{"text_format":"1","workbook":"xlsx","n_sheets":4,"sheets":["Kalkulator","Oblicz","Komentarze","Robol"],"not_rendered":{"charts":2,"images":4,"macros":1,"external_links":0,"defined_names":73,"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":"Kalkulator","index":0,"n_rows":53,"n_cols":12,"rows_kept":53,"cut":false,"hidden":false,"merged":[[22,2,22,8]]}
[null,null,null,null,null,null,null,null,null,null,null,"Dla Projektanta:"]
[null,"Projekt","Projekt rewizja 1.2",null,null,null,null,null,"Projektant: Chodor-Projekt www.chodor-projekt.net",null,null," Wprowadzaj dane tylko do  niebieskich komórek"]
[null,"Klient","Pracownia Projektowa Chodor-Projekt",null,null,null,null,null,"Opracował","Data","Strona"," Czerwone komunikaty  niżej wskazują na błędy danych."]
[null,"Lokalizacja","Kielce/Warszawa",null,null,null,null,null,"LCH",{"$f":"TODAY()","v":"2018-04-02"},25," Pomarańczowe komunikaty są uwagami"]
[null,"  ZGINANIE Z SIŁĄ OSIOWĄ  wg PN-EN 1992 nieliniowy model betonu i stali",null,null,null,null,null,null,"Sprawdził","Rewizja","Zlecenie"," Wymogi konstrukcyjne (beton, stal, otulenie):"]
[null,"Plik CHP Ż01 v.1.2.xls'  © 2017-2018 Chodor-Projekt na podstawie RCC12  © 1999 BCA for RCC",null,null,null,null,null,null,"MK","-","ChP-1",{"$f":"IF(OR(f_ck>99,f_ck<25),\"Beton niekonstrukcyjny fcu<25\",\"-\")","v":"-"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(f_yk>500,f_yk <250),\"Sprawdź fy stali\",\"-\")","v":"-"}]
[null,null,"Rodzaj elementu",null,null,null,null,null,null,null,null,{"$f":"IF(AND( klasa<>\"A\", klasa<>\"B\",klasa<>\"C\"),\"Uwaga: klasa plastyczności stali może być tylko A,B lub C\",\"-\")","v":"-"}]
[null,"MATERIAŁY",null,null,null,null,null,null,null,null,null,{"$f":"IF(c_u >65,\"Możłiwe zbyt duże otulenie górne - sprawdź z warunku klasy ekspozycji\",\"-\")","v":"-"}]
[null,"fck",35,"N/mm²","gc",1.4,null,null,null,null,null,{"$f":"IF(c_l >65,\"Możłiwe zbyt duże otulenie dolne - sprawdź z warunku klasy ekspozycji\",\"-\")","v":"-"}]
[null,"fyk",500,"N/mm²","gs",1.1499999999999999,"Klasa plast.","A",null,null,null,{"$f":"IF(OR(S_min<F_u,S_min<F_l,S_min<20),\"Za mały prześwit między oprętami.\",\"-\")","v":"-"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(c_u<20,c_l<20,c_r<20),\"Za małe otulenie zbrojenia. Sprawdź z warunku klasy ekspozycji\",\"-\")","v":"-"}]
[null,"PRZEKRÓJ",null,null,"Otulenie","(do pobocznicy pręta)",null,null,null,null,null,{"$f":"IF(S_min < 50,\"Maksymalna średnica kruszywa = \"&  ROUND(S_min-5,1) & \" mm\",\"-\")","v":"-"}]
[null,"h",450,"mm","górne cu",30,"mm",null,null,null,null,"Wymóg  minimalnego stopnia zbrojenia:"]
[null,"b",500,"mm","dolne cl",30,"mm",null,null,null,null,{"$f":"IF(AND(OR(Rodzaj_elem=1,Rodzaj_elem=2),A_st < A_sminB),\" Belka (płyta): zbrojenie dolne mniejsze od minimalnego Amin= \"& ROUND(A_sminB,1)&\" mm2\",\"-\")","v":"-"}]
[null,null,null,null,"boczne cr",30,"mm",null,null,null,null,{"$f":"IF(AND(OR(Rodzaj_elem=1,Rodzaj_elem=2),A_sc < A_sminB),\" Belka (płyta): zbrojenie górne mniejsze od minimalnego Amin= \"& ROUND(A_sminB,1)&\" mm2\",\"-\")","v":"-"}]
[null,"ZBROJENIE",null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(OR(Rodzaj_elem=3,Rodzaj_elem=4),A_st < A_sminS/2),\" Słup ( lub ściana): zbrojenie dolne mniejsze od minimalnego Amin= \"& ROUND(A_sminS/2,1)&\" mm2\",\"-\")","v":"-"}]
[null,null,"Pręt Ø","Liczba","Pole","%","co (odstęp)",null,null,null,null,{"$f":"IF(AND(OR(Rodzaj_elem=3,Rodzaj_elem=4),A_sc < A_sminS/2),\" Słup ( lub ściana): zbrojenie dolne mniejsze od minimalnego Amin= \"& ROUND(A_sminS/2,1)&\" mm2\",\"-\")","v":"-"}]
[null,"górne Øu",12,6,{"$f":"PI()/4*F_u^2*n_u","v":678.58401317539528},{"$f":"100*E19/C$14/C$15","v":0.30159289474462009},{"$f":"(b-2*c_u-n_u*F_u)/(n_u-1)","v":73.599999999999994},{"$f":"IF(G19<MAX(25,C19),\"TOO MANY\",IF(F19>2,\"As' > 2%\",\".\"))","v":"."},null,null,null,"Wymóg  maksymalnego stopnia zbrojenia:"]
[null,"dolne Øl",12,2,{"$f":"PI()/4*F_l^2*n_l","v":226.1946710584651},{"$f":"100*E20/C$14/C$15","v":0.10053096491487339},{"$f":"(b-2*c_l-n_l*F_l)/(n_l-1)","v":416},null,"(na drukarce domyślnej)",null,null,{"$f":"IF(AND( OR(Rodzaj_elem=1,Rodzaj_elem=2),A_st > A_smaxB),\"Belka( lub płyta): zbrojenie dolne > maksymalne poza zakładami Amax= \"& ROUND(A_smaxB,1)&\" mm2\",\"-\")","v":"-"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND( OR(Rodzaj_elem=1,Rodzaj_elem=2),A_sc > A_smaxB),\"Belka( lub płyta): zbrojenie górne > maksymalne poza zakładami Amax= \"& ROUND(A_smaxB,1)&\" mm2\",\"-\")","v":"-"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(OR(Rodzaj_elem=3,Rodzaj_elem=4),(A_st+A_sc) > A_smaxS),\"Słup (lub ściana) zbrojenie całkowite > maksymalne Amax= \"& ROUND(A_smaxS,1)&\" mm2\",\"-\")","v":"-"}]
