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["Balance Selection"]
[]
["Balance selection is a decisive step during the definition of an experiment, be it in the wind tunnel or any other test facility. An inappropriate balance selection either causes overload conditions possibly resulting in damages to the precious balance or the absolute measurement precision is unnecessarily reduced as the balance range is not utilized optimally. "]
[]
["A balance is 'suitable' if the following load criteria are fulfilled:"]
[]
[]
[]
[]
[]
["X, Y, Z, L, M, N:          maximally expected measurement loads defined by the application"]
["X’, Y’, Z’, L’, M’, N’:     limit loads defined by the balance."]
[]
["To get best measurement accuracy above load criteria should be close to one but must never exceed one."]
[]
[]
[]
["Guidance"]
[]
["Input\nTo the upper left 'Input for Required Loads' the total of the expected/measured loads have to be defined (total of aerodynamic loads plus model weight). "]
[]
["Note:\n- Use absolute values only.\n- For use as an external balance take into account the additional moment due to the transformation from model to balance    \n  reference frame."]
[]
[]
["Output\nAn 'Optimal Balance' will automatically be selected by calculating the three load criteria and displaying them in the diagrams to the right. For an optimal balance, the criteria show up in green color and the loads remain within their 'load triangle' in the diagram to the lower right."]
[]
[]
["Option\nIn addition you can select any other balance to the lower left 'Select Balance'. According to that selection and your input of expected/measured loads from above the results will be calculated."]
[]
[]
[]
["Nomenclature"]
[]
["X or Fx … axial force"]
["Y or Fy … side force"]
["Z or Fz … normal force"]
["L or Mx … positive rolling moment around positive x-axis"]
["M or My … positive pitching moment around positive y-axis"]
["N or Mz … positive yawing moment around positive z-axis"]
[]
[]
[]
[]
[]
["Rules of Use"]
[]
["- This tool was created by RUAG for the selection of its block-type balances. It's free of use but RUAG denies any claims \n  resulting from an inappropriate balance selection due to this tool.\n- RUAG tries to keep this tool free of errors but doesn't accept any guarantee. Notifications on bugs and comments about this \n  tool are welcome (aerodynamics@ruag.com).\n- All rights are exclusively owned by RUAG Schweiz AG. The tool may not be changed without the explicit and written \n  approval of RUAG Schweiz AG."]

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["Required Loads",null,null,null,null,null,"X",{"$f":"IF(B5/D19>1,1,B5/D19)","v":0.5},{"$f":"IF(1-H2<0,0,1-H2)","v":0.5}]
[null,"max loads",{"$f":"INDEX(Rechg!$C$1:$AP$1,1,Rechg!$B$13)","v":"Balance 188"},null,null,null,"Y",7.2727272727272724E-2,0.92727272727272725]
[null,"[N/Nm]",{"$f":"INDEX(Rechg!C2:AP2,1,Rechg!$B$13)","v":"design loads [N/Nm]"},{"$f":"INDEX(Rechg!D2:AP2,1,Rechg!$B$13)","v":"limit loads [N/Nm]"},null,null,"Z",0.10526315789473684,0.89473684210526316]
["X",500,{"$f":"INDEX(Rechg!C3:AP3,1,Rechg!$B$13)","v":900},{"$f":"INDEX(Rechg!D3:AP3,1,Rechg!$B$13)","v":900},null,null,"L",0.23636363636363636,0.76363636363636367]
["Y",400,{"$f":"INDEX(Rechg!C4:AP4,1,Rechg!$B$13)","v":1500},{"$f":"INDEX(Rechg!D4:AP4,1,Rechg!$B$13)","v":5000},null,null,"M",0.13157894736842105,0.86842105263157898]
["Z",2000,{"$f":"INDEX(Rechg!C5:AP5,1,Rechg!$B$13)","v":4000},{"$f":"INDEX(Rechg!D5:AP5,1,Rechg!$B$13)","v":15000},null,null,"N",0.38961038961038963,0.61038961038961037]
