) from Sutton 7th ed. My intuition fails me here without a good reference.

<br /><br />ρlocal =. ; <br /><br /><br />cp = . ; <br />ρam=. ;   <br />& ... 6;0=. ; <br />μlocal=. ; <br /><br />thermalConductivity =. ; <br />Pr=. ;    

Null^9

TEngineWall=. ; TEngineWallChamber=. ; TEngineWallInner=. ; RowBox[{TFluid =., ;, RowBox[{? ... alConductivity.21}], }}]}], ;, <br />, Pr = (cp μlocal)/thermalConductivity, ;}]}]}]

Null 

plysics_cold_forced_convection

physics cold forced convection RowBox[{RowBox[{Qabstract, =, RowBox[{π,  , 2^(1/2),  , tu ... meter^.2,  , RowBox[{Pr, ^, 0.6}],  , ρprime,  , μ0^.2}], )}]}], r}]}]}]}], ;}]

QinnerLOX = Qabstract/.fuelfeedvelocityflowRateInnerLox/.arTop ... opane + Qouterpropane ; QLOX = QinnerLOX + Qouterlox ; Qpropane = Qinnerpropane + Qouterpropane ;

fuelfeedvelocity = flowRateInnerLox ;

qperkey1

tubeallltemperature = 300 ; qPerKey = Q/nominalFuelFlowMass ; qPerKeyLOX = QLOX/(O2WeightRich  ... erturerises due to cold forced convection see free convection for real temp rises"] ; <br />

qperkey1

Q = 4 Qabstract

qperkey1

RowBox[{coldQ per kilogram of fuel = , , RowBox[{0.934626,  , Qabstract}]}]

qperkey1

RowBox[{fuelfeedvelocity  = , , 27.4017}]

qperkey1

RowBox[{nominalFuelFlowMass = , , 4.27978}]

qperkey1

RowBox[{aprox degrees fuel temperature rise , , RowBox[{RowBox[{(, RowBox[{0.934626,  , Qabstract}], )}], /, cp}]}]

qperkey1

RowBox[{aprox degrees fuel temperature rise LOX = , , RowBox[{0.00012089,  , Qabstract}]}]

qperkey1

RowBox[{aprox degrees fuel temperature rise propane = , , RowBox[{0.000157805,  , Qabstract}]}]

qperkey1

temperturerises due to cold forced convection see free convection for real temp rises

couldside_boundarylayer_free

RowBox[{, RowBox[{Cold boundary layer dominated by free convection, ,  &n ... ,   , www . egr . msu . edu/~ somerton/Nusselt/index . html}], ;}]}], , Null}]}]

thicknessToCoolantEngine=. ; <br /> TDelta = 5 ; μ=. ; ν = μ/ρ ; Pr = (cp  ... Ra = Gr Pr ; Gz = (Ren Pr D)/L ; Ren = (V D)/μ ; Pr = (cp μ)/thermalConductivity ; Null

Now for full angled case !   formula for a parallelaped at angle ϕ

μ=. ; ϕ=. ; ν = μ/ρ ; Pr = (cp μ)/thermalConductivity ;

physics_cold_free_convection

(* key physics cold free convection *) GrL = (geffective β (TDelta) L^3)/ν^2 ; GrD = (geffective β (TDelta) D^3)/ν^2 ;

physics_cold_free_convection

Null

RaL = GrL Pr ; RaD = GrD Pr ; GzD = (RenD Pr D)/L ; RenD = (V D)/μ ; RenL = (V L)/μ ; Pr = (cp μ)/thermalConductivity ;

RowBox[{NuavL, =, RowBox[{1, +, RowBox[{1.44,  , *, Max[0, 1 - 1798/(Ra Cos[ϕ])],  , RowB ...  1.6}]}], )}], /, (Ra Cos[ϕ])}]}], )}]}], +, Max[0, ((Ra Cos[ϕ])/5830)^(1/3) - 1],  }]}]

ω = rotationalVelocity/rInjector/.geometry/.velocity ; <br />

RowBox[{NuavL, =, RowBox[{1, +, RowBox[{1.44, *, Max[0, 1 - 1798/(RaL Cos[ϕ])],  , RowBox ... 04;LOXcharisterics/.geometry] ; Print["doublecheck RaD = ", grdlocal prlocal] ;

RowBox[{1, +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{41.6737,  , ((cp L^3 r ` ... owBox[{Sin, [, RowBox[{1.8,  , ϕ}], ]}], ^, 1.6}]}], )}], /, (cp L^3 r ρ^2)}]}], )}]}]}]

RowBox[{Part 1 = , , RowBox[{1, -, RowBox[{1.57681*10^-14, /, r}]}]}]

RowBox[{Part 2 = , , RowBox[{1, -, RowBox[{1.54587*10^-14, /, r}]}]}]

RowBox[{Part 3 = , , RowBox[{-1, +, RowBox[{26943.1,  , r^(1/3)}]}]}]

RowBox[{hpermsqLOXouter = , , RowBox[{53.5433,  , RowBox[{(, RowBox[{1, +, RowBox[{1.4 ...  +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{26943.1,  , r^(1/3)}]}]}], ]}]}], )}]}]}]

RowBox[{hLOXouter = , , RowBox[{1.72659,  , RowBox[{(, RowBox[{1, +, RowBox[{1.44,  ,  ...  +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{26943.1,  , r^(1/3)}]}]}], ]}]}], )}]}]}]

RowBox[{hpermsqLOXinner = , , RowBox[{53.5433,  , RowBox[{(, RowBox[{1, +, RowBox[{1.4 ...  +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{26943.1,  , r^(1/3)}]}]}], ]}]}], )}]}]}]

RowBox[{hLOXinner = , , RowBox[{0.575531,  , RowBox[{(, RowBox[{1, +, RowBox[{1.44,  , ...  +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{26943.1,  , r^(1/3)}]}]}], ]}]}], )}]}]}]

RowBox[{hpermsqpropaneouter = , , RowBox[{66.1417,  , RowBox[{(, RowBox[{1, +, RowBox[ ...  +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{8349.62,  , r^(1/3)}]}]}], ]}]}], )}]}]}]

RowBox[{hpropaneouter = , , RowBox[{2.13285,  , RowBox[{(, RowBox[{1, +, RowBox[{1.44, ...  +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{8349.62,  , r^(1/3)}]}]}], ]}]}], )}]}]}]

RowBox[{hpermsqpropaneinner = , , RowBox[{66.1417,  , RowBox[{(, RowBox[{1, +, RowBox[ ...  +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{8349.62,  , r^(1/3)}]}]}], ]}]}], )}]}]}]

RowBox[{hpropaneinner = , , RowBox[{0.71095,  , RowBox[{(, RowBox[{1, +, RowBox[{1.44, ...  +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{8349.62,  , r^(1/3)}]}]}], ]}]}], )}]}]}]

RowBox[{convectionQ = , , RowBox[{RowBox[{2.8438,  , RowBox[{(, RowBox[{1, +, RowBox[{ ... , RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{26943.1,  , r^(1/3)}]}]}], ]}]}], )}]}]}]}]

RowBox[{NuavLLOX = , , RowBox[{1, +, RowBox[{1.44,  , RowBox[{(, RowBox[{1, -, RowBox[ ...  ]}]}], +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{26943.1,  , r^(1/3)}]}]}], ]}]}]}]

RowBox[{NuavLpropane = , , RowBox[{1, +, RowBox[{1.44,  , RowBox[{(, RowBox[{1, -, Row ...  ]}]}], +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{8349.62,  , r^(1/3)}]}]}], ]}]}]}]

RowBox[{GrL = , , RowBox[{5.81105*10^16,  , r}]}]

RowBox[{GrD = , , RowBox[{1.85774*10^14,  , r}]}]

RowBox[{RaD = , , RowBox[{5.15533*10^14,  , r}]}]

                                                                                               ...                                                                                                  L

RowBox[{GzD = , , 105.547}]

RowBox[{RenD = , , 258.184}]

RowBox[{Pr = , , 2.77505}]

RowBox[{V = , , 27.4017}]

RowBox[{doublecheck Ren = , , 258.184}]

RowBox[{doublecheck RaD = , , RowBox[{5.15533*10^14,  , r}]}]

RowBox[{1, +, Max[0, -1 + ((geffective L^3 (RDelta) β ρ^2 Cos[ϕ] cp)/(thermalCo ... 8,  , ϕ}], ]}], ^, 1.6}]}], )}], /, (geffective L^3 (TDelta) β ρ^2 cp)}]}], )}]}]}]

RowBox[{1, +, RowBox[{Max, [, RowBox[{0, ,, RowBox[{-1, +, RowBox[{24.371,  , ((cp L^3 r RDelt ... owBox[{Sin, [, RowBox[{1.8,  , ϕ}], ]}], ^, 1.6}]}], )}], /, (cp L^3 r ρ^2)}]}], )}]}]}]

cooling_hotside

cooling hotside free Null

forced

hotside_free

Hotside Free  convection

The hotside also has significant accereraton and thus the free convection effects there must b ... stance so it is acceptable to use aflat slopeing plate as the appropriate model . 

TEngineWallChamber=. ; TEngineWallInner=. ; r=. ; qlocal =. ; μ=. ; ϕ=. ; RowBox[{Ro ... ; RaL = GrL Pr ; RaD = GrD Pr ; GzD = (RenD Pr D)/L ; RenD = (V D)/μ ; RenL = (V L)/μ ;

physics hot free convection

RowBox[{(* key equation hot boundary layer  *), <br />, StyleBox[RowBox[{RowBox[{NuL,  , =,  , ... 8/27)}], )}], ^, 2}], /, 2^(1/2)}]}], ;}], FontColor -> RGBColor[0.0195315, 0.410163, 0.121096]]}]

Print[" NuL = ", NuL, "qabstractfreehotside = ", qabstractfreehotside ] ;  ... rint[" NuL = ", NuL, "qabstractfreehotside = ", qabstractfreehotside ] ; Null

RowBox[{ NuL = , , RowBox[{RowBox[{RowBox[{(, RowBox[{RowBox[{0.825, }], +, Ro ... }], +, RowBox[{4860.,  , (L^3 r (TEngineHotFluid - TEngineWallChamber))^(1/6)}]}], )}], ^, 2}]}]}]

RowBox[{RaL = , , RowBox[{2.69075*10^20,  , L^3,  , r,  , (TEngineHotFluid - TEngineWallChamber)}]}]

RowBox[{Pr = , , 0.498}]

RowBox[{ NuL = , , RowBox[{RowBox[{RowBox[{(, RowBox[{RowBox[{0.825, }], +, Ro ... , +, RowBox[{4315.22,  , (L^3 r (TEngineHotFluid - TEngineWallChamber))^(1/6)}]}], )}], ^, 2}]}]}]

hotsidemixed, hotside_forced

Hotside mixed convection

                                                                                               ...                                                                                                  0

<br />TEngineWallChamber=. ; <br />TEngineWallInner=. ; <br />nominalcombustantsvelocity = 0 ; <br />qlocal =. ;

Null^4

RowBox[{RowBox[{If, [, RowBox[{False, ,, (* 420m/s 5000psi case *), , RowBox[{TChamber ... #961;local, ;}],  , (* density at freestream *), , ,}], ]}], ;}], , <br />}] Null

<br />    <br />chamberPressure = .6 * (densityFuel *   rotationalVelocity^2)/2 ; velocity = {rotationalVelocity -> nominalrotationvelocity} ;

fakePr = (cp μlocal)/gasthermalConductivity ; <br /><br />rATr = combustionChamberHeight/2 ; Print["Pr = ", Pr, " fakepr = ", fakePr] ;

RowBox[{Pr = , , 0.5228, ,  fakepr = , , 0.522988}]

physics_hot_boundary_layer_forced_convection

  key physics hot boundary forced  convection from Sutton  (rTop/r) is the s ... up due to conservaton of angular monemtum as the gas goes to the center . 

keycoolingequation

key cooling equation

keycoolingequation

cooling equation key

RowBox[{RowBox[{velocityexpression = ((rTop/r - r/rTop)) ;, , StyleBox[RowBox[{RowBox[ ... .410163, 0.121096]], , , qabstractforcedhotside = qabstractforcedhotside1 ;}],  }]

                                                                                               ... ;rATr = combustionChamberHeight/2 ; geffective = ω^2r ; tmpT = 1500 ;

RowBox[{qabstractforcedhotside1, , RowBox[{RowBox[{(, RowBox[{268.043,  , RowBox[{(((3 ... alVelocity), ^, 0.8}],  , TEngineHotFluid}], )}], /, RowBox[{combustionChamberHeight, ^, 0.2}]}]}]

RowBox[{qabstractforcedhotside2, , RowBox[{RowBox[{(, RowBox[{268.043,  , RowBox[{(((3 ...  , (TEngineHotFluid - TEngineWallChamber)}], )}], /, RowBox[{combustionChamberHeight, ^, 0.2}]}]}]

RowBox[{ρam = , , RowBox[{RowBox[{(, RowBox[{52.243,  , TEngineHotFluid}], )}], /, (TEngineHotFluid - TEngineWallChamber)}]}]

RowBox[{ρprime = , , 52.243}]

RowBox[{bogus factor = , , RowBox[{RowBox[{(, RowBox[{1.,  , TEngineHotFluid}], )}], /, (TEngineHotFluid - TEngineWallChamber)}]}]

RowBox[{bogus factorp = , , RowBox[{RowBox[{(, RowBox[{1.,  , TEngineHotFluid}], )}], /, (TEngineHotFluid - TEngineWallChamber)}]}]

RowBox[{bogus factoru = , , 1.}]

                                   .2 RowBox[{(4 combustionChamberHeight)   = , , 0.65647}]

RowBox[{qabstractforcedhotside1, , RowBox[{RowBox[{(, RowBox[{271.586,  , RowBox[{(((3 ...  , (TEngineHotFluid - TEngineWallChamber)}], )}], /, RowBox[{combustionChamberHeight, ^, 0.2}]}]}]

RowBox[{qabstractforcedhotside2, , RowBox[{RowBox[{(, RowBox[{149.738,  , RowBox[{(((3 ...  , (TEngineHotFluid - TEngineWallChamber)}], )}], /, RowBox[{combustionChamberHeight, ^, 0.2}]}]}]

ρam = 98

ρprime = 48

RowBox[{bogus factor = , , 1.81374}]

bogus factorp = 49/24

RowBox[{bogus factoru = , , 0.888362}]

                                   .2 RowBox[{(4 combustionChamberHeight)   = , , 0.65647}]

RowBox[{RowBox[{smellyconstant,  , =,  , RowBox[{RowBox[{RowBox[{RowBox[{RowBox[{RowBox[{RowBo ... Print["smellyconstant = ", smellyconstant] ; Print["smellyhg = ", smellyhg] ;

RowBox[{tmp0 complete  = , , 1.99833*10^6}]

RowBox[{tmp1 complete = , , 1.99833*10^6}]

RowBox[{tmp2 temp diff  = , , 1310.95}]

                                        .2 RowBox[{tmp3  (cp  μlocal  )= , , 389.244}]

RowBox[{tmp4  cp = , , 2530.}]

                           .2 RowBox[{tmp5 (  μlocal  ) = , , 0.153851}]

RowBox[{tmp6 (TEngineHotFluid-TEngineWallChamber) (cp ) = , , 3.3167*10^6}]

RowBox[{tmp7 =except v & t , , 0.602504}]

RowBox[{tmp9 = , , 150.621}]

RowBox[{qabstract top =  , , 641363.}]

RowBox[{qabstract mid =  , , 1.64812*10^8}]

RowBox[{qabstract bot =  = , , 4.16958*10^8}]

RowBox[{vebstract top =  , , 0.}]

RowBox[{vebstract mid =  , , 0.833333}]

RowBox[{vebstract bot =  = , , 2.66667}]

RowBox[{smellyconstant = , , RowBox[{710.908,  , TEngineHotFluid}]}]

RowBox[{smellyhg = , , 1524.34}]

(*Qfree = 2 π 2^(1/2) ∫_arBot^arTopr qabstractfreehotside r/.geometry ; *)& ... 54;tmpT/.L-> arTop - arBot/.arToprTop/.arBotrBot/.geometry ; *)

RowBox[{ggfhq foo value = , , 0.805712}]

RowBox[{ggfake  value = , , RowBox[{2,  , 2^(1/2),  , π,  , RowBox[{(,  ... (-arBot + arTop),  , combustionChamberHeight,  , RowBox[{rotationalVelocity, ^, 0.8}]}]}], )}]}]}]

RowBox[{ggfake   = , , 0.805712}]

RowBox[{foo area = , , 0.00825515}]

RowBox[{ggfake/fooarea = , , 97.6012}]

Null^7

2 + 2

4

(*Qforcedpersqm = smellyconstant * ggfhq ; Qforced = Qforcedpersqm * (areaOfCo ... elocity]/.TEngineHotFluidTChamberHotGasChamber/.TEngineWallChambertmpT] ; 

RowBox[{smellyconstant = , , RowBox[{710.908,  , TEngineHotFluid}]}]

RowBox[{ggfhq = , , RowBox[{2,  , 2^(1/2),  , π,  , RowBox[{(, RowBox[{RowBox[{Ro ... (-arBot + arTop),  , combustionChamberHeight,  , RowBox[{rotationalVelocity, ^, 0.8}]}]}], )}]}]}]

RowBox[{Qforced = , , RowBox[{6316.96,  , RowBox[{(, RowBox[{RowBox[{RowBox[{(, RowBox ...  combustionChamberHeight,  , RowBox[{rotationalVelocity, ^, 0.8}]}]}], )}],  , TEngineHotFluid}]}]

Qfree = Qfree

RowBox[{Q = , , RowBox[{6316.96,  , RowBox[{(, RowBox[{RowBox[{RowBox[{(, RowBox[{2,   ...  combustionChamberHeight,  , RowBox[{rotationalVelocity, ^, 0.8}]}]}], )}],  , TEngineHotFluid}]}]

RowBox[{areaOfCombustionChamber/2 =, , 0.00825515}]

RowBox[{value of Qforced = , , 1.61008*10^6}]

value of Qfree = Qfree

RowBox[{value of Q = , , 1.61008*10^6}]

RowBox[{Q = , , 1.61008*10^6}]

RowBox[{Q outer , , 460022.}]

RowBox[{Q inner , , 1.15005*10^6}]

