{"text_format":"1","workbook":"xlsx","n_sheets":8,"sheets":["BasicCalcs","Mini-Kayak","Offset Table","Drawing","Unfold Offset Table","Unfold Plot","Section","Slice"],"not_rendered":{"charts":0,"images":0,"macros":1,"external_links":2,"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":"BasicCalcs","index":0,"n_rows":94,"n_cols":5,"rows_kept":94,"cut":false,"hidden":false,"merged":[[66,2,66,3],[73,1,73,4],[85,1,85,4],[1,1,1,4],[13,1,13,4],[24,1,24,4],[37,1,37,4],[57,1,57,4],[59,1,59,4]]}
[]
[null,"Canoe Basic Metrics"]
[null,"Length Overall (LOA)",{"$f":"'Mini-Kayak'!M2","v":2.3896319999999998},"m"]
[null,"Beam Overall (BOA)",{"$f":"'Mini-Kayak'!M3","v":0.44800000000000001},"m"]
[null,"Length Water Line (LWL)",{"$f":"'Mini-Kayak'!M4","v":2.2388659999999998},"m"]
[null,"Beam Water Line (BWL)",{"$f":"'Mini-Kayak'!M5","v":0.28399999999999997},"m","Actually the bottom width"]
[null,"Depth Water Line (DWL)",{"$f":"'Mini-Kayak'!M6","v":7.4999999999999997E-2},"m"]
[null,"Rocker",{"$f":"'Mini-Kayak'!M7","v":7.4999999999999997E-2},"m"]
[null,"Amidships Deadrise",{"$f":"'Mini-Kayak'!M8","v":7.4808861795236776},"Degrees"]
[null,"Amidships Freeboard",{"$f":"'Mini-Kayak'!M9","v":0.153},"m"]
[null,"Forward Freeboard",{"$f":"'Mini-Kayak'!M10","v":0.158},"m"]
[null,"Rear Freeboard",{"$f":"'Mini-Kayak'!M11","v":0.121},"m"]
[]
[null,"Basic Calculations"]
[null,"Mid-Section Area",{"$f":"C6*C7","v":2.1299999999999996E-2},"m^2"]
[null,"Plan Water Line Area",{"$f":"C6*C5*2/3","v":0.42389196266666662},"m^2"]
[null,"Displacement Volume",{"$f":"C5*C6*(C7-C8/3)*2/3","v":2.1194598133333329E-2},"m^3"]
[null,"Displacement Weight",{"$f":"C17*1025","v":21.724463086666663},"kg"]
[null,"Prismatic Coefficient (cp)",{"$f":"C17/(C5*C6*C7)","v":0.44444444444444436}]
[null,"Displacement Length Ratio (DLR)",{"$f":"C18/(C3/3.048)^3","v":45.081760114988057}]
[null,"Hull Speed",{"$f":"1.34*(C5*3.28)^0.5","v":3.6312468313084967},"kt"]
[null,"Design G Force",3.5,"g","Light duty"]
[null,"Design Pressure",{"$f":"C22*C18*9.81/1000/C16","v":1.7596687499999997},"KN"]
[]
[null,"Bottom Plank Design"]
[null,"Design Pressure (P)",{"$f":"C23","v":1.7596687499999997},"kPa"]
[null,"Span (L)",{"$f":"C6*1000","v":284},"mm","BWL"]
[null,"Allowable Stress (S)",14000,"kPa","F14 Plywood"]
[null,"Plank Thickness (t)",{"$f":"(C26*C27*C27/C28/2)^0.5","v":2.2514110075683647},"mm","t^2=P*L^2/2/S, ~fixed sides"]
[null,"Design Plank Thickness (t)",4,"mm"]
[null,"Modulus of Elasticity (E)",{"$f":"10500000*80%","v":8400000},"kPa","Factored 80% for wet condition"]
[null,"Moment of Inertia (I)",{"$f":"1000*C30^3/12","v":5333.333333333333},"mm^4"]
