{"text_format":"1","workbook":"xlsx","n_sheets":8,"sheets":["曲管組合せ表","配管設計1","VP曲管データ","DCIP曲管データ","Sheet1","配管設計2","Sheet3","Sheet2"],"not_rendered":{"charts":3,"images":3,"macros":1,"external_links":0,"defined_names":3,"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":"曲管組合せ表","index":0,"n_rows":26,"n_cols":12,"rows_kept":26,"cut":false,"hidden":false,"merged":[[8,1,8,5]]}
[]
[]
[]
[]
[]
[]
[null,"曲管組合せ表（ダクタイル管（T・K形管）、VP、VM、VU管に適用"]
[]
[null,"適用範囲",null,null,null,null,"本数","5ﾟ5/8","11ﾟ1/4","22ﾟ1/2","45ﾟ ","90ﾟ"]
[null,"°","’",null,"°","’"]
[1,"Henkaku=Cells(32,",0,"～",8,30,1,"〇"]
[2,8,30,"～",14,0,1,null,"〇"]
[3,14,0,"～",19,30,2,"〇","〇"]
[4,19,30,"～",25,30,1,null,null,"〇"]
[5,25,30,"～",31,0,2,"〇",null,"〇"]
[6,31,0,"～",36,30,2,null,"〇","〇"]
[7,36,30,"～",42,0,3,"〇","〇","〇"]
[8,42,0,"～",48,0,1,null,null,null,"〇"]
[9,48,0,"～",53,30,2,"〇",null,null,"〇"]
[10,53,30,"～",59,0,2,null,"〇",null,"〇"]
[11,59,0,"～",64,30,3,"〇","〇",null,"〇"]
[12,64,30,"～",70,30,2,null,null,"〇","〇"]
[13,70,30,"～",76,0,3,"〇",null,"〇","〇"]
[14,76,0,"～",81,30,3,null,"〇","〇","〇"]
[15,81,30,"～",87,0,4,"〇","〇","〇","〇"]
[16,87,0,"～",93,0,1,null,null,null,null,"〇"]

{"sheet":"配管設計1","index":1,"n_rows":83,"n_cols":18,"rows_kept":83,"cut":false,"hidden":false,"merged":[[29,4,29,5],[30,4,30,5],[32,10,32,13],[32,8,34,8],[32,9,34,9],[33,10,34,10],[33,12,34,12]]}
[]
[null,"VP管、DCIP管の組合せ曲管の寸法計算"]
[]
[null,"平面偏角または縦断偏角の地点で曲管を2本以上使用した場合の各部寸法を計算する。"]
[null,"各部の寸法は図のとおりとする。"]
[null,"曲管の配置は上流側を受口としている。",null,null,null,"データ入力のセルは",null,null,"の部分です。",null,null,"は自動計算の結果です。"]
[null,"曲管の組合せ本数が2本の場合は、θ1、θ2までの入力、3本の場合はθ1～θ3までの入力、4本の場合はθ1～θ4までの入力"]
[null,"となる。"]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,"β1=θ1+θ2"]
[]
[null,null,null,null,null,null,null,null,null,null,"γ=180-β1"]
[]
[null,null,null,null,null,null,null,null,null,null,"α=180-（γ+θ1）"]
[null,null,null,null,null,null,null,null,null,null,"　 =180-（180-β1+θ1）"]
[null,null,null,null,null,null,null,null,null,null,"　 =β1-θ1"]
[null,null,null,null,null,null,null,null,null,null,"   =θ1+θ2-θ1"]
[null,null,null,null,null,null,null,null,null,null,"   =θ2"]
[]
[]
[null,null,null,null,null,null,null,null,null,null,"β2=β1+θ3"]
[]
[null,null,null,null,null,null,null,null,null,null,"β3=β2+θ4"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"665+1607.9","v":2272.9}]
[]
[]
[]
[null,null,"偏角",84.375,"(deg)","管種","DCIP",null,"VP",null,null,null,null,null,null,"DCIP"]
[null,null,"口径",300,"曲管の組合せ方法",null,"自動",null,"口径","番号","曲管の組合せ",null,null,null,"合計"]
[null,null,"θ1","θ2","θ3","θ4",null,null,null,null,"角度","La","角度","Lb","La+Lb"]
[null,null,"(deg)","(deg)","(deg)","(deg)",null,null,null,null,null,"（mm)",null,"(mm)","(mm)"]
[null,null,45,22.5,11.25,5.625,null,null,"φ50",1,"45°",255,"22°1/2",190,{"$f":"L36+N36","v":445}]
[null,null,"β1","β2","β3",null,null,null,null,2,"45°",255,"11°1/4",175,{"$f":"L37+N37","v":430}]
[null,null,"(deg)","(deg)","(deg)",null,null,null,null,3,"45°",255,"5°5/8",165,420]
[null,null,{"$f":"C36+D36","v":67.5},{"$f":"C39+E36","v":78.75},{"$f":"D39+F36","v":84.375},null,null,null,null,4,"22°1/2",223,"11°1/4",175,398]
[null,null,"L1","L2","L3",null,null,null,null,5,"22°1/2",223,"5°5/8",165,388]
[null,null,"(mm)","(mm)","(mm)",null,null,null,null,6,"11°1/4",208,"5°5/8",165,373]
[null,null,815,870,1082,null,null,null,"φ75",1,"45°",195,"22°1/2",225,420]
[null,null,"A1","A2","A3",null,null,null,null,2,"45°",195,"11°1/4",200,395]
[null,null,"(mm)","(mm)","(mm)",null,null,null,null,3,"45°",195,"5°5/8",185,380]
[null,null,337.57940673828125,297.12960815429687,245.15188598632812,null,null,null,null,4,"22°1/2",141,"11°1/4",200,341]
[null,null,"B1","B2","B3",null,null,null,null,5,"22°1/2",141,"5°5/8",185,326]
[null,null,"(mm)","(mm)","(mm)",null,null,null,null,6,"11°1/4",116,"5°5/8",185,301]
[null,null,623.77752685546875,1407.1082763671875,2453.093994140625,null,null,null,"φ100",1,"45°",212,"22°1/2",250,462]