RowBox[{nominalFuelFlowMass = , , 4.27978}]

temperaturerise

<a href=Calculations of temperature rise in LOX and propane" width="706" height="47" align="absmiddle" />

qperkey2

RowBox[{, RowBox[{Print["O2WeightRich = ", O2WeightRich] ;, , ᡝ ... er, velocity]/.TEngineHotFluidTChamberHotGasChamber/.TEngineWallChambertmpT] ;}]}]

qperkey2

RowBox[{O2WeightRich = , , RowBox[{RowBox[{(, RowBox[{0.00010858,  , combustionChamberHeight^3,  , densityFuel,  , rotationalVelocity^2}], )}], /, lStar}]}]

qperkey2

RowBox[{propaneWeightRich = , , RowBox[{RowBox[{(, RowBox[{0.0000597192,  , combustionChamberHeight^3,  , densityFuel,  , rotationalVelocity^2}], )}], /, lStar}]}]

qperkey2

RowBox[{Hot Q per kilogram of O2 = , , 136249.}]

qperkey2

RowBox[{ per sqmeter LOX = , , 4.87598*10^7}]

qperkey2

RowBox[{hot aprox degrees O2 temperature rise , , 97.3209}]

qperkey2

RowBox[{localq = , , RowBox[{572.787,  , TEngineHotFluid}]}]

qperkey2

RowBox[{nominalFuelFlowMass = , , RowBox[{RowBox[{(, RowBox[{0.0001683,  , combustionChamberHeight^3,  , densityFuel,  , rotationalVelocity^2}], )}], /, lStar}]}]

qperkey2

RowBox[{O2WeightRich = , , RowBox[{RowBox[{(, RowBox[{0.00010858,  , combustionChamberHeight^3,  , densityFuel,  , rotationalVelocity^2}], )}], /, lStar}]}]

qperkey2

RowBox[{qPerKeyO2 = , , 136249.}]

qperkey2

RowBox[{RowBox[{RowBox[{thermalconductivitymetal,  , =,  , 15.7}], ;}],  , }] Print[ & ... t;, qamid  ] ; Print[ "qabstract bot =  = ", qabot  ] ;

qperkey2

RowBox[{TubesToChamberWallInnerBot value = , , 0.003}]

qperkey2

RowBox[{tdelta at bottom wall = , , 79673.5}]

qperkey2

RowBox[{tdelta at bottom wallstandard = , , 13278.9, ,  bogosity = , , 8.85262}]

qperkey2

RowBox[{tdelta at mid wall = , , 31492.7}]

qperkey2

RowBox[{tdelta at top wall = , , 130.735}]

qperkey2

RowBox[{bogofactors = , , 53.1157, ,  , , 20.9951, ,  , , 0.0871569}]

qperkey2

RowBox[{qabstract top =  , , 641363.}]

qperkey2

RowBox[{qabstract mid =  , , 1.64812*10^8}]

qperkey2

RowBox[{qabstract bot =  = , , 4.16958*10^8}]

qperkey2

qPerKeypropane = localq/(nominalFuelFlowMass propaneWeightRich) ; <br />localq ... O2/cplox/.TEngineHotFluidTChamberHotGasChamber/.TEngineWallChambertmpT] ; 

qperkey2

RowBox[{Hot Q per kilogram of propane = , , 247726.}]

qperkey2

RowBox[{hot aprox degrees propane temperature rise , , 127.039}]

qperkey2

RowBox[{hot aprox degrees O2 temperature rise , , 97.3209}]

nozzle_thermal_transfer

Nozzle thermal transfer

TEngineWallChamber=. ; TEngineWallInner=. ; qlocal =. ; μ=. ; ϕ=. ; RowBox[{RowBox[{ ...  ρam ; β = 1 ;  Print["RaL = ", RaL] ; Print["Pr = ", Pr] ;

RowBox[{RaL = , , RowBox[{2.69075*10^20,  , L^3,  , r,  , (TEngineHotFluid - TNozzle)}]}]

RowBox[{Pr = , , 0.498}]

nozzleAnglesubsonic = 45 π/180 ; nozzleAnglesupersonic = 15 π/180 ; doo =  &nbs ... (nozzlevelocity[l, nozzleAnglesubsonic, nozzleAnglesupersonic]), ^, 0.8}]}],  , )}]}], )}]}], ;}]

nozzleThroatRadius^2/localnozzler^2

Print["qnozzleqabstractforced = ", qnozzleqabstractforced] ; (* integrate ov ... ernozzleheat /.geometry/.metal] ; Print["nozzleheat = ", nozzleheat/.geometry/.metal] ;

cooling_combined

Combined Hot & cold thermal balance and temperatures distribution





(*Print["goodness ratio = ",localconvectionQ/localqPerKeyhot/.geometry ];

Solve [localqPerKeyhot == - localconvectionQ/.TDelta ->2]
Solve [localqPerKeyhot ==- localconvectionQ/.TEngineWallInner->103/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == - localconvectionQ/.TEngineWallInner->104/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->105/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->106/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->107/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot ==- localconvectionQ/.TEngineWallInner->108/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot ==- localconvectionQ/.TEngineWallInner->109/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot ==- localconvectionQ/.TEngineWallInner->110/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot ==- localconvectionQ/.TEngineWallInner->111/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->112/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot ==- localconvectionQ/.TEngineWallInner->113/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == - localconvectionQ/.TEngineWallInner->114/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->115/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->116/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->117/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->118/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->119/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->120/.TFluid ->100,TEngineWallChamber]
120
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->121/.TFluid ->100,TEngineWallChamber]
121
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->122/.TFluid ->100,TEngineWallChamber]
122
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->123/.TFluid ->100,TEngineWallChamber]
123
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->124/.TFluid ->100,TEngineWallChamber]
124:
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->125/.TFluid ->100,TEngineWallChamber]
125:
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->130/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->135/.TFluid ->100,TEngineWallChamber]
Solve [localqPerKeyhot == -localconvectionQ/.TEngineWallInner->140/.TFluid ->100,TEngineWallChamber]*)



startup

Startup

 MaxMemoryUsed[ ] MemoryInUse[ ]

4589155208619072

propulsion


results

results

Show[g1, g2, AspectRatio-> Automatic]

[Graphics:HTMLFiles/xxrocket_heatfeb15_2004htmlized_395.gif]

⁃Graphics⁃

RowBox[{ , RowBox[{ω =. ; <br />radialelongation = . ; <br />modulusElasticity =. ; <br / ... 371;, )}]}], ]}]}],  , (* j *), , (*Print["foo "] ; *), , )}]}], ]}]}]}]

