{"text_format":"3","workbook":"xls","n_sheets":2,"sheets":["Calculs","Calculs manuels"],"not_rendered":{"charts":2,"images":3,"macros":1,"external_links":1,"defined_names":63},"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"Calculs","index":0,"n_rows":205,"n_cols":20,"rows_kept":205,"merged":[[0,1,0,4],[1,1,1,4],[3,4,3,7],[4,2,5,2],[4,4,4,6],[9,3,9,4],[12,1,12,6],[13,7,15,8],[15,17,15,19],[16,17,19,19],[19,1,20,3],[35,1,35,3],[61,9,61,14],[66,11,66,14],[70,2,70,3],[70,5,70,6],[75,5,75,11],[79,1,80,1],[85,1,85,3],[95,4,97,4],[95,6,96,9],[100,1,103,1],[100,2,103,2],[100,3,100,4],[100,6,104,10],[101,3,103,3],[101,4,103,4],[101,5,103,5]],"flags":["formulas_cached_only"]}
[]
[null,"Entrez vos valeurs dans les cellules jaunes",{"$nulls":3},"L'application ne vérifie pas lles limites (hauteur en fonction de la longueur DE ...)"]
[]
[{"$nulls":4},"Positions"]
[null,"Bras","Hauteur DH\ncourante",null,"Pour table",null,null,"Pour charge"]
[null,"DE,FB,HE,FG",null,null,"Hr mini","Hr maxi","XGt","XGc"]
[null,"(mm)","(mm)",null,"(mm)","(mm)","(mm)","(mm)"]
[null,660,151,null,151,1050,375,375]
[]
[{"$nulls":3},"Animation (hauteur)"]
[]
[]
[null,"Masses"]
[null,"Table","Charge","Bras FG","Bras HE","Bras DE","Bras FB","Un bras est l'ensemble de\n2 joues et 2 entretoises\n(poids considéré au milieu)"]
[null,"Mt","Mc","Mb1","Mb2","Mb3","Mb4"]
[null,"(kg)","(kg)","(kg)","(kg)","(kg)","(kg)",{"$nulls":10},"Pour information"]
[null,25.2,70,11.6,5.7,7.4,4.8,{"$nulls":10},"Résultats par les équations calculées en symbolique à l'aide de MAXIMA\n(Attention, agrandir la barre de formules, l'équation peut tenir sur plusieurs lignes!)"]
[]
[]
[null,"Résultats (résolution par inversion matrice)"]
[]
[null,"XRf",{"v":8847.328500851616,"d":"8847.33"},"  N",{"$nulls":13},"XRf",{"v":8847.328500851621,"d":"8847.33"},"  N"]
[null,"YRf",{"v":484.6303139446372,"d":"484.63"},"  N",{"$nulls":13},"YRf",{"v":484.63031394463746,"d":"484.63"},"  N"]
[null,"XFk",{"v":-8847.328500851616,"d":"-8847.33"},"  N",{"$nulls":13},"XFk",{"v":-8847.328500851621,"d":"-8847.33"},"  N"]
[null,"YFk",{"v":163.3038721107254,"d":"163.30"},"  N",{"$nulls":13},"YFk",{"v":163.30387211072528,"d":"163.30"},"  N"]
[null,"XRe",{"v":-8847.328500851616,"d":"-8847.33"},"  N",{"$nulls":13},"XRe",{"v":-8847.328500851621,"d":"-8847.33"},"  N"]
[null,"YRe",{"v":618.9946860553628,"d":"618.99"},"  N",{"$nulls":13},"YRe",{"v":618.9946860553629,"d":"618.99"},"  N"]
[null,"XFj",{"v":-27798.587287702285,"d":"-27798.59"},"  N",{"$nulls":13},"XFj",{"v":-27798.587287702296,"d":"-27798.59"},"  N"]
[null,"YFj",{"v":147.1173721107255,"d":"147.12"},"  N",{"$nulls":13},"YFj",{"v":147.11737211072546,"d":"147.12"},"  N"]
[null,"XRb",{"v":-18951.258786850667,"d":"-18951.26"},"  N",{"$nulls":13},"XRb",{"v":-18951.258786850678,"d":"-18951.26"},"  N"]
[null,"YRb",{"v":678.8356860553628,"d":"678.84"},"  N",{"$nulls":13},"YRb",{"v":678.8356860553628,"d":"678.84"},"  N"]
[null,"XRd",{"v":18951.258786850667,"d":"18951.26"},"  N",{"$nulls":13},"XRd",{"v":18951.258786850678,"d":"18951.26"},"  N"]
[null,"YRd",{"v":544.4713139446372,"d":"544.47"},"  N",{"$nulls":13},"YRd",{"v":544.4713139446374,"d":"544.47"},"  N"]
[]
[null,"Fv",{"v":-18951.258786850667,"d":"-18951.26"},"  N"]
[null,"(négatif = effort vérin en tirant)"]
[]
[null,"Voir aussi plus bas le graphique Fv = f(DH)"]
[]
[]
[]
[]
[]
[]
[null,"XRf","YRf","XFk","YFk","XRe","YRe","XFj","YFj","XRb","YRb","XRd","YRd","=",null,"Vérif 1"]
["1",{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.000"},null,{"v":0,"d":"0.000"}]