[null,null,null,null,null,null,null,null,null,2,"45°",212,"11°1/4",220,432]
[null,null,null,null,null,null,null,null,null,3,"45°",212,"5°5/8",205,417]
[null,null,null,null,null,null,null,null,null,4,"22°1/2",148,"11°1/4",220,368]
[null,null,null,null,null,null,null,null,null,5,"22°1/2",148,"5°5/8",205,353]
[null,null,null,null,null,null,null,null,null,6,"11°1/4",118,"5°5/8",205,323]
[null,null,null,null,null,null,null,null,"φ125",1,"45°",260,"22°1/2",235,495]
[null,null,null,null,null,null,null,null,null,2,"45°",260,"11°1/4",245,505]
[null,null,null,null,null,null,null,null,null,3,"45°",260,"5°5/8",225,485]
[null,null,null,null,null,null,null,null,null,4,"22°1/2",174,"11°1/4",245,419]
[null,null,null,null,null,null,null,null,null,5,"22°1/2",174,"5°5/8",225,399]
[null,null,null,null,null,null,null,null,null,6,"11°1/4",133,"5°5/8",225,358]
[null,null,null,null,null,null,null,null,"φ150",1,"45°",299,"22°1/2",315,614]
[null,null,null,null,null,null,null,null,null,2,"45°",299,"11°1/4",270,569]
[null,null,null,null,null,null,null,null,null,3,"45°",299,"5°5/8",245,544]
[null,null,null,null,null,null,null,null,null,4,"22°1/2",203,"11°1/4",270,473]
[null,null,null,null,null,null,null,null,null,5,"22°1/2",203,"5°5/8",245,448]
[null,null,null,null,null,null,null,null,null,6,"11°1/4",157,"5°5/8",245,402]
[null,null,null,null,null,null,null,null,"φ200",1,"45°",366,"22°1/2",380,746]
[null,null,null,null,null,null,null,null,null,2,"45°",366,"11°1/4",320,686]
[null,null,null,null,null,null,null,null,null,3,"45°",366,"5°5/8",290,656]
[null,null,null,null,null,null,null,null,null,4,"22°1/2",296,"11°1/4",320,616]
[null,null,null,null,null,null,null,null,null,5,"22°1/2",296,"5°5/8",290,586]
[null,null,null,null,null,null,null,null,null,6,"11°1/4",236,"5°5/8",290,526]
[null,null,null,null,null,null,null,null,"φ250",1,"45°",425,"22°1/2",430,855]
[null,null,null,null,null,null,null,null,null,2,"45°",425,"11°1/4",360,785]
[null,null,null,null,null,null,null,null,null,3,"45°",425,"5°5/8",325,750]
[null,null,null,null,null,null,null,null,null,4,"22°1/2",345,"11°1/4",360,705]
[null,null,null,null,null,null,null,null,null,5,"22°1/2",345,"5°5/8",325,670]
[null,null,null,null,null,null,null,null,null,6,"11°1/4",275,"5°5/8",325,600]
[null,null,null,null,null,null,null,null,"φ300",1,"45°",505,"22°1/2",480,985]
[null,null,null,null,null,null,null,null,null,2,"45°",505,"11°1/4",395,900]
[null,null,null,null,null,null,null,null,null,3,"45°",505,"5°5/8",350,855]
[null,null,null,null,null,null,null,null,null,4,"22°1/2",405,"11°1/4",395,800]
[null,null,null,null,null,null,null,null,null,5,"22°1/2",405,"5°5/8",350,755]
[null,null,null,null,null,null,null,null,null,6,"11°1/4",315,"5°5/8",350,665]

{"sheet":"VP曲管データ","index":2,"n_rows":96,"n_cols":15,"rows_kept":96,"cut":false,"hidden":false,"merged":[]}
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[null,null,"”クボタビニルパイプ設計施工ハンドブック<上水道編>改訂3版　昭和59年10月30日　第16刷”により作成"]
[]
[null,"Dat(I,K,1)","Dat(I,K,2)","Dat(I,K,3)","Dat(I,K,4)","Dat(I,K,5)","Dat(I,K,6)","Dat(I,K,7)","Dat(I,K,8)","Dat(I,K,9)","Dat(I,K,10)","Dat(I,K,11)","Dat(I,K,12)","Dat(I,K,13)","Dat(I,K,14)"]
[1,"90°"]
[2,"口径","外径","管厚","受口長","質量","管心長","Z1","Z2","F1","F2","R","TL","A=F2-TL","B=F1-受口"]
[3,"(mm)","(mm)","(mm)",null,"(kg)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)"]
[4,13,{"$f":"13+2.2*2","v":17.399999999999999}]
[5,16,{"$f":"16+2.7*2","v":21.4}]
[6,20,{"$f":"20+2.7*2","v":25.4}]
[7,25,{"$f":"25+2*3.1","v":31.2}]
[8,30,{"$f":"31+2*3.1","v":37.200000000000003}]
[9,40,{"$f":"40+2*3.6","v":47.2}]
[10,50,{"$f":"51+2*4.1","v":59.2},4.0999999999999996,null,null,{"$f":"(J16-K16)+(I16-K16)+PI()*2*K16/4","v":409.94686130641793},335,200,343,310,150,{"$f":"L16*TAN(90/2*PI()/180)","v":149.99999999999997},{"$f":"I16-M16","v":50.000000000000028},{"$f":"J16-E16","v":343}]