RowBox[{stainlesssteel420, ,  thrust = , , 100, ,  chht , , 0.0119781, ,  vol in^3 = , , 0.329466}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.00316228 0.000464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 146.447 0.682843 0.031209 0.103866 RowBox[{RowBox[{0.010485, }], +, RowBox[{0.010485, , i}]}] 0 0
0.00316228 0.000696238 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] 142.362 0.702436 0.0316732 0.105411 RowBox[{RowBox[{0.00763587, }], +, RowBox[{0.00763587, , i}]}] 0 0
0.00316228 0.000928318 88669.3 138.468 0.722188 0.0321374 0.106956 0.00811988 0 0
0.00316228 0.0011604 63939.7 134.754 0.742096 0.0326015 0.108501 0.0111735 0 0
0.00316228 0.00162456 44439.1 127.817 0.782369 0.0335298 0.11159 0.0131036 0 0
0.00316228 0.00185664 39416.1 124.575 0.802731 0.033994 0.113135 0.013609 0 0
0.00316228 0.00208871 35874.2 121.471 0.823239 0.0344582 0.11468 0.0139929 0 0
0.00316228 0.00232079 33313. 118.498 0.843893 0.0349223 0.116224 0.0143017 0 0
0.00316228 0.00255287 31439.5 115.649 0.864689 0.0353865 0.117769 0.0145604 0 0
0.00316228 0.00278495 30069.6 112.915 0.885625 0.0358506 0.119314 0.0147839 0 0
0.00316228 0.00301703 29080.9 110.29 0.906699 0.0363148 0.120859 0.0149817 0 0
0.00316228 0.00324911 28389.4 107.769 0.927909 0.036779 0.122403 0.0151602 0 0
0.00316228 0.00348119 27934.7 105.346 0.949253 0.0372431 0.123948 0.0153235 0 0
0.00316228 0.00371327 27672.9 103.015 0.970729 0.0377073 0.125493 0.015475 0 0
0.00316228 0.00394535 27570.9 100.773 0.992333 0.0381714 0.127038 0.0156169 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 1000, ,  chht , , 0.025806, ,  vol in^3 = , , 3.29466}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.01 0.001 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 398.483 2.50952 0.073612 0.244987 RowBox[{RowBox[{0.0225893, }], +, RowBox[{0.0225893, , i}]}] 0 0
0.01 0.0015 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] 387.607 2.57993 0.074612 0.248315 RowBox[{RowBox[{0.016451, }], +, RowBox[{0.016451, , i}]}] 0 0
0.01 0.002 88669.3 377.308 2.65035 0.075612 0.251643 0.0174937 0 0
0.01 0.0025 63939.7 367.544 2.72077 0.076612 0.254971 0.0240726 0 0
0.01 0.0035 44439.1 349.472 2.86146 0.078612 0.261627 0.0282309 0 0
0.01 0.004 39416.1 341.099 2.9317 0.079612 0.264955 0.0293196 0 0
0.01 0.0045 35874.2 333.129 3.00184 0.080612 0.268284 0.0301468 0 0
0.01 0.005 33313. 325.536 3.07186 0.081612 0.271612 0.0308121 0 0
0.01 0.0055 31439.5 318.296 3.14173 0.082612 0.27494 0.0313694 0 0
0.01 0.006 30069.6 311.387 3.21143 0.083612 0.278268 0.031851 0 0
0.01 0.0065 29080.9 304.79 3.28095 0.084612 0.281596 0.0322772 0 0
0.01 0.007 28389.4 298.485 3.35025 0.085612 0.284924 0.0326616 0 0
0.01 0.0075 27934.7 292.456 3.41932 0.086612 0.288252 0.0330136 0 0
0.01 0.008 27672.9 286.687 3.48813 0.087612 0.29158 0.0333399 0 0
0.01 0.0085 27570.9 281.162 3.55666 0.088612 0.294908 0.0336455 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 3000, ,  chht , , 0.0372187, ,  vol in^3 = , , 9.88399}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.0173205 0.00144225 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 778.633 3.85291 0.111963 0.372622 RowBox[{RowBox[{0.0325795, }], +, RowBox[{0.0325795, , i}]}] 0 0
0.0173205 0.00216337 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] 756.788 3.96412 0.113405 0.377422 RowBox[{RowBox[{0.0237264, }], +, RowBox[{0.0237264, , i}]}] 0 0
0.0173205 0.0028845 88669.3 736.356 4.07412 0.114847 0.382222 0.0252304 0 0
0.0173205 0.00360562 63939.7 717.219 4.18282 0.11629 0.387022 0.0347187 0 0
0.0173205 0.00504787 44439.1 682.422 4.3961 0.119174 0.396622 0.040716 0 0
0.0173205 0.005769 39416.1 666.586 4.50055 0.120616 0.401422 0.0422862 0 0
0.0173205 0.00649012 35874.2 651.688 4.60343 0.122059 0.406221 0.0434792 0 0
0.0173205 0.00721125 33313. 637.66 4.7047 0.123501 0.411021 0.0444387 0 0
0.0173205 0.00793237 31439.5 624.444 4.80428 0.124943 0.415821 0.0452425 0 0
0.0173205 0.0086535 30069.6 611.982 4.9021 0.126385 0.420621 0.0459371 0 0
0.0173205 0.00937462 29080.9 600.228 4.9981 0.127828 0.425421 0.0465518 0 0
0.0173205 0.0100957 28389.4 589.134 5.09222 0.12927 0.430221 0.0471061 0 0
0.0173205 0.0108169 27934.7 578.661 5.18438 0.130712 0.435021 0.0476138 0 0
0.0173205 0.011538 27672.9 568.772 5.27452 0.132154 0.439821 0.0480844 0 0
0.0173205 0.0122591 27570.9 559.432 5.36258 0.133597 0.444621 0.0485253 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 10000, ,  chht , , 0.0555973, ,  vol in^3 = , , 32.9466}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.0316228 0.00215443 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 2881. 3.47101 0.178749 0.594892 RowBox[{RowBox[{0.0486673, }], +, RowBox[{0.0486673, , i}]}] 0 0
0.0316228 0.00323165 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] 2783.56 3.59252 0.180904 0.602062 RowBox[{RowBox[{0.0354426, }], +, RowBox[{0.0354426, , i}]}] 0 0
0.0316228 0.00430887 88669.3 2697.72 3.70684 0.183058 0.609232 0.0376891 0 0
0.0316228 0.00538609 63939.7 2622.1 3.81374 0.185212 0.616403 0.0518629 0 0
0.0316228 0.00754052 44439.1 2497.24 4.00442 0.189521 0.630743 0.0608217 0 0
0.0316228 0.00861774 39416.1 2446.33 4.08776 0.191676 0.637913 0.0631672 0 0
0.0316228 0.00969496 35874.2 2402.24 4.16279 0.19383 0.645083 0.0649493 0 0
0.0316228 0.0107722 33313. 2364.46 4.2293 0.195985 0.652253 0.0663826 0 0
0.0316228 0.0118494 31439.5 2332.6 4.28707 0.198139 0.659423 0.0675834 0 0
0.0316228 0.0129266 30069.6 2306.34 4.33587 0.200293 0.666593 0.0686209 0 0
0.0316228 0.0140038 29080.9 2285.46 4.37548 0.202448 0.673764 0.0695391 0 0
0.0316228 0.015081 28389.4 2269.79 4.40569 0.204602 0.680934 0.0703672 0 0
0.0316228 0.0161583 27934.7 2259.24 4.42626 0.206757 0.688104 0.0711255 0 0
0.0316228 0.0172355 27672.9 2253.79 4.43698 0.208911 0.695274 0.0718286 0 0
0.0316228 0.0183127 27570.9 2253.46 4.43762 0.211066 0.702444 0.0724871 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 50000, ,  chht , , 0.0950701, ,  vol in^3 = , , 164.733}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.0416197 0.00368403 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] RowBox[{-, 2197.44}] RowBox[{-, 22.7537}] 0.280748 0.934352 RowBox[{RowBox[{0.0832198, }], +, RowBox[{0.0832198, , i}]}] 0 0
0.0416197 0.00552605 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] RowBox[{-, 2155.74}] RowBox[{-, 23.1939}] 0.284432 0.946613 RowBox[{RowBox[{0.0606059, }], +, RowBox[{0.0606059, , i}]}] 0 0
0.0416197 0.00736806 88669.3 RowBox[{-, 2111.2}] RowBox[{-, 23.6832}] 0.288116 0.958874 0.0644475 0 0
0.0416197 0.00921008 63939.7 RowBox[{-, 2064.19}] RowBox[{-, 24.2226}] 0.2918 0.971135 0.0886843 0 0
0.0416197 0.0128941 44439.1 RowBox[{-, 1964.14}] RowBox[{-, 25.4564}] 0.299168 0.995656 0.104004 0 0
0.0416197 0.0147361 39416.1 RowBox[{-, 1911.83}] RowBox[{-, 26.153}] 0.302852 1.00792 0.108014 0 0
0.0416197 0.0165781 35874.2 RowBox[{-, 1858.45}] RowBox[{-, 26.9042}] 0.306536 1.02018 0.111062 0 0
0.0416197 0.0184202 33313. RowBox[{-, 1804.33}] RowBox[{-, 27.7111}] 0.31022 1.03244 0.113513 0 0
0.0416197 0.0202622 31439.5 RowBox[{-, 1749.79}] RowBox[{-, 28.5749}] 0.313904 1.0447 0.115566 0 0
0.0416197 0.0221042 30069.6 RowBox[{-, 1695.11}] RowBox[{-, 29.4966}] 0.317588 1.05696 0.11734 0 0
0.0416197 0.0239462 29080.9 RowBox[{-, 1640.57}] RowBox[{-, 30.4773}] 0.321272 1.06922 0.11891 0 0
0.0416197 0.0257882 28389.4 RowBox[{-, 1586.38}] RowBox[{-, 31.5182}] 0.324956 1.08148 0.120326 0 0
0.0416197 0.0276302 27934.7 RowBox[{-, 1532.78}] RowBox[{-, 32.6204}] 0.32864 1.09374 0.121623 0 0
0.0416197 0.0294723 27672.9 RowBox[{-, 1479.95}] RowBox[{-, 33.7849}] 0.332324 1.106 0.122825 0 0
0.0416197 0.0313143 27570.9 RowBox[{-, 1428.04}] RowBox[{-, 35.013}] 0.336008 1.11826 0.123951 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 100000, ,  chht , , 0.119781, ,  vol in^3 = , , 329.466}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.05 0.00464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] RowBox[{-, 1448.04}] RowBox[{-, 69.0591}] 0.348845 1.16099 RowBox[{RowBox[{0.10485, }], +, RowBox[{0.10485, , i}]}] 0 0
0.05 0.00696238 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] RowBox[{-, 1417.47}] RowBox[{-, 70.5483}] 0.353486 1.17643 RowBox[{RowBox[{0.0763587, }], +, RowBox[{0.0763587, , i}]}] 0 0
0.05 0.00928318 88669.3 RowBox[{-, 1386.13}] RowBox[{-, 72.1433}] 0.358128 1.19188 0.0811988 0 0
0.05 0.011604 63939.7 RowBox[{-, 1354.16}] RowBox[{-, 73.8463}] 0.36277 1.20733 0.111735 0 0
0.05 0.0162456 44439.1 RowBox[{-, 1288.91}] RowBox[{-, 77.5849}] 0.372053 1.23822 0.131036 0 0
0.05 0.0185664 39416.1 RowBox[{-, 1255.89}] RowBox[{-, 79.6251}] 0.376694 1.25367 0.13609 0 0
0.05 0.0208871 35874.2 RowBox[{-, 1222.76}] RowBox[{-, 81.7821}] 0.381336 1.26912 0.139929 0 0
0.05 0.0232079 33313. RowBox[{-, 1189.65}] RowBox[{-, 84.0581}] 0.385978 1.28457 0.143017 0 0
0.05 0.0255287 31439.5 RowBox[{-, 1156.66}] RowBox[{-, 86.4555}] 0.390619 1.30001 0.145604 0 0
0.05 0.0278495 30069.6 RowBox[{-, 1123.89}] RowBox[{-, 88.9763}] 0.395261 1.31546 0.147839 0 0
0.05 0.0301703 29080.9 RowBox[{-, 1091.43}] RowBox[{-, 91.6229}] 0.399902 1.33091 0.149817 0 0
0.05 0.0324911 28389.4 RowBox[{-, 1059.35}] RowBox[{-, 94.3974}] 0.404544 1.34636 0.151602 0 0
0.05 0.0348119 27934.7 RowBox[{-, 1027.73}] RowBox[{-, 97.302}] 0.409186 1.3618 0.153235 0 0
0.05 0.0371327 27672.9 RowBox[{-, 996.621}] RowBox[{-, 100.339}] 0.413827 1.37725 0.15475 0 0
0.05 0.0394535 27570.9 RowBox[{-, 966.084}] RowBox[{-, 103.511}] 0.418469 1.3927 0.156169 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 300000, ,  chht , , 0.172754, ,  vol in^3 = , , 988.399}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.0699219 0.00669433 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] RowBox[{-, 1031.09}] RowBox[{-, 290.953}] 0.49874 1.65985 RowBox[{RowBox[{0.15122, }], +, RowBox[{0.15122, , i}]}] 0 0
0.0699219 0.0100415 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] RowBox[{-, 1008.15}] RowBox[{-, 297.576}] 0.505435 1.68213 RowBox[{RowBox[{0.110128, }], +, RowBox[{0.110128, , i}]}] 0 0
0.0699219 0.0133887 88669.3 RowBox[{-, 985.085}] RowBox[{-, 304.542}] 0.512129 1.70441 0.117109 0 0
0.0699219 0.0167358 63939.7 RowBox[{-, 961.97}] RowBox[{-, 311.86}] 0.518823 1.72669 0.16115 0 0
0.0699219 0.0234302 44439.1 RowBox[{-, 915.822}] RowBox[{-, 327.575}] 0.532212 1.77125 0.188987 0 0
0.0699219 0.0267773 39416.1 RowBox[{-, 892.897}] RowBox[{-, 335.985}] 0.538906 1.79353 0.196275 0 0
0.0699219 0.0301245 35874.2 RowBox[{-, 870.139}] RowBox[{-, 344.773}] 0.545601 1.8158 0.201813 0 0
0.0699219 0.0334716 33313. RowBox[{-, 847.591}] RowBox[{-, 353.944}] 0.552295 1.83808 0.206266 0 0
0.0699219 0.0368188 31439.5 RowBox[{-, 825.293}] RowBox[{-, 363.507}] 0.558989 1.86036 0.209997 0 0
0.0699219 0.040166 30069.6 RowBox[{-, 803.283}] RowBox[{-, 373.467}] 0.565684 1.88264 0.213221 0 0
0.0699219 0.0435131 29080.9 RowBox[{-, 781.593}] RowBox[{-, 383.832}] 0.572378 1.90492 0.216074 0 0
0.0699219 0.0468603 28389.4 RowBox[{-, 760.251}] RowBox[{-, 394.607}] 0.579072 1.9272 0.218647 0 0
0.0699219 0.0502075 27934.7 RowBox[{-, 739.282}] RowBox[{-, 405.799}] 0.585767 1.94948 0.221004 0 0
0.0699219 0.0535546 27672.9 RowBox[{-, 718.708}] RowBox[{-, 417.416}] 0.592461 1.97176 0.223188 0 0
0.0699219 0.0569018 27570.9 RowBox[{-, 698.547}] RowBox[{-, 429.463}] 0.599155 1.99404 0.225234 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 500000, ,  chht , , 0.204822, ,  vol in^3 = , , 1647.33}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.0828489 0.00793701 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] RowBox[{-, 935.393}] RowBox[{-, 534.535}] 0.591217 1.96762 RowBox[{RowBox[{0.179292, }], +, RowBox[{0.179292, , i}]}] 0 0
0.0828489 0.0119055 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] RowBox[{-, 914.338}] RowBox[{-, 546.844}] 0.599154 1.99403 RowBox[{RowBox[{0.130571, }], +, RowBox[{0.130571, , i}]}] 0 0
0.0828489 0.015874 88669.3 RowBox[{-, 893.267}] RowBox[{-, 559.743}] 0.607091 2.02045 0.138848 0 0
0.0828489 0.0198425 63939.7 RowBox[{-, 872.232}] RowBox[{-, 573.242}] 0.615028 2.04686 0.191064 0 0
0.0828489 0.0277795 44439.1 RowBox[{-, 830.444}] RowBox[{-, 602.088}] 0.630902 2.09969 0.224069 0 0
0.0828489 0.031748 39416.1 RowBox[{-, 809.775}] RowBox[{-, 617.456}] 0.638839 2.12611 0.23271 0 0
0.0828489 0.0357165 35874.2 RowBox[{-, 789.305}] RowBox[{-, 633.469}] 0.646776 2.15252 0.239275 0 0
0.0828489 0.039685 33313. RowBox[{-, 769.067}] RowBox[{-, 650.138}] 0.654713 2.17894 0.244556 0 0
0.0828489 0.0436535 31439.5 RowBox[{-, 749.092}] RowBox[{-, 667.475}] 0.66265 2.20535 0.248979 0 0
0.0828489 0.047622 30069.6 RowBox[{-, 729.406}] RowBox[{-, 685.49}] 0.670587 2.23177 0.252802 0 0
0.0828489 0.0515905 29080.9 RowBox[{-, 710.032}] RowBox[{-, 704.194}] 0.678524 2.25818 0.256184 0 0
0.0828489 0.055559 28389.4 RowBox[{-, 690.991}] RowBox[{-, 723.599}] 0.686461 2.2846 0.259235 0 0
0.0828489 0.0595275 27934.7 RowBox[{-, 672.3}] RowBox[{-, 743.715}] 0.694398 2.31101 0.262029 0 0
0.0828489 0.063496 27672.9 RowBox[{-, 653.975}] RowBox[{-, 764.555}] 0.702335 2.33743 0.264619 0 0
0.0828489 0.0674645 27570.9 RowBox[{-, 636.029}] RowBox[{-, 786.128}] 0.710272 2.36384 0.267045 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 1000000, ,  chht , , 0.25806, ,  vol in^3 = , , 3294.66}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.105409 0.01 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] RowBox[{-, 847.768}] RowBox[{-, 1179.57}] 0.746939 2.48587 RowBox[{RowBox[{0.225893, }], +, RowBox[{0.225893, , i}]}] 0 0
0.105409 0.015 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] RowBox[{-, 828.492}] RowBox[{-, 1207.01}] 0.756939 2.51916 RowBox[{RowBox[{0.16451, }], +, RowBox[{0.16451, , i}]}] 0 0
0.105409 0.02 88669.3 RowBox[{-, 809.277}] RowBox[{-, 1235.67}] 0.766939 2.55244 0.174937 0 0
0.105409 0.025 63939.7 RowBox[{-, 790.16}] RowBox[{-, 1265.57}] 0.776939 2.58572 0.240726 0 0
0.105409 0.035 44439.1 RowBox[{-, 752.356}] RowBox[{-, 1329.16}] 0.796939 2.65228 0.282309 0 0
0.105409 0.04 39416.1 RowBox[{-, 733.731}] RowBox[{-, 1362.9}] 0.806939 2.68556 0.293196 0 0
0.105409 0.045 35874.2 RowBox[{-, 715.327}] RowBox[{-, 1397.96}] 0.816939 2.71884 0.301468 0 0
0.105409 0.05 33313. RowBox[{-, 697.168}] RowBox[{-, 1434.37}] 0.826939 2.75212 0.308121 0 0
0.105409 0.055 31439.5 RowBox[{-, 679.276}] RowBox[{-, 1472.16}] 0.836939 2.7854 0.313694 0 0
0.105409 0.06 30069.6 RowBox[{-, 661.669}] RowBox[{-, 1511.33}] 0.846939 2.81868 0.31851 0 0
0.105409 0.065 29080.9 RowBox[{-, 644.364}] RowBox[{-, 1551.92}] 0.856939 2.85196 0.322772 0 0
0.105409 0.07 28389.4 RowBox[{-, 627.375}] RowBox[{-, 1593.94}] 0.866939 2.88524 0.326616 0 0
0.105409 0.075 27934.7 RowBox[{-, 610.714}] RowBox[{-, 1637.43}] 0.876939 2.91853 0.330136 0 0
0.105409 0.08 27672.9 RowBox[{-, 594.392}] RowBox[{-, 1682.39}] 0.886939 2.95181 0.333399 0 0
0.105409 0.085 27570.9 RowBox[{-, 578.416}] RowBox[{-, 1728.86}] 0.896939 2.98509 0.336455 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 1500000, ,  chht , , 0.295405, ,  vol in^3 = , , 4942.}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.121942 0.0114471 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] RowBox[{-, 810.769}] RowBox[{-, 1850.09}] 0.857588 2.85412 RowBox[{RowBox[{0.258583, }], +, RowBox[{0.258583, , i}]}] 0 0
0.121942 0.0171707 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] RowBox[{-, 792.258}] RowBox[{-, 1893.32}] 0.869035 2.89222 RowBox[{RowBox[{0.188317, }], +, RowBox[{0.188317, , i}]}] 0 0
0.121942 0.0228943 88669.3 RowBox[{-, 773.834}] RowBox[{-, 1938.4}] 0.880482 2.93032 0.200253 0 0
0.121942 0.0286179 63939.7 RowBox[{-, 755.532}] RowBox[{-, 1985.36}] 0.891929 2.96842 0.275563 0 0
0.121942 0.040065 44439.1 RowBox[{-, 719.408}] RowBox[{-, 2085.05}] 0.914824 3.04461 0.323163 0 0
0.121942 0.0457886 39416.1 RowBox[{-, 701.641}] RowBox[{-, 2137.85}] 0.926271 3.08271 0.335626 0 0
0.121942 0.0515121 35874.2 RowBox[{-, 684.101}] RowBox[{-, 2192.66}] 0.937718 3.1208 0.345095 0 0
0.121942 0.0572357 33313. RowBox[{-, 666.809}] RowBox[{-, 2249.52}] 0.949165 3.1589 0.35271 0 0
0.121942 0.0629593 31439.5 RowBox[{-, 649.783}] RowBox[{-, 2308.46}] 0.960612 3.197 0.35909 0 0
0.121942 0.0686829 30069.6 RowBox[{-, 633.04}] RowBox[{-, 2369.52}] 0.972059 3.2351 0.364603 0 0
0.121942 0.0744064 29080.9 RowBox[{-, 616.594}] RowBox[{-, 2432.72}] 0.983506 3.27319 0.369482 0 0
0.121942 0.08013 28389.4 RowBox[{-, 600.455}] RowBox[{-, 2498.1}] 0.994954 3.31129 0.373882 0 0
0.121942 0.0858536 27934.7 RowBox[{-, 584.636}] RowBox[{-, 2565.7}] 1.0064 3.34939 0.377911 0 0
0.121942 0.0915771 27672.9 RowBox[{-, 569.142}] RowBox[{-, 2635.54}] 1.01785 3.38748 0.381647 0 0
0.121942 0.0973007 27570.9 RowBox[{-, 553.982}] RowBox[{-, 2707.67}] 1.0293 3.42558 0.385145 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 2000000, ,  chht , , 0.325135, ,  vol in^3 = , , 6589.33}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.135477 0.0125992 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] RowBox[{-, 788.994}] RowBox[{-, 2534.87}] 0.946423 3.14978 RowBox[{RowBox[{0.284608, }], +, RowBox[{0.284608, , i}]}] 0 0
0.135477 0.0188988 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] RowBox[{-, 770.936}] RowBox[{-, 2594.25}] 0.959022 3.19171 RowBox[{RowBox[{0.207269, }], +, RowBox[{0.207269, , i}]}] 0 0
0.135477 0.0251984 88669.3 RowBox[{-, 752.981}] RowBox[{-, 2656.11}] 0.971621 3.23364 0.220407 0 0
0.135477 0.031498 63939.7 RowBox[{-, 735.159}] RowBox[{-, 2720.5}] 0.984221 3.27557 0.303296 0 0
0.135477 0.0440972 44439.1 RowBox[{-, 700.023}] RowBox[{-, 2857.05}] 1.00942 3.35943 0.355687 0 0
0.135477 0.0503968 39416.1 RowBox[{-, 682.759}] RowBox[{-, 2929.29}] 1.02202 3.40136 0.369404 0 0
0.135477 0.0566964 35874.2 RowBox[{-, 665.725}] RowBox[{-, 3004.25}] 1.03462 3.44329 0.379826 0 0
0.135477 0.0629961 33313. RowBox[{-, 648.94}] RowBox[{-, 3081.95}] 1.04722 3.48522 0.388208 0 0
0.135477 0.0692957 31439.5 RowBox[{-, 632.421}] RowBox[{-, 3162.45}] 1.05982 3.52716 0.39523 0 0
0.135477 0.0755953 30069.6 RowBox[{-, 616.183}] RowBox[{-, 3245.79}] 1.07242 3.56909 0.401298 0 0
0.135477 0.0818949 29080.9 RowBox[{-, 600.238}] RowBox[{-, 3332.01}] 1.08501 3.61102 0.406667 0 0
0.135477 0.0881945 28389.4 RowBox[{-, 584.596}] RowBox[{-, 3421.17}] 1.09761 3.65295 0.41151 0 0
0.135477 0.0944941 27934.7 RowBox[{-, 569.266}] RowBox[{-, 3513.29}] 1.11021 3.69488 0.415945 0 0
0.135477 0.100794 27672.9 RowBox[{-, 554.256}] RowBox[{-, 3608.44}] 1.12281 3.73681 0.420056 0 0
0.135477 0.107093 27570.9 RowBox[{-, 539.572}] RowBox[{-, 3706.64}] 1.13541 3.77874 0.423907 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 3000000, ,  chht , , 0.372187, ,  vol in^3 = , , 9883.99}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.157522 0.0144225 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] RowBox[{-, 763.225}] RowBox[{-, 3930.69}] 1.08826 3.62183 RowBox[{RowBox[{0.325795, }], +, RowBox[{0.325795, , i}]}] 0 0
0.157522 0.0216337 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] RowBox[{-, 745.708}] RowBox[{-, 4023.02}] 1.10269 3.66983 RowBox[{RowBox[{0.237264, }], +, RowBox[{0.237264, , i}]}] 0 0
0.157522 0.028845 88669.3 RowBox[{-, 728.31}] RowBox[{-, 4119.13}] 1.11711 3.71783 0.252304 0 0
0.157522 0.0360562 63939.7 RowBox[{-, 711.058}] RowBox[{-, 4219.07}] 1.13153 3.76583 0.347187 0 0
0.157522 0.0504787 44439.1 RowBox[{-, 677.091}] RowBox[{-, 4430.72}] 1.16038 3.86183 0.40716 0 0
0.157522 0.05769 39416.1 RowBox[{-, 660.42}] RowBox[{-, 4542.57}] 1.1748 3.90983 0.422862 0 0
0.157522 0.0649012 35874.2 RowBox[{-, 643.982}] RowBox[{-, 4658.51}] 1.18922 3.95782 0.434792 0 0
0.157522 0.0721125 33313. RowBox[{-, 627.795}] RowBox[{-, 4778.63}] 1.20364 4.00582 0.444387 0 0
0.157522 0.0793237 31439.5 RowBox[{-, 611.873}] RowBox[{-, 4902.98}] 1.21807 4.05382 0.452425 0 0
0.157522 0.086535 30069.6 RowBox[{-, 596.228}] RowBox[{-, 5031.63}] 1.23249 4.10182 0.459371 0 0
0.157522 0.0937462 29080.9 RowBox[{-, 580.872}] RowBox[{-, 5164.65}] 1.24691 4.14982 0.465518 0 0
0.157522 0.100957 28389.4 RowBox[{-, 565.813}] RowBox[{-, 5302.1}] 1.26133 4.19782 0.471061 0 0
0.157522 0.108169 27934.7 RowBox[{-, 551.06}] RowBox[{-, 5444.06}] 1.27576 4.24582 0.476138 0 0
0.157522 0.11538 27672.9 RowBox[{-, 536.617}] RowBox[{-, 5590.58}] 1.29018 4.29382 0.480844 0 0
0.157522 0.122591 27570.9 RowBox[{-, 522.49}] RowBox[{-, 5741.74}] 1.3046 4.34182 0.485253 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 5000000, ,  chht , , 0.441276, ,  vol in^3 = , , 16473.3}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.191163 0.0170998 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] RowBox[{-, 737.156}] RowBox[{-, 6782.82}] 1.29908 4.32344 RowBox[{RowBox[{0.386272, }], +, RowBox[{0.386272, , i}]}] 0 0
0.191163 0.0256496 RowBox[{RowBox[{119594., }], -, RowBox[{41364.4, , i}]}] RowBox[{-, 720.189}] RowBox[{-, 6942.62}] 1.31618 4.38035 RowBox[{RowBox[{0.281308, }], +, RowBox[{0.281308, , i}]}] 0 0
0.191163 0.0341995 88669.3 RowBox[{-, 703.357}] RowBox[{-, 7108.77}] 1.33328 4.43726 0.299139 0 0
0.191163 0.0427494 63939.7 RowBox[{-, 686.682}] RowBox[{-, 7281.39}] 1.35038 4.49417 0.411636 0 0
0.191163 0.0598492 44439.1 RowBox[{-, 653.897}] RowBox[{-, 7646.46}] 1.38458 4.60799 0.482742 0 0
0.191163 0.068399 39416.1 RowBox[{-, 637.825}] RowBox[{-, 7839.14}] 1.40168 4.6649 0.501358 0 0
0.191163 0.0769489 35874.2 RowBox[{-, 621.989}] RowBox[{-, 8038.73}] 1.41878 4.72181 0.515503 0 0
0.191163 0.0854988 33313. RowBox[{-, 606.403}] RowBox[{-, 8245.34}] 1.43588 4.77872 0.526879 0 0
0.191163 0.0940487 31439.5 RowBox[{-, 591.08}] RowBox[{-, 8459.09}] 1.45298 4.83563 0.53641 0 0
0.191163 0.102599 30069.6 RowBox[{-, 576.032}] RowBox[{-, 8680.07}] 1.47008 4.89254 0.544645 0 0
0.191163 0.111148 29080.9 RowBox[{-, 561.267}] RowBox[{-, 8908.41}] 1.48718 4.94945 0.551932 0 0
0.191163 0.119698 28389.4 RowBox[{-, 546.794}] RowBox[{-, 9144.21}] 1.50428 5.00636 0.558505 0 0
0.191163 0.128248 27934.7 RowBox[{-, 532.618}] RowBox[{-, 9387.59}] 1.52138 5.06327 0.564524 0 0
0.191163 0.136798 27672.9 RowBox[{-, 518.744}] RowBox[{-, 9638.66}] 1.53848 5.12018 0.570104 0 0
0.191163 0.145348 27570.9 RowBox[{-, 505.177}] RowBox[{-, 9897.52}] 1.55558 5.17708 0.575331 0 0

RowBox[{aluminum, ,  thrust = , , 100, ,  chht , , 0.0119781, ,  vol in^3 = , , 0.329466}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.00316228 0.000464159 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] 405.343 0.246705 0.031209 0.103866 RowBox[{RowBox[{0.0153136, }], +, RowBox[{0.0153136, , i}]}] 0 0
0.00316228 0.000696238 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] 394.037 0.253784 0.0316732 0.105411 RowBox[{RowBox[{0.0133219, }], +, RowBox[{0.0133219, , i}]}] 0 0
0.00316228 0.000928318 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] 383.26 0.26092 0.0321374 0.106956 RowBox[{RowBox[{0.011837, }], +, RowBox[{0.011837, , i}]}] 0 0
0.00316228 0.0011604 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] 372.979 0.268112 0.0326015 0.108501 RowBox[{RowBox[{0.0105555, }], +, RowBox[{0.0105555, , i}]}] 0 0
0.00316228 0.00162456 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] 353.779 0.282662 0.0335298 0.11159 RowBox[{RowBox[{0.00792182, }], +, RowBox[{0.00792182, , i}]}] 0 0
0.00316228 0.00185664 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] 344.805 0.290019 0.033994 0.113135 RowBox[{RowBox[{0.00586666, }], +, RowBox[{0.00586666, , i}]}] 0 0
0.00316228 0.00208871 35313.5 336.215 0.297428 0.0344582 0.11468 0.00799721 0 0
0.00316228 0.00232079 29305.8 327.987 0.30489 0.0349223 0.116224 0.0103323 0 0
0.00316228 0.00255287 25686. 320.099 0.312404 0.0353865 0.117769 0.0115186 0 0
0.00316228 0.00278495 23129.1 312.532 0.319968 0.0358506 0.119314 0.0123137 0 0
0.00316228 0.00301703 21213.6 305.267 0.327582 0.0363148 0.120859 0.0129072 0 0
0.00316228 0.00324911 19733.8 298.29 0.335245 0.036779 0.122403 0.0133781 0 0
0.00316228 0.00348119 18570. 291.583 0.342956 0.0372431 0.123948 0.0137674 0 0
0.00316228 0.00371327 17645.9 285.132 0.350715 0.0377073 0.125493 0.0140987 0 0
0.00316228 0.00394535 16909.1 278.924 0.35852 0.0381714 0.127038 0.0143873 0 0