[null,null,{"$f":"Robol!B3","v":"Wykres interakcji M-N dla  przekroju 450 x 500  z betonu C35"},null,null,null,null,null,null,null,null,"Wymóg  rozstawu prętów:"]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND( OR(Rodzaj_elem=1,Rodzaj_elem=2), OR(A_st=0, A_sc=0), OR(S_c>S_maxB_1),S_t>S_maxB_1),\"Belka( lub płyta) jednokierunkowo zbrojona:  za mały rozstaw prętów górnych - Smax= \"& ROUND(S_maxB_1,1)&\" mm\",\"-\")","v":"-"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND( OR(Rodzaj_elem=1,Rodzaj_elem=2), AND(A_st>0, A_sc>0), OR(S_c>S_maxB_2),S_t>S_maxB_2),\"Belka( lub płyta) dwukierunkowo zbrojona:  za mały rozstaw prętów górnych - Smax= \"& ROUND(S_maxB_2,1)&\" mm\",\"-\")","v":"-"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND( OR(Rodzaj_elem=2,Rodzaj_elem=3), OR(S_c>S_MaxS_N1),S_t>S_MaxS_N1),\"Słup( lub ściana) 1 zestaw sił:  Rozstaw prętów większy od max = \"& ROUND(S_MaxS_N1,1)&\" mm\",\"-\")","v":"-"}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND( OR(Rodzaj_elem=2,Rodzaj_elem=3), OR(S_c>S_maxS_N2),S_t>S_maxS_N2),\"Słup( lub ściana), 2 zestaw sił:  Rozstaw prętów większy od max = \"& ROUND(S_maxS_N2,1)&\" mm\",\"-\")","v":"-"}]
[null,null,null,null,null,null,null,null,null,null,null,"Wymóg  średnicy prętów:"]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AND( OR(Rodzaj_elem=1,Rodzaj_elem=2), OR(A_st=0, A_sc=0), OR(S_c>S_maxB_1),S_t>S_maxB_1),\"Belka( lub płyta) jednokierunkowo zbrojona:  za mały rozstaw prętów górnych - Smax= \"& ROUND(S_maxB_1,1)&\" mm\",\"-\")","v":"-"}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"SIŁY PRZEKROJOWE",null,"Przypadek","N","My",null,"Przypadek","N","My"]
[null,"obliczeniowe (SGN)",null,1,1500,320,null,2,-500,50]

{"sheet":"Oblicz","index":1,"n_rows":42,"n_cols":61,"rows_kept":42,"cut":false,"hidden":true,"merged":[[10,49,10,52],[9,38,9,39],[10,17,10,18],[35,2,35,4],[2,13,2,16],[4,1,4,3],[1,10,1,13],[34,2,34,4],[21,3,21,4],[26,3,26,4],[8,32,8,33],[3,11,3,14]]}
[]
[null,{"$f":"Kalkulator!B2","v":"Projekt"},null,{"$f":"Kalkulator!C2","v":"Projekt rewizja 1.2"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"B2","v":"Projekt"},{"$f":"D2","v":"Projekt rewizja 1.2"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"z wykorzystaniem struktury arkusza"]
[null,{"$f":"Kalkulator!B4","v":"Lokalizacja"},null,{"$f":"Kalkulator!C4","v":"Kielce/Warszawa"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Kalkulator!I3&\"  \"&Kalkulator!I4&\"    \"&Kalkulator!K5&\"  \"&Kalkulator!K6","v":"Opracował  LCH    Zlecenie  ChP-1"},null,null,null,null,{"$f":"B3","v":"Lokalizacja"},{"$f":"D3","v":"Kielce/Warszawa"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AC3","v":"Opracował  LCH    Zlecenie  ChP-1"}]
[null,null,null,{"$f":"Kalkulator!B5","v":"  ZGINANIE Z SIŁĄ OSIOWĄ  wg PN-EN 1992 nieliniowy model betonu i stali"},null,null,null,null,null,null,"Opis algorytmu","http://chodor-projekt.net/encyclopedia/nowy-algorytm-projektowania-zelbetu/",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Data",{"$f":"Kalkulator!J4","v":"2018-04-02"},null,null,null,null,null,{"$f":"D4","v":"  ZGINANIE Z SIŁĄ OSIOWĄ  wg PN-EN 1992 nieliniowy model betonu i stali"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AB4","v":"Data"},{"$f":"AC4","v":"2018-04-02"}]
[]
[null,"Wytrz. obl. beton","fcd=","fck/γc ",{"$f":"f_ck/g_c","v":25},"N/mm²",null,null,"Zbrojenie ściskane ( c )","d0 = h/2=",{"$f":"h/2","v":225},"Zbrojenie rozciągane ( t )",null,null,"Dźwignie:",null,null,"Model stali",null,null,null,null,null,null,"Wytrz. beton rozc.",null,"fctm/=0,30* fck 2/3",{"$f":"0.3*f_ck ^(2/3)","v":3.2099624416952368},"N/mm²",null,"Zbrojenie minimalne rozc.:",null,"(dolne  i/lub góne)",null,null,null,null,null,"Zbrojenie maksymalne:",null,null,"Rozstaw maksymalny","jednokierunkowo","dwukierunkowo",null,"Średnice minimalne",null,null,"Graniczne położenia osi obojętnej x w przypadku:"]
[null,"Wytrz. obl. stal","fyd=","fyk/γs ",{"$f":"f_yk/g_s","v":434.78260869565219},"N/mm²",null,null,"Asc =",{"$f":"A_sc","v":678.58401317539528},"mm²","Ast =",{"$f":"A_st","v":226.1946710584651},"mm²",null,null,null,null,null,null,null,null,null,null,"Zred. wysokość  ",null,"h*= h lub 1m (h>1m)",{"$f":"IF(h>1000,1000,h)","v":450},"mm",null,"belka, płyta kruche pękanie",null,"AsminB=max{0,26fctm/fyk;0,0013}*b*dtl",null,{"$f":" MAX(0.26*f_ctm/f_yk,0.0013)*b* d_tl","v":345.52035722407527},"mm²","belka i płyta (dolne ilub górne)",null,"AsmaxB=0,04 *b*h",{"$f":"0.04*b*h","v":9000},"mm²","SmaxB=",{"$f":"IF(h>100,MIN(250,1.2*h),120)","v":250},250,"mm","DminP=",{"$f":"IF(N_Ed1<0,8,12)","v":12},{"$f":"IF(N_Ed2<0,8,12)","v":8}]
[null,"Odkszt liniowe beton","εc2","wg EC2",2E-3,"(-)",null,null,"acu = cu+Øu/2 =",{"$f":"c_u+F_u/2","v":36},"mm","atu = cu+Øu/2 =",{"$f":"c_u+F_u/2","v":36},"mm","β1=(d0 - dcu)/(dtl - d0)",null,{"$f":"(d_0-d_cu)/(d_tl-h/2)","v":1},"współczynnik pochylenia",null,"ks=(0,05 lub0,08 lub 0,15)",null,null,{"$f":"IF(klasa=\"A\",0.05,IF(klasa=\"B\",0.08,0.15))","v":0.05},"(-)","Wsp. k",null,null,{"$f":"1-(h*b)*(0.65-1)/(300^2-800^2)","v":0.85681818181818181},"(-)",null,"belka rysy",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dla NEd1 |","dla NEd2 |","czystego zginania (Fc=0)",null,"xM=(Asc*dcu+Ast*dtu)/(Asc+Ast)",null,null,{"$f":"(A_sc*d_cu+A_st*d_tl)/(A_sc+A_st)","v":130.5},"mm"]