[null,"Deflection (d)",{"$f":"C26*C27^4/384/C31/C32*1000","v":0.66541876399804678},"mm","d=P*L^4/384EI (2% max)"]
[null,"Deflection Ratio",{"$f":"C27/C33","v":426.79890523921807}]
[null,"Maximum Concentrated Load",{"$f":"C28*C30*C30/1000000","v":0.224},"kN","=S*t*t"]
[null,"Note: Hull bottom centre needs reinforcement"]
[]
[null,"Hull Centre Reinforcement"]
[null,"T-Section Modulus"]
[null,"Maximum Rib Spacing (Flange Width)",{"$f":"36*C42+C44","v":224},"mm","Fw<36t+w"]
[null,"Design Rib Spacing",200,"mm"]
[null,"Plank Thickness  (Flange Thickness) ",{"$f":"C30","v":4},"mm"]
[null,"Rib Thickness (Web Height)",4,"mm"]
[null,"Rib Width (Web Thickness)",80,"mm"]
[null,"A",{"$f":"C40*C42+C43*C44","v":1216},"mm^2"]
[null,"cy",{"$f":"(C40*C42*C42/2+C43*C44*(C42+C43/2))/(C40*C42+C43*C44)","v":3.0526315789473686},"mm","From top of T"]
[null,"cx",{"$f":"(C40*C42*0/2+C43*C44*0/2)/(C40*C42+C43*C44)","v":0},"mm","From centre line of T"]
[null,"Ixx",{"$f":"C41*C42^3/12+C41*C42*(C46-C42/2)^2+C44*C43^3/12+C44*C43*(C46-C42-C43/2)^2","v":5159.5937211449673},"mm^4"]
[null,"Iyy",{"$f":"C40*C40*C40*C42/12+C44*C44*C44*C43/12","v":3917141.333333333},"mm^4"]
[null,"Design Point Load",1,"kN","~100kg"]
[null,"Span",{"$f":"C27","v":284},"mm"]
[null,"Allowable Stress",{"$f":"C28","v":14000},"kPa","F14 Plywood"]
[null,"Bending Moment",{"$f":"C50*C51/8","v":35.5},"Nm"]
[null,"Section Modulus",{"$f":"C48/C46","v":1690.2117362371444},"mm^3"]
[null,"Working Stress (per rib)",{"$f":"C53/C54*1000000","v":21003.285706104689},"kN"]
[null,"Distribute Load (over two ribs)",{"$f":"C55/2","v":10501.642853052344},"kN"]
[null,"Safety Factor",{"$f":"C52/C56","v":1.3331247497081702}]
[null,"Note: May be easier to either double plank thickness or reinforce with one layers of 4 oz/sq_yd fibre-glass on both sides"]
[]
[null,"Side Plank Design"]
[null,"Design Pressure (P)",{"$f":"C23","v":1.7596687499999997},"kPa"]
[null,"Span (L)",{"$f":"(C10+C7)*1000","v":227.99999999999997},"mm"]
[null,"Allowable Stress (S)",{"$f":"C28","v":14000},"kPa","F14 Plywood"]
[null,"Plank Thickness (t)",{"$f":"(C61*C62*C62/C63/2)^0.5","v":1.8074708088929123},"mm","t^2=P*L^2/2/S, ~fixed sides"]
[null,"Design Plank Thickness (t)",{"$f":"C43","v":4},"mm","Okay"]
[]
[null,"Hull Section Modulus",null,null,"Triangular Load & Free Ends"]
[null,"Design Pressure",{"$f":"C23","v":1.7596687499999997},"kPa"]
[null,"Width",{"$f":"C6*1000","v":284},"mm","BWL"]
[null,"Length",{"$f":"C5*1000","v":2238.866},"mm","LWL"]
[null,"Allowable Stress ",{"$f":"C28","v":14000},"kPa","F14 Plywood"]
[null,"Required Section Modulus",{"$f":"C68*C69*C70^2/12/C71","v":14910.636468533177},"mm^3","SM=PsL^2/12/S"]
