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{"sheet":"Profiel","index":0,"n_rows":23,"n_cols":28,"rows_kept":23,"cut":false,"hidden":false,"merged":[[12,23,12,25],[5,1,5,3]]}
[]
[null,null,"Project:","Programmeren voor constructeurs",null,null,null,null,"Versie:","1.00"]
[null,null,"Onderdeel:","Gestapelde profielen"]
[null,null,"Datum:","2020-02-19",null,null,null,null,"Klik op logo Vullings Advies"]
[]
[null,"Voor alleen de dikte en breedte in"]
["Nr","Dikte","Breedte","Breedte","Splitsen",null,"Omtrek","Oppervlak","z","I","Profielnaam:  ","Onbekend"]
[null,"[mm]","Onder [mm]","Boven  [mm]","Afstand [mm]",null,"[mm]","[mm2]","[mm]","[mm4]"]
[1,9,160,160,null,null,338,1440,4.5,9720,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,160]
[2,152,18,18,null,null,340,2736,76,5267712,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6]
[3,9,160,160,null,null,338,1440,4.5,9720,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,160]
[4,50,45,50,null,null,195.12492197250393,2375,25.438596491228068,494334.79532163742,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0]
[5,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,0]
[6,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,0]
[7,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,0]
[8,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,0]
[9,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,0]
[10,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,0]
[11,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,0]
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[]
[null,null,"Project:",{"$f":"Project","v":"Programmeren voor constructeurs"},null,null,"Versie:",{"$f":"Versie","v":"1.00"}]
[null,null,"Onderdeel:",{"$f":"Onderdeel","v":"Gestapelde profielen"}]
[null,null,"Datum:",{"$f":"Datum","v":"2020-02-19"},null,null,"Klik op logo Vullings Advies om invoer te wissen"]
[]
[null,"Voor alleen de dikte en breedte in",null,null,null,null,null,null,null,"ok = onderkant profiel (lijn BB, zie figuur)"]
["Nr","Dikte (h)","Breedte (b)","Breedte (a)","Oi","Ai","zi","Ii",null,"yok","zi tov ok","z-zi","zi x Ai","(z-zi)2 x Ai","Ii","O-b"]
[null,null,"Onder [mm]","Boven  [mm]","[mm]","[mm2]","[mm]","[mm4]",null,"[mm]","[mm]","[mm]","[mm3]","[mm4]","[mm4]","[mm]"]
[1,9,160,160,{"$f":"IF(ISBLANK(B9),\"\",2*SQRT(B9^2+((C9-D9)/2)^2)+C9+D9)","v":338},{"$f":"IF(ISBLANK(B9),\"\",(B9*(C9+D9))/2)","v":1440},{"$f":"IF(ISBLANK(B9),\"\",(B9*(2*D9+C9))/(3*(C9+D9)))","v":4.5},{"$f":"IF(ISBLANK(B9),\"\",(B9^3*(D9^2+4*D9*C9+C9^2))/(36*(D9+C9)))","v":9720},null,{"$f":"IF(ISBLANK(B9),\"\",0)","v":0},{"$f":"IF(ISBLANK(B9),\"\",G9+J9)","v":4.5},{"$f":"IF(ISBLANK(B9),\"\",$Q$24-K9)","v":103.6992837299595},{"$f":"IF(ISBLANK(B9),\"\",F9*K9)","v":6480},{"$f":"IF(ISBLANK(B9),\"\",L9^2*F9)","v":15485099.682393566},{"$f":"IF(ISBLANK(B9),\"\",H9+N9)","v":15494819.682393566},{"$f":"IF(ISBLANK(B9),\"\",0)","v":0}]
