{"text_format":"1","workbook":"xlsx","n_sheets":6,"sheets":["Angle-triangle","Rayon de courbure","Surface-corroyage","Calcul_Section_Kocks","Laminage-vitesse-point neutre","ASTM E112"],"not_rendered":{"charts":2,"images":41,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Angle-triangle","index":0,"n_rows":20,"n_cols":7,"rows_kept":20,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,null,null,"Coordonnées des points"]
[null,null,null,null,null,"x","y"]
[null,null,null,null,"A",5,1]
[null,null,null,null,"B",0,1]
[null,null,null,null,"C",7,6]
[null,null,null,null,null,{"$f":"F4","v":5},{"$f":"G4","v":1}]
[]
[]
[]
[]
["Distances :",null,null,null,"Vecteur","x","y"]
["a=BC",{"$f":"SQRT( POWER(F6-F5,2) + POWER(G6-G5,2) )","v":8.6023252670426267},null,null,"OA",{"$f":"F4-F5","v":5},{"$f":"G4-G5","v":0}]
["b=AC",{"$f":"SQRT( POWER(F6-F4,2) + POWER(G6-G4,2) )","v":5.3851648071345037},null,null,"OB",{"$f":"F6-F5","v":7},{"$f":"G6-G5","v":5}]
["c=AB",{"$f":"SQRT( POWER(F5-F4,2) + POWER(G5-G4,2) )","v":5},null,null,"AB",{"$f":"F6-F4","v":2},{"$f":"G6-G4","v":5}]
[]
["Angles :","rad","deg",null,"Aire"]
["γ=ACB",{"$f":"ACOS( (B13*B13+B14*B14-B15*B15)/(2*B13*B14) )","v":0.57004046369971006},{"$f":"B18*180/PI()","v":32.660912721673796},null,"OAB",{"$f":"SQRT( (B14+B13+B15)/2 * ((B14+B13+B15)/2-B14) * ((B14+B13+B15)/2-B13) * ((B14+B13+B15)/2-B15) )","v":12.500000000000005}]
["b=ABC",{"$f":"ACOS( (B13*B13+B15*B15-B14*B14)/(2*B13*B15) )","v":0.62024948598282159},{"$f":"B19*180/PI()","v":35.537677791974389}]
["a=CAB",{"$f":"ACOS( (B14*B14+B15*B15-B13*B13)/(2*B14*B15) )","v":1.9513027039072615},{"$f":"B20*180/PI()","v":111.80140948635182}]

{"sheet":"Rayon de courbure","index":1,"n_rows":27,"n_cols":8,"rows_kept":27,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,null,null,null,null,"Somme des angles dans triangle OAB:"]
[null,null,null,null,null,null,"a/2 + b/2 = 90°     <=> a + b = 180°"]
[]
[null,null,null,null,null,null,"=>","xB = (-)R.sin(a/2)"]
[null,null,null,null,null,null,null,"yB = R"]
[]
[null,null,null,null,null,null,"=>","xA' = (-)R.sin(a)"]
[null,null,null,null,null,null,null,"yA' = R.cos(a)"]
[]
[]
[]
[]
[]
[]
[]
["Somme des angles dans triangle OAB:"]
["a + b = 90°"]
[]
["=>","xA = R.sin(a)"]
[null,"yA = R.cos(a)"]
[]
["=>","Dh = R [ 1/sin(a) - 1 ]"]
[]
["=>","AB = R / tan(a)"]
[]
["=>","DS = R² [ 1/tan(a) - p/2 + a ]"]

{"sheet":"Surface-corroyage","index":2,"n_rows":38,"n_cols":45,"rows_kept":38,"cut":false,"hidden":false,"merged":[[37,8,37,9],[1,1,2,5],[1,7,2,11],[36,3,36,4],[27,3,27,4],[28,3,28,4],[33,3,33,4],[34,3,34,4],[35,3,35,4]]}
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"RD",null,null,null,"CAA",null,null,null,"OCTO",null,null,null,"RECT",null,null,null,"LOS",null,null,null,"OV",null,null,null,"FxR",null,null,null,"KOCKS"]
[null,"Section d'entrée",null,null,null,null,null,"Section de sortie",null,null,null,null,null,"param1","Diamètre, Ø=",320,267,null,"Hauteur, h=",370,370,null,"Hauteur, h=",320,900,null,"Hauteur, h=",700,10,null,"Hauteur, h=",95.54,95.54,null,"Hauteur, h=",62,12,null,"h=",27,14,null,"Ht. sous galet, h=",11.8585357395279,16]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"param2","-",null,null,null,"Diagonale, d=",{"$f":"1.25*E5","v":400},{"$f":"1.25*K5","v":333.75},null,"-",null,null,null,"Largeur, l=",500,10,null,"Largeur, l=",131.5,131.5,null,"Largeur, l=",88.337900000000005,null,null,"l=",78.38,null,null,"Ht. bord libre, l=",{"$f":"E5","v":320},{"$f":"K5","v":267}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"param3","-",null,null,null,"-",null,null,null,"-",null,null,null,"Courbure, r=",10,null,null,"Courbure, r=",5,5,null,"-",null,null,null,"R1=",70,null,null,"-"]
[null,null,null,"Diamètre, Ø=",320,null,null,null,null,"Diamètre, Ø=",267,null,null,"param4","-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"-"]
[null,null,null,"-",null,null,null,null,null,"-",null,null,null,"param5","-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,null,null,null,null,"-",null,null,null,"-"]
[null,null,null,"-",null,null,null,null,null,"-",null,null,null,"dim1","Rayon, r=",{"$f":"$E$5/2","v":160},{"$f":"$K$5/2","v":133.5},null,"Côté, a=",{"$f":"SQRT(2)*$E$6 - $E$5","v":-320},{"$f":"SQRT(2)*$K$6 - $K$5","v":-267},null,"Côté, a=",{"$f":"$E$5/(1+SQRT(2))","v":132.54833995939043},{"$f":"$K$5/(1+SQRT(2))","v":110.59502115361639},null,"-",null,null,null,"alpha=",{"$f":"ATAN( ($E$6/2-$E$7)/($E$5/2-$E$7) )","v":0},{"$f":"ATAN( ($K$6/2-$K$7)/($K$5/2-$E$7) )","v":0},"rad","Ramanujan ,P≈",{"$f":"1.5*PI()*($E$5+$E$6) - 0.5*PI()*SQRT((3*$E$5+$E$6)*($E$5+3*$E$6))","v":637.34077889067601},{"$f":"1.5*PI()*($K$5+$K$6) - 0.5*PI()*SQRT((3*$K$5+$K$6)*($K$5+3*$K$6))","v":531.7812123869079},null,"R2=",{"$f":"$E$5/2 + 0.25*POWER($E$5-$E$6,2)/($E$6-2*$E$7)","v":{"$error":"#DIV/0!"}},{"$f":"$K$5/2 + 0.25*POWER($K$5-$K$6,2)/($K$6-2*$K$7)","v":{"$error":"#DIV/0!"}},null,"côté sous galet, ah=",{"$f":"SQRT(3) * (2*$E$6-$E$5) /3","v":-184.75208614068023},{"$f":"SQRT(3) * (2*$K$6-$K$5) /3","v":-154.15252187363006}]