[11,65,{"$f":"67+2*4.1","v":75.2}]
[12,75,{"$f":"77+2*5.5","v":88},5.5,{"$f":"285-165","v":120},null,{"$f":"(J18-K18)+(I18-K18)+PI()*2*K18/4","v":583.58843888783099},450,305,461,425,250,{"$f":"L18*TAN(90/2*PI()/180)","v":249.99999999999997},{"$f":"I18-M18","v":55.000000000000028},{"$f":"J18-E18","v":341}]
[13,100,{"$f":"100+2*6.6","v":113.2},6.6,{"$f":"305-175","v":130},null,667.69020012949932,505,360,518,490,300,299.99999999999994,60.000000000000057,388]
[14,125,{"$f":"125+2*7","v":139},7,{"$f":"335-200","v":135},null,839.33177771091243,615,470,629,605,400,399.99999999999994,70.000000000000057,494]
[15,150,{"$f":"146+2*8.9","v":163.80000000000001},8.9,{"$f":"375-230","v":145},null,948.28752058655527,690,530,708,675,450,449.99999999999994,80.000000000000057,563]
[16,200,{"$f":"194+2*10.3","v":214.6},10.3,{"$f":"415-245","v":170},null,1206.884841043611,865,690,886,860,600,599.99999999999989,90.000000000000114,716]
[17,250,{"$f":"240+2*12.7","v":265.39999999999998},12.7,{"$f":"475-290","v":185},null,1400.0883635269477,995,805,1020,990,700,699.99999999999989,105.00000000000011,835]
[18,300,{"$f":"286+2*15.1","v":316.2},15.1,{"$f":"535-335","v":200},null,1667.12373908208,1175,960,1205,1160,850,849.99999999999989,110.00000000000011,1005]
[1,"45°"]
[2,"口径","外径","管厚","受口長","質量","管心長","Z1","Z2","F1","F2","R","TL","A=F2-TL","B=F1-受口"]
[3,"(mm)","(mm)","(mm)",null,"(kg)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)"]
[4,13,{"$f":"13+2.2*2","v":17.399999999999999}]
[5,16,{"$f":"16+2.7*2","v":21.4}]
[6,20,{"$f":"20+2.7*2","v":25.4}]
[7,25,{"$f":"25+2*3.1","v":31.2}]
[8,30,{"$f":"31+2*3.1","v":37.200000000000003}]
[9,40,{"$f":"40+2*3.6","v":47.2}]
[10,50,{"$f":"51+2*4.1","v":59.2},4.0999999999999996,110,{"$f":"(I34-J34)+(H34-J34)+PI()*2*J34/4","v":247.55306333269863},{"$f":"(J34-K34)+(I34-K34)+PI()*2*K34/4","v":270.57519189487726},247,110,255,220,150,{"$f":"L34*TAN(45/2*PI()/180)","v":62.132034355964258},{"$f":"I34-M34","v":47.867965644035742},{"$f":"J34-E34","v":145}]
[11,65,{"$f":"67+2*4.1","v":75.2}]
[12,75,{"$f":"77+2*5.5","v":88},5.5,{"$f":"285-165","v":120},{"$f":"(I36-J36)+(H36-J36)+PI()*2*J36/4","v":328.80084294039244},354.82297150257102,304,160,315,280,250,{"$f":"L36*TAN(45/2*PI()/180)","v":103.55339059327376},{"$f":"I36-M36","v":56.446609406726239},{"$f":"J36-E36","v":195}]
[13,100,{"$f":"100+2*6.6","v":113.2},6.6,{"$f":"305-175","v":130},367.21234376385462,391.80084294039244,329,185,342,315,300,124.26406871192852,60.735931288071484,212]
[14,125,{"$f":"125+2*7","v":139},7,{"$f":"335-200","v":135},446.46454908398414,471.19464091411169,381,235,395,370,400,165.68542494923801,69.314575050761988,260]
[15,150,{"$f":"146+2*8.9","v":163.80000000000001},8.9,{"$f":"375-230","v":145},500.43356909693409,533.02649398590756,426,265,444,410,450,186.39610306789277,78.603896932107233,299]
[16,200,{"$f":"194+2*10.3","v":214.6},10.3,{"$f":"415-245","v":170},624.94683116206454,657.10612666539726,515,340,536,510,600,248.52813742385703,91.471862576142968,366]
[17,250,{"$f":"240+2*12.7","v":265.39999999999998},12.7,{"$f":"475-290","v":185},718.18575934488695,756.06186954103998,585,395,610,580,700,289.94949366116651,105.05050633883349,425]
[18,300,{"$f":"286+2*15.1","v":316.2},15.1,200,832.41141039040212,881.72557568463162,675,460,705,660,850,352.08152801713078,107.91847198286922,{"$f":"J42-E42","v":505}]
[1,"22°1/2"]
[2,"口径","外径","管厚","受口長","質量","管心長","Z1","Z2","F1","F2","R","TL","A=F2-TL","B=F1-受口"]
[3,"(mm)",215.38725280761719,308.0947265625,209.68675231933594,"(kg)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)"]
[4,13,{"$f":"13+2.2*2","v":17.399999999999999}]
[5,16,{"$f":"16+2.7*2","v":21.4}]
[6,20,753.880126953125,1459.011962890625,2098.20751953125]
[7,25,{"$f":"25+2*3.1","v":31.2}]
[8,30,{"$f":"31+2*3.1","v":37.200000000000003}]
[9,40,{"$f":"40+2*3.6","v":47.2}]