[]
[null,"Channel Model"]
[null,"Chine Width (web)",{"$f":"C27","v":284},"mm","BWL"]
[null,"Side Height (flange)",{"$f":"(C10+C7)*1000","v":227.99999999999997},"mm"]
[null,"Deck Width (lip)",50,"mm"]
[null,"Thickness (t)",{"$f":"C30","v":4},"mm"]
[null,"cy (from bottom)",{"$f":"C76*(C76+2*C77)/(C75+2*C76+2*C77)","v":89.028571428571411},"mm"]
[null,"I",{"$f":"1/12*C75*C78^3+2/3*C78*C76^3+1/6*C77*C78^3+2*C77*C78*C76^2-(C75*C78+2*C76*C78+2*C77*C78)*C76^2*(C76+2*C77)^2/(C75+2*C76+2*C77)^2","v":25770269.257142846},"mm^4"]
[null,"Rg",{"$f":"(C80/(C75+2*C76+2*C77)/C78)^0.5","v":87.576954692414802},"mm","Radius of gyration"]
[null,"Slenderness Ratio",{"$f":"C70/C81","v":25.564556427695837}]
[null,"Z",{"$f":"MIN(C80/C79,C80/(C76-C79))","v":185435.73684210519},"mm^3"]
[null,"Safety Factor",{"$f":"C83/C72","v":12.436473602816452},null,"Assumes no significant keel or stringers"]
[]
[null,"Plywood Fibre Glass Joins"]
[null,"Spw",{"$f":"C28","v":14000},"Pa"]
[null,"b",1,"m"]
[null,"h",{"$f":"C30","v":4},"mm"]
[null,"M",{"$f":"C87*C88*C89^2/6","v":37333.333333333336},"Nm","M=Spw*b*h^2/6"]
[null,"Sfg",120000000,"Pa"]
[null,"t",{"$f":"1000*((C90*6*C89/C91/C88+C89*C89*C89)^(1/3)-C89)/2","v":7.7774753282522369E-2},"mm","t~((6*M*h/Sfg/b+h^3)^(1/3)-h)/2"]
[null,"F/G Weight",{"$f":"C92*16","v":1.2443960525203579},"oz/sq_yd","Each side of plywood"]
[null,"F/G Overlap (each side of join)",{"$f":"C89*3","v":12},"mm","=3*h [JS = 15%*(1+L/h)]"]

{"sheet":"Mini-Kayak","index":1,"n_rows":61,"n_cols":37,"rows_kept":61,"cut":false,"hidden":false,"merged":[[19,32,19,36],[3,4,5,6],[19,17,19,21],[19,12,19,16],[19,7,19,11],[19,2,19,6],[19,27,19,31],[9,8,9,11],[10,8,10,11],[5,14,5,16],[6,14,6,16],[7,14,7,16],[8,14,8,16],[9,14,9,16],[10,14,10,16],[5,8,5,11],[6,8,6,11],[7,8,7,11],[8,8,8,11],[0,8,0,16],[19,22,19,26],[1,14,1,16],[2,14,2,16],[3,14,3,16],[4,14,4,16],[29,1,29,4],[29,6,29,9],[29,11,29,14],[29,16,29,19],[29,21,29,24],[0,0,0,2],[1,8,1,11],[2,8,2,11],[3,8,3,11],[4,8,4,11]]}
["Mini-Kayak",null,null,null,null,null,null,null,"Mini-Kayak Basic Metrics"]
["Find Offet Table at row",20,null,null,null,null,null,null,"Length Overall (LOA)",null,null,null,{"$f":"(AB22-H22)/1000","v":2.3896319999999998},"m"]
["Stations",7,null,null,null,null,null,null,"Beam Overall (BOA)",null,null,null,{"$f":"S23/500","v":0.44800000000000001},"m"]
["Chines",4,null,null,null,null,null,null,"Length Water Line (LWL)",null,null,null,{"$f":"(AB24-H24)/1000","v":2.2388659999999998},"m"]
["Forward-Aft Slice",100,"mm",null,null,null,null,null,"Beam Water Line (BWL)",null,null,null,{"$f":"N24/500","v":0.28399999999999997},"m","Actually the bottom width"]