[null,null,null,"-",null,null,null,null,null,"-",null,null,null,"dim2","-",null,null,null,"Côté, b=",{"$f":"SQRT(2)*$E$5 - $E$6","v":452.54833995939043},{"$f":"SQRT(2)*$K$5 - $K$6","v":377.59502115361641},null,"-",null,null,null,"-",null,null,null,"alpha=",{"$f":"180*$E$12/PI()","v":9167.3247220931717},{"$f":"180*$K$12/PI()","v":7648.9865649964904},"deg",null,null,null,null,"alpha=",{"$f":"ATAN( ($E$5/2-$E$7)/($E$12-$E$6/2) )","v":0.78539816339744828},{"$f":"ATAN( ($K$5/2-$K$7)/($K$12-$K$6/2) )","v":0.78539816339744828},"rad","bord libre, al=",{"$f":"SQRT(3) * (2*$E$5-$E$6) /3","v":369.50417228136047},{"$f":"SQRT(3) * (2*$K$5-$K$6) /3","v":308.30504374726013}]
[null,null,null,"-",null,null,null,null,null,"-",null,null,null,"dim3","-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"épaisseur, e=",{"$f":"2*$E$7 + ($E$5-2*$E$7)*SIN($E$12)","v":70.216082681281506},{"$f":"2*$K$7 + ($K$5-2*$E$7)*SIN($K$12)","v":266.95823461595796},null,"-",null,null,null,"beta=",{"$f":"ATAN( ($E$7/$E$12) * ($E$5/2-$E$7)/($E$12-$E$6/2) )","v":0},{"$f":"ATAN( ($K$7/$K$12) * ($K$5/2-$K$7)/($K$12-$K$6/2) )","v":0},"rad","-"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"dim4","-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"xT=",{"$f":"$E$7*COS($E$13)","v":0},{"$f":"$K$7*COS($K$13)","v":0},null,"-"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"dim5","-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"-",null,null,null,"yT=",{"$f":"$E$7*SIN($E$13)","v":0},{"$f":"$K$7*SIN($K$13)","v":0},null,"-"]
[null,null,null,"Rayon, r=",{"$f":"$E$5/2","v":160},null,null,null,null,"Rayon, r=",{"$f":"$K$5/2","v":133.5},null,null,"P=",null,{"$f":"PI()*$E$5","v":1005.3096491487338},{"$f":"PI()*$K$5","v":838.80523850847476},null,null,{"$f":"4*($E$5+$E$6)","v":1280},{"$f":"4*($K$5+$K$6)","v":1068},null,null,{"$f":"8*$E$12","v":1280},{"$f":"8*$K$12","v":1068},null,null,{"$f":"2*($E$5+$E$6) - (8-2*PI())*$E$7","v":640},{"$f":"2*($K$5+$K$6) - (8-2*PI())*$K$7","v":534},null,null,{"$f":"4*SQRT( POWER($E$5/2-$E$7,2) + POWER($E$6/2-$E$7,2) )+ 2*PI()*$E$7","v":640},{"$f":"4*SQRT( POWER($K$5/2-$K$7,2) + POWER($K$6/2-$K$7,2) )+ 2*PI()*$K$7","v":534},null,null,{"$f":"$E$12","v":160},{"$f":"$K$12","v":133.5},null,null,{"$f":"(2*PI()-4*$E$13)*$E$7 + 4*$E$12*$E$13","v":0},{"$f":"(2*PI()-4*$K$13)*$K$7 + 4*$K$12*$K$13","v":0},null,null,{"$f":"3*($E$12+$E$13)","v":480},{"$f":"3*($K$12+$K$13)","v":400.5}]
[null,null,null,"-",null,null,null,null,null,"-",null,null,null,"S=",null,{"$f":"PI()*POWER($E$5,2)/4","v":80424.771931898707},{"$f":"PI()*POWER($K$5,2)/4","v":55990.249670440688},null,null,{"$f":"2*SQRT(2)*$E$5*$E$6 - POWER($E$5,2) - POWER($E$6,2)","v":-102400},{"$f":"2*SQRT(2)*$K$5*$K$6 - POWER($K$5,2) - POWER($K$6,2)","v":-71289},null,null,{"$f":"2*(1+SQRT(2))*POWER(E12,2)","v":123607.73439350245},{"$f":"2*(1+SQRT(2))*POWER(K12,2)","v":86053.435324007776},null,null,{"$f":"$E$5*$E$6 - (4-PI())*POWER($E$7,2)","v":0},{"$f":"$K$5*$K$6 - (4-PI())*POWER($K$7,2)","v":0},null,null,{"$f":"2*($E$5/2-$E$7)*($E$6/2-$E$7) + 4*$E$7*SQRT( POWER($E$5/2-$E$7,2) + POWER($E$6/2-$E$7,2) ) + PI()*POWER($E$7,2)","v":0},{"$f":"2*($K$5/2-$K$7)*($K$6/2-$K$7) + 4*$K$7*SQRT( POWER($K$5/2-$K$7,2) + POWER($K$6/2-$K$7,2) ) + PI()*POWER($K$7,2)","v":0},null,null,{"$f":"PI()*$E$5*$E$6/4","v":0},{"$f":"PI()*$K$5*$K$6/4","v":0},null,null,{"$f":"(PI()-2*$E$13)*POWER($E$7,2) + 2*$E$13*POWER($E$12,2) - 2*($E$12-$E$6/2)*($E$5/2-$E$7)","v":-51200},{"$f":"(PI()-2*$K$13)*POWER($K$7,2) + 2*$K$13*POWER($K$12,2) - 2*($K$12-$K$6/2)*($K$5/2-$K$7)","v":-35644.5},null,null,{"$f":"SQRT(3) * (4*$E$5*$E$6 - POWER($E$5,2) - POWER($E$6,2) ) / 4","v":-44340.500673763258},{"$f":"SQRT(3) * (4*$K$5*$K$6 - POWER($K$5,2) - POWER($K$6,2) ) / 4","v":-30869.042505194422}]
[null,null,null,"-",null,null,null,null,null,"-"]
[null,null,null,"-",null,null,null,null,null,"-"]
[null,null,null,"-",null,null,null,null,null,"-"]
[]
[]
[null,null,null,"Périmètre =",{"$f":"PI()*$E$5","v":1005.3096491487338},null,null,null,null,"Périmètre =",{"$f":"PI()*$K$5","v":838.80523850847476}]
[null,null,null,"Surface =",{"$f":"PI()*POWER($E$5,2)/4","v":80424.771931898707},null,null,null,null,"Surface =",{"$f":"PI()*POWER($K$5,2)/4","v":55990.249670440688}]
[]
[]
[]
[]
[]
[]
[]
[null,null,"Corroyage, K=",{"$f":"E20/K20","v":1.4364067387675519},null,null,null,null,null,null,"densité"]
[null,null,"Allongement =",{"$f":"E20/K20-1","v":0.43640673876755187},null,null,null,null,null,"titane (TA6V)",4.42]
[null,null,null,null,null,null,null,null,null,"acier",7.7]
[null,null,null,"entrée","sortie",null,null,null,null,"superalliage (inco. 718)",8.23]
[null,null,"Longueur",{"$f":"5200","v":5200},{"$f":"D28*D32","v":7469.3150415912696},"mm",null,null,null,"superalliage (XSH)",9.1]
[]
[null,null,"Densité",8.19]
[null,null,"Volume",{"$f":"D32*E20/1000000000","v":0.41820881404587329},null,"m3",null,null,"Calcul mise au mille"]
[null,null,"Poids",{"$f":"D35*D34*1000","v":3425.130187035702},null,"kg",null,null,"entrée","sortie"]
[null,null,null,{"$f":"D36/1000","v":3.4251301870357018},null,"tonnes",null,null,7300,{"$f":"12*580","v":6960},"kg/tonne"]
[null,null,null,null,null,null,null,null,{"$f":"I37/J37*1000","v":1048.8505747126437},null,"‰"]

{"sheet":"Calcul_Section_Kocks","index":3,"n_rows":37,"n_cols":17,"rows_kept":37,"cut":false,"hidden":false,"merged":[[0,6,0,9],[14,2,15,2],[14,1,15,1],[14,0,15,0],[14,3,15,3]]}