["L",130,{"$f":"INDEX(Rechg!C6:AP6,1,Rechg!$B$13)","v":300},{"$f":"INDEX(Rechg!D6:AP6,1,Rechg!$B$13)","v":600}]
["M",200,{"$f":"INDEX(Rechg!C7:AP7,1,Rechg!$B$13)","v":400},{"$f":"INDEX(Rechg!D7:AP7,1,Rechg!$B$13)","v":1700}]
["N",150,{"$f":"INDEX(Rechg!C8:AP8,1,Rechg!$B$13)","v":350},{"$f":"INDEX(Rechg!D8:AP8,1,Rechg!$B$13)","v":500}]
[null,null,{"$f":"INDEX(Rechg!C9:AP9,1,Rechg!$B$13)","v":"X/X'"},{"$f":"INDEX(Rechg!D9:AP9,1,Rechg!$B$13)","v":0.55555555555555558}]
[null,null,{"$f":"INDEX(Rechg!C10:AP10,1,Rechg!$B$13)","v":"Y/Y'+N/N'"},{"$f":"INDEX(Rechg!D10:AP10,1,Rechg!$B$13)","v":0.38}]
[null,null,{"$f":"INDEX(Rechg!C11:AP11,1,Rechg!$B$13)","v":"Z/Z'+L/L'+M/M'"},{"$f":"INDEX(Rechg!D11:AP11,1,Rechg!$B$13)","v":0.46764705882352942}]
[]
["Select Balance",null,"Selected Balance"]
[null,null,null,null,{"$f":"Rechg!D$12","v":266.38655462184875}]
[null,"Balance 194",{"$f":"INDEX(Rechg!C1:AP11,1,Rechg!$C$14)","v":"Balance 796"},null,{"$f":"E16","v":266.38655462184875}]
[null,null,{"$f":"INDEX(Rechg!C2:AP12,1,Rechg!$C$14)","v":"design loads [N/Nm]"},{"$f":"INDEX(Rechg!D2:AP12,1,Rechg!$C$14)","v":"limit loads [N/Nm]"},{"$f":"Rechg!F$12","v":34.345238095238095}]
[null,"Balance 199",{"$f":"INDEX(Rechg!C3:AP3,1,Rechg!$C$14)","v":1000},{"$f":"INDEX(Rechg!D3:AP3,1,Rechg!$C$14)","v":1000},{"$f":"E18","v":34.345238095238095}]
[null,null,{"$f":"INDEX(Rechg!C4:AP4,1,Rechg!$C$14)","v":800},{"$f":"INDEX(Rechg!D4:AP4,1,Rechg!$C$14)","v":5500},{"$f":"Rechg!H$12","v":18.636363636363637}]
[null,"Balance 187",{"$f":"INDEX(Rechg!C5:AP5,1,Rechg!$C$14)","v":3500},{"$f":"INDEX(Rechg!D5:AP5,1,Rechg!$C$14)","v":19000},{"$f":"E20","v":18.636363636363637}]
[null,null,{"$f":"INDEX(Rechg!C6:AP6,1,Rechg!$C$14)","v":350},{"$f":"INDEX(Rechg!D6:AP6,1,Rechg!$C$14)","v":550},{"$f":"Rechg!J$12","v":3.8461538461538463}]
[null,"Balance 197",{"$f":"INDEX(Rechg!C7:AP7,1,Rechg!$C$14)","v":350},{"$f":"INDEX(Rechg!D7:AP7,1,Rechg!$C$14)","v":1520},{"$f":"E22","v":3.8461538461538463}]
[null,null,{"$f":"INDEX(Rechg!C8:AP8,1,Rechg!$C$14)","v":350},{"$f":"INDEX(Rechg!D8:AP8,1,Rechg!$C$14)","v":385},{"$f":"Rechg!L$12","v":4.4977477477477477}]
[null,"Balance 198",{"$f":"INDEX(Rechg!C9:AP9,1,Rechg!$C$14)","v":"X/X'"},{"$f":"INDEX(Rechg!D9:AP9,1,Rechg!$C$14)","v":0.5},{"$f":"E24","v":4.4977477477477477},null,{"$f":"1-D25","v":0.5},{"$f":"IF(D25>1,1,D25)","v":0.5},{"$f":"IF(1-D25<0,0,1-D25)","v":0.5}]
[null,null,{"$f":"INDEX(Rechg!C10:AP10,1,Rechg!$C$14)","v":"Y/Y'+N/N'"},{"$f":"INDEX(Rechg!D10:AP10,1,Rechg!$C$14)","v":0.46233766233766238},{"$f":"Rechg!N$12","v":1.4555555555555557},null,{"$f":"1-D26","v":0.53766233766233762},{"$f":"IF(D26>1,1,D26)","v":0.46233766233766238},{"$f":"IF(1-D26<0,0,1-D26)","v":0.53766233766233762}]
[null,"Balance 196",{"$f":"INDEX(Rechg!C11:AP11,1,Rechg!$C$14)","v":"Z/Z'+L/L'+M/M'"},{"$f":"INDEX(Rechg!D11:AP11,1,Rechg!$C$14)","v":0.47320574162679419},{"$f":"E26","v":1.4555555555555557},null,{"$f":"1-D27","v":0.52679425837320581},{"$f":"IF(D27>1,1,D27)","v":0.47320574162679419},{"$f":"IF(1-D27<0,0,1-D27)","v":0.52679425837320581}]
[null,null,null,null,{"$f":"Rechg!P$12","v":0.55555555555555558}]
[null,"Balance 188","Dimensions",null,{"$f":"E28","v":0.55555555555555558}]
[null,null,"Length [mm]",{"$f":"INDEX(Rechg!D17:AP17,1,Rechg!$C$14)","v":180},{"$f":"Rechg!R$12","v":0.33333333333333331}]
[null,"Balance 192","Width [mm]",{"$f":"INDEX(Rechg!D18:AP18,1,Rechg!$C$14)","v":80},{"$f":"E30","v":0.33333333333333331}]
[null,null,"Height [mm]",{"$f":"INDEX(Rechg!D19:AP19,1,Rechg!$C$14)","v":60},{"$f":"Rechg!T$12","v":0.1}]