RowBox[{aluminum, ,  thrust = , , 1000, ,  chht , , 0.025806, ,  vol in^3 = , , 3.29466}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.01 0.001 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] 1102.94 0.906665 0.073612 0.244987 RowBox[{RowBox[{0.0329922, }], +, RowBox[{0.0329922, , i}]}] 0 0
0.01 0.0015 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] 1072.84 0.932104 0.074612 0.248315 RowBox[{RowBox[{0.0287012, }], +, RowBox[{0.0287012, , i}]}] 0 0
0.01 0.002 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] 1044.33 0.957547 0.075612 0.251643 RowBox[{RowBox[{0.025502, }], +, RowBox[{0.025502, , i}]}] 0 0
0.01 0.0025 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] 1017.31 0.982986 0.076612 0.254971 RowBox[{RowBox[{0.0227411, }], +, RowBox[{0.0227411, , i}]}] 0 0
0.01 0.0035 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] 967.288 1.03382 0.078612 0.261627 RowBox[{RowBox[{0.0170671, }], +, RowBox[{0.0170671, , i}]}] 0 0
0.01 0.004 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] 944.113 1.0592 0.079612 0.264955 RowBox[{RowBox[{0.0126393, }], +, RowBox[{0.0126393, , i}]}] 0 0
0.01 0.0045 35313.5 922.053 1.08454 0.080612 0.268284 0.0172295 0 0
0.01 0.005 29305.8 901.036 1.10983 0.081612 0.271612 0.0222602 0 0
0.01 0.0055 25686. 880.998 1.13508 0.082612 0.27494 0.024816 0 0
0.01 0.006 23129.1 861.876 1.16026 0.083612 0.278268 0.0265291 0 0
0.01 0.0065 21213.6 843.615 1.18537 0.084612 0.281596 0.0278078 0 0
0.01 0.007 19733.8 826.164 1.21041 0.085612 0.284924 0.0288223 0 0
0.01 0.0075 18570. 809.476 1.23537 0.086612 0.288252 0.0296609 0 0
0.01 0.008 17645.9 793.507 1.26023 0.087612 0.29158 0.0303747 0 0
0.01 0.0085 16909.1 778.217 1.28499 0.088612 0.294908 0.0309964 0 0

RowBox[{aluminum, ,  thrust = , , 10000, ,  chht , , 0.0555973, ,  vol in^3 = , , 32.9466}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.0316228 0.00215443 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] 7974.2 1.25404 0.178749 0.594892 RowBox[{RowBox[{0.0710795, }], +, RowBox[{0.0710795, , i}]}] 0 0
0.0316228 0.00323165 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] 7704.5 1.29794 0.180904 0.602062 RowBox[{RowBox[{0.0618349, }], +, RowBox[{0.0618349, , i}]}] 0 0
0.0316228 0.00430887 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] 7466.89 1.33924 0.183058 0.609232 RowBox[{RowBox[{0.0549424, }], +, RowBox[{0.0549424, , i}]}] 0 0
0.0316228 0.00538609 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] 7257.59 1.37787 0.185212 0.616403 RowBox[{RowBox[{0.0489942, }], +, RowBox[{0.0489942, , i}]}] 0 0
0.0316228 0.00754052 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] 6912. 1.44676 0.189521 0.630743 RowBox[{RowBox[{0.0367698, }], +, RowBox[{0.0367698, , i}]}] 0 0
0.0316228 0.00861774 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] 6771.09 1.47687 0.191676 0.637913 RowBox[{RowBox[{0.0272306, }], +, RowBox[{0.0272306, , i}]}] 0 0
0.0316228 0.00969496 35313.5 6649.04 1.50398 0.19383 0.645083 0.0371198 0 0
0.0316228 0.0107722 29305.8 6544.48 1.52801 0.195985 0.652253 0.0479581 0 0
0.0316228 0.0118494 25686. 6456.29 1.54888 0.198139 0.659423 0.0534645 0 0
0.0316228 0.0129266 23129.1 6383.63 1.56651 0.200293 0.666593 0.0571553 0 0
0.0316228 0.0140038 21213.6 6325.83 1.58082 0.202448 0.673764 0.05991 0 0
0.0316228 0.015081 19733.8 6282.47 1.59173 0.204602 0.680934 0.0620958 0 0
0.0316228 0.0161583 18570. 6253.27 1.59916 0.206757 0.688104 0.0639024 0 0
0.0316228 0.0172355 17645.9 6238.16 1.60304 0.208911 0.695274 0.0654404 0 0
0.0316228 0.0183127 16909.1 6237.26 1.60327 0.211066 0.702444 0.0667798 0 0

RowBox[{aluminum, ,  thrust = , , 50000, ,  chht , , 0.0950701, ,  vol in^3 = , , 164.733}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.0416197 0.00368403 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] RowBox[{-, 6082.2}] RowBox[{-, 8.22071}] 0.280748 0.934352 RowBox[{RowBox[{0.121544, }], +, RowBox[{0.121544, , i}]}] 0 0
0.0416197 0.00552605 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] RowBox[{-, 5966.77}] RowBox[{-, 8.37974}] 0.284432 0.946613 RowBox[{RowBox[{0.105736, }], +, RowBox[{0.105736, , i}]}] 0 0
0.0416197 0.00736806 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] RowBox[{-, 5843.51}] RowBox[{-, 8.5565}] 0.288116 0.958874 RowBox[{RowBox[{0.0939502, }], +, RowBox[{0.0939502, , i}]}] 0 0
0.0416197 0.00921008 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] RowBox[{-, 5713.38}] RowBox[{-, 8.75138}] 0.2918 0.971135 RowBox[{RowBox[{0.0837788, }], +, RowBox[{0.0837788, , i}]}] 0 0
0.0416197 0.0128941 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] RowBox[{-, 5436.47}] RowBox[{-, 9.19714}] 0.299168 0.995656 RowBox[{RowBox[{0.0628756, }], +, RowBox[{0.0628756, , i}]}] 0 0
0.0416197 0.0147361 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] RowBox[{-, 5291.67}] RowBox[{-, 9.44881}] 0.302852 1.00792 RowBox[{RowBox[{0.0465637, }], +, RowBox[{0.0465637, , i}]}] 0 0
0.0416197 0.0165781 35313.5 RowBox[{-, 5143.92}] RowBox[{-, 9.72022}] 0.306536 1.02018 0.0634739 0 0
0.0416197 0.0184202 29305.8 RowBox[{-, 4994.13}] RowBox[{-, 10.0118}] 0.31022 1.03244 0.0820072 0 0
0.0416197 0.0202622 25686. RowBox[{-, 4843.17}] RowBox[{-, 10.3238}] 0.313904 1.0447 0.0914229 0 0
0.0416197 0.0221042 23129.1 RowBox[{-, 4691.83}] RowBox[{-, 10.6568}] 0.317588 1.05696 0.0977341 0 0
0.0416197 0.0239462 21213.6 RowBox[{-, 4540.85}] RowBox[{-, 11.0112}] 0.321272 1.06922 0.102445 0 0
0.0416197 0.0257882 19733.8 RowBox[{-, 4390.89}] RowBox[{-, 11.3872}] 0.324956 1.08148 0.106182 0 0
0.0416197 0.0276302 18570. RowBox[{-, 4242.53}] RowBox[{-, 11.7854}] 0.32864 1.09374 0.109272 0 0
0.0416197 0.0294723 17645.9 RowBox[{-, 4096.29}] RowBox[{-, 12.2062}] 0.332324 1.106 0.111902 0 0
0.0416197 0.0313143 16909.1 RowBox[{-, 3952.62}] RowBox[{-, 12.6498}] 0.336008 1.11826 0.114192 0 0

RowBox[{aluminum, ,  thrust = , , 100000, ,  chht , , 0.119781, ,  vol in^3 = , , 329.466}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.05 0.00464159 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] RowBox[{-, 4007.95}] RowBox[{-, 24.9504}] 0.348845 1.16099 RowBox[{RowBox[{0.153136, }], +, RowBox[{0.153136, , i}]}] 0 0
0.05 0.00696238 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] RowBox[{-, 3923.35}] RowBox[{-, 25.4884}] 0.353486 1.17643 RowBox[{RowBox[{0.133219, }], +, RowBox[{0.133219, , i}]}] 0 0
0.05 0.00928318 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] RowBox[{-, 3836.61}] RowBox[{-, 26.0647}] 0.358128 1.19188 RowBox[{RowBox[{0.11837, }], +, RowBox[{0.11837, , i}]}] 0 0
0.05 0.011604 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] RowBox[{-, 3748.13}] RowBox[{-, 26.6799}] 0.36277 1.20733 RowBox[{RowBox[{0.105555, }], +, RowBox[{0.105555, , i}]}] 0 0
0.05 0.0162456 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] RowBox[{-, 3567.52}] RowBox[{-, 28.0307}] 0.372053 1.23822 RowBox[{RowBox[{0.0792182, }], +, RowBox[{0.0792182, , i}]}] 0 0
0.05 0.0185664 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] RowBox[{-, 3476.11}] RowBox[{-, 28.7678}] 0.376694 1.25367 RowBox[{RowBox[{0.0586666, }], +, RowBox[{0.0586666, , i}]}] 0 0
0.05 0.0208871 35313.5 RowBox[{-, 3384.43}] RowBox[{-, 29.5471}] 0.381336 1.26912 0.0799721 0 0
0.05 0.0232079 29305.8 RowBox[{-, 3292.79}] RowBox[{-, 30.3694}] 0.385978 1.28457 0.103323 0 0
0.05 0.0255287 25686. RowBox[{-, 3201.48}] RowBox[{-, 31.2355}] 0.390619 1.30001 0.115186 0 0
0.05 0.0278495 23129.1 RowBox[{-, 3110.78}] RowBox[{-, 32.1463}] 0.395261 1.31546 0.123137 0 0
0.05 0.0301703 21213.6 RowBox[{-, 3020.92}] RowBox[{-, 33.1025}] 0.399902 1.33091 0.129072 0 0
0.05 0.0324911 19733.8 RowBox[{-, 2932.13}] RowBox[{-, 34.1049}] 0.404544 1.34636 0.133781 0 0
0.05 0.0348119 18570. RowBox[{-, 2844.6}] RowBox[{-, 35.1543}] 0.409186 1.3618 0.137674 0 0
0.05 0.0371327 17645.9 RowBox[{-, 2758.5}] RowBox[{-, 36.2515}] 0.413827 1.37725 0.140987 0 0
0.05 0.0394535 16909.1 RowBox[{-, 2673.98}] RowBox[{-, 37.3974}] 0.418469 1.3927 0.143873 0 0

RowBox[{aluminum, ,  thrust = , , 300000, ,  chht , , 0.172754, ,  vol in^3 = , , 988.399}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.0699219 0.00669433 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] RowBox[{-, 2853.92}] RowBox[{-, 105.118}] 0.49874 1.65985 RowBox[{RowBox[{0.220861, }], +, RowBox[{0.220861, , i}]}] 0 0
0.0699219 0.0100415 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] RowBox[{-, 2790.41}] RowBox[{-, 107.511}] 0.505435 1.68213 RowBox[{RowBox[{0.192136, }], +, RowBox[{0.192136, , i}]}] 0 0
0.0699219 0.0133887 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] RowBox[{-, 2726.57}] RowBox[{-, 110.028}] 0.512129 1.70441 RowBox[{RowBox[{0.170719, }], +, RowBox[{0.170719, , i}]}] 0 0
0.0699219 0.0167358 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] RowBox[{-, 2662.6}] RowBox[{-, 112.672}] 0.518823 1.72669 RowBox[{RowBox[{0.152236, }], +, RowBox[{0.152236, , i}]}] 0 0
0.0699219 0.0234302 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] RowBox[{-, 2534.86}] RowBox[{-, 118.35}] 0.532212 1.77125 RowBox[{RowBox[{0.114252, }], +, RowBox[{0.114252, , i}]}] 0 0
0.0699219 0.0267773 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] RowBox[{-, 2471.41}] RowBox[{-, 121.388}] 0.538906 1.79353 RowBox[{RowBox[{0.0846118, }], +, RowBox[{0.0846118, , i}]}] 0 0
0.0699219 0.0301245 35313.5 RowBox[{-, 2408.42}] RowBox[{-, 124.563}] 0.545601 1.8158 0.11534 0 0
0.0699219 0.0334716 29305.8 RowBox[{-, 2346.01}] RowBox[{-, 127.877}] 0.552295 1.83808 0.149017 0 0
0.0699219 0.0368188 25686. RowBox[{-, 2284.29}] RowBox[{-, 131.332}] 0.558989 1.86036 0.166126 0 0
0.0699219 0.040166 23129.1 RowBox[{-, 2223.37}] RowBox[{-, 134.93}] 0.565684 1.88264 0.177595 0 0
0.0699219 0.0435131 21213.6 RowBox[{-, 2163.34}] RowBox[{-, 138.675}] 0.572378 1.90492 0.186154 0 0
0.0699219 0.0468603 19733.8 RowBox[{-, 2104.27}] RowBox[{-, 142.568}] 0.579072 1.9272 0.192946 0 0
0.0699219 0.0502075 18570. RowBox[{-, 2046.23}] RowBox[{-, 146.611}] 0.585767 1.94948 0.19856 0 0
0.0699219 0.0535546 17645.9 RowBox[{-, 1989.28}] RowBox[{-, 150.808}] 0.592461 1.97176 0.203339 0 0
0.0699219 0.0569018 16909.1 RowBox[{-, 1933.48}] RowBox[{-, 155.161}] 0.599155 1.99404 0.2075 0 0

RowBox[{aluminum, ,  thrust = , , 500000, ,  chht , , 0.204822, ,  vol in^3 = , , 1647.33}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.0828489 0.00793701 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] RowBox[{-, 2589.03}] RowBox[{-, 193.122}] 0.591217 1.96762 RowBox[{RowBox[{0.261859, }], +, RowBox[{0.261859, , i}]}] 0 0
0.0828489 0.0119055 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] RowBox[{-, 2530.76}] RowBox[{-, 197.569}] 0.599154 1.99403 RowBox[{RowBox[{0.227802, }], +, RowBox[{0.227802, , i}]}] 0 0
0.0828489 0.015874 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] RowBox[{-, 2472.44}] RowBox[{-, 202.23}] 0.607091 2.02045 RowBox[{RowBox[{0.20241, }], +, RowBox[{0.20241, , i}]}] 0 0
0.0828489 0.0198425 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] RowBox[{-, 2414.21}] RowBox[{-, 207.107}] 0.615028 2.04686 RowBox[{RowBox[{0.180496, }], +, RowBox[{0.180496, , i}]}] 0 0
0.0828489 0.0277795 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] RowBox[{-, 2298.55}] RowBox[{-, 217.528}] 0.630902 2.09969 RowBox[{RowBox[{0.135461, }], +, RowBox[{0.135461, , i}]}] 0 0
0.0828489 0.031748 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] RowBox[{-, 2241.34}] RowBox[{-, 223.081}] 0.638839 2.12611 RowBox[{RowBox[{0.100318, }], +, RowBox[{0.100318, , i}]}] 0 0
0.0828489 0.0357165 35313.5 RowBox[{-, 2184.68}] RowBox[{-, 228.866}] 0.646776 2.15252 0.13675 0 0
0.0828489 0.039685 29305.8 RowBox[{-, 2128.67}] RowBox[{-, 234.889}] 0.654713 2.17894 0.176679 0 0
0.0828489 0.0436535 25686. RowBox[{-, 2073.38}] RowBox[{-, 241.152}] 0.66265 2.20535 0.196965 0 0
0.0828489 0.047622 23129.1 RowBox[{-, 2018.89}] RowBox[{-, 247.661}] 0.670587 2.23177 0.210562 0 0
0.0828489 0.0515905 21213.6 RowBox[{-, 1965.27}] RowBox[{-, 254.419}] 0.678524 2.25818 0.22071 0 0
0.0828489 0.055559 19733.8 RowBox[{-, 1912.56}] RowBox[{-, 261.429}] 0.686461 2.2846 0.228763 0 0
0.0828489 0.0595275 18570. RowBox[{-, 1860.83}] RowBox[{-, 268.697}] 0.694398 2.31101 0.235419 0 0
0.0828489 0.063496 17645.9 RowBox[{-, 1810.11}] RowBox[{-, 276.226}] 0.702335 2.33743 0.241085 0 0
0.0828489 0.0674645 16909.1 RowBox[{-, 1760.44}] RowBox[{-, 284.02}] 0.710272 2.36384 0.246019 0 0

RowBox[{aluminum, ,  thrust = , , 1000000, ,  chht , , 0.25806, ,  vol in^3 = , , 3294.66}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.105409 0.01 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] RowBox[{-, 2346.5}] RowBox[{-, 426.166}] 0.746939 2.48587 RowBox[{RowBox[{0.329922, }], +, RowBox[{0.329922, , i}]}] 0 0
0.105409 0.015 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] RowBox[{-, 2293.15}] RowBox[{-, 436.082}] 0.756939 2.51916 RowBox[{RowBox[{0.287012, }], +, RowBox[{0.287012, , i}]}] 0 0
0.105409 0.02 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] RowBox[{-, 2239.96}] RowBox[{-, 446.436}] 0.766939 2.55244 RowBox[{RowBox[{0.25502, }], +, RowBox[{0.25502, , i}]}] 0 0
0.105409 0.025 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] RowBox[{-, 2187.05}] RowBox[{-, 457.237}] 0.776939 2.58572 RowBox[{RowBox[{0.227411, }], +, RowBox[{0.227411, , i}]}] 0 0
0.105409 0.035 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] RowBox[{-, 2082.41}] RowBox[{-, 480.212}] 0.796939 2.65228 RowBox[{RowBox[{0.170671, }], +, RowBox[{0.170671, , i}]}] 0 0
0.105409 0.04 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] RowBox[{-, 2030.86}] RowBox[{-, 492.401}] 0.806939 2.68556 RowBox[{RowBox[{0.126393, }], +, RowBox[{0.126393, , i}]}] 0 0
0.105409 0.045 35313.5 RowBox[{-, 1979.92}] RowBox[{-, 505.07}] 0.816939 2.71884 0.172295 0 0
0.105409 0.05 29305.8 RowBox[{-, 1929.66}] RowBox[{-, 518.225}] 0.826939 2.75212 0.222602 0 0
0.105409 0.055 25686. RowBox[{-, 1880.14}] RowBox[{-, 531.876}] 0.836939 2.7854 0.24816 0 0
0.105409 0.06 23129.1 RowBox[{-, 1831.4}] RowBox[{-, 546.029}] 0.846939 2.81868 0.265291 0 0
0.105409 0.065 21213.6 RowBox[{-, 1783.51}] RowBox[{-, 560.693}] 0.856939 2.85196 0.278078 0 0
0.105409 0.07 19733.8 RowBox[{-, 1736.48}] RowBox[{-, 575.876}] 0.866939 2.88524 0.288223 0 0
0.105409 0.075 18570. RowBox[{-, 1690.37}] RowBox[{-, 591.587}] 0.876939 2.91853 0.296609 0 0
0.105409 0.08 17645.9 RowBox[{-, 1645.19}] RowBox[{-, 607.832}] 0.886939 2.95181 0.303747 0 0
0.105409 0.085 16909.1 RowBox[{-, 1600.97}] RowBox[{-, 624.62}] 0.896939 2.98509 0.309964 0 0