[null,null,"Diamètre initial =",{"$f":"20^2/19.81","v":20.191822311963655},"mm",null,{"$f":"IF(COUNTIF(D18:D37,\"<1\")>0,\"WARNING : Corroyage < 1\",\"\")","v":""}]
[null,null,"Diamètre final =",{"$f":"12^2/11.89","v":12.111017661900757},"mm"]
[null,null,null,null,null,null,"coeff. élargissement=",1.02,null,null,null,null,null,null,"coeff. dilatation="]
[null,null,"Nb. total de cages Kocks",8,null,null,null,null,null,null,null,null,null,null,"TA6V",10.5,"10-6 K-1"]
[null,null,"Nb. de cages ébauchage",1,null,null,"coeff. ébauchage=",1.05,null,null,null,null,null,null,"acier",12]
[null,null,"Nb. de cages finition",1,null,null,"coeff. finition=",0.95]
[null,null,null,null,null,null,null,null,null,{"$f":"J8*0.000001*J9","v":9.4500000000000001E-3}]
[null,null,"Corroyage total =",{"$f":"(D1/D2)^2","v":2.7796477055456208},null,null,null,null,"coeff. dilatation=",10.5,"10-6 K-1"]
[null,null,"Corroyage moyen =",{"$f":"POWER( D8 / (H5^D5 * H6^D6), 1/D4)","v":1.1366705461518596},null,null,null,null,"DT°c entre ambiante et laminage=",900,"°C"]
[]
[]
[]
[]
[]
["No.","Type","Facteur\ncorroy.","Corroy.\nallongt.","(hot)",null,null,null,"(cold)"]
[null,null,null,null,"Section","h","l",null,"Section","h","l"]
[0,null,{"$f":"IF(C18<>\"\",C18,1) * IF(C19<>\"\",C19,1) * IF(C20<>\"\",C20,1) * IF(C21<>\"\",C21,1) * IF(C22<>\"\",C22,1) * IF(C23<>\"\",C23,1) * IF(C24<>\"\",C24,1) * IF(C25<>\"\",C25,1) * IF(C26<>\"\",C26,1) * IF(C27<>\"\",C27,1) * IF(C28<>\"\",C28,1) * IF(C29<>\"\",C29,1) * IF(C30<>\"\",C30,1) * IF(C31<>\"\",C31,1) * IF(C32<>\"\",C32,1) * IF(C33<>\"\",C33,1) * IF(C34<>\"\",C34,1) * IF(C35<>\"\",C35,1) * IF(C36<>\"\",C36,1) * IF(C37<>\"\",C37,1)","v":0.99749999999999994},{"$f":"POWER(D8/C17,1/D4)","v":1.1366705461518596},{"$f":"PI() * D1^2/4","v":320.21444037281924},{"$f":"D1","v":20.191822311963655},{"$f":"D1","v":20.191822311963655},null,{"$f":"IF($A17>$D$4,\"\", (1-$J$7)*E17 )","v":317.1884139112961},{"$f":"(1-$J$7)*F17","v":20.001009591115601},{"$f":"(1-J7)*G17","v":20.001009591115601}]
[1,{"$f":"IF(A18<=$D$5,\"ROUGH\",\"\") & IF(AND(A18>$D$5,A18<=$D$4-$D$6),\"STD\",\"\") & IF(AND(A18>$D$4-$D$6,A18<=$D$4),\"FINISH\",\"\")","v":"ROUGH"},{"$f":"IF(A18<=$D$4,   IF(B18=\"ROUGH\",$H$5*($D$5-A18+1)/$D$5 + (1-($D$5-A18+1)/$D$5),0)  +  IF(B18=\"STD\",1,0)  +  IF(B18=\"FINISH\", $H$6*(A18-$D$4+$D$6)/$D$6 + (1-(A18-$D$4+$D$6)/$D$6),0),   \"\")","v":1.05},{"$f":"IF(A18<=$D$4,   C18*$D$17,   \"\")","v":1.1935040734594526},{"$f":"IF(A18<=$D$4,E17/D18,\"\")","v":268.29773562871549},{"$f":"IF(A18>$D$4,\"\", IF(A18=$D$4, $D$2,2*G18 - SQRT( 3*G18^2 - 4*E18/SQRT(3) )) )","v":15.638697308290226},{"$f":"IF(A18>$D$4,\"\", IF(A18=$D$4, $D$2, $H$3*F17) )","v":20.59565875820293},null,{"$f":"IF(A18>$D$4,\"\", (1-$J$7)^2*E18 )","v":263.2508680838688},{"$f":"IF($A18>$D$4,\"\", (1-$J$7)*F18 )","v":15.490911618726884},{"$f":"IF($A18>$D$4,\"\", (1-$J$7)*G18 )","v":20.401029782937915}]
[2,{"$f":"IF(A19<=$D$5,\"ROUGH\",\"\") & IF(AND(A19>$D$5,A19<=$D$4-$D$6),\"STD\",\"\") & IF(AND(A19>$D$4-$D$6,A19<=$D$4),\"FINISH\",\"\")","v":"STD"},{"$f":"IF(A19<=$D$4,   IF(B19=\"ROUGH\",$H$5*($D$5-A19+1)/$D$5 + (1-($D$5-A19+1)/$D$5),0)  +  IF(B19=\"STD\",1,0)  +  IF(B19=\"FINISH\", $H$6*(A19-$D$4+$D$6)/$D$6 + (1-(A19-$D$4+$D$6)/$D$6),0),   \"\")","v":1},1.1366705461518596,{"$f":"IF(A19<=$D$4,E18/D19,\"\")","v":236.03825799570848},{"$f":"IF(A19>$D$4,\"\", IF(A19=$D$4, $D$2,2*G19 - SQRT( 3*G19^2 - 4*E19/SQRT(3) )) )","v":17.129950314582551},15.951471254456031,null,{"$f":"IF(A19>$D$4,\"\", (1-$J$7)^2*E19 )","v":231.59821372612427},{"$f":"IF($A19>$D$4,\"\", (1-$J$7)*F19 )","v":16.968072284109748},15.800729851101423]
[3,"STD",1,1.1366705461518596,207.6575827488484,14.057176435030808,17.472549320874201,null,203.75139877617863,13.924336117719767,17.307433729791942]
[4,"STD",1,1.1366705461518596,182.68933197210274,14.717438009790348,14.338319963731424,null,179.25281821189847,14.578358220597829,14.202822840074163]
[5,"STD",1,1.1366705461518596,160.72320391391173,12.562563090868,15.011786769986156,null,157.69988834385634,12.443846869659298,14.869925385009788]
[6,"STD",1,1.1366705461518596,141.39823052337547,12.742121770336084,12.813814352685361,null,138.73843118196501,12.621708719606408,12.692723807052484]
[7,"STD",1,1.1366705461518596,124.3968456841536,11.179036365718506,12.996964205742806,null,122.05685425003483,11.073394472062466,12.874142893998537]
[8,"FINISH",0.95,1.0798370188442665,115.19964912602616,12.111017661900757,12.111017661900757,null,113.03266337421036,11.996568544995796,11.996568544995796]
[9,"","","","","","",null,"","",""]
[10,"","","","",{"$f":"IF(A27>$D$4,\"\", IF(A27=$D$4, $D$2,2*G27 - SQRT( 3*G27^2 - 4*E27/SQRT(3) )) )","v":""},"",null,"","",""]
[11,"","","","","","",null,"","",""]
[12,"","","","","","",null,"","",""]
[13,"","","","","","",null,"","",""]
[14,"","","","","","",null,"","",""]
[15,"","","","","","",null,"","",""]
[16,"","","","","","",null,"","",""]
[17,"","","","","","",null,"","",""]
[18,"","","","","","",null,"","",""]
[19,"","","","","","",null,"","",""]
[20,"","","","","","",null,"","",""]