[10,50,{"$f":"51+2*4.1","v":59.2},4.0999999999999996,null,null,{"$f":"(J52-K52)+(I52-K52)+PI()*2*K52/4","v":221.45130209103036},215,80,223,190,150,{"$f":"L52*TAN(22.5/2*PI()/180)","v":29.8368551069487},{"$f":"I52-M52","v":50.163144893051296},{"$f":"J52-E52","v":223}]
[11,65,{"$f":"67+2*4.1","v":75.2}]
[12,75,{"$f":"77+2*5.5","v":88},5.5,{"$f":"285-165","v":120},null,{"$f":"(J54-K54)+(I54-K54)+PI()*2*K54/4","v":269.42917352885172},250,105,261,225,250,{"$f":"L54*TAN(22.5/2*PI()/180)","v":49.728091844914502},{"$f":"I54-M54","v":55.271908155085498},{"$f":"J54-E54","v":141}]
[13,100,{"$f":"100+2*6.6","v":113.2},6.6,{"$f":"305-175","v":130},null,290.69908169872411,265,120,278,250,300,59.673710213897401,60.326289786102599,148]
[14,125,{"$f":"125+2*7","v":139},7,{"$f":"335-200","v":135},null,358.13713679680069,295,150,309,235,400,79.564946951863206,70.435053048136794,174]
[15,150,{"$f":"146+2*8.9","v":163.80000000000001},8.9,{"$f":"375-230","v":145},null,382.80084294039244,330,170,348,315,450,89.510565320846098,80.489434679153902,203]
[16,200,{"$f":"194+2*10.3","v":214.6},10.3,{"$f":"415-245","v":170},null,512.90260418206071,445,210,466,380,600,119.3474204277948,90.652579572205198,296]
[17,250,{"$f":"240+2*12.7","v":265.39999999999998},12.7,{"$f":"475-290","v":185},null,590.4424205218055,505,245,530,430,700,139.2386571657606,105.7613428342394,345]
[18,300,{"$f":"286+2*15.1","v":316.2},15.1,{"$f":"535-335","v":200},null,678.98223686155029,575,280,605,480,850,169.07551227270932,110.92448772729068,405]
[1,"11°1/4",null,null,null,null,null,null,null,null,null,null,null,"A","B"]
[2,"口径","外径","管厚","受口長","質量","管心長","Z1","Z2","F1","F2","R","TL","A=F2-TL","B=F1-受口"]
[3,"(mm)","(mm)","(mm)",null,"(kg)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)","(mm)"]
[4,13,{"$f":"13+2.2*2","v":17.399999999999999}]
[5,16,{"$f":"16+2.7*2","v":21.4}]
[6,20,{"$f":"20+2.7*2","v":25.4}]
[7,25,{"$f":"25+2*3.1","v":31.2}]
[8,30,{"$f":"31+2*3.1","v":37.200000000000003}]
[9,40,{"$f":"40+2*3.6","v":47.2}]
[10,50,{"$f":"51+2*4.1","v":59.2},4.0999999999999996,null,null,{"$f":"(J70-K70)+(I70-K70)+PI()*2*K70/4","v":197.88935718910687},200,65,208,175,150,{"$f":"L70*TAN(11.25/2*PI()/180)","v":14.773710503574637},{"$f":"I70-M70","v":50.226289496425366},{"$f":"J70-E70","v":208}]
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[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,"β1=θ1+θ2"]
[null,null,null,null,null,null,null,null,null,null,null,"β2=θ1+θ2+θ3"]
[null,null,null,null,null,null,null,null,null,null,null,"β3=θ1+θ2+θ3+θ4"]
[]
[null,null,null,null,null,null,null,null,null,null,null,"α1=180-β1"]
[null,null,null,null,null,null,null,null,null,null,null,"α2=180-β2"]
[null,null,null,null,null,null,null,null,null,null,null,"α3=180-β3"]
[null,"口径",300,"外径",null,"FH",20]
[null,"θS","θ1","θ2","θ3","θ4","θE",null,null,null,null,"θE=θS+α3"]
[null,"（deg)","（deg)","（deg)","（deg)","（deg)","（mm)"]
[null,22.5,45,22.5,11.25,5.625]
[null,"β1","β2","β3",null,null,null,null,null,null,null,"KL0＝L1a+A1+A2+A3",null,null,"γ1=θ1-θS"]
[null,"（deg)","（deg)","（deg)"]
[null,{"$f":"C42+D42","v":67.5},{"$f":"B45+E42","v":78.75},{"$f":"C45+F42","v":84.375},null,null,null,null,null,null,null,"KLS=L1a*Cos(θS)",null,null,"γ2=θ1+θ2-θS"]
[null,"L1","L2","L3","A1","A2","A3","B1","B2","B3",null,"HS=L1a*Sin(θS)"]
[null,"（mm)","（mm)","（mm)","（mm)","（mm)","（mm)","（mm)","（mm)","（mm)",null,null,null,null,"γ3=θ1+θ2+θ3-θS"]
[null,null,null,null,null,null,null,null,null,null,null,"KL1=L1*Cos(γ1)"]
[null,"45°",null,"22°1/2",null,"11°1/4",null,"5°5/8",null,null,null,"KL2=L2*Cos(γ2)",null,null,"γ4=θ1+θ2+θ3+θ4-θS"]
[null,"La","Lb","La","Lb","La","Lb","La","Lb",null,null,"KL3=L3*Cos(γ3)"]
[null,"（mm)","（mm)","（mm)","（mm)","（mm)","（mm)","（mm)","（mm)"]
[null,null,null,null,null,null,null,null,null,null,null,"H1=L1*Sin(γ1)"]
[null,"H0","HS","H1","H2","H3","HE",null,null,null,null,"H2=L2*Sin(γ2)"]