RowBox[{aluminum, ,  thrust = , , 1500000, ,  chht , , 0.295405, ,  vol in^3 = , , 4942.}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.121942 0.0114471 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] RowBox[{-, 2244.09}] RowBox[{-, 668.421}] 0.857588 2.85412 RowBox[{RowBox[{0.377666, }], +, RowBox[{0.377666, , i}]}] 0 0
0.121942 0.0171707 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] RowBox[{-, 2192.86}] RowBox[{-, 684.039}] 0.869035 2.89222 RowBox[{RowBox[{0.328547, }], +, RowBox[{0.328547, , i}]}] 0 0
0.121942 0.0228943 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] RowBox[{-, 2141.86}] RowBox[{-, 700.325}] 0.880482 2.93032 RowBox[{RowBox[{0.291925, }], +, RowBox[{0.291925, , i}]}] 0 0
0.121942 0.0286179 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] RowBox[{-, 2091.2}] RowBox[{-, 717.29}] 0.891929 2.96842 RowBox[{RowBox[{0.26032, }], +, RowBox[{0.26032, , i}]}] 0 0
0.121942 0.040065 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] RowBox[{-, 1991.22}] RowBox[{-, 753.307}] 0.914824 3.04461 RowBox[{RowBox[{0.195369, }], +, RowBox[{0.195369, , i}]}] 0 0
0.121942 0.0457886 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] RowBox[{-, 1942.04}] RowBox[{-, 772.383}] 0.926271 3.08271 RowBox[{RowBox[{0.144684, }], +, RowBox[{0.144684, , i}]}] 0 0
0.121942 0.0515121 35313.5 RowBox[{-, 1893.49}] RowBox[{-, 792.187}] 0.937718 3.1208 0.197228 0 0
0.121942 0.0572357 29305.8 RowBox[{-, 1845.63}] RowBox[{-, 812.73}] 0.949165 3.1589 0.254816 0 0
0.121942 0.0629593 25686. RowBox[{-, 1798.51}] RowBox[{-, 834.025}] 0.960612 3.197 0.284072 0 0
0.121942 0.0686829 23129.1 RowBox[{-, 1752.16}] RowBox[{-, 856.084}] 0.972059 3.2351 0.303683 0 0
0.121942 0.0744064 21213.6 RowBox[{-, 1706.64}] RowBox[{-, 878.918}] 0.983506 3.27319 0.318319 0 0
0.121942 0.08013 19733.8 RowBox[{-, 1661.97}] RowBox[{-, 902.541}] 0.994954 3.31129 0.329933 0 0
0.121942 0.0858536 18570. RowBox[{-, 1618.19}] RowBox[{-, 926.963}] 1.0064 3.34939 0.339532 0 0
0.121942 0.0915771 17645.9 RowBox[{-, 1575.31}] RowBox[{-, 952.197}] 1.01785 3.38748 0.347704 0 0
0.121942 0.0973007 16909.1 RowBox[{-, 1533.34}] RowBox[{-, 978.254}] 1.0293 3.42558 0.354821 0 0

RowBox[{aluminum, ,  thrust = , , 2000000, ,  chht , , 0.325135, ,  vol in^3 = , , 6589.33}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.135477 0.0125992 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] RowBox[{-, 2183.82}] RowBox[{-, 915.826}] 0.946423 3.14978 RowBox[{RowBox[{0.415676, }], +, RowBox[{0.415676, , i}]}] 0 0
0.135477 0.0188988 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] RowBox[{-, 2133.84}] RowBox[{-, 937.278}] 0.959022 3.19171 RowBox[{RowBox[{0.361613, }], +, RowBox[{0.361613, , i}]}] 0 0
0.135477 0.0251984 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] RowBox[{-, 2084.14}] RowBox[{-, 959.627}] 0.971621 3.23364 RowBox[{RowBox[{0.321305, }], +, RowBox[{0.321305, , i}]}] 0 0
0.135477 0.031498 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] RowBox[{-, 2034.81}] RowBox[{-, 982.891}] 0.984221 3.27557 RowBox[{RowBox[{0.28652, }], +, RowBox[{0.28652, , i}]}] 0 0
0.135477 0.0440972 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] RowBox[{-, 1937.56}] RowBox[{-, 1032.22}] 1.00942 3.35943 RowBox[{RowBox[{0.215031, }], +, RowBox[{0.215031, , i}]}] 0 0
0.135477 0.0503968 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] RowBox[{-, 1889.78}] RowBox[{-, 1058.33}] 1.02202 3.40136 RowBox[{RowBox[{0.159246, }], +, RowBox[{0.159246, , i}]}] 0 0
0.135477 0.0566964 35313.5 RowBox[{-, 1842.63}] RowBox[{-, 1085.4}] 1.03462 3.44329 0.217078 0 0
0.135477 0.0629961 29305.8 RowBox[{-, 1796.17}] RowBox[{-, 1113.48}] 1.04722 3.48522 0.280461 0 0
0.135477 0.0692957 25686. RowBox[{-, 1750.45}] RowBox[{-, 1142.56}] 1.05982 3.52716 0.312662 0 0
0.135477 0.0755953 23129.1 RowBox[{-, 1705.51}] RowBox[{-, 1172.67}] 1.07242 3.56909 0.334246 0 0
0.135477 0.0818949 21213.6 RowBox[{-, 1661.37}] RowBox[{-, 1203.82}] 1.08501 3.61102 0.350356 0 0
0.135477 0.0881945 19733.8 RowBox[{-, 1618.08}] RowBox[{-, 1236.03}] 1.09761 3.65295 0.363139 0 0
0.135477 0.0944941 18570. RowBox[{-, 1575.65}] RowBox[{-, 1269.32}] 1.11021 3.69488 0.373704 0 0
0.135477 0.100794 17645.9 RowBox[{-, 1534.1}] RowBox[{-, 1303.69}] 1.12281 3.73681 0.382698 0 0
0.135477 0.107093 16909.1 RowBox[{-, 1493.46}] RowBox[{-, 1339.17}] 1.13541 3.77874 0.390531 0 0

RowBox[{aluminum, ,  thrust = , , 3000000, ,  chht , , 0.372187, ,  vol in^3 = , , 9883.99}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.157522 0.0144225 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] RowBox[{-, 2112.5}] RowBox[{-, 1420.12}] 1.08826 3.62183 RowBox[{RowBox[{0.47583, }], +, RowBox[{0.47583, , i}]}] 0 0
0.157522 0.0216337 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] RowBox[{-, 2064.01}] RowBox[{-, 1453.48}] 1.10269 3.66983 RowBox[{RowBox[{0.413943, }], +, RowBox[{0.413943, , i}]}] 0 0
0.157522 0.028845 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] RowBox[{-, 2015.86}] RowBox[{-, 1488.2}] 1.11711 3.71783 RowBox[{RowBox[{0.367803, }], +, RowBox[{0.367803, , i}]}] 0 0
0.157522 0.0360562 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] RowBox[{-, 1968.11}] RowBox[{-, 1524.31}] 1.13153 3.76583 RowBox[{RowBox[{0.327983, }], +, RowBox[{0.327983, , i}]}] 0 0
0.157522 0.0504787 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] RowBox[{-, 1874.09}] RowBox[{-, 1600.78}] 1.16038 3.86183 RowBox[{RowBox[{0.246149, }], +, RowBox[{0.246149, , i}]}] 0 0
0.157522 0.05769 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] RowBox[{-, 1827.95}] RowBox[{-, 1641.19}] 1.1748 3.90983 RowBox[{RowBox[{0.182291, }], +, RowBox[{0.182291, , i}]}] 0 0
0.157522 0.0649012 35313.5 RowBox[{-, 1782.45}] RowBox[{-, 1683.08}] 1.18922 3.95782 0.248492 0 0
0.157522 0.0721125 29305.8 RowBox[{-, 1737.65}] RowBox[{-, 1726.47}] 1.20364 4.00582 0.321047 0 0
0.157522 0.0793237 25686. RowBox[{-, 1693.58}] RowBox[{-, 1771.4}] 1.21807 4.05382 0.357909 0 0
0.157522 0.086535 23129.1 RowBox[{-, 1650.27}] RowBox[{-, 1817.88}] 1.23249 4.10182 0.382616 0 0
0.157522 0.0937462 21213.6 RowBox[{-, 1607.77}] RowBox[{-, 1865.94}] 1.24691 4.14982 0.401057 0 0
0.157522 0.100957 19733.8 RowBox[{-, 1566.09}] RowBox[{-, 1915.6}] 1.26133 4.19782 0.41569 0 0
0.157522 0.108169 18570. RowBox[{-, 1525.25}] RowBox[{-, 1966.89}] 1.27576 4.24582 0.427784 0 0
0.157522 0.11538 17645.9 RowBox[{-, 1485.28}] RowBox[{-, 2019.82}] 1.29018 4.29382 0.43808 0 0
0.157522 0.122591 16909.1 RowBox[{-, 1446.18}] RowBox[{-, 2074.43}] 1.3046 4.34182 0.447046 0 0

RowBox[{aluminum, ,  thrust = , , 5000000, ,  chht , , 0.441276, ,  vol in^3 = , , 16473.3}]

rBot Wall stress lbf sp thrust weight dia dia ft r max stress min # noz max # noz
0.191163 0.0170998 RowBox[{RowBox[{81647.1, }], -, RowBox[{60106.6, , i}]}] RowBox[{-, 2040.34}] RowBox[{-, 2450.57}] 1.29908 4.32344 RowBox[{RowBox[{0.564159, }], +, RowBox[{0.564159, , i}]}] 0 0
0.191163 0.0256496 RowBox[{RowBox[{63883.4, }], -, RowBox[{45488.4, , i}]}] RowBox[{-, 1993.38}] RowBox[{-, 2508.3}] 1.31618 4.38035 RowBox[{RowBox[{0.490784, }], +, RowBox[{0.490784, , i}]}] 0 0
0.191163 0.0341995 RowBox[{RowBox[{55358.5, }], -, RowBox[{35912.7, , i}]}] RowBox[{-, 1946.79}] RowBox[{-, 2568.33}] 1.33328 4.43726 RowBox[{RowBox[{0.436078, }], +, RowBox[{0.436078, , i}]}] 0 0
0.191163 0.0427494 RowBox[{RowBox[{50527.3, }], -, RowBox[{28557.6, , i}]}] RowBox[{-, 1900.64}] RowBox[{-, 2630.69}] 1.35038 4.49417 RowBox[{RowBox[{0.388867, }], +, RowBox[{0.388867, , i}]}] 0 0
0.191163 0.0598492 RowBox[{RowBox[{45611.9, }], -, RowBox[{16084.8, , i}]}] RowBox[{-, 1809.89}] RowBox[{-, 2762.59}] 1.38458 4.60799 RowBox[{RowBox[{0.291842, }], +, RowBox[{0.291842, , i}]}] 0 0
0.191163 0.068399 RowBox[{RowBox[{44340.9, }], -, RowBox[{8821.6, , i}]}] RowBox[{-, 1765.41}] RowBox[{-, 2832.21}] 1.40168 4.6649 RowBox[{RowBox[{0.216129, }], +, RowBox[{0.216129, , i}]}] 0 0
0.191163 0.0769489 35313.5 RowBox[{-, 1721.58}] RowBox[{-, 2904.32}] 1.41878 4.72181 0.29462 0 0
0.191163 0.0854988 29305.8 RowBox[{-, 1678.44}] RowBox[{-, 2978.96}] 1.43588 4.77872 0.380644 0 0
0.191163 0.0940487 25686. RowBox[{-, 1636.03}] RowBox[{-, 3056.19}] 1.45298 4.83563 0.424348 0 0
0.191163 0.102599 23129.1 RowBox[{-, 1594.37}] RowBox[{-, 3136.03}] 1.47008 4.89254 0.453642 0 0
0.191163 0.111148 21213.6 RowBox[{-, 1553.51}] RowBox[{-, 3218.52}] 1.48718 4.94945 0.475506 0 0
0.191163 0.119698 19733.8 RowBox[{-, 1513.45}] RowBox[{-, 3303.72}] 1.50428 5.00636 0.492855 0 0
0.191163 0.128248 18570. RowBox[{-, 1474.21}] RowBox[{-, 3391.65}] 1.52138 5.06327 0.507194 0 0
0.191163 0.136798 17645.9 RowBox[{-, 1435.81}] RowBox[{-, 3482.35}] 1.53848 5.12018 0.519401 0 0
0.191163 0.145348 16909.1 RowBox[{-, 1398.26}] RowBox[{-, 3575.88}] 1.55558 5.17708 0.530032 0 0

Null^32



r=. ;

ω =. ; radialelongation = . ; modulusElasticity =. ; μ = . ; ρ = . ; r &nb ... ]]}], ;, , almaxtstress = {}, ;}], , , )}]}], ]}]}], , )}]}], ]}]

RowBox[{aluminum, ,  thrust = , , 10, ,  vol in^3 = , , 0.0329466}]

rBot Wall stress lbf sp thrust weight dia r max stress min # noz max # noz
0.0005 0.00107722 29305.8 150.228 0.0665655 0.0142739 0.00479581 0 0
0.0005 0.00129266 23129.1 142.379 0.0702351 0.0147048 0.00571553 0 0
0.0005 0.00140038 21213.6 138.704 0.0720958 0.0149202 0.005991 0 0
0.0005 0.0015081 19733.8 135.183 0.0739736 0.0151357 0.00620958 0 0
0.0005 0.00161583 18570. 131.807 0.0758685 0.0153511 0.00639024 0 0
0.0005 0.00172355 17645.9 128.567 0.0777804 0.0155666 0.00654404 0 0
0.0005 0.00183127 16909.1 125.456 0.0797091 0.015782 0.00667798 0 0
0.0005 0.00193899 16322.4 122.467 0.0816547 0.0159975 0.00679675 0 0
0.0005 0.00215443 15496.4 116.828 0.0855959 0.0164283 0.00700101 0 0
0.0006 0.00107722 29305.8 150.228 0.0665655 0.0144739 0.00479581 0 0
0.0006 0.00129266 23129.1 142.379 0.0702351 0.0149048 0.00571553 0 0
0.0006 0.00140038 21213.6 138.704 0.0720958 0.0151202 0.005991 0 0
0.0006 0.0015081 19733.8 135.183 0.0739736 0.0153357 0.00620958 0 0
0.0006 0.00161583 18570. 131.807 0.0758685 0.0155511 0.00639024 0 0
0.0006 0.00172355 17645.9 128.567 0.0777804 0.0157666 0.00654404 0 0
0.0006 0.00183127 16909.1 125.456 0.0797091 0.015982 0.00667798 0 0
0.0006 0.00193899 16322.4 122.467 0.0816547 0.0161975 0.00679675 0 0
0.0006 0.00215443 15496.4 116.828 0.0855959 0.0166283 0.00700101 0 0
0.00065 0.00107722 29305.8 150.228 0.0665655 0.0145739 0.00479581 0 0
0.00065 0.00129266 23129.1 142.379 0.0702351 0.0150048 0.00571553 0 0
0.00065 0.00140038 21213.6 138.704 0.0720958 0.0152202 0.005991 0 0
0.00065 0.0015081 19733.8 135.183 0.0739736 0.0154357 0.00620958 0 0
0.00065 0.00161583 18570. 131.807 0.0758685 0.0156511 0.00639024 0 0
0.00065 0.00172355 17645.9 128.567 0.0777804 0.0158666 0.00654404 0 0
0.00065 0.00183127 16909.1 125.456 0.0797091 0.016082 0.00667798 0 0
0.00065 0.00193899 16322.4 122.467 0.0816547 0.0162975 0.00679675 0 0
0.00065 0.00215443 15496.4 116.828 0.0855959 0.0167283 0.00700101 0 0
0.0007 0.00107722 29305.8 150.228 0.0665655 0.0146739 0.00479581 0 0
0.0007 0.00129266 23129.1 142.379 0.0702351 0.0151048 0.00571553 0 0
0.0007 0.00140038 21213.6 138.704 0.0720958 0.0153202 0.005991 0 0
0.0007 0.0015081 19733.8 135.183 0.0739736 0.0155357 0.00620958 0 0
0.0007 0.00161583 18570. 131.807 0.0758685 0.0157511 0.00639024 0 0
0.0007 0.00172355 17645.9 128.567 0.0777804 0.0159666 0.00654404 0 0
0.0007 0.00183127 16909.1 125.456 0.0797091 0.016182 0.00667798 0 0
0.0007 0.00193899 16322.4 122.467 0.0816547 0.0163975 0.00679675 0 0
0.0007 0.00215443 15496.4 116.828 0.0855959 0.0168283 0.00700101 0 0
0.00075 0.00107722 29305.8 150.228 0.0665655 0.0147739 0.00479581 0 0
0.00075 0.00129266 23129.1 142.379 0.0702351 0.0152048 0.00571553 0 0
0.00075 0.00140038 21213.6 138.704 0.0720958 0.0154202 0.005991 0 0
0.00075 0.0015081 19733.8 135.183 0.0739736 0.0156357 0.00620958 0 0
0.00075 0.00161583 18570. 131.807 0.0758685 0.0158511 0.00639024 0 0
0.00075 0.00172355 17645.9 128.567 0.0777804 0.0160666 0.00654404 0 0
0.00075 0.00183127 16909.1 125.456 0.0797091 0.016282 0.00667798 0 0
0.00075 0.00193899 16322.4 122.467 0.0816547 0.0164975 0.00679675 0 0
0.00075 0.00215443 15496.4 116.828 0.0855959 0.0169283 0.00700101 0 0
0.0008 0.00107722 29305.8 150.228 0.0665655 0.0148739 0.00479581 0 0
0.0008 0.00129266 23129.1 142.379 0.0702351 0.0153048 0.00571553 0 0
0.0008 0.00140038 21213.6 138.704 0.0720958 0.0155202 0.005991 0 0
0.0008 0.0015081 19733.8 135.183 0.0739736 0.0157357 0.00620958 0 0
0.0008 0.00161583 18570. 131.807 0.0758685 0.0159511 0.00639024 0 0
0.0008 0.00172355 17645.9 128.567 0.0777804 0.0161666 0.00654404 0 0
0.0008 0.00183127 16909.1 125.456 0.0797091 0.016382 0.00667798 0 0
0.0008 0.00193899 16322.4 122.467 0.0816547 0.0165975 0.00679675 0 0
0.0008 0.00215443 15496.4 116.828 0.0855959 0.0170283 0.00700101 0 0
0.00085 0.00107722 29305.8 150.228 0.0665655 0.0149739 0.00479581 0 0
0.00085 0.00129266 23129.1 142.379 0.0702351 0.0154048 0.00571553 0 0
0.00085 0.00140038 21213.6 138.704 0.0720958 0.0156202 0.005991 0 0
0.00085 0.0015081 19733.8 135.183 0.0739736 0.0158357 0.00620958 0 0
0.00085 0.00161583 18570. 131.807 0.0758685 0.0160511 0.00639024 0 0
0.00085 0.00172355 17645.9 128.567 0.0777804 0.0162666 0.00654404 0 0
0.00085 0.00183127 16909.1 125.456 0.0797091 0.016482 0.00667798 0 0
0.00085 0.00193899 16322.4 122.467 0.0816547 0.0166975 0.00679675 0 0
0.00085 0.00215443 15496.4 116.828 0.0855959 0.0171283 0.00700101 0 0
0.0009 0.00107722 29305.8 150.228 0.0665655 0.0150739 0.00479581 0 0
0.0009 0.00129266 23129.1 142.379 0.0702351 0.0155048 0.00571553 0 0
0.0009 0.00140038 21213.6 138.704 0.0720958 0.0157202 0.005991 0 0
0.0009 0.0015081 19733.8 135.183 0.0739736 0.0159357 0.00620958 0 0
0.0009 0.00161583 18570. 131.807 0.0758685 0.0161511 0.00639024 0 0
0.0009 0.00172355 17645.9 128.567 0.0777804 0.0163666 0.00654404 0 0
0.0009 0.00183127 16909.1 125.456 0.0797091 0.016582 0.00667798 0 0
0.0009 0.00193899 16322.4 122.467 0.0816547 0.0167975 0.00679675 0 0
0.0009 0.00215443 15496.4 116.828 0.0855959 0.0172283 0.00700101 0 0
0.001 0.00107722 29305.8 150.228 0.0665655 0.0152739 0.00479581 0 0
0.001 0.00129266 23129.1 142.379 0.0702351 0.0157048 0.00571553 0 0
0.001 0.00140038 21213.6 138.704 0.0720958 0.0159202 0.005991 0 0
0.001 0.0015081 19733.8 135.183 0.0739736 0.0161357 0.00620958 0 0
0.001 0.00161583 18570. 131.807 0.0758685 0.0163511 0.00639024 0 0
0.001 0.00172355 17645.9 128.567 0.0777804 0.0165666 0.00654404 0 0
0.001 0.00183127 16909.1 125.456 0.0797091 0.016782 0.00667798 0 0
0.001 0.00193899 16322.4 122.467 0.0816547 0.0169975 0.00679675 0 0
0.001 0.00215443 15496.4 116.828 0.0855959 0.0174283 0.00700101 0 0