[2,152,6,6,{"$f":"IF(ISBLANK(B10),\"\",2*SQRT(B10^2+((C10-D10)/2)^2)+C10+D10)","v":316},{"$f":"IF(ISBLANK(B10),\"\",(B10*(C10+D10))/2)","v":912},{"$f":"IF(ISBLANK(B10),\"\",(B10*(2*D10+C10))/(3*(C10+D10)))","v":76},{"$f":"IF(ISBLANK(B10),\"\",(B10^3*(D10^2+4*D10*C10+C10^2))/(36*(D10+C10)))","v":1755904},null,{"$f":"IF(ISBLANK(B10),\"\",J9+B9)","v":9},{"$f":"IF(ISBLANK(B10),\"\",G10+J10)","v":85},23.199283729959504,{"$f":"IF(ISBLANK(B10),\"\",F10*K10)","v":77520},{"$f":"IF(ISBLANK(B10),\"\",L10^2*F10)","v":490844.57021184528},{"$f":"IF(ISBLANK(B10),\"\",H10+N10)","v":2246748.5702118455},{"$f":"IF(ISBLANK(B10),\"\",MIN(C10,D9))","v":6}]
[3,9,160,160,338,1440,4.5,9720,null,{"$f":"IF(ISBLANK(B11),\"\",J10+B10)","v":161},{"$f":"IF(ISBLANK(B11),\"\",G11+J11)","v":165.5},-57.300716270040496,238320,4728055.8024859447,4737775.8024859447,{"$f":"IF(ISBLANK(B11),\"\",MIN(C11,D10))","v":6}]
[4,25,50,45,145.24937810560445,1187.5,12.280701754385966,61791.849415204677,null,{"$f":"IF(ISBLANK(B12),\"\",J11+B11)","v":170},{"$f":"IF(ISBLANK(B12),\"\",G12+J12)","v":182.28070175438597},-74.081418024426469,216458.33333333334,6517067.0896054106,6578858.9390206151,{"$f":"IF(ISBLANK(B12),\"\",MIN(C12,D11))","v":50}]
[5,null,null,null,"","","","",null,{"$f":"IF(ISBLANK(B13),\"\",J12+B12)","v":""},"","","","","",""]
[6,null,null,null,"","","","",null,"","","","","","",""]
[7,null,null,null,"","","","",null,"","","","","","","",null,null,"Samenvatting profiel",null,null,null,null,"Toelichting"]
[8,null,null,null,"","","","",null,"","","","","","","",null,null,"hprof","=",{"$f":"B24","v":195},"mm",null,"Deze tabel is opgesteld met alleen Excel formules"]
[9,null,null,null,"","","","",null,"","","","","","","",null,null,"bprof","=",{"$f":"C24","v":160},"mm",null,"Daarbij is gebruik gemaakt van bovenstaande formules"]
[10,null,null,null,"","","","",null,"","","","","","","",null,null,"Oprof","=",{"$f":"E24","v":1013.2493781056044},"mm",null,"voor de bepaling van de profiel eigenschappen."]
[11,null,null,null,"","","","",null,"","","","","","","",null,null,"Aprof","=",{"$f":"F24","v":4979.5},"mm2"]
[12,null,null,null,"","","","",null,"","","","","","","",null,null,"Iprof","=",{"$f":"O24","v":29058202.994111974},"mm4"]
[13,null,null,null,"","","","",null,"","","","","","","",null,null,"zpprof","=",{"$f":"Q24","v":108.1992837299595},"mm"]
[14,null,null,null,"","","","",null,"","","","","","",""]
[15,null,null,null,"","","","",null,"","","","","","",""]
[null,{"$f":"SUM(B9:B23)","v":195},{"$f":"MAX(C9:D23)","v":160},null,{"$f":"SUM(E9:E23)-(P24*2)","v":1013.2493781056044},{"$f":"SUM(F9:F23)","v":4979.5},null,null,null,null,null,null,{"$f":"SUM(M9:M23)","v":538778.33333333337},{"$f":"SUM(N9:N23)","v":27221067.144696765},{"$f":"SUM(O9:O23)","v":29058202.994111974},{"$f":"SUM(P9:P23)","v":62},{"$f":"IF(F24<=0,\"0\",M24/F24)","v":108.1992837299595}]
[null,"hprof","bprof",null,"Oprof","Aprof",null,null,null,null,null,null,null,null,"Iprof","O-b","zpprof"]
[]
[null,"Tabel optie 2: gebruik van eigen functies"]
[]
["Tabel optie 2 - let op: de invoer van bovenstaande tabel wordt automatisch overgenomen"]
["Nr","Dikte (h)","Breedte (b)","Breedte (a)","Oi","Ai","zi","Ii"]
[null,null,"Onder [mm]","Boven [mm]","[mm]","[mm2]","[mm]","[mm4]"]