[null,"（mm)","（mm)","（mm)","（mm)","（mm)","（mm)",null,null,null,null,"H3=L3*Sin(γ3)"]
[]
[null,"KL0","KLS","KL1","KL2","KL3","KLE"]
[null,"（mm)","（mm)","（mm)","（mm)","（mm)","（mm)"]
[]
[null,"ELS","EL1","EL2","EL3","EL4","ELE"]
[null,"（m)","（m)","（m)","（m)","（m)","（m)"]

{"sheet":"配管設計2","index":5,"n_rows":490,"n_cols":36,"rows_kept":490,"cut":false,"hidden":false,"merged":[[50,12,50,13],[50,14,50,15],[50,16,50,17],[50,18,50,19],[50,20,50,21],[49,12,49,13],[49,14,49,15],[49,16,49,17],[49,18,49,19],[49,20,49,21],[47,12,47,21],[48,12,48,13],[48,14,48,15],[48,16,48,17],[48,18,48,19],[48,20,48,21],[40,22,40,23],[41,22,41,23],[42,22,42,23],[39,2,39,3],[39,4,39,5],[41,10,41,11],[40,2,40,3],[40,4,40,5],[40,6,40,7],[40,8,40,9],[40,10,40,11],[42,14,42,15],[42,16,42,17],[42,18,42,19],[42,20,42,21],[41,20,41,21],[48,2,48,3],[48,4,48,5],[48,6,48,7],[48,8,48,9],[48,10,48,11],[49,2,49,3],[49,4,49,5],[49,6,49,7],[49,8,49,9],[49,10,49,11],[44,20,44,21],[45,2,45,3],[42,4,42,5],[42,6,42,7],[42,8,42,9],[42,10,42,11],[42,12,42,13],[44,2,44,3],[44,4,44,5],[44,6,44,7],[44,8,44,9],[44,10,44,11],[44,12,44,13],[42,2,42,3],[45,4,45,5],[45,6,45,7],[45,12,45,13],[46,16,46,17],[46,18,46,19],[45,14,45,15],[45,16,45,17],[44,14,44,15],[44,16,44,17],[44,18,44,19],[47,2,47,11],[45,20,45,21],[46,20,46,21],[45,18,45,19],[46,2,46,3],[46,4,46,5],[46,6,46,7],[46,8,46,9],[46,10,46,11],[46,12,46,13],[46,14,46,15],[45,8,45,9],[45,10,45,11],[50,2,50,3],[50,4,50,5],[50,6,50,7],[50,8,50,9],[50,10,50,11],[40,20,40,21],[43,2,43,11],[43,12,43,21],[41,12,41,13],[41,14,41,15],[41,16,41,17],[40,14,40,15],[41,18,41,19],[40,18,40,19],[40,16,40,17],[41,2,41,3],[41,4,41,5],[41,6,41,7],[41,8,41,9],[40,12,40,13]]}
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[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"組合せ曲管の個数が2以上の場合には、配管設計1"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"にて偏角点（IP)の測点を決定してから、該当する曲管"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"の諸元を入力し、実行ボタンをクリックする。"]
[]
[]
[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,"X","＝-TL*Cos(θS)+R*Sin(θS)"]
[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,"Y","=EL-TL*Sin(θS)-R*Cos(θS)"]
[]
[]
[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,{"$f":"101.2-45","v":56.2}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"点IPの座標を次のように設定する"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"点IP",null,"点O"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X座標","Y座標(EL)","X座標","Y座標(EL)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"（m)","(m)","（m)","(m)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,18.5]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"θ1～θ2への角度刻みを1度とし、角度を変化させて管頂高および管底高"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"を求めて、最大値、最小値を求める。"]
[]
[]
[]
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21]
[]
[null,null,"勾配",null,null,null,null,null,null,null,null,18.5]
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[null,"Dis","区間距離","(m)",20,null,null,null,null,null,null,45,null,null,null,null,null,null,55]
[null,"Tuika_Dis","追加距離","(m)",100,null,null,null,null,null,null,145,null,null,null,null,null,null,200]
[null,"SP","測点",null,"No.1",null,null,null,null,null,null,"IP.1",null,null,null,null,null,null,"No.2"]
[null,null,"平面偏角"]
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[null,null,"管種",null,"VP",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"θ","I","TH（I)",null,null,"I","UH(I)"]
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[null,null,300,null,316.20001220703125,null,11.25,null,{"$f":"G43-K43","v":-33.75},null,45,null,850,null,352.08154296875,null,107.91847229003906,null,505,null,{"$f":"O43+Q43","v":460.00001525878906},null,{"$f":"O43+S43","v":857.08154296875},null,null,{"$f":"K43*PI()/180","v":0.78539816339744828},null,null,100.95000025884666,3,18.587390660760459,1.2001301058047337E-2,null,3,18.276947601056531,-4.8061619295435259E-2]