RowBox[{aluminum, ,  thrust = , , 100, ,  vol in^3 = , , 0.329466}]

rBot Wall stress lbf sp thrust weight dia r max stress min # noz max # noz
0.00158114 0.00232079 29305.8 327.987 0.30489 0.03176 0.0103323 0 0
0.00158114 0.00278495 23129.1 312.532 0.319968 0.0326884 0.0123137 0 0
0.00158114 0.00301703 21213.6 305.267 0.327582 0.0331525 0.0129072 0 0
0.00158114 0.00324911 19733.8 298.29 0.335245 0.0336167 0.0133781 0 0
0.00158114 0.00348119 18570. 291.583 0.342956 0.0340808 0.0137674 0 0
0.00158114 0.00371327 17645.9 285.132 0.350715 0.034545 0.0140987 0 0
0.00158114 0.00394535 16909.1 278.924 0.35852 0.0350092 0.0143873 0 0
0.00158114 0.00417743 16322.4 272.947 0.366372 0.0354733 0.0146432 0 0
0.00158114 0.00464159 15496.4 261.637 0.382209 0.0364016 0.0150832 0 0
0.00189737 0.00232079 29305.8 327.987 0.30489 0.0323925 0.0103323 0 0
0.00189737 0.00278495 23129.1 312.532 0.319968 0.0333208 0.0123137 0 0
0.00189737 0.00301703 21213.6 305.267 0.327582 0.033785 0.0129072 0 0
0.00189737 0.00324911 19733.8 298.29 0.335245 0.0342491 0.0133781 0 0
0.00189737 0.00348119 18570. 291.583 0.342956 0.0347133 0.0137674 0 0
0.00189737 0.00371327 17645.9 285.132 0.350715 0.0351774 0.0140987 0 0
0.00189737 0.00394535 16909.1 278.924 0.35852 0.0356416 0.0143873 0 0
0.00189737 0.00417743 16322.4 272.947 0.366372 0.0361058 0.0146432 0 0
0.00189737 0.00464159 15496.4 261.637 0.382209 0.0370341 0.0150832 0 0
0.00205548 0.00232079 29305.8 327.987 0.30489 0.0327087 0.0103323 0 0
0.00205548 0.00278495 23129.1 312.532 0.319968 0.033637 0.0123137 0 0
0.00205548 0.00301703 21213.6 305.267 0.327582 0.0341012 0.0129072 0 0
0.00205548 0.00324911 19733.8 298.29 0.335245 0.0345654 0.0133781 0 0
0.00205548 0.00348119 18570. 291.583 0.342956 0.0350295 0.0137674 0 0
0.00205548 0.00371327 17645.9 285.132 0.350715 0.0354937 0.0140987 0 0
0.00205548 0.00394535 16909.1 278.924 0.35852 0.0359578 0.0143873 0 0
0.00205548 0.00417743 16322.4 272.947 0.366372 0.036422 0.0146432 0 0
0.00205548 0.00464159 15496.4 261.637 0.382209 0.0373503 0.0150832 0 0
0.00221359 0.00232079 29305.8 327.987 0.30489 0.0330249 0.0103323 0 0
0.00221359 0.00278495 23129.1 312.532 0.319968 0.0339533 0.0123137 0 0
0.00221359 0.00301703 21213.6 305.267 0.327582 0.0344174 0.0129072 0 0
0.00221359 0.00324911 19733.8 298.29 0.335245 0.0348816 0.0133781 0 0
0.00221359 0.00348119 18570. 291.583 0.342956 0.0353457 0.0137674 0 0
0.00221359 0.00371327 17645.9 285.132 0.350715 0.0358099 0.0140987 0 0
0.00221359 0.00394535 16909.1 278.924 0.35852 0.0362741 0.0143873 0 0
0.00221359 0.00417743 16322.4 272.947 0.366372 0.0367382 0.0146432 0 0
0.00221359 0.00464159 15496.4 261.637 0.382209 0.0376665 0.0150832 0 0
0.00237171 0.00232079 29305.8 327.987 0.30489 0.0333412 0.0103323 0 0
0.00237171 0.00278495 23129.1 312.532 0.319968 0.0342695 0.0123137 0 0
0.00237171 0.00301703 21213.6 305.267 0.327582 0.0347337 0.0129072 0 0
0.00237171 0.00324911 19733.8 298.29 0.335245 0.0351978 0.0133781 0 0
0.00237171 0.00348119 18570. 291.583 0.342956 0.035662 0.0137674 0 0
0.00237171 0.00371327 17645.9 285.132 0.350715 0.0361261 0.0140987 0 0
0.00237171 0.00394535 16909.1 278.924 0.35852 0.0365903 0.0143873 0 0
0.00237171 0.00417743 16322.4 272.947 0.366372 0.0370544 0.0146432 0 0
0.00237171 0.00464159 15496.4 261.637 0.382209 0.0379828 0.0150832 0 0
0.00252982 0.00232079 29305.8 327.987 0.30489 0.0336574 0.0103323 0 0
0.00252982 0.00278495 23129.1 312.532 0.319968 0.0345857 0.0123137 0 0
0.00252982 0.00301703 21213.6 305.267 0.327582 0.0350499 0.0129072 0 0
0.00252982 0.00324911 19733.8 298.29 0.335245 0.035514 0.0133781 0 0
0.00252982 0.00348119 18570. 291.583 0.342956 0.0359782 0.0137674 0 0
0.00252982 0.00371327 17645.9 285.132 0.350715 0.0364424 0.0140987 0 0
0.00252982 0.00394535 16909.1 278.924 0.35852 0.0369065 0.0143873 0 0
0.00252982 0.00417743 16322.4 272.947 0.366372 0.0373707 0.0146432 0 0
0.00252982 0.00464159 15496.4 261.637 0.382209 0.038299 0.0150832 0 0
0.00268794 0.00232079 29305.8 327.987 0.30489 0.0339736 0.0103323 0 0
0.00268794 0.00278495 23129.1 312.532 0.319968 0.034902 0.0123137 0 0
0.00268794 0.00301703 21213.6 305.267 0.327582 0.0353661 0.0129072 0 0
0.00268794 0.00324911 19733.8 298.29 0.335245 0.0358303 0.0133781 0 0
0.00268794 0.00348119 18570. 291.583 0.342956 0.0362944 0.0137674 0 0
0.00268794 0.00371327 17645.9 285.132 0.350715 0.0367586 0.0140987 0 0
0.00268794 0.00394535 16909.1 278.924 0.35852 0.0372227 0.0143873 0 0
0.00268794 0.00417743 16322.4 272.947 0.366372 0.0376869 0.0146432 0 0
0.00268794 0.00464159 15496.4 261.637 0.382209 0.0386152 0.0150832 0 0
0.00284605 0.00232079 29305.8 327.987 0.30489 0.0342899 0.0103323 0 0
0.00284605 0.00278495 23129.1 312.532 0.319968 0.0352182 0.0123137 0 0
0.00284605 0.00301703 21213.6 305.267 0.327582 0.0356823 0.0129072 0 0
0.00284605 0.00324911 19733.8 298.29 0.335245 0.0361465 0.0133781 0 0
0.00284605 0.00348119 18570. 291.583 0.342956 0.0366107 0.0137674 0 0
0.00284605 0.00371327 17645.9 285.132 0.350715 0.0370748 0.0140987 0 0
0.00284605 0.00394535 16909.1 278.924 0.35852 0.037539 0.0143873 0 0
0.00284605 0.00417743 16322.4 272.947 0.366372 0.0380031 0.0146432 0 0
0.00284605 0.00464159 15496.4 261.637 0.382209 0.0389314 0.0150832 0 0
0.00316228 0.00232079 29305.8 327.987 0.30489 0.0349223 0.0103323 0 0
0.00316228 0.00278495 23129.1 312.532 0.319968 0.0358506 0.0123137 0 0
0.00316228 0.00301703 21213.6 305.267 0.327582 0.0363148 0.0129072 0 0
0.00316228 0.00324911 19733.8 298.29 0.335245 0.036779 0.0133781 0 0
0.00316228 0.00348119 18570. 291.583 0.342956 0.0372431 0.0137674 0 0
0.00316228 0.00371327 17645.9 285.132 0.350715 0.0377073 0.0140987 0 0
0.00316228 0.00394535 16909.1 278.924 0.35852 0.0381714 0.0143873 0 0
0.00316228 0.00417743 16322.4 272.947 0.366372 0.0386356 0.0146432 0 0
0.00316228 0.00464159 15496.4 261.637 0.382209 0.0395639 0.0150832 0 0

RowBox[{aluminum, ,  thrust = , , 400, ,  vol in^3 = , , 1.31787}]

rBot Wall stress lbf sp thrust weight dia r max stress min # noz max # noz
0.00316228 0.00368403 29305.8 578.789 0.691099 0.0517207 0.0164014 0 0
0.00316228 0.00442084 23129.1 552.723 0.723689 0.0531943 0.0195468 0 0
0.00316228 0.00478924 21213.6 540.504 0.740051 0.0539311 0.0204889 0 0
0.00316228 0.00515764 19733.8 528.785 0.756451 0.0546679 0.0212365 0 0
0.00316228 0.00552605 18570. 517.539 0.772889 0.0554047 0.0218543 0 0
0.00316228 0.00589445 17645.9 506.74 0.789359 0.0561415 0.0223803 0 0
0.00316228 0.00626285 16909.1 496.365 0.805859 0.0568783 0.0228384 0 0
0.00316228 0.00663126 16322.4 486.389 0.822387 0.0576151 0.0232446 0 0
0.00316228 0.00736806 15496.4 467.558 0.855508 0.0590887 0.0239431 0 0
0.00379473 0.00368403 29305.8 578.789 0.691099 0.0529856 0.0164014 0 0
0.00379473 0.00442084 23129.1 552.723 0.723689 0.0544592 0.0195468 0 0
0.00379473 0.00478924 21213.6 540.504 0.740051 0.055196 0.0204889 0 0
0.00379473 0.00515764 19733.8 528.785 0.756451 0.0559328 0.0212365 0 0
0.00379473 0.00552605 18570. 517.539 0.772889 0.0566696 0.0218543 0 0
0.00379473 0.00589445 17645.9 506.74 0.789359 0.0574064 0.0223803 0 0
0.00379473 0.00626285 16909.1 496.365 0.805859 0.0581432 0.0228384 0 0
0.00379473 0.00663126 16322.4 486.389 0.822387 0.05888 0.0232446 0 0
0.00379473 0.00736806 15496.4 467.558 0.855508 0.0603536 0.0239431 0 0
0.00411096 0.00368403 29305.8 578.789 0.691099 0.053618 0.0164014 0 0
0.00411096 0.00442084 23129.1 552.723 0.723689 0.0550916 0.0195468 0 0
0.00411096 0.00478924 21213.6 540.504 0.740051 0.0558285 0.0204889 0 0
0.00411096 0.00515764 19733.8 528.785 0.756451 0.0565653 0.0212365 0 0
0.00411096 0.00552605 18570. 517.539 0.772889 0.0573021 0.0218543 0 0
0.00411096 0.00589445 17645.9 506.74 0.789359 0.0580389 0.0223803 0 0
0.00411096 0.00626285 16909.1 496.365 0.805859 0.0587757 0.0228384 0 0
0.00411096 0.00663126 16322.4 486.389 0.822387 0.0595125 0.0232446 0 0
0.00411096 0.00736806 15496.4 467.558 0.855508 0.0609861 0.0239431 0 0
0.00442719 0.00368403 29305.8 578.789 0.691099 0.0542505 0.0164014 0 0
0.00442719 0.00442084 23129.1 552.723 0.723689 0.0557241 0.0195468 0 0
0.00442719 0.00478924 21213.6 540.504 0.740051 0.0564609 0.0204889 0 0
0.00442719 0.00515764 19733.8 528.785 0.756451 0.0571977 0.0212365 0 0
0.00442719 0.00552605 18570. 517.539 0.772889 0.0579345 0.0218543 0 0
0.00442719 0.00589445 17645.9 506.74 0.789359 0.0586713 0.0223803 0 0
0.00442719 0.00626285 16909.1 496.365 0.805859 0.0594081 0.0228384 0 0
0.00442719 0.00663126 16322.4 486.389 0.822387 0.0601449 0.0232446 0 0
0.00442719 0.00736806 15496.4 467.558 0.855508 0.0616186 0.0239431 0 0
0.00474342 0.00368403 29305.8 578.789 0.691099 0.0548829 0.0164014 0 0
0.00474342 0.00442084 23129.1 552.723 0.723689 0.0563566 0.0195468 0 0
0.00474342 0.00478924 21213.6 540.504 0.740051 0.0570934 0.0204889 0 0
0.00474342 0.00515764 19733.8 528.785 0.756451 0.0578302 0.0212365 0 0
0.00474342 0.00552605 18570. 517.539 0.772889 0.058567 0.0218543 0 0
0.00474342 0.00589445 17645.9 506.74 0.789359 0.0593038 0.0223803 0 0
0.00474342 0.00626285 16909.1 496.365 0.805859 0.0600406 0.0228384 0 0
0.00474342 0.00663126 16322.4 486.389 0.822387 0.0607774 0.0232446 0 0
0.00474342 0.00736806 15496.4 467.558 0.855508 0.062251 0.0239431 0 0
0.00505964 0.00368403 29305.8 578.789 0.691099 0.0555154 0.0164014 0 0
0.00505964 0.00442084 23129.1 552.723 0.723689 0.056989 0.0195468 0 0
0.00505964 0.00478924 21213.6 540.504 0.740051 0.0577258 0.0204889 0 0
0.00505964 0.00515764 19733.8 528.785 0.756451 0.0584626 0.0212365 0 0
0.00505964 0.00552605 18570. 517.539 0.772889 0.0591994 0.0218543 0 0
0.00505964 0.00589445 17645.9 506.74 0.789359 0.0599362 0.0223803 0 0
0.00505964 0.00626285 16909.1 496.365 0.805859 0.060673 0.0228384 0 0
0.00505964 0.00663126 16322.4 486.389 0.822387 0.0614099 0.0232446 0 0
0.00505964 0.00736806 15496.4 467.558 0.855508 0.0628835 0.0239431 0 0
0.00537587 0.00368403 29305.8 578.789 0.691099 0.0561479 0.0164014 0 0
0.00537587 0.00442084 23129.1 552.723 0.723689 0.0576215 0.0195468 0 0
0.00537587 0.00478924 21213.6 540.504 0.740051 0.0583583 0.0204889 0 0
0.00537587 0.00515764 19733.8 528.785 0.756451 0.0590951 0.0212365 0 0
0.00537587 0.00552605 18570. 517.539 0.772889 0.0598319 0.0218543 0 0
0.00537587 0.00589445 17645.9 506.74 0.789359 0.0605687 0.0223803 0 0
0.00537587 0.00626285 16909.1 496.365 0.805859 0.0613055 0.0228384 0 0
0.00537587 0.00663126 16322.4 486.389 0.822387 0.0620423 0.0232446 0 0
0.00537587 0.00736806 15496.4 467.558 0.855508 0.0635159 0.0239431 0 0
0.0056921 0.00368403 29305.8 578.789 0.691099 0.0567803 0.0164014 0 0
0.0056921 0.00442084 23129.1 552.723 0.723689 0.0582539 0.0195468 0 0
0.0056921 0.00478924 21213.6 540.504 0.740051 0.0589907 0.0204889 0 0
0.0056921 0.00515764 19733.8 528.785 0.756451 0.0597275 0.0212365 0 0
0.0056921 0.00552605 18570. 517.539 0.772889 0.0604643 0.0218543 0 0
0.0056921 0.00589445 17645.9 506.74 0.789359 0.0612012 0.0223803 0 0
0.0056921 0.00626285 16909.1 496.365 0.805859 0.061938 0.0228384 0 0
0.0056921 0.00663126 16322.4 486.389 0.822387 0.0626748 0.0232446 0 0
0.0056921 0.00736806 15496.4 467.558 0.855508 0.0641484 0.0239431 0 0
0.00632456 0.00368403 29305.8 578.789 0.691099 0.0580452 0.0164014 0 0
0.00632456 0.00442084 23129.1 552.723 0.723689 0.0595188 0.0195468 0 0
0.00632456 0.00478924 21213.6 540.504 0.740051 0.0602556 0.0204889 0 0
0.00632456 0.00515764 19733.8 528.785 0.756451 0.0609925 0.0212365 0 0
0.00632456 0.00552605 18570. 517.539 0.772889 0.0617293 0.0218543 0 0
0.00632456 0.00589445 17645.9 506.74 0.789359 0.0624661 0.0223803 0 0
0.00632456 0.00626285 16909.1 496.365 0.805859 0.0632029 0.0228384 0 0
0.00632456 0.00663126 16322.4 486.389 0.822387 0.0639397 0.0232446 0 0
0.00632456 0.00736806 15496.4 467.558 0.855508 0.0654133 0.0239431 0 0