{"sheet":"Laminage-vitesse-point neutre","index":4,"n_rows":102,"n_cols":26,"rows_kept":102,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"i","z","h(z)","vz(z)","vy(z)","v(z)","dz=",{"$f":"R2-R3","v":1.2162410287438916},"int1","int2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"-Q2/100 * $N$11","v":0},{"$f":"$M$7+$I$7/2-SQRT($I$7^2/4-R2^2)","v":105},{"$f":"$N$19 + $N$19*($J$11-1)*SQRT(1-(R2/$N$11)^2)","v":5724.6896905788853},{"$f":"R2*T2/SQRT($I$7^2/4-R2^2)","v":0},{"$f":"SQRT(T2^2+U2^2)","v":5724.6896905788853},{"$f":"SQRT(1-(R2/$N$11)^2)/SQRT(1-(2*R2/$I$7)^2)","v":1},{"$f":"SQRT(1-(R2/$N$11)^2)","v":1},{"$f":"SUM(Y3:Y102)","v":65.96571507308839},{"$f":"SUM(Z3:Z102)","v":64.551699818546723}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,{"$f":"-Q3/100 * $N$11","v":-1.2162410287438916},{"$f":"$M$7+$I$7/2-SQRT($I$7^2/4-R3^2)","v":105.00246541386377},{"$f":"$N$19 + $N$19*($J$11-1)*SQRT(1-(R3/$N$11)^2)","v":5724.6566959423017},{"$f":"R3*T3/SQRT($I$7^2/4-R3^2)","v":-23.208731894026151},{"$f":"SQRT(T3^2+U3^2)","v":5724.7037418222053},0.99995821645277094,{"$f":"SQRT(1-(R3/$N$11)^2)","v":0.99994999874993751},{"$f":"(W3+W2)/(2*(R2-R3))","v":0.82218827074033429},{"$f":"(X3+X2)/(2*(R2-R3))","v":0.82218489242031412}]
[null,null,null,null,null,null,null,null,null,null,null,"Section","Hauteur","Largeur",null,null,2,-2.4324820574877832,105.00986177702441,5724.557702131935,-46.417805531791814,5724.7458893568755,0.99983284709133124,0.99979997999599901,{"$f":"(W4+W3)/(2*(R3-R4))","v":0.82211955372425016},{"$f":"(X4+X3)/(2*(R3-R4))","v":0.82210266365180784}]
[null,null,null,null,null,null,null,null,null,null,null,"mm²","mm","mm",null,null,3,-3.6487230862316746,105.02218945421981,5724.3926794310664,-69.62756240568055,5724.816114581371,0.99962383572887814,0.9995498987044118,0.82198208889779312,0.82193818143320574]
[null,null,null,null,null,null,null,"vitesse rotation=",180,"RPM","ENTREE",9384.9599999999991,130.76,123.872,null,null,4,-4.8649641149755665,105.03944905344633,5724.1615782622503,-92.838343504475091,5724.9143864409389,0.99933108862883013,0.99919967974374369,0.82177581462705085,0.82169139636426425]
[null,null,null,null,null,null,null,"diamètre cylindre=",600,"mm","SORTIE",8303.17,105,130.85,null,null,5,-6.0812051437194583,105.06164142610902,5723.8643291127473,-116.0504890593301,5725.0406613490732,0.99895447436663543,0.99874921777190895,0.82150063834766895,0.82136223425182919]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,-7.2974461724633493,105.08876766723125,5723.5008424297748,-139.26433828706053,5725.194883077158,0.99849382363565231,0.99819837707742243,0.82115643642823477,0.82095059599812148]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,-8.513687201207242,105.12082911572537,5723.0710084851908,-162.48022912983069,5725.3769826118678,0.99794892899644017,0.99754699137434122,0.82074305398740544,0.82045635745117318]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,-9.7299282299511329,105.15782735472317,5722.5746972091429,-185.69849799031056,5725.5868779797738,0.99731954456861227,0.996794863550169,0.82026030466416888,0.81987936921690019]
[null,null,null,null,null,null,null,null,"Corroyage, K=",{"$f":"L6/L7","v":1.1302863845976896},null,null,"Longueur du contact, dl=",{"$f":"SQRT(M6-M7) * SQRT(I7-M6+M7)","v":121.62410287438915},"mm",null,9,-10.946169258695024,105.19976421196731,5722.011757992088,-208.91947946134559,5725.8244740384862,0.99660538566419232,0.99594176536582701,0.81970797034042253,0.81921945643210781]
[null,null,null,null,null,null,null,null,"Allongement =",{"$f":"L6/L7 - 1","v":0.1302863845976896},null,null,"angle du cylindre sous contact, theta_M=",{"$f":"ATAN(N11/(I7/2-M6+M7))","v":0.41743131905177139},"rad",null,10,-12.162410287438917,105.24664176026317,5721.3820194544705,-232.14350604915575,5726.0896622335304,0.99580612836121951,0.99498743710661997,0.81908580081496307,0.81847641849767039]
[null,null,null,null,null,null,null,null,"Déformation, ε=ln(K)=",{"$f":"LN(J11)","v":0.12247103831141162},null,null,null,{"$f":"N12*180/PI()","v":23.917052818245413},"deg",null,11,-13.378651316182808,105.29846231799212,5720.6852891832395,-255.37090788905098,5726.3823203200118,0.99492140901612391,0.99393158718294083,0.8183935134277317,0.81765002877089088]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12,-14.594892344926699,105.3552284496858,5719.9213534342398,-278.6020124526101,5726.7023120479762,0.99395082371317356,0.99277389167926855,0.81763079263300475,0.81674003421593111]
[null,null,null,null,null,null,null,null,"Déformation Adlam v1.5, ε=",{"$f":"2/SQRT(3) * SQRT( LN(M7/M6)^2 + LN(N7/N6)^2 + LN(L6/L7)^2 )","v":0.29696304186443168},null,null,"Vitesse linéaire du cylindre v_cyl=",{"$f":"I7 * (I6*PI()/60)","v":5654.8667764616275},"m/s",null,13,-15.811133373670589,105.41694296666242,5719.0899767994015,-301.83714424522827,5727.0494868102451,0.9928939276490597,0.99151399384980943,0.81679728952007413,0.81574615501107139]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,-17.027374402414484,105.48360892772496,5718.1909018374881,-325.0766244928883,5727.4236792513193,0.99175023445043686,0.99015150355892512,0.81589262127967799,0.8146680841113183]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,-18.243615431158371,105.55522963992172,5717.2238486670403,-348.32077081695542,5727.8247088357793,0.99051921542197385,0.98868599666425949,0.81491637061432809,0.81350548676477952]