[null,null,"管頂高",null,null,null,null,null,null,null,null,null,"管中心高",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,100.85000026480711,4,18.587723367802912,1.0273577987313903E-2,null,4,18.277175951417853,-4.9247425837303793E-2]
[null,null,"TH1",null,"TH2",null,"TH3",null,"TH4",null,"TH5",null,"FH1",null,"FH2",null,"ＦH3",null,"ＦH4",null,"ＦH5",null,null,null,null,null,null,null,100.75000027076759,5,18.588053058894708,8.5452768650461919E-3,null,5,18.277402231809699,-5.043362911942692E-2]
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[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"L34-TAN(G43*PI()/180)*U43/1000","v":18.408500307970197},null,{"$f":"L34-TAN(G43*PI()/180)*O43/1000","v":18.429966626777404},null,null,null,{"$f":"L34+TAN(I43*PI()/180)*O43/1000","v":18.264746634182615},null,{"$f":"L34+TAN(I43*PI()/180)*W43/1000","v":17.927316422033371},null,null,null,null,null,null,null,100.5500002826885,7,18.588703389218338,5.0869615264690915E-3,null,7,18.277848579934115,-5.280721144971795E-2]
[null,null,"管底高",null,null,null,null,null,null,null,null,null,"土かぶり",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,100.45000025884666,8,18.589024026564257,3.356957329122362E-3,null,8,18.278068646372308,-5.3994583621464781E-2]
[null,null,"UH1",null,"UH2",null,"UH3",null,"UH4",null,"UH5",null,"CH1",null,"CH2",null,"CH3",null,"CH4",null,"CH5",null,null,null,null,null,null,null,100.35000029460944,9,18.589341643807273,1.6263971807924105E-3,null,9,18.278286639991169,-5.5182337364959977E-2]
[null,null,"（m)",null,"（m)",null,"（m)",null,"（m)",null,"（m)",null,"（m)",null,"（m)",null,"（m)",null,"（m)",null,"（m)",null,null,null,null,null,null,null,100.25000027076759,10,18.589656240358497,-1.0471570992048873E-4,null,10,18.278502560386521,-5.6370470478010859E-2]
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[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,100.05000022308386,12,18.590276366990871,-3.5685755297535371E-3,null,12,18.278928178490435,-5.8747858211063458E-2]
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{"sheet":"Sheet3","index":6,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"Sheet2","index":7,"n_rows":123,"n_cols":14,"rows_kept":123,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,null,null,"平面図（回転角0°)",null,null,null,null,"断面図"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"1.Case1　"]
[null,null,"X軸に平行なA軸を0°～90°まで回転させたときの平面偏角・縦断偏角および合成角は下表のようになる"]
[]
[null,null,"45°曲管"]
[null,null,"A軸回転角","LX","LY","平面長L","点Pの高さ","平面偏角θ","縦断偏角β","合成角"]
[null,1,0,70.710999999999999,70.710999999999999,100,0,45,{"$f":"ASIN(G33/100)*180/PI()","v":0}]
[null,2,5,70.710999999999999,{"$f":"70.711*COS(C34*PI()/180)","v":70.441923296765424},{"$f":"SQRT(100*100-G34*G34)","v":99.809914521290835},{"$f":"70.711*SIN(C34*PI()/180)","v":6.1628697254296565},{"$f":"ATAN(E34/D34)*180/PI()","v":44.890778452007524},{"$f":"ASIN(G34/100)*180/PI()","v":3.5333032988903414}]
[null,3,10,70.710999999999999,{"$f":"70.711*COS(C35*PI()/180)","v":69.636741023246245},99.243287830153363,12.278836291006311,{"$f":"ATAN(E35/D35)*180/PI()","v":44.5614514132577},7.0530543994321127]
[null,4,15,70.710999999999999,68.301581102726303,98.311039360451787,18.301353498244342,44.007027195636283,10.545339142083618]
[null,5,20,70.710999999999999,66.446604908392374,97.031468003179228,24.184586354701359,43.219178893714179,13.995510365492827]
[null,6,25,70.710999999999999,64.085929929148548,95.430398164755346,29.883759905946597,42.186261181045296,17.38780000811493]
[null,7,30,70.710999999999999,61.237522327001443,93.541373839333787,35.355499999999992,40.893394649130911,20.704909633669672]
[null,8,35,70.710999999999999,57.923060203718897,91.405882646379183,40.558163390818819,39.322689909640033,23.927580447946813]