["First slice",0,"mm",null,null,null,null,null,"Depth Water Line (DWL)",null,null,null,{"$f":"-T25/1000","v":7.4999999999999997E-2},"m"]
["Last slice",2400,"mm",null,null,null,null,null,"Rocker",null,null,null,{"$f":"(J25-T25)/1000","v":7.4999999999999997E-2},"m"]
["Water Line Slice",25,"mm",null,null,null,null,null,"Amidships Deadrise",null,null,null,{"$f":"DEGREES(ATAN2(S24-S25,T24-T25))","v":7.4808861795236776},"Degrees"]
["Draft",-75,"mm",null,null,null,null,null,"Amidships Freeboard",null,null,null,{"$f":"T22/1000","v":0.153},"m"]
["Displacement",28.235042557283208,"dm3",null,null,null,null,null,"Forward Freeboard",null,null,null,{"$f":"J22/1000","v":0.158},"m"]
["Find Unfold Offsets at row",30,null,null,null,null,null,null,"Rear Freeboard",null,null,null,{"$f":"Y22/1000","v":0.121},"m"]
[]
["Export Plan Slice at",0,"mm"]
["Export Cross Section at",1203,"mm"]
[]
["This design is based on work by:"]
["Bruce C. Anderson"]
["http://buckwheat-anderson.com/bcanderson/Boatz/OSKayak/OSKbuild.html"]
[]
["Table Row","Station",1,null,null,null,null,2,null,null,null,null,3,null,null,null,null,4,null,null,null,null,5,null,null,null,null,6,null,null,null,null,7]
[null,"Chine","X","Y","Z","Break","Colour","X","Y","Z","Break","Colour","X","Y","Z","Break","Colour","X","Y","Z","Break","Colour","X","Y","Z","Break","Colour","X","Y","Z","Break","Colour","X","Y","Z","Break","Colour"]
["Deck",4,0,0.254,158,true,0,0,0.254,158,true,4,596,0,155,false,4,1203.1979999999999,0,153,false,4,1791.2079999999999,0,121,false,4,2389.6319999999996,0,99,true,0,2389.6319999999996,0,99,true,0]
["Sheer",3,0,0.254,158,true,0,0,0.254,158,true,3,596,169,114,false,3,1203.1979999999999,224,99,false,3,1791.2079999999999,169,99,false,3,2389.6319999999996,0,99,true,0,2389.6319999999996,0,99,true,0]
["Chine",2,0,0.254,158,true,2,118,0.254,0,true,2,596,142,-26,false,2,1203.1979999999999,198,-49,false,2,1791.2079999999999,142,-29,false,2,2356.866,0,0,true,2,2389.6319999999996,0,99,true,0]
["Centreline",1,0,0.254,158,true,1,118,0.254,0,true,1,596,0.254,-52,false,1,1203.1979999999999,0,-75,false,1,1791.2079999999999,0,-55,false,1,2356.866,0,0,true,1,2389.6319999999996,0,99,true,0]
[]
[]
[]
[]
["Offset Row",{"$f":"A25&\" - \"&A24","v":"Centreline - Chine"},null,null,null,null,{"$f":"A24&\" - \"&A23","v":"Chine - Sheer"},null,null,null,null,{"$f":"A23&\" - \"&A22","v":"Sheer - Deck"}]
[null,"X Lower","Y Lower","X Upper","Y Upper",null,"X Lower","Y Lower","X Upper","Y Upper",null,"X Lower","Y Lower","X Upper","Y Upper",null,"X Lower","Y Lower","X Upper","Y Upper",null,"X Lower","Y Lower","X Upper","Y Upper"]