[null,"Wytrz. obl. reduk. stal","fynet=","fyd - fcd",{"$f":"f_yd-f_cd","v":409.78260869565219},"N/mm²",null,null,"dcu = acu =",{"$f":"a_cu","v":36},"mm","dtu = h-atu =",{"$f":"h-a_tu","v":414},"mm","β2=(d0 - dcl)/(dtu - d0)",null,{"$f":"(d_0-d_cl)/(d_tu-d_0)","v":1},"Promień modelu",null,"Rs=",null,null,20,null,"Wsp. k1 (NEd1)",null,null,{"$f":"IF(N_Ed1>0,1.5, 2*AB7/(3*h))","v":1.5},"(-)",null,"słup, ściana",null,"AsminS=max ( 0,10*NEdmax/fyd; 0.002*b*h)",null,{"$f":"MAX(MAX(N_Ed1,N_Ed2)*0.1/f_yd, 0.002*b*h)","v":450},"mm²","słup i ściana (łączne)",null,"AsmaxS=0,4 *b*h",{"$f":"0.4*b*h","v":90000},"mm²","SmaxS=",{"$f":"IF(N_Ed1<0,400,300)","v":300},{"$f":"IF(N_Ed2<0,400,300)","v":400},"mm",null,12,null,"pełnego ściskania",null,"xC=dtu/(1-fyd/ssmax)",null,null,{"$f":"d_tl/(1-f_yd/s_smax)","v":1092.6885245901642},"mm"]
[null,"Maks naprężenia w stali ","σsmax=","εcu2*Es",{"$f":"e_cu2*E_s","v":700},"N/mm²",null,null," lub = acl = cu+Øl/2=",{"$f":"c_u+F_l/2","v":36},"mm"," lub = atl = cl+Øl/2=",{"$f":"c_l+F_l/2","v":36},"mm","β3=(d0 - dcu)/(dtl - dcu)",null,{"$f":"(d_0-d_cu)/(d_tl-d_cu)","v":0.5},"Odkształcenie plastyczne",null,"εyd=","fyd/Es",null,{"$f":"f_yd/E_s","v":2.1739130434782609E-3},"(-)","Wsp. k1 (NEd2)",null,null,{"$f":"IF(N_Ed2>0,1.5, 2*AB7/(3*h))","v":0.66666666666666663},"(-)",null,"słup",null,null,null,null,null,null,null,null,null,null,null,"dla NEd1 |","dla NEd2 |",null,null,null,null,"pełnego rozciągania",null,"xT=min{fyd*Asc/β4 ; fyd*Ast/β3}/1000",null,null,{"$f":"-MIN(f_yd*A_sc/beta4, f_yd*A_st/beta3)/1000","v":-196.69101831170877},"mm"]
[null,"Wytrz. max stal","Es","wg EC2",200000,"N/mm²",null,null,"dcl = acl =",{"$f":"a_cl","v":36},"mm","dtl = h-atl =",{"$f":"h-a_tl","v":414},"mm","β4=1-β3=",null,{"$f":"1-Q10","v":0.5},"Odkształcenie minimalne stali",null,"εud=","(2,5 lub 5,0 lub 7,5)%/γs ",null,{"$f":"IF(klasa=\"A\",2.5,IF(klasa=\"B\",5,7.5)/g_s)/100","v":2.5000000000000001E-2},"(-)","Prześwit między pretami",null,"smin=min{s-F}=",{"$f":"MIN(Kalkulator!G19-F_u,Kalkulator!G20-F_l)","v":61.599999999999994},"mm",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"maksymalny","xmax=min{fymax*dtl/(fymax-fynet) ; - fymax *dtl/β1*fynet *Asc/Ast +fcd-fymax}",null,null,null,{"$f":"MIN(s_smax*d_tl/(s_smax-f_ynet),-s_smax*d_tl/(beta1*f_ynet*A_sc/A_st + f_cd-s_smax))","v":-522.77647058823504},"mm"]
[null,"Odkszt max beton","εcu2","wg EC2",3.5000000000000001E-3,"(-)",null,null,null,null,"Nosność przekroju beton","FcA=","b·h·fcd",{"$f":"b*h*f_cd","v":5625000},"N"]
[null,null,null,null,null,null,null,null,"x=0",null,null,null,"N1=",41,"Δx1 =",{"$f":"(x_end-x_start)/N","v":7.5731707073170735},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,"0.75dtl","N2=",10,"Przyrost= ",{"$f":"(x_Nmax-x_end)/N_2","v":78.218852459016418},null,null,null,null,null,"Nmax"]
[null,"Wysokość strefy ściskanej","x :",null,null,"mm",null,-10,9.9999999999999995E-7,{"$f":"I14+Dx_1","v":7.5731717073170737},15.146342414634148,22.719513121951223,30.292683829268299,37.865854536585374,45.439025243902449,53.012195951219525,60.5853666585366,68.158537365853675,75.731708073170751,83.304878780487826,90.878049487804901,98.451220195121977,106.02439090243905,113.59756160975613,121.1707323170732,128.74390302439028,136.31707373170735,143.89024443902443,151.4634151463415,159.03658585365858,166.60975656097565,174.18292726829273,181.7560979756098,189.32926868292688,196.90243939024396,204.47561009756103,212.04878080487811,219.62195151219518,227.19512221951226,234.76829292682933,242.34146363414641,249.91463434146348,257.48780504878056,265.0609757560976,272.63414646341465,280.2073171707317,287.78048787804875,295.35365858536579,302.92682929268284,{"$f":"0.75*d_tl","v":310.5},{"$f":"AX14+Dx_2","v":388.71885245901643},466.93770491803286,545.15655737704924,623.37540983606561,701.59426229508199,779.81311475409836,858.03196721311474,936.25081967213112,1014.4696721311475,{"$f":"x_C","v":1092.6885245901642},"x :"]
[null,"Względna wysokość strefy","x ","= x/h",null,"(-)",null,{"$f":"H14/h","v":-2.2222222222222223E-2},2.2222222222222221E-9,1.6829270460704607E-2,3.3658538699186995E-2,5.0487806937669383E-2,6.7317075176151778E-2,8.4146343414634159E-2,0.10097561165311655,{"$f":"P14/h","v":0.11780487989159895},0.13463414813008134,0.15146341636856372,0.16829268460704611,0.18512195284552851,0.2019512210840109,0.21878048932249328,0.23560975756097566,0.25243902579945804,0.26926829403794045,0.28609756227642286,0.30292683051490521,0.31975609875338762,0.33658536699187003,0.35341463523035238,0.37024390346883479,0.3870731717073172,0.40390243994579955,0.42073170818428196,0.43756097642276437,0.45439024466124672,0.47121951289972913,0.48804878113821154,0.50487804937669389,{"$f":"AN14/h","v":0.5217073176151763},0.53853658585365871,0.55536585409214112,0.57219512233062342,0.58902439056910583,0.60585365880758812,0.62268292704607042,0.63951219528455272,0.65634146352303513,0.67317073176151743,0.69,0.86381967213114763,1.0376393442622953,1.2114590163934427,1.3852786885245902,1.5590983606557378,1.7329180327868852,1.9067377049180327,2.0805573770491801,2.2543770491803277,2.4281967213114761,"x "]