[null,"Balance 167",null,null,{"$f":"E32","v":0.1}]
[null,null,"Weight [kg]",{"$f":"INDEX(Rechg!D21:AP21,1,Rechg!$C$14)","v":5},{"$f":"Rechg!V$12","v":8.3333333333333329E-2}]
[null,"Balance 179",null,null,{"$f":"E34","v":8.3333333333333329E-2}]
[null,null,"Deformations",null,{"$f":"Rechg!X$12","v":4.1267605633802815E-2}]
[null,"Balance 602","δθ/δM [deg/Nm]",{"$f":"INDEX(Rechg!D24:AP24,1,Rechg!$C$14)","v":"8.0*10-5"},{"$f":"E36","v":4.1267605633802815E-2}]
[null,null,"δψ/δN [deg/Nm]",{"$f":"INDEX(Rechg!D25:AP25,1,Rechg!$C$14)","v":"2.0*10-4"},{"$f":"Rechg!Z$12","v":0.04}]
[null,"Balance 300","δφ/δL [deg/Nm]",{"$f":"INDEX(Rechg!D26:AP26,1,Rechg!$C$14)","v":"4.0*10-4"},{"$f":"E38","v":0.04}]
[null,null,null,null,{"$f":"Rechg!AB$12","v":6.8493150684931503E-2}]
[null,"Balance 191",null,null,{"$f":"E40","v":6.8493150684931503E-2}]
[null,null,null,null,{"$f":"Rechg!AD$12","v":61.417112299465245}]
[null,"Balance 351",null,null,{"$f":"E42","v":61.417112299465245}]
[null,null,null,null,{"$f":"Rechg!AF$12","v":1.0156862745098039}]
[null,"Balance 798",null,null,{"$f":"E44","v":1.0156862745098039}]
[null,null,null,null,{"$f":"Rechg!AH$12","v":0.5}]
["x","Balance 796",null,null,{"$f":"E46","v":0.5}]
[null,null,null,null,{"$f":"Rechg!AJ$12","v":0.27666666666666667}]
[null,"Balance 788",null,null,{"$f":"E48","v":0.27666666666666667}]
[null,null,null,null,{"$f":"Rechg!AL$12","v":0.33333333333333331}]
[null,"Balance 776",null,null,{"$f":"E50","v":0.33333333333333331}]
[null,"Balance 777",null,null,{"$f":"Rechg!AN$12","v":0.16666666666666666}]
[null,"Balance 777",null,null,{"$f":"E52","v":0.16666666666666666}]
[null,null,null,null,{"$f":"Rechg!AP$12","v":5.8679653679653679E-2}]
[null,"Balance 767",null,null,{"$f":"E54","v":5.8679653679653679E-2}]
[]
["Explanations"]
[]
["limit loads ",null,"only single forces or moments"]
["X', Y' .. N'",null,"acting on the balance"]
[]
["design loads",null,"combinations of forces/moments"]
["X, Y .. N",null,"acting simultaneously on the balance"]
[]
["deformations",null,"typical values from several balances"]

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[null,null,null,null,null,null,null,null,null,0,{"$f":"E$4*(1-L13/E$5)","v":7600}]
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[null,null,null,null,null,null,null,null,null,{"$f":"E$6*(1-L19/E$5)","v":0},0,{"$f":"E$5","v":550}]
[null,null,null,null,null,null,null,null,null,0,{"$f":"E$4*(1-L19/E$5)","v":0}]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"C6","v":200},{"$f":"C4","v":2000},{"$f":"C5","v":130},0]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"E5","v":550},0]

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[null,null,null,null,null,null,null,null,null,60,0,40]
[null,null,null,null,null,null,null,null,null,0,60]
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[null,null,null,null,null,null,null,null,null,40,0,60]
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[null,null,null,null,null,null,null,null,null,20,0,80]
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[null,null,null,null,null,null,null,null,null,0,0,100]
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[]
[null,null,null,null,null,"Hinweise"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,"zum Testen der Knöpfe muss der Entwicklermodus ausgeschaltet werden"]
[null,null,null,null,null,"-> Tabelle 1"]
[null,null,null,null,null,"Anpassen der Knopfzuordnung: am besten, indem jeder Knopf getestet wird, wobei im Makro 'Tabelle 1' dann an die jweilige Stelle gesprungen wird."]