["2",{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":647.9341860553627,"d":"647.934"},null,{"v":0,"d":"0.000"}]
["3",{"v":-75.5,"d":"-75.50"},{"v":0,"d":"0.00"},-113.25,{"v":327.8337040330051,"d":"327.83"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":387523.16418413987,"d":"387523.164"},null,{"v":0,"d":"0.000"}]
["4",{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":-1,"d":"-1.00"},{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.000"},null,{"v":0,"d":"0.000"}]
["5",{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":-1,"d":"-1.00"},{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":455.6908139446374,"d":"455.691"},null,{"v":0,"d":"0.000"}]
["6",{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},113.25,{"v":-327.8337040330051,"d":"-327.83"},{"v":-75.5,"d":"-75.50"},{"v":655.6674080660102,"d":"655.67"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":18331.477228413547,"d":"18331.477"},null,{"v":8.003553375601768e-11,"d":"0.000"}]
["7",{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":-1,"d":"-1.00"},{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.000"},null,{"v":0,"d":"0.000"}]
["8",{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":-1,"d":"-1.00"},{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":72.59400000000001,"d":"72.594"},null,{"v":0,"d":"0.000"}]
["9",{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":75.5,"d":"75.50"},{"v":-655.6674080660102,"d":"-655.67"},-37.75,{"v":327.8337040330051,"d":"327.83"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":23798.759910571975,"d":"23798.760"},null,{"v":-7.639755494892597e-11,"d":"-0.000"}]
["10",{"v":-1,"d":"-1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":-1,"d":"-1.00"},{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.000"},null,{"v":0,"d":"0.000"}]
["11",{"v":0,"d":"0.00"},{"v":-1,"d":"-1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":-1,"d":"-1.00"},{"v":0,"d":"0.00"},{"v":1,"d":"1.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},47.088,null,{"v":7.815970093361102e-14,"d":"0.000"}]
["12",{"v":75.5,"d":"75.50"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},37.75,{"v":-327.8337040330051,"d":"-327.83"},{"v":0,"d":"0.00"},{"v":655.6674080660102,"d":"655.67"},{"v":0,"d":"0.00"},{"v":0,"d":"0.00"},{"v":15437.033455506145,"d":"15437.033"},null,{"v":1.127773430198431e-10,"d":"0.000"}]
[]
[]
[]
[]
[null,"Coordonnées des points (mm)",{"$nulls":7},"Poids (N)"]
[null,"Xf","Xe","Xk","Xj","Xb","Xh","Xg",null,"Pt","Pc","Pb1","Pb2","Pb3","Pb4"]
[null,0,655.6674080660102,327.8337040330051,327.8337040330051,655.6674080660102,0,655.6674080660102,null,"(N)","(N)","(N)","(N)","(N)","(N)"]
[{"$nulls":9},-247.21200000000002,-686.7,-113.796,-55.917,-72.59400000000001,-47.088,-1223.307,-124.69999999999999]
[null,"Yf","Ye","Yk","Yj","Yb","Yh","Yg"]
[null,75.5,75.5,113.25,37.75,0,151,151,null,"Pesanteur",null,"Efforts"]
[{"$nulls":9},"g",null,"Rg","Rh","Fg","Fh"]
[{"$nulls":9},"(m/s/s)",null,"(N)","(N)","(N)","(N)"]
[{"$nulls":9},9.81,null,{"v":534.1381860553627,"d":"534.138"},{"v":399.77381394463737,"d":"399.774"},{"v":-534.1381860553627,"d":"-534.138"},{"v":-399.77381394463737,"d":"-399.774"}]
[null,null,"Dessin",null,null,"Angle α bras DE / Ox"]
[null,"Points","X","Y",null,"(rad)","( ° )"]
[null,"H",0,151,null,0.11464491279934348,6.568669646047733]
[null,"E",655.6674080660102,75.5]
[null,"D",0,0]
[null,"B",655.6674080660102,0,null,"Equations utilisées ci-dessus",{"$nulls":6},"Vérif 2"]