[1,{"$f":"IF(ISBLANK(B9),0,B9)","v":9},{"$f":"IF(ISBLANK(C9),0,C9)","v":160},{"$f":"IF(ISBLANK(D9),0,D9)","v":160},{"$f":"IF(B32=0,\"\",GeomI(B32,C32,D32,\"O\"))","v":338},{"$f":"IF(B32=0,\"\",GeomI(B32,C32,D32,\"A\"))","v":1440},{"$f":"IF(B32=0,\"\",GeomI(B32,C32,D32,\"z\"))","v":4.5},{"$f":"IF(B32=0,\"\",GeomI(B32,C32,D32,\"I\"))","v":9720}]
[2,{"$f":"IF(ISBLANK(B10),0,B10)","v":152},6,6,{"$f":"IF(B33=0,\"\",GeomI(B33,C33,D33,\"O\"))","v":316},{"$f":"IF(B33=0,\"\",GeomI(B33,C33,D33,\"A\"))","v":912},{"$f":"IF(B33=0,\"\",GeomI(B33,C33,D33,\"z\"))","v":76},{"$f":"IF(B33=0,\"\",GeomI(B33,C33,D33,\"I\"))","v":1755904},null,null,null,null,null,null,null,null,null,null,"Samenvatting profiel",null,null,null,null,"Toelichting"]
[3,{"$f":"IF(ISBLANK(B11),0,B11)","v":9},160,160,338,1440,4.5,9720,null,null,null,null,null,null,null,null,null,null,"hprof","=",{"$f":"B47","v":195},"mm",null,"Deze tabel is opgesteld met alleen eigen VBA formules"]
[4,{"$f":"IF(ISBLANK(B12),0,B12)","v":25},50,45,145.24937810560445,1187.5,12.280701754385966,61791.849415204677,null,null,null,null,null,null,null,null,null,null,"bprof","=",{"$f":"C47","v":160},"mm",null,"Daarbij is gebruik gemaakt van bovenstaande formules"]
[5,{"$f":"IF(ISBLANK(B13),0,B13)","v":0},0,0,"","","","",null,null,null,null,null,null,null,null,null,null,"Oprof","=",{"$f":"GeomProf(DikteLijst,BreedteOnderLijst,BreedteBovenLijst,\"O\")","v":1013.2493781056044},"mm",null,"voor de bepaling van de profiel eigenschappen."]
[6,{"$f":"IF(ISBLANK(B14),0,B14)","v":0},0,0,"","","","",null,null,null,null,null,null,null,null,null,null,"Aprof","=",{"$f":"GeomProf(DikteLijst,BreedteOnderLijst,BreedteBovenLijst,\"A\")","v":4979.5},"mm2",null,"Zie VBA module \"Profiel2\""]
[7,{"$f":"IF(ISBLANK(B15),0,B15)","v":0},0,0,"","","","",null,null,null,null,null,null,null,null,null,null,"Iprof","=",{"$f":"GeomProf(DikteLijst,BreedteOnderLijst,BreedteBovenLijst,\"I\")","v":29058202.994111974},"mm4"]
[8,{"$f":"IF(ISBLANK(B16),0,B16)","v":0},0,0,"","","","",null,null,null,null,null,null,null,null,null,null,"zpprof","=",{"$f":"GeomProf(DikteLijst,BreedteOnderLijst,BreedteBovenLijst,\"Z\")","v":108.1992837299595},"mm"]
[9,{"$f":"IF(ISBLANK(B17),0,B17)","v":0},0,0,"","","",""]
[10,{"$f":"IF(ISBLANK(B18),0,B18)","v":0},0,0,"","","","",null,null,null,null,null,null,null,null,null,null,"De eigen formules zijn opgesplitst in formules speciaal voor de eigenschappen van de afzonderlijke"]
[11,{"$f":"IF(ISBLANK(B19),0,B19)","v":0},0,0,"","","","",null,null,null,null,null,null,null,null,null,null,"onderdelen en er zijn aparte formules voor de eigenschappen voor het profiel als geheel."]
[12,{"$f":"IF(ISBLANK(B20),0,B20)","v":0},0,0,"","","","",null,null,null,null,null,null,null,null,null,null,"Beide type eigen functies maken gebruik van gezamenlijke eigen gemaakte functies."]
[13,{"$f":"IF(ISBLANK(B21),0,B21)","v":0},0,0,"","","","",null,null,null,null,null,null,null,null,null,null,"De eigen functies laten zien dat met formules het mogelijk is om de profieleigenschappen direct te bepalen."]