[null,"Siła beton (jeśli x<h)","Fc<  ","= FcA· 17/21·x",null,"N",null,null,{"$f":"17/21*I15*F_cA","v":1.011904761904762E-2},76633.285133565616,153266.56014808363,229899.83516260164,306533.11017711973,383166.38519163767,459799.66020615574,{"$f":"17/21*P15*F_cA","v":536432.9352206738},613066.21023519186,689699.4852497098,766332.76026422775,842966.03527874593,919599.31029326399,996232.58530778182,1072865.8603222999,1149499.1353368179,1226132.410351336,1302765.6853658541,1379398.9603803721,1456032.2353948902,1532665.510409408,1609298.7854239258,1685932.0604384441,1762565.3354529622,1839198.6104674803,1915831.8854819983,1992465.1604965162,2069098.4355110342,2145731.7105255523,2222364.9855400706,2298998.2605545884,2375631.5355691067,{"$f":"17/21*AO15*F_cA","v":2452264.8105836245},2528898.0855981428,2605531.3606126602,2682164.6356271785,2758797.9106416958,2835431.1856562137,2912064.460670731,2988697.7356852493,3065331.0106997667,3141964.2857142854,3933464.5784543334,4724964.8711943803,5516465.1639344264,6307965.4566744734,7099465.7494145213,7890966.0421545664,8682466.3348946124,9473966.6276346594,10265466.920374706,11056967.213114757,"Fc<  "]
[null,"Siła beton nieliniowa","FN","= 7/192(1- x2)/x2*FcA",null,null,null,{"$f":"IF(H15>1,7/192*(1/H15-1)^2,0)*F_cA","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(AN15>1,7/192*(1/AN15-1)^2,0)*F_cA","v":0},0,0,0,0,0,0,0,0,0,0,0,269.8426383041633,6248.1910505349924,15863.353638644196,26372.344849194989,36683.78256059494,46376.800063460207,55316.616618173677,63492.500031205273,70945.959204129729,"FN"]
[null,"Siła beton nadmiar (jeśli x>h)","ΔFc ","= FN·(21+20·x)",null,"N",null,null,{"$f":"I17*(21+20*I15)","v":0},{"$f":"J17*(21+20*J15)","v":0},{"$f":"K17*(21+20*K15)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11266.682169666225,282600.55974762351,772633.74089438445,1376160.8342536488,2041759.1999742542,2742480.6676215562,3463436.8445484973,4196063.1979639186,4935280.0538820354,"ΔFc "]
[null,"Siła beton","Fc ","= Fc< - ΔFc",null,"N",null,null,{"$f":"I16-I18","v":1.011904761904762E-2},{"$f":"J16-J18","v":76633.285133565616},153266.56014808363,229899.83516260164,306533.11017711973,383166.38519163767,459799.66020615574,536432.9352206738,613066.21023519186,689699.4852497098,766332.76026422775,842966.03527874593,919599.31029326399,996232.58530778182,1072865.8603222999,1149499.1353368179,1226132.410351336,1302765.6853658541,1379398.9603803721,1456032.2353948902,1532665.510409408,1609298.7854239258,1685932.0604384441,1762565.3354529622,1839198.6104674803,1915831.8854819983,1992465.1604965162,2069098.4355110342,2145731.7105255523,2222364.9855400706,2298998.2605545884,2375631.5355691067,2452264.8105836245,2528898.0855981428,2605531.3606126602,2682164.6356271785,2758797.9106416958,2835431.1856562137,2912064.460670731,2988697.7356852493,3065331.0106997667,3141964.2857142854,3933464.5784543334,4713698.1890247138,5233864.6041868031,5535331.7157800887,5723304.915160872,5849206.8421803117,5939985.6672730558,6010529.7830861621,6069403.7224107878,6121687.1592327217,"Fc "]
[null,"Odkszt stal ścisk, góra","εsc ","=  sgn(x)·εcu2·(x-dcu)/x",null,"(-)",null,{"$f":" SIGN(H14)*SIGN(1-d_cu/H14)*IF(ABS(e_cu2*(1-d_cu/H14))>e_ud,e_ud,(e_cu2*(1-d_cu/H14)))","v":-1.61E-2},-2.5000000000000001E-2,1.3137679016079996E-2,4.8188400572709133E-3,2.0458934935652668E-3,6.5942016594319872E-4,1.7246384527620141E-4,7.2705319219170121E-4,1.1231884429774991E-3,1.4202898827014635E-3,1.6513687812332084E-3,1.8362319006688607E-3,1.9874835442469608E-3,2.1135265808394335E-3,2.2201783812300277E-3,2.3115942102799538E-3,2.3908212622305203E-3,2.4601449327689975E-3,2.5213128774251191E-3,2.5756843838359742E-3,2.6243325738223044E-3,2.6681159448421203E-3,2.7077294710291253E-3,2.7437417675843811E-3,2.776622560109332E-3,2.8067632866056124E-3,2.8344927549949265E-3,2.8600891873651261E-3,2.8837895877171765E-3,2.9057971023377779E-3,2.9262868573362829E-3,2.9454106286742332E-3,{"$f":" SIGN(AN14)*SIGN(1-d_cu/AN14)*IF(ABS(e_cu2*(1-d_cu/AN14))>e_ud,e_ud,(e_cu2*(1-d_cu/AN14)))","v":2.9633006083182169E-3},2.980072464239065E-3,2.9958278440475657E-3,3.0106564368121065E-3,3.02463768142187E-3,3.0378421902228295E-3,3.0503329417938519E-3,3.0621662853897364E-3,3.0733927908545536E-3,3.0840579710479823E-3,3.094202898550725E-3,3.1758582733949479E-3,3.2301567239635997E-3,3.2688737330681065E-3,3.2978746065181891E-3,3.3204090216076968E-3,3.3384228251409544E-3,3.3531523243717277E-3,3.3654206785697404E-3,3.3757971741675574E-3,3.3846880907372401E-3,"εsc "]