[null,"F",0,75.5,null,"1","XFk+XRf = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[null,"G",655.6674080660102,151,null,"2","Fg+YFk+Pb1_+Yrf = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[{"$nulls":5},"3","Xg*Fg+Xk*YFk-Yk*XFk+Xk*Pb1_-Yf*XRf = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[null,"Table",0,151,null,"4","-XFk+Xre = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[null,null,760,151,null,"5","Fh+Pb2_-YFk+Yre = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[{"$nulls":5},"6","-Xk*YFk+Yk*XFk+Xk*Pb2_+Xe*YRe-Ye*XRe = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[null,"Gc",375,251,null,"7","XRd+XFj-Xre = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[null,"Gt",375,151,null,"8","Yrd+YFj+Pb3_-Yre = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[{"$nulls":5},"9","Xj*YFj-Yj*XFj+Xj*Pb3_-Xe*YRe+Ye*Xre = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[null,"Pour mise à jour échelle et proportions",{"$nulls":3},"10","-XRf-XFj+XRb = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[null,null,"X","Y",null,"11","-YRf+Pb4_-YFj+Yrb = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[null,"Min",0,0,null,"12","Yf*XRf+Xj*Pb4_-Xj*YFj+Yj*XFj+Xb*Yrb = 0",{"$nulls":5},{"v":0,"d":"0.0000"}]
[null,"Max",792,1260]
[]
[]
[]
[]
[null,"Calcul de l'effort du vérin par les travaux virtuels (pour info.) et comparaison avec calcul par les équations ci-dessus (ne pas oublier de modifier éventuellement les valeurs des hauteurs mini et maxi)"]
[]
[{"$nulls":4},"Charge* table+bras (N)",null,"* avec poids équivalent des bras ramené au niveau de la table pour le même déplacement des CdG"]
[]
[]
[{"$nulls":4},-1091.11725]
[]
[null,"Hauteur table DH\n(mm)","Longueur vérin DB\n(mm)","Calcul force vérin (val. abs.)",null,null,"Les trois colonnes bleues sont remplies par le code VBA dès qu'une modification intervient dand les cellules jaunes ; la colonne orange est calculées par formule, en fonction des valeurs des colonnes bleues"]
[{"$nulls":3},"par travaux virtuels\n(N)","par les équations\n(N)"]
[]
[]
[null,{"v":151,"d":"151.0"},{"v":655.6674080660102,"d":"655.7"},null,{"v":18951.258786850667,"d":"18951"}]
[null,{"v":159.99000549316406,"d":"160.0"},{"v":655.1341843741435,"d":"655.1"},{"v":17871.39553766426,"d":"17871"},{"v":17871.8216161534,"d":"17872"}]
[null,{"v":168.97999572753906,"d":"169.0"},{"v":654.5696603578417,"d":"654.6"},{"v":16906.027035736417,"d":"16906"},{"v":16906.433087965463,"d":"16906"}]
[null,{"v":177.97000122070312,"d":"178.0"},{"v":653.9737530408814,"d":"654.0"},{"v":16037.41982381342,"d":"16037"},{"v":16037.804980520226,"d":"16038"}]
[null,{"v":186.95999145507812,"d":"187.0"},{"v":653.3463785763101,"d":"653.3"},{"v":15251.610815980774,"d":"15252"},{"v":15251.979813251746,"d":"15252"}]
[null,{"v":195.9499969482422,"d":"195.9"},{"v":652.6874440909646,"d":"652.7"},{"v":14537.203791181102,"d":"14537"},{"v":14537.556319414902,"d":"14538"}]
[null,{"v":204.94000244140625,"d":"204.9"},{"v":651.9968549386025,"d":"652.0"},{"v":13884.799641824766,"d":"13885"},{"v":13885.137247866529,"d":"13885"}]
[null,{"v":213.92999267578125,"d":"213.9"},{"v":651.2745116757104,"d":"651.3"},{"v":13286.579168566042,"d":"13287"},{"v":13286.904660472923,"d":"13287"}]
[null,{"v":222.9199981689453,"d":"222.9"},{"v":650.5203060659131,"d":"650.5"},{"v":12735.985835255697,"d":"12736"},{"v":12736.29882027656,"d":"12736"}]
[null,{"v":231.91000366210938,"d":"231.9"},{"v":649.7341283558684,"d":"649.7"},{"v":12227.478284010691,"d":"12227"},{"v":12227.77981403019,"d":"12228"}]
[null,{"v":240.89999389648438,"d":"240.9"},{"v":648.9158637567497,"d":"648.9"},{"v":11756.342302260771,"d":"11756"},{"v":11756.634465468496,"d":"11757"}]