RowBox[{aluminum, ,  thrust = , , 500, ,  vol in^3 = , , 1.64733}]

rBot Wall stress lbf sp thrust weight dia r max stress min # noz max # noz
0.00353553 0.0039685 29305.8 640.596 0.780523 0.0559725 0.0176679 0 0
0.00353553 0.0047622 23129.1 611.97 0.817033 0.05756 0.0210562 0 0
0.00353553 0.00515905 21213.6 598.563 0.835335 0.0583537 0.022071 0 0
0.00353553 0.0055559 19733.8 585.712 0.853662 0.0591474 0.0228763 0 0
0.00353553 0.00595275 18570. 573.388 0.87201 0.0599411 0.0235419 0 0
0.00353553 0.0063496 17645.9 561.56 0.890377 0.0607348 0.0241085 0 0
0.00353553 0.00674645 16909.1 550.202 0.908756 0.0615285 0.0246019 0 0
0.00353553 0.0071433 16322.4 539.29 0.927146 0.0623222 0.0250395 0 0
0.00353553 0.00793701 15496.4 518.706 0.963937 0.0639096 0.025792 0 0
0.00424264 0.0039685 29305.8 640.596 0.780523 0.0573868 0.0176679 0 0
0.00424264 0.0047622 23129.1 611.97 0.817033 0.0589742 0.0210562 0 0
0.00424264 0.00515905 21213.6 598.563 0.835335 0.0597679 0.022071 0 0
0.00424264 0.0055559 19733.8 585.712 0.853662 0.0605616 0.0228763 0 0
0.00424264 0.00595275 18570. 573.388 0.87201 0.0613553 0.0235419 0 0
0.00424264 0.0063496 17645.9 561.56 0.890377 0.062149 0.0241085 0 0
0.00424264 0.00674645 16909.1 550.202 0.908756 0.0629427 0.0246019 0 0
0.00424264 0.0071433 16322.4 539.29 0.927146 0.0637364 0.0250395 0 0
0.00424264 0.00793701 15496.4 518.706 0.963937 0.0653238 0.025792 0 0
0.00459619 0.0039685 29305.8 640.596 0.780523 0.0580939 0.0176679 0 0
0.00459619 0.0047622 23129.1 611.97 0.817033 0.0596813 0.0210562 0 0
0.00459619 0.00515905 21213.6 598.563 0.835335 0.060475 0.022071 0 0
0.00459619 0.0055559 19733.8 585.712 0.853662 0.0612687 0.0228763 0 0
0.00459619 0.00595275 18570. 573.388 0.87201 0.0620624 0.0235419 0 0
0.00459619 0.0063496 17645.9 561.56 0.890377 0.0628561 0.0241085 0 0
0.00459619 0.00674645 16909.1 550.202 0.908756 0.0636498 0.0246019 0 0
0.00459619 0.0071433 16322.4 539.29 0.927146 0.0644435 0.0250395 0 0
0.00459619 0.00793701 15496.4 518.706 0.963937 0.0660309 0.025792 0 0
0.00494975 0.0039685 29305.8 640.596 0.780523 0.058801 0.0176679 0 0
0.00494975 0.0047622 23129.1 611.97 0.817033 0.0603884 0.0210562 0 0
0.00494975 0.00515905 21213.6 598.563 0.835335 0.0611821 0.022071 0 0
0.00494975 0.0055559 19733.8 585.712 0.853662 0.0619758 0.0228763 0 0
0.00494975 0.00595275 18570. 573.388 0.87201 0.0627695 0.0235419 0 0
0.00494975 0.0063496 17645.9 561.56 0.890377 0.0635632 0.0241085 0 0
0.00494975 0.00674645 16909.1 550.202 0.908756 0.0643569 0.0246019 0 0
0.00494975 0.0071433 16322.4 539.29 0.927146 0.0651506 0.0250395 0 0
0.00494975 0.00793701 15496.4 518.706 0.963937 0.066738 0.025792 0 0
0.0053033 0.0039685 29305.8 640.596 0.780523 0.0595081 0.0176679 0 0
0.0053033 0.0047622 23129.1 611.97 0.817033 0.0610955 0.0210562 0 0
0.0053033 0.00515905 21213.6 598.563 0.835335 0.0618892 0.022071 0 0
0.0053033 0.0055559 19733.8 585.712 0.853662 0.0626829 0.0228763 0 0
0.0053033 0.00595275 18570. 573.388 0.87201 0.0634766 0.0235419 0 0
0.0053033 0.0063496 17645.9 561.56 0.890377 0.0642703 0.0241085 0 0
0.0053033 0.00674645 16909.1 550.202 0.908756 0.065064 0.0246019 0 0
0.0053033 0.0071433 16322.4 539.29 0.927146 0.0658577 0.0250395 0 0
0.0053033 0.00793701 15496.4 518.706 0.963937 0.0674451 0.025792 0 0
0.00565685 0.0039685 29305.8 640.596 0.780523 0.0602152 0.0176679 0 0
0.00565685 0.0047622 23129.1 611.97 0.817033 0.0618026 0.0210562 0 0
0.00565685 0.00515905 21213.6 598.563 0.835335 0.0625963 0.022071 0 0
0.00565685 0.0055559 19733.8 585.712 0.853662 0.06339 0.0228763 0 0
0.00565685 0.00595275 18570. 573.388 0.87201 0.0641837 0.0235419 0 0
0.00565685 0.0063496 17645.9 561.56 0.890377 0.0649774 0.0241085 0 0
0.00565685 0.00674645 16909.1 550.202 0.908756 0.0657711 0.0246019 0 0
0.00565685 0.0071433 16322.4 539.29 0.927146 0.0665648 0.0250395 0 0
0.00565685 0.00793701 15496.4 518.706 0.963937 0.0681522 0.025792 0 0
0.00601041 0.0039685 29305.8 640.596 0.780523 0.0609223 0.0176679 0 0
0.00601041 0.0047622 23129.1 611.97 0.817033 0.0625097 0.0210562 0 0
0.00601041 0.00515905 21213.6 598.563 0.835335 0.0633034 0.022071 0 0
0.00601041 0.0055559 19733.8 585.712 0.853662 0.0640971 0.0228763 0 0
0.00601041 0.00595275 18570. 573.388 0.87201 0.0648908 0.0235419 0 0
0.00601041 0.0063496 17645.9 561.56 0.890377 0.0656845 0.0241085 0 0
0.00601041 0.00674645 16909.1 550.202 0.908756 0.0664782 0.0246019 0 0
0.00601041 0.0071433 16322.4 539.29 0.927146 0.0672719 0.0250395 0 0
0.00601041 0.00793701 15496.4 518.706 0.963937 0.0688593 0.025792 0 0
0.00636396 0.0039685 29305.8 640.596 0.780523 0.0616294 0.0176679 0 0
0.00636396 0.0047622 23129.1 611.97 0.817033 0.0632168 0.0210562 0 0
0.00636396 0.00515905 21213.6 598.563 0.835335 0.0640105 0.022071 0 0
0.00636396 0.0055559 19733.8 585.712 0.853662 0.0648042 0.0228763 0 0
0.00636396 0.00595275 18570. 573.388 0.87201 0.0655979 0.0235419 0 0
0.00636396 0.0063496 17645.9 561.56 0.890377 0.0663916 0.0241085 0 0
0.00636396 0.00674645 16909.1 550.202 0.908756 0.0671853 0.0246019 0 0
0.00636396 0.0071433 16322.4 539.29 0.927146 0.067979 0.0250395 0 0
0.00636396 0.00793701 15496.4 518.706 0.963937 0.0695664 0.025792 0 0
0.00707107 0.0039685 29305.8 640.596 0.780523 0.0630436 0.0176679 0 0
0.00707107 0.0047622 23129.1 611.97 0.817033 0.064631 0.0210562 0 0
0.00707107 0.00515905 21213.6 598.563 0.835335 0.0654247 0.022071 0 0
0.00707107 0.0055559 19733.8 585.712 0.853662 0.0662184 0.0228763 0 0
0.00707107 0.00595275 18570. 573.388 0.87201 0.0670121 0.0235419 0 0
0.00707107 0.0063496 17645.9 561.56 0.890377 0.0678058 0.0241085 0 0
0.00707107 0.00674645 16909.1 550.202 0.908756 0.0685995 0.0246019 0 0
0.00707107 0.0071433 16322.4 539.29 0.927146 0.0693932 0.0250395 0 0
0.00707107 0.00793701 15496.4 518.706 0.963937 0.0709806 0.025792 0 0

RowBox[{aluminum, ,  thrust = , , 1000, ,  vol in^3 = , , 3.29466}]

rBot Wall stress lbf sp thrust weight dia r max stress min # noz max # noz
0.005 0.005 29305.8 901.036 1.10983 0.071612 0.0222602 0 0
0.005 0.006 23129.1 861.876 1.16026 0.073612 0.0265291 0 0
0.005 0.0065 21213.6 843.615 1.18537 0.074612 0.0278078 0 0
0.005 0.007 19733.8 826.164 1.21041 0.075612 0.0288223 0 0
0.005 0.0075 18570. 809.476 1.23537 0.076612 0.0296609 0 0
0.005 0.008 17645.9 793.507 1.26023 0.077612 0.0303747 0 0
0.005 0.0085 16909.1 778.217 1.28499 0.078612 0.0309964 0 0
0.005 0.009 16322.4 763.569 1.30964 0.079612 0.0315477 0 0
0.005 0.01 15496.4 736.06 1.35859 0.081612 0.0324958 0 0
0.006 0.005 29305.8 901.036 1.10983 0.073612 0.0222602 0 0
0.006 0.006 23129.1 861.876 1.16026 0.075612 0.0265291 0 0
0.006 0.0065 21213.6 843.615 1.18537 0.076612 0.0278078 0 0
0.006 0.007 19733.8 826.164 1.21041 0.077612 0.0288223 0 0
0.006 0.0075 18570. 809.476 1.23537 0.078612 0.0296609 0 0
0.006 0.008 17645.9 793.507 1.26023 0.079612 0.0303747 0 0
0.006 0.0085 16909.1 778.217 1.28499 0.080612 0.0309964 0 0
0.006 0.009 16322.4 763.569 1.30964 0.081612 0.0315477 0 0
0.006 0.01 15496.4 736.06 1.35859 0.083612 0.0324958 0 0
0.0065 0.005 29305.8 901.036 1.10983 0.074612 0.0222602 0 0
0.0065 0.006 23129.1 861.876 1.16026 0.076612 0.0265291 0 0
0.0065 0.0065 21213.6 843.615 1.18537 0.077612 0.0278078 0 0
0.0065 0.007 19733.8 826.164 1.21041 0.078612 0.0288223 0 0
0.0065 0.0075 18570. 809.476 1.23537 0.079612 0.0296609 0 0
0.0065 0.008 17645.9 793.507 1.26023 0.080612 0.0303747 0 0
0.0065 0.0085 16909.1 778.217 1.28499 0.081612 0.0309964 0 0
0.0065 0.009 16322.4 763.569 1.30964 0.082612 0.0315477 0 0
0.0065 0.01 15496.4 736.06 1.35859 0.084612 0.0324958 0 0
0.007 0.005 29305.8 901.036 1.10983 0.075612 0.0222602 0 0
0.007 0.006 23129.1 861.876 1.16026 0.077612 0.0265291 0 0
0.007 0.0065 21213.6 843.615 1.18537 0.078612 0.0278078 0 0
0.007 0.007 19733.8 826.164 1.21041 0.079612 0.0288223 0 0
0.007 0.0075 18570. 809.476 1.23537 0.080612 0.0296609 0 0
0.007 0.008 17645.9 793.507 1.26023 0.081612 0.0303747 0 0
0.007 0.0085 16909.1 778.217 1.28499 0.082612 0.0309964 0 0
0.007 0.009 16322.4 763.569 1.30964 0.083612 0.0315477 0 0
0.007 0.01 15496.4 736.06 1.35859 0.085612 0.0324958 0 0
0.0075 0.005 29305.8 901.036 1.10983 0.076612 0.0222602 0 0
0.0075 0.006 23129.1 861.876 1.16026 0.078612 0.0265291 0 0
0.0075 0.0065 21213.6 843.615 1.18537 0.079612 0.0278078 0 0
0.0075 0.007 19733.8 826.164 1.21041 0.080612 0.0288223 0 0
0.0075 0.0075 18570. 809.476 1.23537 0.081612 0.0296609 0 0
0.0075 0.008 17645.9 793.507 1.26023 0.082612 0.0303747 0 0
0.0075 0.0085 16909.1 778.217 1.28499 0.083612 0.0309964 0 0
0.0075 0.009 16322.4 763.569 1.30964 0.084612 0.0315477 0 0
0.0075 0.01 15496.4 736.06 1.35859 0.086612 0.0324958 0 0
0.008 0.005 29305.8 901.036 1.10983 0.077612 0.0222602 0 0
0.008 0.006 23129.1 861.876 1.16026 0.079612 0.0265291 0 0
0.008 0.0065 21213.6 843.615 1.18537 0.080612 0.0278078 0 0
0.008 0.007 19733.8 826.164 1.21041 0.081612 0.0288223 0 0
0.008 0.0075 18570. 809.476 1.23537 0.082612 0.0296609 0 0
0.008 0.008 17645.9 793.507 1.26023 0.083612 0.0303747 0 0
0.008 0.0085 16909.1 778.217 1.28499 0.084612 0.0309964 0 0
0.008 0.009 16322.4 763.569 1.30964 0.085612 0.0315477 0 0
0.008 0.01 15496.4 736.06 1.35859 0.087612 0.0324958 0 0
0.0085 0.005 29305.8 901.036 1.10983 0.078612 0.0222602 0 0
0.0085 0.006 23129.1 861.876 1.16026 0.080612 0.0265291 0 0
0.0085 0.0065 21213.6 843.615 1.18537 0.081612 0.0278078 0 0
0.0085 0.007 19733.8 826.164 1.21041 0.082612 0.0288223 0 0
0.0085 0.0075 18570. 809.476 1.23537 0.083612 0.0296609 0 0
0.0085 0.008 17645.9 793.507 1.26023 0.084612 0.0303747 0 0
0.0085 0.0085 16909.1 778.217 1.28499 0.085612 0.0309964 0 0
0.0085 0.009 16322.4 763.569 1.30964 0.086612 0.0315477 0 0
0.0085 0.01 15496.4 736.06 1.35859 0.088612 0.0324958 0 0
0.009 0.005 29305.8 901.036 1.10983 0.079612 0.0222602 0 0
0.009 0.006 23129.1 861.876 1.16026 0.081612 0.0265291 0 0
0.009 0.0065 21213.6 843.615 1.18537 0.082612 0.0278078 0 0
0.009 0.007 19733.8 826.164 1.21041 0.083612 0.0288223 0 0
0.009 0.0075 18570. 809.476 1.23537 0.084612 0.0296609 0 0
0.009 0.008 17645.9 793.507 1.26023 0.085612 0.0303747 0 0
0.009 0.0085 16909.1 778.217 1.28499 0.086612 0.0309964 0 0
0.009 0.009 16322.4 763.569 1.30964 0.087612 0.0315477 0 0
0.009 0.01 15496.4 736.06 1.35859 0.089612 0.0324958 0 0
0.01 0.005 29305.8 901.036 1.10983 0.081612 0.0222602 0 0
0.01 0.006 23129.1 861.876 1.16026 0.083612 0.0265291 0 0
0.01 0.0065 21213.6 843.615 1.18537 0.084612 0.0278078 0 0
0.01 0.007 19733.8 826.164 1.21041 0.085612 0.0288223 0 0
0.01 0.0075 18570. 809.476 1.23537 0.086612 0.0296609 0 0
0.01 0.008 17645.9 793.507 1.26023 0.087612 0.0303747 0 0
0.01 0.0085 16909.1 778.217 1.28499 0.088612 0.0309964 0 0
0.01 0.009 16322.4 763.569 1.30964 0.089612 0.0315477 0 0
0.01 0.01 15496.4 736.06 1.35859 0.091612 0.0324958 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 100, ,  vol in^3 = , , 0.329466}]