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["y",{"$f":"'Balance Selection'!B6","v":400},20,40,80,170,100,350,250,1000,100,650,250,1900,1500,5000,1000,6500,3500,17000,5000,25000,10200,35500,11000,42500,25000,53000,100,200,400,3000,800,5500,600,10000,5500,11000,4000,16000,10000,32000]
["z",{"$f":"'Balance Selection'!B7","v":2000},10,85,80,320,200,550,300,4000,500,1850,1200,6000,4000,15000,5000,25000,12000,60000,20000,62000,45000,200000,45000,163000,25000,260000,130,400,2000,10000,3500,19000,8000,25000,5625,22500,8500,50000,30000,88000]
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[]
["Dimensions"]
["Length [mm]",null,null,100,null,150,null,150,null,200,null,200,null,200,null,250,null,250,null,350,null,500,null,280,null,500,null,540,null,120,null,160,null,180,null,250,null,300,null,300,null,350]
["Width [mm]",null,null,25,null,60,null,60,null,80,null,80,null,80,null,100,null,100,null,180,null,240,null,180,null,180,null,300,null,48,null,75,null,80,null,100,null,130,null,130,null,180]
["Height [mm]",null,null,22,null,40,null,40,null,50,null,50,null,50,null,70,null,80,null,120,null,180,null,120,null,160,null,230,null,40,null,50,null,60,null,70,null,90,null,90,null,120]
[]
["Weight [kg]",null,null,0.25,null,1.6,null,1.6,null,3.7,null,3.8,null,3.8,null,9.1,null,11.4,null,40,null,112.4,null,38.5,null,83.5,null,179,null,0.4,null,3.8,null,5,null,10.3,null,21,null,21.5,null,50]
[]
["Deformation"]
["δα/δMy [deg/Nm]",null,null,"4.9*10-2",null,"5.2*10-3",null,"5.2*10-3",null,"4.1*10-4",null,"8.5*10-4",null,"3.3*10-4",null,"1.2*10-4",null,"1.3*10-4",null,"1.2*10-5",null,"1.1*10-6",null,"5.3*10-6",null,"9.9*10-6",null,"3.4*10-6",null,"3.6*10-3",null,"1.2*10-4",null,"8.0*10-5",null,"2.8*10-5",null,"1.2*10-5",null,"1.2*10-5",null,"6.5*10-6"]
["δβ/δMz [deg/Nm]",null,null,"9.6*10-2",null,"1.2*10-2",null,"3.0*10-3",null,"1.1*10-3",null,"2.4*10-3",null,"6.7*10-4",null,"2.1*10-4",null,"1.7*10-4",null,"4.4*10-5",null,"1.6*10-5",null,"4.6*10-6",null,"1.8*10-5",null,"3.1*10-5",null,"7.0*10-3",null,"3.8*10-4",null,"2.0*10-4",null,"3.4*10-5",null,"3.0*10-5",null,"3.0*10-5",null,"1.5*10-5"]
["δφ/δMx [deg/Nm]",null,null,"1.0*10-0",null,"3.6*10-2",null,"1.5*10-3",null,"2.5*10-3",null,"6.5*10-3",null,"3.0*10-3",null,"6.6*10-4",null,"4.1*10-4",null,"5.1*10-5",null,"1.0*10-5",null,"1.9*10-5",null,"3.3*10-5",null,"9.5*10-6",null,"3.2*10-2",null,"8.3*10-4",null,"4.0*10-4",null,"1.4*10-4",null,"9.4*10-5",null,"9.4*10-5",null,"3.6*10-5"]