[null,{"v":249.88999938964844,"d":"249.9"},{"v":648.0653879441953,"d":"648.1"},{"v":11318.543102994574,"d":"11319"},{"v":11318.825493472637,"d":"11319"}]
[null,{"v":258.8800048828125,"d":"258.9"},{"v":647.1825752969318,"d":"647.2"},{"v":10910.605164165641,"d":"10911"},{"v":10910.878530391881,"d":"10911"}]
[null,{"v":267.8699951171875,"d":"267.9"},{"v":646.26729487804,"d":"646.3"},{"v":10529.519799270234,"d":"10530"},{"v":10529.785439295301,"d":"10530"}]
[null,{"v":276.8599853515625,"d":"276.9"},{"v":645.3194070596228,"d":"645.3"},{"v":10172.668722766808,"d":"10173"},{"v":10172.927458743041,"d":"10173"}]
[null,{"v":285.8500061035156,"d":"285.9"},{"v":644.3387645506476,"d":"644.3"},{"v":9837.764081592764,"d":"9838"},{"v":9838.01470468121,"d":"9838"}]
[null,{"v":294.8399963378906,"d":"294.8"},{"v":643.3252242372191,"d":"643.3"},{"v":9522.7950590452,"d":"9523"},{"v":9523.039726549328,"d":"9523"}]
[null,{"v":303.8299865722656,"d":"303.8"},{"v":642.2786270886446,"d":"642.3"},{"v":9225.990327710324,"d":"9226"},{"v":9226.229408479438,"d":"9226"}]
[null,{"v":312.82000732421875,"d":"312.8"},{"v":641.1988075116944,"d":"641.2"},{"v":8945.782044614973,"d":"8946"},{"v":8946.014489799858,"d":"8946"}]
[null,{"v":321.80999755859375,"d":"321.8"},{"v":640.0856047184895,"d":"640.1"},{"v":8680.776115214981,"d":"8681"},{"v":8681.003698871877,"d":"8681"}]
[null,{"v":330.79998779296875,"d":"330.8"},{"v":638.9388405935601,"d":"638.9"},{"v":8429.73124032511,"d":"8430"},{"v":8429.954249006196,"d":"8430"}]
[null,{"v":339.7900085449219,"d":"339.8"},{"v":637.7583300304752,"d":"637.8"},{"v":8191.537364490353,"d":"8192"},{"v":8191.754880696527,"d":"8192"}]
[null,{"v":348.7799987792969,"d":"348.8"},{"v":636.5438933120626,"d":"636.5"},{"v":7965.197635042275,"d":"7965"},{"v":7965.411145201005,"d":"7965"}]
[null,{"v":357.7699890136719,"d":"357.8"},{"v":635.2953319050041,"d":"635.3"},{"v":7749.816449616302,"d":"7750"},{"v":7750.026181872242,"d":"7750"}]
[null,{"v":366.760009765625,"d":"366.8"},{"v":634.012439790561,"d":"634.0"},{"v":7544.585904167334,"d":"7545"},{"v":7544.791049734622,"d":"7545"}]
[null,{"v":375.75,"d":"375.8"},{"v":632.6950168722684,"d":"632.7"},{"v":7348.774323677663,"d":"7349"},{"v":7348.976147953405,"d":"7349"}]
[null,{"v":384.739990234375,"d":"384.7"},{"v":631.3428426604781,"d":"631.3"},{"v":7161.719632212609,"d":"7162"},{"v":7161.918009835578,"d":"7162"}]
[null,{"v":393.72998046875,"d":"393.7"},{"v":629.955693378526,"d":"630.0"},{"v":6982.818899129864,"d":"6983"},{"v":6983.01432837498,"d":"6983"}]
[null,{"v":402.7200012207031,"d":"402.7"},{"v":628.5333325721073,"d":"628.5"},{"v":6811.52413479994,"d":"6812"},{"v":6811.715924619013,"d":"6812"}]
[null,{"v":411.7099914550781,"d":"411.7"},{"v":627.0755303263036,"d":"627.1"},{"v":6647.333989624538,"d":"6647"},{"v":6647.52318275067,"d":"6648"}]
[null,{"v":420.6999816894531,"d":"420.7"},{"v":625.5820340703715,"d":"625.6"},{"v":6489.790708473725,"d":"6490"},{"v":6489.977450658705,"d":"6490"}]
[null,{"v":429.69000244140625,"d":"429.7"},{"v":624.0525822801121,"d":"624.1"},{"v":6338.474742156424,"d":"6338"},{"v":6338.658414801971,"d":"6339"}]
[null,{"v":438.67999267578125,"d":"438.7"},{"v":622.4869203497325,"d":"622.5"},{"v":6193.000100425915,"d":"6193"},{"v":6193.18161788113,"d":"6193"}]
[null,{"v":447.66998291015625,"d":"447.7"},{"v":620.8847691804858,"d":"620.9"},{"v":6053.012442947093,"d":"6053"},{"v":6053.191929565282,"d":"6053"}]
[null,{"v":456.6600036621094,"d":"456.7"},{"v":619.2458399245252,"d":"619.2"},{"v":5918.185230484794,"d":"5918"},{"v":5918.362129496482,"d":"5918"}]
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