[null,null,null,null,null,null,null,null,null,null,null,null,"vitesse rotation=",{"$f":"I6*PI()/30","v":18.849555921538759},"rad.s-1",null,16,-19.459856459902266,105.63180865937011,5716.1885145199685,-371.5698968957351,5728.2523793744558,0.98920029872219262,0.98711701434024535,0.81386808509032738,0.81225799998092008]
[null,null,null,null,null,null,null,null,null,null,null,null,"Vitesse entrée, v0=",{"$f":"3*I7*N18*N11 / (3*I7*N12 +4*(J11-1)*N11)","v":5064.8134566502031},"mm/s",null,17,-20.676097488646157,105.71334979214328,5715.0845732541147,-394.82431211145871,5728.7064785064222,0.98779286846407532,0.98544406233941051,0.81274727642927258,0.8109252319488337]
[null,null,null,null,null,null,null,null,null,null,null,null,"Vitesse sortie, v1=",{"$f":"J11*N19","v":5724.6896905788853},"mm/s",null,18,-21.892338517390048,105.79985709522128,5713.9116748228726,-418.08432118129025,5729.1867771346697,0.98629626373710289,0.98366661018863499,0.81155341973620865,0.80950676140308431]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19,-23.108579546133939,105.89133487750644,5712.6694446998235,-441.35022377085636,5729.6930288131125,0.98470977754704525,0.98178409031721425,0.81028595266176939,0.80800213693486678]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20,-24.324820574877833,105.98778770090343,5711.3574832560826,-464.62231408870713,5730.2249690823137,0.9830326556694603,0.9797958971132712,0.80894427449497586,0.80641087624562358]
[null,null,null,null,null,null,null,null,null,null,null,null,"z_N=",{"$f":"N11*SQRT(1-POWER(I7*N18/(2*N19)-1,2))","v":120.79591966764151},null,null,21,-25.541061603621721,106.08922038146568,5709.9753650878592,-487.90088046001182,5730.7823147510917,0.98126409541246051,0.97770138590471478,0.80752774518329329,0.80473246534021925]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,-26.757302632365615,106.19563799060762,5708.5226382914716,-511.18620487767123,5731.3647631208623,0.97940324428387648,0.97549987186057585,0.80603568427603067,0.80296635765630742]
[null,null,null,null,null,null,null,null,null,null,null,null,"z=",{"$f":"N23","v":120.79591966764151},null,null,23,-27.973543661109506,106.30704585638449,5706.9988236828103,-534.47856252890472,5731.9719911492894,0.97744919855748513,0.97319062880814877,0.80446736978703925,0.80111197312645044]
[null,null,null,null,null,null,null,null,null,null,null,null,"v(z)=",{"$f":"N19/SQRT(1-(2*N25/I7)^2) * (1+(J11-1)*SQRT(1-(N25/N11)^2))","v":5617.1676164588607},null,null,24,-29.189784689853397,106.42344956483942,5705.4034139579308,-557.77822129522031,5732.6036545494817,0.97540100173246103,0.97077288796092776,0.8028220369719028,0.79916869716883443]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25,-30.406025718597288,106.54485496141973,5703.7358727911669,-581.08544122352373,5733.2593868206195,0.97325764287966199,0.96824583655185426,0.80109887701480442,0.79713587960248355]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26,-31.622266747341179,106.6712681524624,5701.9956338667953,-604.40047396594343,5733.9387982054932,0.97101805486775306,0.96560861636586492,0.79929703561942145,0.7950128334820955]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27,-32.838507776085073,106.80269550675007,5700.182099839908,-627.72356218575726,5734.6414745700085,0.96868111246152255,0.96286032216516226,0.79741561149789197,0.79279883384739336]
[null,"Hypothèse :",null,null,null,null,null,null,null,null,null,null,null,null,null,null,28,-34.054748804828968,106.93914365713835,5698.2946412217379,-651.05493892659126,5735.3669761992633,0.96624563028400967,0.96,0.7954536547512624,0.79049311638131781]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,-35.270989833572848,107.08061950225527,5696.3325951842326,-674.39482694182652,5736.1148365042545,0.96371036063328308,0.95702664539708615,0.7934101651341795,0.78809487597083006]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30,-36.487230862316743,107.22713020827433,5694.295264278152,-697.74343798088762,5736.8845606327113,0.96107399114382308,0.95393920141694566,0.79128409019591239,0.78560326516349843]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,31,-37.703471891060637,107.37868321076195,5692.1819150584306,-721.10097202879422,5737.6756239769375,0.95833514228150696,0.95073655657074641,0.78907432328921312,0.78301739251256675]
[null,"Alors au contact du cylindre :",null,null,null,null,null,null,null,null,null,null,null,null,null,null,32,-38.919712919804532,107.53528621660013,5689.9917766099261,-744.46761649503969,5738.4874705708289,{"$f":"SQRT(1-(R34/$N$11)^2)/SQRT(1-(2*R34/$I$7)^2)","v":0.95549236466012577},0.94741754258616084,0.78677970143721809,0.78033632080200288]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,33,-40.135953948548419,107.69694720598648,5687.7240389659846,-767.84354534750094,5739.3195113674719,0.95254413616618527,0.94398093201081135,0.78439900304830945,0.77755906514285889]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,34,-41.352194977292314,107.86367443451144,5685.3778514115284,-791.22891818668711,5740.1711223878719,0.94948885887743573,0.9404254356406998,0.78193094546727981,0.77468459093082986]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35,-42.568436006036201,108.03547643531562,5682.9523206614967,-814.62387925519454,5741.041642730409,0.94632485575912728,0.93674969975975975,0.77937418235040401,0.77171181165429581]