[null,"Wartość bezwględna εsc ","| εsc | ",null,null,"N/mm²",null,{"$f":"ABS(H20)","v":1.61E-2},{"$f":"ABS(I20)","v":2.5000000000000001E-2},1.3137679016079996E-2,4.8188400572709133E-3,2.0458934935652668E-3,6.5942016594319872E-4,1.7246384527620141E-4,7.2705319219170121E-4,1.1231884429774991E-3,1.4202898827014635E-3,1.6513687812332084E-3,1.8362319006688607E-3,1.9874835442469608E-3,2.1135265808394335E-3,2.2201783812300277E-3,2.3115942102799538E-3,2.3908212622305203E-3,2.4601449327689975E-3,2.5213128774251191E-3,2.5756843838359742E-3,2.6243325738223044E-3,2.6681159448421203E-3,2.7077294710291253E-3,2.7437417675843811E-3,2.776622560109332E-3,2.8067632866056124E-3,2.8344927549949265E-3,2.8600891873651261E-3,2.8837895877171765E-3,2.9057971023377779E-3,2.9262868573362829E-3,2.9454106286742332E-3,2.9633006083182169E-3,2.980072464239065E-3,2.9958278440475657E-3,3.0106564368121065E-3,3.02463768142187E-3,3.0378421902228295E-3,3.0503329417938519E-3,3.0621662853897364E-3,3.0733927908545536E-3,3.0840579710479823E-3,3.094202898550725E-3,3.1758582733949479E-3,3.2301567239635997E-3,3.2688737330681065E-3,3.2978746065181891E-3,3.3204090216076968E-3,3.3384228251409544E-3,3.3531523243717277E-3,3.3654206785697404E-3,3.3757971741675574E-3,3.3846880907372401E-3,"| εsc | "]
[null,"Moduł stali ścisk.","Esc","= [ks+(1-ks)/(1+(εsc/εyd)Rs)(1/Rs)]*Es",null,"N/mm²",null,{"$f":"(k_s+(1-k_s)/(1+(H20/e_yd)^R_s)^(1/R_s))*E_s","v":35654.874426140967},{"$f":"(k_s+(1-k_s)/(1+(I20/e_yd)^R_s)^(1/R_s))*E_s","v":26521.739130434784},41439.60799737311,95714.294484667495,197545.18048535319,199999.99999958684,200000,199999.9999970879,199999.98254449799,199998.09289618631,199961.20015153734,199681.03092981287,198543.12304871634,195767.12130907684,191405.84459035311,186403.47954194996,181564.7333624289,177216.20893541715,173409.51280536136,170097.45941084271,167209.94979836105,164679.60052642546,162448.55386972788,160469.02211445922,158702.0223360497,157115.79821316359,155684.38839234918,154386.44643735964,153204.30314663076,152123.23158928959,151130.87288538399,150216.78669837804,{"$f":"(k_s+(1-k_s)/(1+(AN20/e_yd)^R_s)^(1/R_s))*E_s","v":149372.09773901675},148589.21612910277,147861.61474992117,147183.65076985696,146550.42162523247,145957.64804096174,145401.57841181566,144878.91016822477,144386.72473368357,143922.4334263489,143483.73222602758,140053.96075036837,137868.71047475652,136354.70175832874,135243.85315471014,134394.05842317143,133722.97307208311,133179.58876087156,132730.62244669453,132353.43257262907,132032.08095671583,"Esc"]
[null,"Napr. beton obok stali ścisk","σcs ","= fcd*(1-  jeśli εsc<εc2 [1 -(1-εsc/εc2)2])",null,"N/mm²",null,{"$f":"f_cd*(1- IF(H21<e_c2,(1-H21/e_c2)^2,0))","v":25},25,25,25,25,13.767785678251492,4.1256975198584538,14.872540153066637,20.195009334198609,22.899601124385732,24.240351708132383,24.832375060259164,24.99902086459614,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"f_cd*(1- IF(AN21<e_c2,(1-AN21/e_c2)^2,0))","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,"σcs "]
[null,"Napr. stal ścisk.","σsc","= Esc*εsc - σcs",null,"N/mm²",null,{"$f":"H22*H20+IF(H20>0,-H23,0)","v":-574.04347826086951},{"$f":"I22*I20+IF(I20>0,-I23,0)","v":-663.04347826086962},519.42026842166945,436.23187631614019,379.15639944016038,118.11624751011581,30.367071535381825,130.53809828315636,204.44265965548308,261.15566677565511,305.96933168004148,341.82830389150871,369.60216901812703,388.75901454115177,399.95511820057641,405.88920408520931,409.0888249941101,410.97755841699842,412.21963770417369,413.11736993468105,413.81451792303113,414.38426795478659,414.86673683912466,415.28555837886347,415.6556155532507,415.98685417044328,416.28627096393001,416.55900613121753,416.80897420771964,417.03924555041641,417.25228706225954,417.45012014669288,417.63442809579647,417.80663146920631,417.96794253364806,418.11940558377501,418.26192747594064,418.39630120452807,418.52322441838311,418.64331418114614,418.75711889160397,418.86512802115391,418.9677801486506,419.7915299707887,420.33754216422551,420.72630295813639,421.01726900659344,421.24324403877029,421.42382554955151,421.57144761238726,421.69438146153868,421.79834367005753,421.88741200945123,"σsc"]
[null,"Siła stal ścisk","Fsc ","= σsc·Asc",null,"N",null,{"$f":"H24*A_sc","v":-389536.7272154236},-449930.70438803389,352470.29027021752,296019.97730563907,257289.47115323725,80151.797256632679,20606.609270863712,88581.066605268425,138731.52045326919,177216.06042412028,207625.89700003614,231959.22227163857,250806.12313065139,263805.65224544663,271403.1491985867,275429.92501270841,277601.13660971017,278882.80091563222,279725.65606300568,280334.84280274023,280807.916282452,281194.53954550746,281521.93521727383,281806.1408185141,282057.25570101413,282282.02893118729,282485.20838052366,282670.28210487566,282839.90644539421,282996.1648972407,283140.73146132013,283274.97782969376,{"$f":"AN24*A_sc","v":283400.04625745665},283516.90071366739,283626.36382314592,283729.14422754885,283825.85730509995,283917.0411691101,284003.16923293303,284084.66022609,284161.88628323073,284235.17955182033,284304.83764445805,284863.82110461703,285234.33625008207,285498.1431097794,285695.58801863913,285848.93106285116,285971.47078914236,286071.64476097468,286155.06570568692,286225.61279836221,286286.05314955488,"Fsc "]