[null,9,40,70.710999999999999,54.167768617386052,{"$f":"SQRT(100*100-G41*G41)","v":89.073574285456147},45.452154668544878,37.453719557105146,27.034153927181652]
[null,10,45,70.710999999999999,50.000227604481964,{"$f":"SQRT(100*100-G42*G42)","v":86.602408970536146},{"$f":"70.711*SIN(C42*PI()/180)","v":50.000227604481957},35.264389682754654,30.000150582027402]
[null,11,50,70.710999999999999,45.452154668544885,84.05862741571103,{"$f":"70.711*SIN(C43*PI()/180)","v":54.167768617386052},32.732407209612354,32.797919400864437]
[null,12,55,70.710999999999999,40.558163390818827,81.516373181320802,57.923060203718897,29.837566478313793,35.396445463865362]
[null,13,60,70.710999999999999,35.355500000000006,79.05672557885255,61.237522327001436,26.565051177077997,37.761445934147332]
[null,14,65,70.710999999999999,29.883759905946597,76.76583605430389,64.085929929148548,22.909807125143679,39.855925165231426]
[null,15,70,70.710999999999999,24.184586354701366,74.731845261227221,66.446604908392359,18.881721230906876,41.641375166318888]
[null,16,75,70.710999999999999,18.301353498244342,73.040358835836102,68.301581102726303,14.510818699069853,43.079761034376709]
[null,17,80,70.710999999999999,12.278836291006316,71.768546729478459,69.636741023246245,9.8510761165839114,44.136282530416629]
[null,18,85,70.710999999999999,6.1628697254296547,70.978415326440029,70.441923296765424,4.9810693937002011,44.782643841150495]
[null,19,90,70.710999999999999,4.3315736197521711E-15,70.710678118654741,70.710678118654741,3.5097917871618886E-15,45]
[]
[]
[null,"2.Case2"]
[null,null,"X軸に平行ないA軸を0°～90°まで回転させたときの平面偏角・縦断偏角および合成角は下表のようになる"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,"Lp=100*sin(θ-θS）+100*cos(θ-θS）*tan(θS)"]
[]
[null,null,null,null,null,null,null,null,null,null,null,72.095982199999995]
[]
[]
[null,null,"A軸の傾きをθSとした時の曲管を回転させる場合を考える。"]
[]
[null,null,"45°曲管","θS=",11.25,"(deg)","IP点標高=",10,"(m)"]
[null,null,"A軸回転角","LX","LY",null,"点Pの高さ","平面偏角θ","縦断勾配","縦断偏角","H","Lx’","LY’","合成角"]
[null,1,0,{"$f":"100*COS((45-11.25)*PI()/180)","v":83.146961230254519},{"$f":"$L$74*COS(C81*PI()/180)","v":72.095982199999995},{"$f":"E81*COS(11.25*PI()/180)","v":70.710678117973302},10.016538959,{"$f":"ATAN(F81/70.710678)*180/PI()","v":45.000000047795972},{"$f":"ATAN(M81/L81)*180/PI()","v":9.5198672845977352},{"$f":"11.25-I81","v":1.7301327154022648},{"$f":"$L$74*SIN(C81*PI()/180)","v":0},{"$f":"SQRT(0.1*0.1-$M81*$M81)","v":9.862283120655338E-2},{"$f":"-$H$79+G81","v":1.653895900000002E-2}]
[null,2,5,{"$f":"100*COS((45-11.25)*PI()/180)","v":83.146961230254519},{"$f":"$L$74*COS(C82*PI()/180)","v":71.821635221356857},{"$f":"E82*COS(11.25*PI()/180)","v":70.441602639597022},{"$f":"$G$81-72.0959822*SIN(C82*PI()/180)/1000","v":10.010255380122237},{"$f":"ATAN(F82/70.710678)*180/PI()","v":44.890778499803162},{"$f":"ATAN(M82/L82)*180/PI()","v":5.8862487865141491},{"$f":"11.25-I82","v":5.3637512134858509},{"$f":"$L$74*SIN(C82*PI()/180)","v":6.2835788777629418},{"$f":"SQRT(0.1*0.1-$M82*$M82)","v":9.9472745908356405E-2},{"$f":"-$H$79+G82","v":1.0255380122236701E-2}]
[null,3,10,83.146961230254519,71.000682231590147,69.636424031330804,{"$f":"$G$81-72.0959822*SIN(C83*PI()/180)/1000","v":10.004019623073862},44.561451461048073,2.3036950187560832,8.9463049812439159,12.519335926137446,9.9919180492756624E-2,4.0196230738622774E-3]
[null,4,15,83.146961230254519,69.639371178656958,68.301270188563706,9.9978791457312681,44.00702724340357,-1.2152511010063163,12.465251101006317,18.659813268732332,9.9977507356258905E-2,-2.1208542687318754E-3]
[null,5,20,83.146961230254519,67.748062461652196,66.446302438227121,9.9918806808347505,43.219178941417837,-4.6571537160165581,15.907153716016559,24.658278165248859,9.9669838247550158E-2,-8.11931916524955E-3]
[null,6,25,83.146961230254519,65.3411500819157,64.085638204961256,9.9860698803241483,42.186261228610924,-8.0074115439962466,19.257411543996248,30.469078675852405,9.9025005760244478E-2,-1.3930119675851671E-2]