[null,"Vitesse au contact du cylindre :",null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,-43.784677034780096,108.21236202132678,5680.4465089045761,-838.02855637674315,5741.9303724295605,0.94305036712036727,0.93295230317524813,0.77672730085039043,0.76863958654066822]
[null,"(on néglige v_x)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,37,-45.000918063523983,108.39434028757984,5677.8594317010775,-861.44305981861805,5742.8365701512475,0.93966354681115882,0.92903175403212135,0.77398881859624502,0.76546671802808464]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38,-46.217159092267877,108.58142061361946,5675.1900557226918,-884.86748107073504,5743.7594507108488,0.93616245813868948,0.92498648638777425,0.77115718045096615,0.76219194904758414]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,39,-47.433400121011772,108.7736126659882,5672.4372963205187,-908.30189153384845,5744.6981823984452,0.93254506947918225,0.92081485652654405,0.76823075502880767,0.75881396009992319]
[null,"On suppose que",null,null,"=>",null,null,null,null,null,null,null,null,null,null,null,40,-48.649641149755666,108.97092640080098,5669.6000149063175,-931.74634110866612,5745.651884094189,0.92880924955910937,0.91651513899116799,0.76520783095134326,0.75533136610892981]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,41,-49.865882178499547,109.17337206640781,5666.6770161302857,-955.20085667675937,5746.6196221548589,0.92495276237671797,0.91208552230588558,0.76208661281981716,0.75174271303181217]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,42,-51.082123207243441,109.38096020614637,5663.6670448368086,-978.66544046319393,5747.6004070505387,0.92097326173164473,0.90752410436307418,0.75886521687843089,0.74804647420429904]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,43,-52.298364235987336,109.59370166118663,5660.56878277754,-1002.140068269705,5748.5931897280061,0.91686828532678311,0.90282888744213319,0.75554166634080255,0.7442410463964112]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,44,-53.51460526473123,109.81160757346845,5657.3808450588003,-1025.624687566007,5749.5968576747273,0.91263524840250509,0.89799777282574589,0.75211388634815135,0.74032474555135297]
[null,null,"On suppose que 2z/Ø << 1, alors",null,null,null,null,null,null,null,null,null,null,null,null,null,45,-54.730846293475118,110.0346893887351,5654.1017762976071,-1049.1192154254315,5750.6102306543635,0.90827143685873357,0.89302855497458755,0.74857969852482265,0.73629580217749868]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,46,-55.947087322219012,110.2629588596642,5650.7300464575883,-1072.6235362894952,5751.6320560811919,0.90377399981512851,0.88791891521692456,0.74493681509219456,0.73215235635934495]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,47,-57.1633283509629,110.4964280490982,5647.2640463325806,-1096.1374995441993,5752.6610039969892,0.89913994155369514,0.88266641490429443,0.74118283249778283,0.72789245234961719]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,48,-58.379569379706794,110.73510933337633,5643.7020826417338,-1119.6609168888151,5753.6956616094103,0.89436611278134492,0.87726848797845236,0.73731522451077458,0.72351403269973824]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,49,-59.595810408450681,110.97901540577072,5640.0423726954195,-1143.193559475556,5754.7345273458241,0.8894492011421653,0.87172243288790041,0.73333133472968093,0.71901493188101051]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,50,-60.812051437194576,111.22815928002899,5636.2830385860443,-1166.735154795866,5755.7760043706758,0.88438572090027257,0.8660254037844386,0.72922836844042882,0.71439286934229018]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,51,-62.02829246593847,111.48255429402496,5632.4221008518889,-1190.2853832859741,5756.8183935077404,0.87917200170388898,0.86017440092111552,0.72500338375590034,0.7096454419434991]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,52,-63.244533494682358,111.7422141135209,5628.4574715551835,-1213.8438746208212,5757.8598855008495,0.87380417632951279,0.85416626016250496,0.7206532819583652,0.70477011569580161]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,53,-64.460774523426252,112.00715273604374,5624.3869467076884,-1237.410203661402,5758.898552537732,0.86827816729143159,0.8479976415061542,0.71617479695621133,0.69976421673038547]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,54,-65.677015552170147,112.27738449487714,5620.2081979677669,-1260.9838860158152,5759.9323389511819,0.86258967218605898,0.84166501650003245,0.71156448375413328,0.69462492140691512]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,55,-66.893256580914041,112.55292406317341,5615.9187635221933,-1284.5643731688735,5760.9590509997015,0.8567341476222311,0.83516465442450327,0.70681870582180895,0.68934924546013976]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,56,-68.109497609657936,112.83378645818749,5611.516038053398,-1308.1510471287195,5761.9763456156661,0.85070679156721007,0.82849260708831907,0.70193362123001501,0.68393403206887737]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57,-69.325738638401816,113.11998704563547,5606.9972616781133,-1331.7432145314667,5762.9817179925585,0.84450252391312