[null,"Odkszt stal rozciąg., dół","εst ","= εcu2·(dtl-x)/x",null,"(-)",null,{"$f":"SIGN(e_cu2*(d_tl/H14-1))*IF(ABS(e_cu2*(d_tl/H14-1))>e_ud, e_ud, ABS(e_cu2*(d_tl/H14-1)))","v":-2.5000000000000001E-2},{"$f":"SIGN(e_cu2*(d_tl/I14-1))*IF(ABS(e_cu2*(d_tl/I14-1))>e_ud, e_ud, ABS(e_cu2*(d_tl/I14-1)))","v":2.5000000000000001E-2},2.5000000000000001E-2,2.5000000000000001E-2,2.5000000000000001E-2,2.5000000000000001E-2,2.5000000000000001E-2,2.5000000000000001E-2,2.3833332905758762E-2,2.0416666348933171E-2,1.7759259015818107E-2,1.5633333142308102E-2,1.3893939241159949E-2,1.244444432034651E-2,1.1217948615854683E-2,1.0166666581780535E-2,9.2555554843490161E-3,8.4583332731565323E-3,7.7549019096111284E-3,7.1296295858862945E-3,6.5701754010434998E-3,6.0666666343156175E-3,5.6111110831650575E-3,5.1969696727796168E-3,4.818840558742681E-3,4.472222204035454E-3,4.1533333175583446E-3,3.8589743453010497E-3,3.586419741252473E-3,3.3333333231155564E-3,3.0977011406327472E-3,2.8777777702463157E-3,{"$f":"SIGN(e_cu2*(d_tl/AN14-1))*IF(ABS(e_cu2*(d_tl/AN14-1))>e_ud, e_ud, ABS(e_cu2*(d_tl/AN14-1)))","v":2.6720430043405074E-3},2.4791666612507535E-3,2.2979797934529981E-3,2.1274509766607773E-3,1.9666666636484922E-3,1.8148148124374596E-3,1.6711711693707025E-3,1.535087718018031E-3,1.4059829051726372E-3,1.2833333329482029E-3,1.1666666666666663E-3,2.2762985595809637E-4,-3.9680232558139607E-4,-8.4204793028322476E-4,-1.1755579749591729E-3,-1.4347037484885128E-3,-1.6418624891209751E-3,-1.8112517302748667E-3,-1.9523378035520118E-3,-2.0716675029269112E-3,-2.1739130434782613E-3,"εst "]
[null,"Moduł stali rozciąg.","Est","= [ks+(1-ks)/(1+(εst/εyd)Rs)(1/Rs)]*Es",null,"N/mm²",null,{"$f":"(k_s+(1-k_s)/(1+(H26/e_yd)^R_s)^(1/R_s))*E_s","v":26521.739130434784},26521.739130434784,26521.739130434784,26521.739130434784,26521.739130434784,26521.739130434784,26521.739130434784,26521.739130434784,27330.49590227758,30230.701290882011,33257.922973755449,36420.691896026969,39728.320463447366,43190.994119805626,46819.876111493497,50627.227709136743,54626.546614010731,58832.726841312411,63262.244071556051,67933.371332155541,72866.430961669641,78084.090182136672,83611.709342239716,89477.754097475132,95714.285564826088,102357.54580462906,109448.65906262871,117034.46753563023,125168.49173654261,133911.84349857329,143333.1165132843,153502.39368132551,{"$f":"(k_s+(1-k_s)/(1+(AN26/e_yd)^R_s)^(1/R_s))*E_s","v":164455.93188653188},176025.81104357325,187200.26031463023,195306.45074891738,198802.24249642022,199746.81780549316,199950.78278238917,199990.97748500484,199998.44244402924,199999.74900578713,199999.96269086876,200000,200000,199999.9999450944,199999.95657295902,199997.66617179298,199965.42312980306,199756.44589118843,198956.14925380488,196954.18197639482,193527.90249572066,"Est"]
[null,"Napr. stal rozc., dół","σst ","= Est*εst",null,"N/mm²",null,{"$f":"H27*H26","v":-663.04347826086962},{"$f":"I27*I26","v":663.04347826086962},663.04347826086962,663.04347826086962,663.04347826086962,663.04347826086962,663.04347826086962,663.04347826086962,651.37680731845728,617.21014175020127,590.63606841905062,569.37680968395057,551.98287067246918,537.4879214643347,525.22296441941626,514.71014407867403,505.59903310435419,497.62681099240217,490.59249735679532,484.33977411873599,478.7452322661963,473.71014457886025,469.15458897261664,465.01317443301036,461.23188133086308,457.76568909803808,454.57676224689988,451.63300773596563,448.90674974673345,446.37281029362964,444.00315851364724,441.74577621571706,439.43332231970646,436.39732225885149,430.18241553216143,415.50489939393429,390.97774297627325,362.50348369065551,334.15198347903265,307.0036932516515,281.19439113745869,256.66634448040082,233.33328980601348,45.52597119161927,-79.360465116279215,-168.4095860104118,-235.11154394083024,-286.93740134562563,-328.31572735802746,-361.80920825397283,-388.42961143733964,-408.02357836605029,-420.71283151243631,"σst "]
[null,"Siła stal rozc","Fst ","= σst·Ast",null,"N",null,{"$f":"H28*A_st","v":-149976.90146267795},149976.90146267795,149976.90146267795,149976.90146267795,149976.90146267795,149976.90146267795,149976.90146267795,149976.90146267795,147337.96266651165,139609.6449871354,133598.73121131223,128790.00017477949,124855.58386166646,121576.90359352331,118802.63566920179,116424.69173033086,114363.8069805174,112560.5328222994,110969.40856337122,109555.07588731877,108289.62033326074,107150.71033007324,106120.26792823042,105183.50202872744,104328.19367931159,103544.15946738233,102822.84120725961,102156.97962398197,101540.31459488708,100967.15099381021,100431.14838891398,99920.540542580464,{"$f":"AN28*A_st","v":99397.475794234473},98710.748759135909,97304.969976433204,93984.994041591606,88437.081963699238,81996.35625095549,75583.397986573458,69442.59940879124,63604.672806822848,58056.559361522952,52778.74673466073,10297.73207830548,-17950.914302023572,-38093.350910717381,-53180.978343743962,-64903.711111744575,-74263.267953069735,-81839.314846931084,-87860.70818843646,-92292.759092606604,-95163.000534030987,"Fst "]