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[38,{"$f":"IF('Mini-Kayak'!B69<>\"\",'Mini-Kayak'!B69*COS(RADIANS(E$4))-'Mini-Kayak'!C69*SIN(RADIANS(E$4))+E$1,\"\")","v":""},{"$f":"IF('Mini-Kayak'!C69<>\"\",('Mini-Kayak'!B69*SIN(RADIANS(E$4))+'Mini-Kayak'!C69*COS(RADIANS(E$4))*E$3)+E$2,\"\")","v":""},{"$f":"IF('Mini-Kayak'!D69<>\"\",'Mini-Kayak'!D69*COS(RADIANS(E$4))-'Mini-Kayak'!E69*SIN(RADIANS(E$4))+E$1,\"\")","v":""},{"$f":"IF('Mini-Kayak'!E69<>\"\",('Mini-Kayak'!D69*SIN(RADIANS(E$4))+'Mini-Kayak'!E69*COS(RADIANS(E$4))*E$3)+E$2,\"\")","v":""},null,{"$f":"IF('Mini-Kayak'!G69<>\"\",'Mini-Kayak'!G69*COS(RADIANS(J$4))-'Mini-Kayak'!H69*SIN(RADIANS(J$4))+J$1,\"\")","v":""},{"$f":"IF('Mini-Kayak'!H69<>\"\",('Mini-Kayak'!G69*SIN(RADIANS(J$4))+'Mini-Kayak'!H69*COS(RADIANS(J$4))*J$3)+J$2,\"\")","v":""},{"$f":"IF('Mini-Kayak'!I69<>\"\",'Mini-Kayak'!I69*COS(RADIANS(J$4))-'Mini-Kayak'!J69*SIN(RADIANS(J$4))+J$1,\"\")","v":""},{"$f":"IF('Mini-Kayak'!J69<>\"\",('Mini-Kayak'!I69*SIN(RADIANS(J$4))+'Mini-Kayak'!J69*COS(RADIANS(J$4))*J$3)+J$2,\"\")","v":""},null,{"$f":"IF('Mini-Kayak'!L69<>\"\",'Mini-Kayak'!L69*COS(RADIANS(O$4))-'Mini-Kayak'!M69*SIN(RADIANS(O$4))+O$1,\"\")","v":""},{"$f":"IF('Mini-Kayak'!M69<>\"\",('Mini-Kayak'!L69*SIN(RADIANS(O$4))+'Mini-Kayak'!M69*COS(RADIANS(O$4))*O$3)+O$2,\"\")","v":""},{"$f":"IF('Mini-Kayak'!N69<>\"\",'Mini-Kayak'!N69*COS(RADIANS(O$4))-'Mini-Kayak'!O69*SIN(RADIANS(O$4))+O$1,\"\")","v":""},{"$f":"IF('Mini-Kayak'!O69<>\"\",('Mini-Kayak'!N69*SIN(RADIANS(O$4))+'Mini-Kayak'!O69*COS(RADIANS(O$4))*O$3)+O$2,\"\")","v":""},null,{"$f":"IF('Mini-Kayak'!L69<>\"\",'Mini-Kayak'!L69*COS(RADIANS(T$4))-'Mini-Kayak'!M69*SIN(RADIANS(T$4))+T$1,\"\")","v":""},{"$f":"IF('Mini-Kayak'!M69<>\"\",('Mini-Kayak'!L69*SIN(RADIANS(T$4))+'Mini-Kayak'!M69*COS(RADIANS(T$4))*T$3)+T$2,\"\")","v":""},{"$f":"IF('Mini-Kayak'!N69<>\"\",'Mini-Kayak'!N69*COS(RADIANS(T$4))-'Mini-Kayak'!O69*SIN(RADIANS(T$4))+T$1,\"\")","v":""},{"$f":"IF('Mini-Kayak'!O69<>\"\",MAX(('Mini-Kayak'!N69*SIN(RADIANS(T$4))+'Mini-Kayak'!O69*COS(RADIANS(T$4))*T$3)+T$2,M44+3),\"\")","v":""},null,{"$f":"IF('Mini-Kayak'!V69<>\"\",'Mini-Kayak'!V69*COS(RADIANS(Y$4))-'Mini-Kayak'!W69*SIN(RADIANS(Y$4))+Y$1,\"\")","v":""},{"$f":"IF('Mini-Kayak'!W69<>\"\",('Mini-Kayak'!V69*SIN(RADIANS(Y$4))+'Mini-Kayak'!W69*COS(RADIANS(Y$4))*Y$3)+Y$2,\"\")","v":""},{"$f":"IF('Mini-Kayak'!X69<>\"\",'Mini-Kayak'!X69*COS(RADIANS(Y$4))-'Mini-Kayak'!Y69*SIN(RADIANS(Y$4))+Y$1,\"\")","v":""},{"$f":"IF('Mini-Kayak'!Y69<>\"\",('Mini-Kayak'!X69*SIN(RADIANS(Y$4))+'Mini-Kayak'!Y69*COS(RADIANS(Y$4))*Y$3)+Y$2,\"\")","v":""}]
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