[14,{"$f":"IF(ISBLANK(B22),0,B22)","v":0},0,0,"","","","",null,null,null,null,null,null,null,null,null,null,"Er is maar 1 formule voor nodig. Dit maakt de formuleringen in de cellen een stuk compacter en overzichtelijker."]
[15,{"$f":"IF(ISBLANK(B23),0,B23)","v":0},0,0,"","","","",null,null,null,null,null,null,null,null,null,null,"Ook kunnen deze formules prima worden gecombineerd met Excel formules. Ze kunnen ook in 1 cel"]
[null,{"$f":"SUM(B32:B46)","v":195},{"$f":"MAX(C32:D46)","v":160},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"samen gebruikt worden. Er wordt geen verschil gemaakt tussen Excel formules en eigen formules."]
[null,"hprof","bprof",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Vergelijk de cellen van de twee tabellen en berekeningen met elkaar om het verschil goed te zien."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Het is ook mogelijk om een bibliotheek eigen formules op te stellen."]

{"sheet":"Toelichting","index":2,"n_rows":66,"n_cols":22,"rows_kept":66,"cut":false,"hidden":false,"merged":[[5,1,5,3],[12,21,12,23],[13,29,13,33]]}
[]
[null,null,"Project:",{"$f":"Project","v":"Programmeren voor constructeurs"},null,null,"Versie:",{"$f":"Versie","v":"1.00"}]
[null,null,"Onderdeel:",{"$f":"Onderdeel","v":"Gestapelde profielen"}]
[null,null,"Datum:",{"$f":"Datum","v":"2020-02-19"}]
[]
[]
[null,"Toelichting"]
[]
[]
[null,"Gestapelde profielen",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Gestapelde profielen"]
[null,"In gestapelde profielen worden enkele geometrische profiel eigenschappen bepaald zoals",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Toegepaste formules voor de verschillende berekeningen. Het gaat om de basis vormen: driehoek,"]
[null,"de omtrek, oppervlak, zwaartepunt en kwadratisch oppervlaktemoment (traagheidsmoment).",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"rechthoek en trapezium."]
[null,"Het gewenste profiel is opgebouwd uit een drietal basis vormen die op elkaar worden gestapeld."]
[null,"De basis vormen zijn een rechthoek, driehoek en trapezium. "]
[null,"Van de basis vormen moet de dikte (hoogte) worden ingevoerd, de breedte onder en de breedte boven."]
[null,"De overige gegevens worden automatisch berekend. Het resultaat wordt naast de invoer weergegeven"]
[null,"in een eenvoudige grafische voorstelling van het gestapelde profiel. Alle afzonderlijke onderdelen zijn"]
[null,"weergegeven in een andere kleur. In dit geval kunnen er maixmaal 15 basis vormen op elkaar worden"]
[null,"gestapeld. "]
[]
[null,"In dit Excel document zijn er twee verschillende manieren gebruikt om de berekeningen uit te voeren. "]
[null,"In werkblad \"Profiel\" wordt alles met behulp van VBA gedaan, inclusief de invoer met behulp van een invoerformulier."]
[null,"In werkblad \"Profiel2\" wordt alles met behulp van Excel en VBA in de vorm van eigen functies."]
[]
[null,"Werkblad \"Profiel\" - tab \"Profiel\"",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Werkblad \"Profiel2\""]
[null,"Door op het logo te klikken wordt een VBa menu gestart waarin de invoerwaarden van het werkblad wordt gelezen",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Op werkblad \"Profiel2\" zijn twee gelijke tabellen opgenomen met profiel gegevens. De eerste tabel"]
[null,"en worden automatisch alle profielgrootheden berekend. De invoerwaarden kunnen in het formulier verder worden",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"is een tabel zoals die normaal in Excel worden uitgewerkt. Met Excel functies worden dezelfde geometrische"]
[null,"bewerkt. Dit kan ook samen worden gebruikt door de invoer te wijzigen in het werkblad zelf. De berekeningen worden",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"eigenschappen berekend."]