[null,"Moment beton  (jeśli x<h)","Mc< ","= FcA·h·(17/42·x - 33/98·x2)",null,"Nmm",null,null,{"$f":"F_cA*h*(17/42*I15-33/98*I15^2)","v":2.2767857100765307},17001080.139697578,33519340.099407542,49554782.155915603,65107406.309221782,80177212.559326038,94764200.906228393,108868371.34992886,122489723.89042741,135628258.52772406,148283975.2618188,160456874.09271166,172146955.02040261,183354218.04489163,194078663.16617876,204320290.38426399,214079099.69914731,223355091.11082879,232148264.61930829,240458620.22458592,248286157.92666161,255630877.72553542,262492779.62120736,268871863.61367738,274768129.70294547,280181577.88901174,285112208.17187595,289560020.55153841,293525015.02799892,297007191.6012575,300006550.2713142,302523091.03816903,{"$f":"F_cA*h*(17/42*AO15-33/98*AO15^2)","v":304556813.90182185},306107718.8622728,307175805.91952193,307761075.07356912,307863526.32441437,307483159.67205787,306619975.11649919,305273972.65773886,303445152.29577655,301133514.03061223,249012001.26411256,145385327.00777146,-9746508.7384103481,-216383505.97443387,-474525664.70029783,-784172984.91600358,-1145325466.6215498,-1557983109.8169377,-2022145914.5021665,-2537813880.6772389,"Mc< "]
[null,"Moment beton nadmiar (jeśli x>h)","ΔMc ","= - FN·h·(7+8·x+9·x2)",null,"Nmm",null,{"$f":"-H17*h*(7+8*H15+9*H15^2)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"-AN17*h*(7+8*AN15+9*AN15^2)","v":0},0,0,0,0,0,0,0,0,0,0,0,-3034682.1638960852,-84070447.160095483,-252369162.02417028,-490721937.21065164,-790560268.28293312,-1147298630.5896914,-1558342025.3204143,-2022155597.8546174,-2537798856.2668686,"ΔMc "]
[null,"Moment beton","Mc","= Mc< - ΔMc",null,"Nmm",null,{"$f":"H30-H31","v":0},{"$f":"I30-I31","v":2.2767857100765307},17001080.139697578,33519340.099407542,49554782.155915603,65107406.309221782,80177212.559326038,94764200.906228393,108868371.34992886,122489723.89042741,135628258.52772406,148283975.2618188,160456874.09271166,172146955.02040261,183354218.04489163,194078663.16617876,204320290.38426399,214079099.69914731,223355091.11082879,232148264.61930829,240458620.22458592,248286157.92666161,255630877.72553542,262492779.62120736,268871863.61367738,274768129.70294547,280181577.88901174,285112208.17187595,289560020.55153841,293525015.02799892,297007191.6012575,300006550.2713142,302523091.03816903,304556813.90182185,306107718.8622728,307175805.91952193,307761075.07356912,307863526.32441437,307483159.67205787,306619975.11649919,305273972.65773886,303445152.29577655,301133514.03061223,249012001.26411256,148420009.17166755,74323938.421685129,35985656.04973641,16196272.510353804,6387283.3669295311,1973163.9681415558,358915.50347661972,9683.3524508476257,-15024.410370349884,"Mc"]
[null,"Moment stal ścisk.","Msc ","= Fsc*(d0-acu)","Nmm","Nmm",null,{"$f":"H25*(d_0-a_cu)","v":-73622441.443715066},-85036903.129338399,66616884.86107111,55947775.710765786,48627710.047961839,15148689.681503577,3894649.1521932413,16741821.588395732,26220257.365667876,33493835.420158733,39241294.533006832,43840293.00933969,47402357.27169311,49859268.274389416,51295195.198532887,52056255.827401891,52466614.819235221,52708849.373054489,52868148.995908074,52983285.289717905,53072696.17738343,53145767.97410091,53207645.75606475,53261360.614699163,53308821.327491671,53351303.467994399,53389704.383918971,53424683.317821503,53456742.318179503,53486275.165578492,53513598.246189505,53538970.809812121,{"$f":"AN25*(d_0-a_cu)","v":53562608.742659308},53584694.234883137,53605382.762574576,53624808.259006731,53643087.030663893,53660320.780961812,53676598.98502434,53692000.782731012,53706596.507530607,53720448.93529404,53733614.314802572,53839262.188772619,53909289.551265508,53959149.047748305,53996466.135522798,54025447.970878869,54048607.979147904,54067540.859824218,54083307.418374829,54096640.81889046,54108064.045265868,"Msc "]
[null,"Moment stal rozc.","Mst ","= Fst*(d0-atl)","kNm","Nmm",null,{"$f":"H29*(d_0-a_tl)","v":-28345634.376446132},28345634.376446132,28345634.376446132,28345634.376446132,28345634.376446132,28345634.376446132,28345634.376446132,28345634.376446132,27846874.943970703,26386222.90256859,25250160.198938012,24341310.033033323,23597705.349854961,22978034.779175907,22453698.141479138,22004266.737032533,21614759.519317787,21273940.703414585,20973218.21847716,20705909.342703249,20466738.24298628,20251484.252383843,20056730.63843555,19879681.883429486,19718028.605389889,19569846.13933526,19433516.988172065,19307669.148932591,19191119.458433658,19082791.537830129,18981487.045504741,18884982.162547708,{"$f":"AN29*(d_0-a_tl)","v":18786122.925110314},18656331.515476689,18390639.325545877,17763163.873860814,16714608.491139157,15497311.331430588,14285262.219462384,13124651.288261544,12021283.160489518,10972689.719327837,9975183.1328508779,1946271.3627997357,-3392722.8030824549,-7199643.3221255848,-10051204.906967608,-12266801.400119724,-14035757.643130179,-15467630.506069975,-16605673.847614491,-17443331.468502648,-17985807.100931857,"Mst "]