919,0.82164469206585888,0.69690516740383768,0.67837593871439306]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,58,-70.541979667145696,113.41154154418251,5602.3595077261534,-1355.3401001361685,5763.9724878634479,0.83811596503921881,0.81461647417665217,0.69172904432032567,0.6726714226753322]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,59,-71.758220695889591,113.70846603006117,5597.5996692076724,-1378.9408396321442,5764.9457843000782,0.83154141211055788,0.80740324497737814,0.68640069595175557,0.66681672498304667]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,60,-72.974461724633485,114.01077694182555,5592.7144437931483,-1402.5444716686147,5765.8985288349204,0.82477281281313741,0.8,0.68091528972439708,0.6608078526332346]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,61,-74.19070275337738,114.3184910852429,5587.700317101715,-1426.1499290022437,5766.8274166764959,0.81780373617642921,0.79240141342630122,0.67526769372596385,0.65464055881706962]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,62,-75.406943782121274,114.63162563832816,5582.553544059283,-1449.7560286411369,5767.7288957500577,0.81062734007669612,0.7846018098373212,0.66945245135124698,0.64831032089598006]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,63,-76.623184810865169,114.95019815652347,5577.2701280469782,-1473.3614608434618,5768.5991432499395,0.80323633494489477,0.77659513261415691,0.66346375302284932,0.64181231579724207]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,64,-77.839425839609063,115.27422657802776,5571.8457975111614,-1496.9647768044092,5769.4340393348693,{"$f":"SQRT(1-(R66/$N$11)^2)/SQRT(1-(2*R66/$I$7)^2)","v":0.7956229431195676},0.7683749084919419,0.65729540456126823,0.63514139245150603]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,65,{"$f":"-Q67/100 * $N$11","v":-79.055666868352958},{"$f":"$M$7+$I$7/2-SQRT($I$7^2/4-R67^2)","v":115.60372922927979},{"$f":"$N$19 + $N$19*($J$11-1)*SQRT(1-(R67/$N$11)^2)","v":5566.2759796466908},{"$f":"R67*T67/SQRT($I$7^2/4-R67^2)","v":-1520.5643748357022},{"$f":"SQRT(T67^2+U67^2)","v":5770.2291375309542},0.78777885318426144,{"$f":"SQRT(1-(R67/$N$11)^2)","v":0.75993420767853315},0.65094079170274721,0.62829204082552503]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,66,-80.271907897096838,115.93872483059931,5560.555770692732,-1544.1584848061568,5770.979631326305,0.77969516850651988,0.751265598839718,{"$f":"(W68+W67)/(2*(R67-R68))","v":0.6443928401715121},{"$f":"(X68+X67)/(2*(R67-R68))","v":0.62125835702114118}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,67,-81.488148925840733,116.2792325019899,5554.6799022919304,-1567.7451505682179,5771.6803163425511,0.77136234904593248,0.74236109811869855,0.63764397060110223,0.61403400381131679]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,68,-82.704389954584627,116.62527176910942,5548.6427032550946,-1591.3222100420971,5772.3255473473837,0.7627701453151049,0.73321211119293428,0.63068604746275247,0.60661216586138789]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,69,-83.920630983328508,116.97686256941091,5542.4380559392612,-1614.8872725633933,5772.9091892226234,0.75390752315063669,0.7238093671679029,0.62351032098964332,0.59898549873195461]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,70,-85.136872012072402,117.3340252584606,5536.0593462800116,-1638.4376930186133,5773.4245608164338,0.74476257766938636,0.71414284285428498,0.61610736087723283,0.5911460705725704]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,71,-86.353113040816297,117.69678061643651,5529.4994063098893,-1661.9705421912911,5773.8643703756179,0.73532243443278722,0.70420167565833014,0.6084669802788889,0.5830852951809431]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,72,-87.569354069560191,118.06514985481459,5522.7504477313323,-1685.4825726136078,5774.2206409610653,0.72557313539790314,0.69397406291589891,0.60057814828836575,0.57479385480780587]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,73,-88.785595098304086,118.43915462324583,5515.8039847779364,-1708.9701790565437,5774.4846238774171,0.71549950667033335,0.68344714499367087,0.59242888868686783,0.56626161071549219]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,74,-90.001836127047966,118.81881701663195,5508.6507441696322,-1732.4293525850362,5774.6466976724078,0.70508500435309807,0.67260686883200949,0.58400616220396495,0.55747749902262278]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,75,-91.21807715579186,119.20415958240397,5501.2805594144966,-1755.8556268386938,5774.6962496475062,0.69431153385543531,0.66143782776614768,0.57529572886296954,0.54842940875622637]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,76,-92.434318184535755,119.59520532801133,5493.6822459896557,-1779.2440148532021,5774.6215360223296,0.68315923681431856,0.64992307237087688,0.56628198610121461,0.53910403823959452]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,77,-93.650559213279649,119.99197772862601,5485.8434529862097,-1802.5889342844243,5774.4095158445698,0.67160623818909493,0.63804388563797088,0.55694777720275723,0.52948672490477899]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,78,-94.866800242023544,120.3945007350701,5477.7504855433353,-1825.8841182965189,5774.0456523409739,0.65962834