[null,"gedaan op het moment dat op de knop \"Lees\" wordt geklikt. De informatie op het werkblad \"Profiel\" wordt opnieuw",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"In de tweede tabel zijn dezelfde berkeningen uitgewerkt, maar nu met eigen functies (zie VBA module \"Mod_Profiel2\")"]
[null,"gelezen waarbij alle gegevens in het formulier worden overscherven. ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"er kan een vergelijk worden gemaakt tussen de 3 verschillende manieren om berekeningen uit te voeren."]
[null,"Als er wijzgingen in de invoer worden aangebracht via het invoerformulier, kunnen deze gegevens terug op het werkblad",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"1) Gebruik van alleen maar VBA en formulieren."]
[null,"worden geplaatst door op de knop \"Schrijf\" te klikken. Dan worden alle invoerwaarden op het werkblad overschreven.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2) Gebruik van eigen functies en Excel functies samen."]
[null,"Onderdeel van het uitvoeren van de berekeningen is het genereren van een tekening van het profiel. Dit wordt automatisch",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"3) Gebruik van alleen Excel functies."]
[null,"gedaan op het moment dat het profiel wordt berekend. Een herberekening wordt altijd uitgevoerd zodra er in het formulier een"]
[null,"wijziging in de invoerdate wordt aangebracht.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Een vergelijk zal de voor iedereen de voor- en nadelen van de verschillende methoden zichtbaar maken."]
[null,"Wijzigingen kunnen worden aangebracht door:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Enkele verschillen zijn ook weergegeven op werkblad \"Profiel2\" zelf."]
[null,"1)  Voer een nieuwe basis vorm toe door een nieuw \"profiel onderdeel\" toe te voegen met de knop \"Toevoegen\"."]
[null,"2)  Selecteer een profiel onderdeel (basis vorm) uit de lijst en wijzig deze met de knop \"Vervangen\"."]
[null,"3)  \"Reset\" verwijderd alle gegevens uit het formulier en kan een geheel nieuw profiel worden samengesteld."]
[null,"4)  Met de pijl knoppen kan het geselecteerde onderdeel (basis vorm) worden gewijzigd van locatie."]
[null,"5)  Met de knop \"Archiveer\" wordt het profiel opgeslagen op het werkblad \"Archief\". Tevens wordt een"]
[null,"     grafische preview (JPG) van het profiel opgeslagen op de hardeschijf."]
[]
[null,"Werkblad \"Profiel\" - tab \"Archief\""]
[null,"Als in voorgaande tab \"Profiel\" op de knop \"Archief\" wordt geklikt wordt het profiel opgeslagen op werkblad \"Archief\"."]
[null,"Het nieuwe profiel wordt automatisch aan de lijst toegevoegd. Er wordt ook een preview gemaakt en opgeslagen op de"]
[null,"hardeschijf. De betreffende directory is aangegeven op het formulier en kan naar wens worden gewijzigd. Hou er rekening mee"]
[null,"dat de verwijzingen naar de betreffende previews ook in de archieflijst worden opgeslagen (de laatste kolom). Indien de directorie"]
[null,"wordt gewijzigd op het formulier wordt dit niet gedaan in de archieflijst. De \"oude\" previews blijven op de \"oude\" locatie op de"]
[null,"hardeschijf staan."]
[]
[null,"Maak een selectie van het gewenste profiel in de lijst. De preview van het geselecteerde profiel wordt zichtbaar."]
[null,"Klik op de knop \"formulier\" en de gegevens van de geselecteerde profiel worden opgenomen in het formulier \"Profiel\"."]
[null,"De oude gegevens worden allen overschreven. Ook wordt er een nieuwe berekening uitgevoerd. De gegevens op het werkblad"]
[null,"worden niet aangepast."]
[null,"Klik op de knop \"Formulier & werkblad\" gebeurd er hetzelfde als bij \"formulier\", maar de gegevens worden nu ook in het werkblad"]
[null,"verwerkt. Alle oude gegevens worden ook hier overschreven."]
[]
[]
[]
[]
[]
[null,"Let op"]
[null,"Als er een profiel uit het archief wordt geselecteerd wordt de preview ook op het werkblad \"Profiel\" weergegeven."]
[null,"Dit kan ongedaan worden gemaakt door het formulier opnieuw te openen en te sluiten."]
[null,"Een mogelijke optimalisatie is het herstel van dit ongemak."]

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["Einde tabel - Meer profielen in het archief, dan constante  \"MaxProfInArchief\" in VBA module \"Algemeen\" aanpassen"]

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