[null,7,30,83.146961230254519,62.436952095990698,61.2372435689893,9.9804909678999998,40.893394696436658,-11.249999940639668,22.499999940639668,36.04799109999999,9.8078528060535061E-2,-1.9509032100000212E-2]
[null,8,35,83.146961230254519,59.057571204152758,57.92279653339871,9.9751864024544954,39.322689956500518,-14.367236189386125,25.617236189386126,41.352556545504449,9.6872521268158027E-2,-2.4813597545504607E-2]
[null,9,40,83.146961230254519,55.228726535514745,54.167522041448166,9.9701965549336595,37.45371960325248,-17.33958585674095,28.58958585674095,46.342404066341281,9.5455511429029749E-2,-2.9803445066340473E-2]
[null,10,45,83.146961230254519,50.979557909924623,49.999999999518145,9.9655594010900757,35.264389727817139,-20.145539358515098,31.395539358515098,50.979557909924615,9.3882081073683704E-2,-3.4440598909924347E-2]
[null,11,50,83.146961230254519,46.342404066341288,45.451947766766345,9.961310232464486,32.73240725309266,-22.761600901113155,34.011600901113155,55.228726535514745,9.2212265388330467E-2,-3.8689767535514008E-2]
[null,12,55,83.146961230254519,41.352556545504456,40.557978766873028,9.9574813877958466,29.837566519570156,-25.162444898049156,36.412444898049159,59.057571204152758,9.0510593944757745E-2,-4.2518612204153428E-2]
[null,13,60,83.146961230254519,36.047991100000004,35.355339058986658,9.9541020069040087,26.565051215314774,-27.321303879765072,38.571303879765068,62.436952095990691,8.8844663484985625E-2,-4.5897993095991296E-2]
[null,14,65,83.146961230254519,30.469078675852405,29.883623872723991,9.951197808918085,22.909807159420531,-29.210650228360191,40.460650228360194,65.3411500819157,8.7283137807965303E-2,-4.880219108191497E-2]
[null,15,70,83.146961230254519,24.658278165248866,24.184476264564463,9.9487908965383482,18.881721260177262,-30.803213152660245,42.053213152660248,67.748062461652196,8.5893118016834441E-2,-5.120910346165175E-2]
[null,16,75,83.146961230254519,18.659813268732332,18.30127018904556,9.9468995878213438,14.510818722257589,-32.073324425209798,43.323324425209798,69.639371178656958,8.4736923631064262E-2,-5.3100412178656242E-2]
[null,17,80,83.146961230254519,12.519335926137451,12.278780396778956,9.94553827676841,9.8510761326974006,-32.998510509197295,44.248510509197295,71.000682231590147,8.3868472638087832E-2,-5.4461723231590042E-2]
[null,18,85,83.146961230254519,6.28357887776294,6.1628416715625409,9.9447173237786437,4.9810694019687807,-33.561157636528677,44.811157636528677,71.821635221356857,8.3329620842799282E-2,-5.5282676221356297E-2]
[null,19,90,83.146961230254519,4.4164140598724684E-15,4.3315539020887885E-15,{"$f":"$H$79-100*SIN((45-$E$79)*PI()/180)/1000","v":9.9444429766980402},3.5097917930176062E-15,-33.749999999999687,44.999999999999687,72.095982199999995,8.3146961230254834E-2,-5.5557023301959774E-2]
[]
[]
[null,null,null,null,null,null,9.9444429766980402]
[]
[]
[null,null,null,null,null,1,10.016538959]
[null,null,null,null,null,2,10.010255380122237]
[null,null,null,null,null,3,10.004019623073862]
[null,null,null,null,null,4,9.9978791457312681]
[null,null,null,null,null,5,9.9918806808347505]
[null,null,null,null,null,6,9.9860698803241483]
[null,null,null,null,null,7,9.9804909678999998]
[null,null,null,null,null,8,9.9751864024544954]
[null,null,null,null,null,9,9.9701965549336595]
[null,null,null,null,null,10,9.9655594010900757]
[null,null,null,null,null,11,9.961310232464486]
[null,null,null,null,null,12,9.9574813877958466]
[null,null,null,null,null,13,9.9541020069040087]
[null,null,null,null,null,14,9.951197808918085]
[null,null,null,null,null,15,9.9487908965383482]
[null,null,null,null,null,16,9.9468995878213438]
[null,null,null,null,null,17,9.94553827676841]
[null,null,null,null,null,18,9.9447173237786437]
[null,null,null,null,null,19,9.9444429766980402]