397373649,0.62577951388648057,0.54727416305701337,0.51956124224394029]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,79,-96.083041270767438,120.80279878197251,5469.3880907026314,-1849.1225085699041,5773.5136735284204,0.64719867712745294,0.61310684223877321,0.53724014821751653,0.50930955577314585]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,80,-97.299282299511333,121.2168967961623,5460.7391970074123,-1872.2961257914872,5772.7952813508791,0.63428723545498866,0.59999999999999987,0.52682234947538753,0.49871152739011021]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,81,-98.515523328255213,121.63682020530615,5451.784594989138,-1895.3959114850816,5771.8697950867918,0.62086034983167326,0.58642987645582989,0.51599459137756754,0.4877445540877538]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,82,-99.731764356999093,122.06259494679745,5442.5025412269724,-1918.4115329394244,5770.7137098436142,0.60688001370042499,0.57236352085016751,0.50472740785602932,0.47638312222651535]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,83,-100.94800538574299,122.49424747690534,5432.8682623255581,-1941.3311400108153,5769.3001439481395,0.59230304414751,0.55776339069537362,0.49298742169815774,0.46459825184186965]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,84,-102.16424641448688,122.9318047801915,5422.8533259723063,-1964.141058273229,5767.5981388966047,0.57708001949017818,0.54258639865002156,0.48073656290209188,0.45235679579146043]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,85,-103.38048744323078,123.37529437920404,5412.4248326706556,-1986.825396649509,5765.571760552587,0.56115391561414685,0.52678268764263703,0.46793107131070338,0.43962054437395448]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,86,-104.59672847197467,123.82474434445692,5401.5443612679046,-2009.365538114793,5763.1789276846548,0.5444583290558801,0.51029403288692299,0.45452020551053007,0.42634506484320328]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,87,-105.81296950071857,124.28018330470502,5390.1665697160815,-2031.7394673431331,5760.369858997301,0.52691512187757772,0.49305172142484199,0.44044454413774686,0.41247817274672816]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,88,-107.02921052946246,124.74164045752354,5378.2373021212206,-2053.9208658248676,5757.0849742729106,0.50843123922181754,0.4749736834815167,0.42563370936790262,0.39795788089229028]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,89,-108.24545155820634,125.20914558020303,5365.6909704480959,-2075.8778667815113,5753.2519941457094,0.48889431238127473,0.45596052460711989,0.41000325101395346,0.38270958884280309]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,90,-109.46169258695024,125.68272904097034,5352.446838544136,-2097.5712973890904,5748.7818280981637,0.46816642543167736,0.43588989435406728,0.3934502763820516,0.36664213666688644]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,91,-110.67793361569413,126.16242181054577,5338.4035864455973,-2118.9521211268188,5743.5625654643181,0.44607500702525993,0.41460824883255754,0.37584714330889846,0.34964210345090868]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,92,-111.89417464443802,126.64825547404951,5323.4310672925549,-2139.9575798086198,5737.4503720377324,0.42239903275558988,0.39191835884530846,0.35703204350776985,0.33156528542324704]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,93,-113.11041567318192,127.14026224326778,5307.3572477858179,-2160.5051140900086,5730.2550818993859,0.39684718839501221,0.36755951898978195,0.33679435317056378,0.31222342442248535]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,94,-114.3266567019258,127.63847496929208,5289.9463626717225,-2180.4822486096909,5721.7161198757285,0.36902137974637989,0.34117444218463971,0.31485065461587508,0.29136246205507221]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,95,-115.54289773066969,128.14292715554473,5270.8597446539679,-2199.7285536982231,5711.4593719791937,0.33835137030652912,0.31224989991991997,0.29080286445502795,0.26862452699009881]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,96,-116.75913875941359,128.65365297120354,5249.578802150234,-2218.0003693874223,5698.9124610391964,0.30396638458639313,0.28000000000000003,0.26405857873266003,0.24347554716665901]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,97,-117.97537978815747,129.17068726504067,5225.2326128209688,-2234.8922812687333,5683.1152871433469,0.2644079918980119,0.24310491562286443,0.2336602544445551,0.21504985576877025]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,98,-119.19162081690136,129.69406557969006,5196.1271692110568,-2249.6239340902257,5662.2032287303937,0.21684692831667893,0.1989974874213242,0.19784520865560659,0.18174950219397784]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,99,-120.40786184564526,130.22382416635901,5157.9004547630848,-2260.2096542267573,5631.3839135957578,0.15401702061906486,0.14106735979665894,0.15246317965393894,0.13980158503993004]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,100,-121.62410287438915,130.76,5064.8134566502031,-2246.220073261431,5540.5631454020595,0,0,6.3316816724284519E-2,5.7993175884861421E-2]

{"sheet":"ASTM E112","index":5,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}