rBot Wall stress lbf sp thrust weight dia r max stress min # noz max # noz
0.00158114 0.000464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 146.447 0.682843 0.0280468 RowBox[{RowBox[{0.010485, }], +, RowBox[{0.010485, , i}]}] 0 0
0.00158114 0.00232079 33313. 118.498 0.843893 0.03176 0.0143017 0 0
0.00158114 0.00348119 27934.7 105.346 0.949253 0.0340808 0.0153235 0 0
0.00158114 0.00464159 27997.9 94.5269 1.0579 0.0364016 0.0160003 0 0
0.00158114 0.011604 56789.9 56.7135 1.76325 0.0503264 0.0187189 0 0
0.00158114 0.0139248 71726.6 49.6999 2.01208 0.054968 0.0194716 0 0
0.00158114 0.0185664 107788. 39.7299 2.517 0.0642512 0.0208759 0 0
0.00158114 0.0208871 128798. 36.1187 2.76865 0.0688927 0.0215388 0 0
0.00158114 0.0232079 151760. 33.1477 3.0168 0.0735343 0.0221801 0 0
0.00158114 0.0255287 176661. 30.682 3.25924 0.0781759 0.0228021 0 0
0.00158114 0.0278495 203492. 28.6226 3.49375 0.0828175 0.0234069 0 0
0.00158114 0.0348119 295522. 24.2279 4.12747 0.0967423 0.025131 0 0
0.00158114 0.0464159 487231. 20.7559 4.8179 0.11995 0.0277634 0 0
0.00189737 0.000464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 146.447 0.682843 0.0286792 RowBox[{RowBox[{0.010485, }], +, RowBox[{0.010485, , i}]}] 0 0
0.00189737 0.00232079 33313. 118.498 0.843893 0.0323925 0.0143017 0 0
0.00189737 0.00348119 27934.7 105.346 0.949253 0.0347133 0.0153235 0 0
0.00189737 0.00464159 27997.9 94.5269 1.0579 0.0370341 0.0160003 0 0
0.00189737 0.011604 56789.9 56.7135 1.76325 0.0509588 0.0187189 0 0
0.00189737 0.0139248 71726.6 49.6999 2.01208 0.0556004 0.0194716 0 0
0.00189737 0.0185664 107788. 39.7299 2.517 0.0648836 0.0208759 0 0
0.00189737 0.0208871 128798. 36.1187 2.76865 0.0695252 0.0215388 0 0
0.00189737 0.0232079 151760. 33.1477 3.0168 0.0741668 0.0221801 0 0
0.00189737 0.0255287 176661. 30.682 3.25924 0.0788084 0.0228021 0 0
0.00189737 0.0278495 203492. 28.6226 3.49375 0.08345 0.0234069 0 0
0.00189737 0.0348119 295522. 24.2279 4.12747 0.0973747 0.025131 0 0
0.00189737 0.0464159 487231. 20.7559 4.8179 0.120583 0.0277634 0 0
0.00205548 0.000464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 146.447 0.682843 0.0289955 RowBox[{RowBox[{0.010485, }], +, RowBox[{0.010485, , i}]}] 0 0
0.00205548 0.00232079 33313. 118.498 0.843893 0.0327087 0.0143017 0 0
0.00205548 0.00348119 27934.7 105.346 0.949253 0.0350295 0.0153235 0 0
0.00205548 0.00464159 27997.9 94.5269 1.0579 0.0373503 0.0160003 0 0
0.00205548 0.011604 56789.9 56.7135 1.76325 0.0512751 0.0187189 0 0
0.00205548 0.0139248 71726.6 49.6999 2.01208 0.0559167 0.0194716 0 0
0.00205548 0.0185664 107788. 39.7299 2.517 0.0651998 0.0208759 0 0
0.00205548 0.0208871 128798. 36.1187 2.76865 0.0698414 0.0215388 0 0
0.00205548 0.0232079 151760. 33.1477 3.0168 0.074483 0.0221801 0 0
0.00205548 0.0255287 176661. 30.682 3.25924 0.0791246 0.0228021 0 0
0.00205548 0.0278495 203492. 28.6226 3.49375 0.0837662 0.0234069 0 0
0.00205548 0.0348119 295522. 24.2279 4.12747 0.097691 0.025131 0 0
0.00205548 0.0464159 487231. 20.7559 4.8179 0.120899 0.0277634 0 0
0.00221359 0.000464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 146.447 0.682843 0.0293117 RowBox[{RowBox[{0.010485, }], +, RowBox[{0.010485, , i}]}] 0 0
0.00221359 0.00232079 33313. 118.498 0.843893 0.0330249 0.0143017 0 0
0.00221359 0.00348119 27934.7 105.346 0.949253 0.0353457 0.0153235 0 0
0.00221359 0.00464159 27997.9 94.5269 1.0579 0.0376665 0.0160003 0 0
0.00221359 0.011604 56789.9 56.7135 1.76325 0.0515913 0.0187189 0 0
0.00221359 0.0139248 71726.6 49.6999 2.01208 0.0562329 0.0194716 0 0
0.00221359 0.0185664 107788. 39.7299 2.517 0.0655161 0.0208759 0 0
0.00221359 0.0208871 128798. 36.1187 2.76865 0.0701577 0.0215388 0 0
0.00221359 0.0232079 151760. 33.1477 3.0168 0.0747992 0.0221801 0 0
0.00221359 0.0255287 176661. 30.682 3.25924 0.0794408 0.0228021 0 0
0.00221359 0.0278495 203492. 28.6226 3.49375 0.0840824 0.0234069 0 0
0.00221359 0.0348119 295522. 24.2279 4.12747 0.0980072 0.025131 0 0
0.00221359 0.0464159 487231. 20.7559 4.8179 0.121215 0.0277634 0 0
0.00237171 0.000464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 146.447 0.682843 0.0296279 RowBox[{RowBox[{0.010485, }], +, RowBox[{0.010485, , i}]}] 0 0
0.00237171 0.00232079 33313. 118.498 0.843893 0.0333412 0.0143017 0 0
0.00237171 0.00348119 27934.7 105.346 0.949253 0.035662 0.0153235 0 0
0.00237171 0.00464159 27997.9 94.5269 1.0579 0.0379828 0.0160003 0 0
0.00237171 0.011604 56789.9 56.7135 1.76325 0.0519075 0.0187189 0 0
0.00237171 0.0139248 71726.6 49.6999 2.01208 0.0565491 0.0194716 0 0
0.00237171 0.0185664 107788. 39.7299 2.517 0.0658323 0.0208759 0 0
0.00237171 0.0208871 128798. 36.1187 2.76865 0.0704739 0.0215388 0 0
0.00237171 0.0232079 151760. 33.1477 3.0168 0.0751155 0.0221801 0 0
0.00237171 0.0255287 176661. 30.682 3.25924 0.0797571 0.0228021 0 0
0.00237171 0.0278495 203492. 28.6226 3.49375 0.0843987 0.0234069 0 0
0.00237171 0.0348119 295522. 24.2279 4.12747 0.0983234 0.025131 0 0
0.00237171 0.0464159 487231. 20.7559 4.8179 0.121531 0.0277634 0 0
0.00252982 0.000464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 146.447 0.682843 0.0299441 RowBox[{RowBox[{0.010485, }], +, RowBox[{0.010485, , i}]}] 0 0
0.00252982 0.00232079 33313. 118.498 0.843893 0.0336574 0.0143017 0 0
0.00252982 0.00348119 27934.7 105.346 0.949253 0.0359782 0.0153235 0 0
0.00252982 0.00464159 27997.9 94.5269 1.0579 0.038299 0.0160003 0 0
0.00252982 0.011604 56789.9 56.7135 1.76325 0.0522238 0.0187189 0 0
0.00252982 0.0139248 71726.6 49.6999 2.01208 0.0568653 0.0194716 0 0
0.00252982 0.0185664 107788. 39.7299 2.517 0.0661485 0.0208759 0 0
0.00252982 0.0208871 128798. 36.1187 2.76865 0.0707901 0.0215388 0 0
0.00252982 0.0232079 151760. 33.1477 3.0168 0.0754317 0.0221801 0 0
0.00252982 0.0255287 176661. 30.682 3.25924 0.0800733 0.0228021 0 0
0.00252982 0.0278495 203492. 28.6226 3.49375 0.0847149 0.0234069 0 0
0.00252982 0.0348119 295522. 24.2279 4.12747 0.0986396 0.025131 0 0
0.00252982 0.0464159 487231. 20.7559 4.8179 0.121848 0.0277634 0 0
0.00268794 0.000464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 146.447 0.682843 0.0302604 RowBox[{RowBox[{0.010485, }], +, RowBox[{0.010485, , i}]}] 0 0
0.00268794 0.00232079 33313. 118.498 0.843893 0.0339736 0.0143017 0 0
0.00268794 0.00348119 27934.7 105.346 0.949253 0.0362944 0.0153235 0 0
0.00268794 0.00464159 27997.9 94.5269 1.0579 0.0386152 0.0160003 0 0
0.00268794 0.011604 56789.9 56.7135 1.76325 0.05254 0.0187189 0 0
0.00268794 0.0139248 71726.6 49.6999 2.01208 0.0571816 0.0194716 0 0
0.00268794 0.0185664 107788. 39.7299 2.517 0.0664648 0.0208759 0 0
0.00268794 0.0208871 128798. 36.1187 2.76865 0.0711063 0.0215388 0 0
0.00268794 0.0232079 151760. 33.1477 3.0168 0.0757479 0.0221801 0 0
0.00268794 0.0255287 176661. 30.682 3.25924 0.0803895 0.0228021 0 0
0.00268794 0.0278495 203492. 28.6226 3.49375 0.0850311 0.0234069 0 0
0.00268794 0.0348119 295522. 24.2279 4.12747 0.0989559 0.025131 0 0
0.00268794 0.0464159 487231. 20.7559 4.8179 0.122164 0.0277634 0 0
0.00284605 0.000464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 146.447 0.682843 0.0305766 RowBox[{RowBox[{0.010485, }], +, RowBox[{0.010485, , i}]}] 0 0
0.00284605 0.00232079 33313. 118.498 0.843893 0.0342899 0.0143017 0 0
0.00284605 0.00348119 27934.7 105.346 0.949253 0.0366107 0.0153235 0 0
0.00284605 0.00464159 27997.9 94.5269 1.0579 0.0389314 0.0160003 0 0
0.00284605 0.011604 56789.9 56.7135 1.76325 0.0528562 0.0187189 0 0
0.00284605 0.0139248 71726.6 49.6999 2.01208 0.0574978 0.0194716 0 0
0.00284605 0.0185664 107788. 39.7299 2.517 0.066781 0.0208759 0 0
0.00284605 0.0208871 128798. 36.1187 2.76865 0.0714226 0.0215388 0 0
0.00284605 0.0232079 151760. 33.1477 3.0168 0.0760642 0.0221801 0 0
0.00284605 0.0255287 176661. 30.682 3.25924 0.0807057 0.0228021 0 0
0.00284605 0.0278495 203492. 28.6226 3.49375 0.0853473 0.0234069 0 0
0.00284605 0.0348119 295522. 24.2279 4.12747 0.0992721 0.025131 0 0
0.00284605 0.0464159 487231. 20.7559 4.8179 0.12248 0.0277634 0 0
0.00316228 0.000464159 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 146.447 0.682843 0.031209 RowBox[{RowBox[{0.010485, }], +, RowBox[{0.010485, , i}]}] 0 0
0.00316228 0.00232079 33313. 118.498 0.843893 0.0349223 0.0143017 0 0
0.00316228 0.00348119 27934.7 105.346 0.949253 0.0372431 0.0153235 0 0
0.00316228 0.00464159 27997.9 94.5269 1.0579 0.0395639 0.0160003 0 0
0.00316228 0.011604 56789.9 56.7135 1.76325 0.0534887 0.0187189 0 0
0.00316228 0.0139248 71726.6 49.6999 2.01208 0.0581303 0.0194716 0 0
0.00316228 0.0185664 107788. 39.7299 2.517 0.0674134 0.0208759 0 0
0.00316228 0.0208871 128798. 36.1187 2.76865 0.072055 0.0215388 0 0
0.00316228 0.0232079 151760. 33.1477 3.0168 0.0766966 0.0221801 0 0
0.00316228 0.0255287 176661. 30.682 3.25924 0.0813382 0.0228021 0 0
0.00316228 0.0278495 203492. 28.6226 3.49375 0.0859798 0.0234069 0 0
0.00316228 0.0348119 295522. 24.2279 4.12747 0.0999046 0.025131 0 0
0.00316228 0.0464159 487231. 20.7559 4.8179 0.123113 0.0277634 0 0

RowBox[{stainlesssteel420, ,  thrust = , , 1000, ,  vol in^3 = , , 3.29466}]

rBot Wall stress lbf sp thrust weight dia r max stress min # noz max # noz
0.005 0.001 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 398.483 2.50952 0.063612 RowBox[{RowBox[{0.0225893, }], +, RowBox[{0.0225893, , i}]}] 0 0
0.005 0.005 33313. 325.536 3.07186 0.071612 0.0308121 0 0
0.005 0.0075 27934.7 292.456 3.41932 0.076612 0.0330136 0 0
0.005 0.01 27997.9 265.931 3.76037 0.081612 0.0344716 0 0
0.005 0.025 56789.9 181.264 5.5168 0.111612 0.0403286 0 0
0.005 0.03 71726.6 168.768 5.92529 0.121612 0.0419504 0 0
0.005 0.04 107788. 157.638 6.34366 0.141612 0.0449757 0 0
0.005 0.045 128798. 158.5 6.30917 0.151612 0.0464038 0 0
0.005 0.05 151760. 164.402 6.08264 0.161612 0.0477855 0 0
0.005 0.055 176661. 177.246 5.64189 0.171612 0.0491257 0 0
0.005 0.06 203492. 201.421 4.96474 0.181612 0.0504286 0 0
0.005 0.075 295522. 773.427 1.29295 0.211612 0.0541431 0 0
0.005 0.1 487231. RowBox[{-, 86.0167}] RowBox[{-, 11.6256}] 0.261612 0.0598145 0 0
0.006 0.001 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 398.483 2.50952 0.065612 RowBox[{RowBox[{0.0225893, }], +, RowBox[{0.0225893, , i}]}] 0 0
0.006 0.005 33313. 325.536 3.07186 0.073612 0.0308121 0 0
0.006 0.0075 27934.7 292.456 3.41932 0.078612 0.0330136 0 0
0.006 0.01 27997.9 265.931 3.76037 0.083612 0.0344716 0 0
0.006 0.025 56789.9 181.264 5.5168 0.113612 0.0403286 0 0
0.006 0.03 71726.6 168.768 5.92529 0.123612 0.0419504 0 0
0.006 0.04 107788. 157.638 6.34366 0.143612 0.0449757 0 0
0.006 0.045 128798. 158.5 6.30917 0.153612 0.0464038 0 0
0.006 0.05 151760. 164.402 6.08264 0.163612 0.0477855 0 0
0.006 0.055 176661. 177.246 5.64189 0.173612 0.0491257 0 0
0.006 0.06 203492. 201.421 4.96474 0.183612 0.0504286 0 0
0.006 0.075 295522. 773.427 1.29295 0.213612 0.0541431 0 0
0.006 0.1 487231. RowBox[{-, 86.0167}] RowBox[{-, 11.6256}] 0.263612 0.0598145 0 0
0.0065 0.001 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 398.483 2.50952 0.066612 RowBox[{RowBox[{0.0225893, }], +, RowBox[{0.0225893, , i}]}] 0 0
0.0065 0.005 33313. 325.536 3.07186 0.074612 0.0308121 0 0
0.0065 0.0075 27934.7 292.456 3.41932 0.079612 0.0330136 0 0
0.0065 0.01 27997.9 265.931 3.76037 0.084612 0.0344716 0 0
0.0065 0.025 56789.9 181.264 5.5168 0.114612 0.0403286 0 0
0.0065 0.03 71726.6 168.768 5.92529 0.124612 0.0419504 0 0
0.0065 0.04 107788. 157.638 6.34366 0.144612 0.0449757 0 0
0.0065 0.045 128798. 158.5 6.30917 0.154612 0.0464038 0 0
0.0065 0.05 151760. 164.402 6.08264 0.164612 0.0477855 0 0
0.0065 0.055 176661. 177.246 5.64189 0.174612 0.0491257 0 0
0.0065 0.06 203492. 201.421 4.96474 0.184612 0.0504286 0 0
0.0065 0.075 295522. 773.427 1.29295 0.214612 0.0541431 0 0
0.0065 0.1 487231. RowBox[{-, 86.0167}] RowBox[{-, 11.6256}] 0.264612 0.0598145 0 0
0.007 0.001 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 398.483 2.50952 0.067612 RowBox[{RowBox[{0.0225893, }], +, RowBox[{0.0225893, , i}]}] 0 0
0.007 0.005 33313. 325.536 3.07186 0.075612 0.0308121 0 0
0.007 0.0075 27934.7 292.456 3.41932 0.080612 0.0330136 0 0
0.007 0.01 27997.9 265.931 3.76037 0.085612 0.0344716 0 0
0.007 0.025 56789.9 181.264 5.5168 0.115612 0.0403286 0 0
0.007 0.03 71726.6 168.768 5.92529 0.125612 0.0419504 0 0
0.007 0.04 107788. 157.638 6.34366 0.145612 0.0449757 0 0
0.007 0.045 128798. 158.5 6.30917 0.155612 0.0464038 0 0
0.007 0.05 151760. 164.402 6.08264 0.165612 0.0477855 0 0
0.007 0.055 176661. 177.246 5.64189 0.175612 0.0491257 0 0
0.007 0.06 203492. 201.421 4.96474 0.185612 0.0504286 0 0
0.007 0.075 295522. 773.427 1.29295 0.215612 0.0541431 0 0
0.007 0.1 487231. RowBox[{-, 86.0167}] RowBox[{-, 11.6256}] 0.265612 0.0598145 0 0
0.0075 0.001 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 398.483 2.50952 0.068612 RowBox[{RowBox[{0.0225893, }], +, RowBox[{0.0225893, , i}]}] 0 0
0.0075 0.005 33313. 325.536 3.07186 0.076612 0.0308121 0 0
0.0075 0.0075 27934.7 292.456 3.41932 0.081612 0.0330136 0 0
0.0075 0.01 27997.9 265.931 3.76037 0.086612 0.0344716 0 0
0.0075 0.025 56789.9 181.264 5.5168 0.116612 0.0403286 0 0
0.0075 0.03 71726.6 168.768 5.92529 0.126612 0.0419504 0 0
0.0075 0.04 107788. 157.638 6.34366 0.146612 0.0449757 0 0
0.0075 0.045 128798. 158.5 6.30917 0.156612 0.0464038 0 0
0.0075 0.05 151760. 164.402 6.08264 0.166612 0.0477855 0 0
0.0075 0.055 176661. 177.246 5.64189 0.176612 0.0491257 0 0
0.0075 0.06 203492. 201.421 4.96474 0.186612 0.0504286 0 0
0.0075 0.075 295522. 773.427 1.29295 0.216612 0.0541431 0 0
0.0075 0.1 487231. RowBox[{-, 86.0167}] RowBox[{-, 11.6256}] 0.266612 0.0598145 0 0
0.008 0.001 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 398.483 2.50952 0.069612 RowBox[{RowBox[{0.0225893, }], +, RowBox[{0.0225893, , i}]}] 0 0
0.008 0.005 33313. 325.536 3.07186 0.077612 0.0308121 0 0
0.008 0.0075 27934.7 292.456 3.41932 0.082612 0.0330136 0 0
0.008 0.01 27997.9 265.931 3.76037 0.087612 0.0344716 0 0
0.008 0.025 56789.9 181.264 5.5168 0.117612 0.0403286 0 0
0.008 0.03 71726.6 168.768 5.92529 0.127612 0.0419504 0 0
0.008 0.04 107788. 157.638 6.34366 0.147612 0.0449757 0 0
0.008 0.045 128798. 158.5 6.30917 0.157612 0.0464038 0 0
0.008 0.05 151760. 164.402 6.08264 0.167612 0.0477855 0 0
0.008 0.055 176661. 177.246 5.64189 0.177612 0.0491257 0 0
0.008 0.06 203492. 201.421 4.96474 0.187612 0.0504286 0 0
0.008 0.075 295522. 773.427 1.29295 0.217612 0.0541431 0 0
0.008 0.1 487231. RowBox[{-, 86.0167}] RowBox[{-, 11.6256}] 0.267612 0.0598145 0 0
0.0085 0.001 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 398.483 2.50952 0.070612 RowBox[{RowBox[{0.0225893, }], +, RowBox[{0.0225893, , i}]}] 0 0
0.0085 0.005 33313. 325.536 3.07186 0.078612 0.0308121 0 0
0.0085 0.0075 27934.7 292.456 3.41932 0.083612 0.0330136 0 0
0.0085 0.01 27997.9 265.931 3.76037 0.088612 0.0344716 0 0
0.0085 0.025 56789.9 181.264 5.5168 0.118612 0.0403286 0 0
0.0085 0.03 71726.6 168.768 5.92529 0.128612 0.0419504 0 0
0.0085 0.04 107788. 157.638 6.34366 0.148612 0.0449757 0 0
0.0085 0.045 128798. 158.5 6.30917 0.158612 0.0464038 0 0
0.0085 0.05 151760. 164.402 6.08264 0.168612 0.0477855 0 0
0.0085 0.055 176661. 177.246 5.64189 0.178612 0.0491257 0 0
0.0085 0.06 203492. 201.421 4.96474 0.188612 0.0504286 0 0
0.0085 0.075 295522. 773.427 1.29295 0.218612 0.0541431 0 0
0.0085 0.1 487231. RowBox[{-, 86.0167}] RowBox[{-, 11.6256}] 0.268612 0.0598145 0 0
0.009 0.001 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 398.483 2.50952 0.071612 RowBox[{RowBox[{0.0225893, }], +, RowBox[{0.0225893, , i}]}] 0 0
0.009 0.005 33313. 325.536 3.07186 0.079612 0.0308121 0 0
0.009 0.0075 27934.7 292.456 3.41932 0.084612 0.0330136 0 0
0.009 0.01 27997.9 265.931 3.76037 0.089612 0.0344716 0 0
0.009 0.025 56789.9 181.264 5.5168 0.119612 0.0403286 0 0
0.009 0.03 71726.6 168.768 5.92529 0.129612 0.0419504 0 0
0.009 0.04 107788. 157.638 6.34366 0.149612 0.0449757 0 0
0.009 0.045 128798. 158.5 6.30917 0.159612 0.0464038 0 0
0.009 0.05 151760. 164.402 6.08264 0.169612 0.0477855 0 0
0.009 0.055 176661. 177.246 5.64189 0.179612 0.0491257 0 0
0.009 0.06 203492. 201.421 4.96474 0.189612 0.0504286 0 0
0.009 0.075 295522. 773.427 1.29295 0.219612 0.0541431 0 0
0.009 0.1 487231. RowBox[{-, 86.0167}] RowBox[{-, 11.6256}] 0.269612 0.0598145 0 0
0.01 0.001 RowBox[{RowBox[{136383., }], -, RowBox[{77992., , i}]}] 398.483 2.50952 0.073612 RowBox[{RowBox[{0.0225893, }], +, RowBox[{0.0225893, , i}]}] 0 0
0.01 0.005 33313. 325.536 3.07186 0.081612 0.0308121 0 0
0.01 0.0075 27934.7 292.456 3.41932 0.086612 0.0330136 0 0
0.01 0.01 27997.9 265.931 3.76037 0.091612 0.0344716 0 0
0.01 0.025 56789.9 181.264 5.5168 0.121612 0.0403286 0 0
0.01 0.03 71726.6 168.768 5.92529 0.131612 0.0419504 0 0
0.01 0.04 107788. 157.638 6.34366 0.151612 0.0449757 0 0
0.01 0.045 128798. 158.5 6.30917 0.161612 0.0464038 0 0
0.01 0.05 151760. 164.402 6.08264 0.171612 0.0477855 0 0
0.01 0.055 176661. 177.246 5.64189