[null,"Nośność  siła osiowa","NRd=Fc + Fsc - Fst",null,null,"kN",0,{"$f":"(H19+H25-H29)/1000","v":-239.55982575274564},-599.90759573166417,279.12667394110514,299.30963599104467,337.21240485316093,236.70800597107447,253.79609299982343,398.40382534874612,527.8264930074314,650.67262567217676,763.72665103843383,869.5019823610869,968.91657454773087,1061.8280589451874,1148.8330988371667,1231.8710936046773,1312.7364649660105,1392.4546784446686,1471.5219328654885,1550.1787272957936,1628.5505313440813,1706.7093396248422,1784.7004527129693,1862.5546992282309,1940.2943974746647,2017.9364799312852,2095.4942526552622,2172.9784629774103,2250.3980273615412,2327.7607244289829,2405.0745686124769,2482.3526978417017,{"$f":"(AN19+AN25-AN29)/1000","v":2559.6341060323293},2637.0709625381555,2715.219479444856,2795.2755107986177,2877.5534109685796,2960.7185955598502,3043.8509569025728,3126.7065214880295,3209.2549491616574,3291.5096308900638,3373.4903766240827,4208.0306674806452,5016.883439576819,5557.4560982073008,5874.2082821424719,6074.0575573354681,6209.4415809225238,6307.8966268809618,6384.5455569802862,6447.9220943017563,6503.1362129163072,"NRd"]
[null,"Nośność moment","MRd=Mc+Msc+Mst",null,null,"kNm",{"$f":"(G32+G33+G34)/1000000","v":0},-101.96807582016119,-56.691266476106556,111.96359937721482,117.81275018661945,126.52812658032357,108.60173036717148,112.41749608796542,139.85165687107028,162.93550365956744,182.36978221315474,200.11971325966888,216.46557830419181,231.45693671425974,244.98425807396794,257.10311138490363,268.13918573061318,278.40166472281703,288.06188977561635,297.19645832521405,305.83745925172946,313.99805464495563,321.68341015314633,328.8952541200357,335.633822119336,341.89871354655889,347.68927931027514,353.00479926110279,357.84456063863001,362.20788232815158,366.09408173140753,369.50227689295178,372.43050324367402,374.87182270593871,376.79783965218166,378.10374095039322,378.56377805238952,378.11877059537221,377.02115843680679,375.44502087654462,373.43662718749169,371.00185232575899,368.13829095039847,364.84231147826569,304.79753481568491,198.93657591985058,121.08344414730784,79.930917278291602,57.954919081112948,46.400133702947258,40.573074321895803,37.836549074236956,36.662992702838658,{"$f":"(BH32+BH33+BH34)/1000000","v":36.107232533963668},"MRd"]
[null,null,null,null,null,null,null,null,"Znaczniki",null,null,"Zamknięcie wykresu",null,null,"10% FcA",null,null,null,"Min M"]
[null,null,null,null,null,null,null,null,{"$f":"Kalkulator!E53","v":1500},{"$f":"Kalkulator!I53","v":-500},null,0,{"$f":"BH35","v":6503.1362129163072},null,{"$f":"BH36","v":36.107232533963668},{"$f":"(O38+Q38)/2","v":207.3355052931766},{"$f":"MAX(G36:BH36)","v":378.56377805238952},null,0,{"$f":"(S38+U38)/2","v":65.031362129163071},{"$f":"MIN(20,0.05*h)/1000*U39","v":130.06272425832614}]
[null,null,null,null,null,null,null,null,{"$f":"Kalkulator!F53","v":320},{"$f":"Kalkulator!J53","v":50},null,0,{"$f":"BH36","v":36.107232533963668},null,{"$f":"0.1*F_cA/1000","v":562.5},{"$f":"O39","v":562.5},{"$f":"O39","v":562.5},null,0,{"$f":"(S39+U39)/2","v":3251.5681064581536},{"$f":"M38","v":6503.1362129163072}]
[null,null,null,null,null,null,null,0,1,2]
[null,null,null,null,"Przyrost N","ΔN =","Ni+1-Ni",{"$f":"I35-H35","v":-360.34776997891856},879.03426967276937,20.182962049939533,37.902768862116261,-100.50439888208646,17.088087028748959,144.6077323489227,129.42266765868527,122.84613266474537,113.05402536625706,105.77533132265307,99.414592186643972,92.911484397456547,87.005039891979322,83.037994767510554,80.865371361333246,79.718213478658072,79.067254420819836,78.656794430305126,78.371804048287686,78.158808280760923,77.991113088127122,77.854246515261593,77.739698246433818,77.642082456620528,77.557772723976996,77.484210322148101,77.419564384130808,77.362697067441786,77.313844183493984,77.27812922922476,77.281408190627644,{"$f":"AO35-AN35","v":77.436856505826199},78.148516906700479,80.056031353761682,82.277900169961868,83.165184591270645,83.132361342722561,82.855564585456705,82.548427673627884,82.254681728406467,81.98074573401891,834.54029085656248,808.85277209617379,540.57265863048178,316.75218393517116,199.84927519299617,135.38402358705571,98.45504595843795,76.648930099324389,63.376537321470096,55.214118614550898]
[null,null,null,null,"Przyrost M","ΔM =","Mi+1-Mi",{"$f":"I36-H36","v":45.276809344054634},168.65486585332138,5.8491508094046338,8.7153763937041191,-17.926396213152088,3.8157657207939337,27.434160783104858,23.083846788497169,19.434278553587291,17.749931046514149,16.345865044522924,14.991358410067932,13.527321359708196,12.118853310935691,11.036074345709551,10.262478992203853,9.6602250527993192,9.1345685495977023,8.6410009265154031,8.1605953932261741,7.6853555081906961,7.2118439668893757,6.7385679993003009,6.2648914272228922,5.7905657637162449,5.3155199508276496,4.8397613775272248,4.3633216895215696,3.8861994032559437,3.4081951615442563,2.928226350722241,2.441319462264687,{"$f":"AO36-AN36","v":1.9260169462429531},1.3059012982115519,0.46003710199630632,-0.44500745701731148,-1.0976121585654255,-1.5761375602621683,-2.008393689052923,-2.4347748617327056,-2.8635613753605185,-3.2959794721327853,-60.044776662580773,-105.86095889583433,-77.853131772542739,-41.152526869016242,-21.975998197178654,-11.55478537816569,-5.8270593810514555,-2.7365252476588466,-1.1735563713982984,-0.5557601688749898]

{"sheet":"Komentarze","index":2,"n_rows":30,"n_cols":4,"rows_kept":30,"cut":false,"hidden":false,"merged":[[3,1,10,3],[13,1,19,3]]}
[null,"Komentarze:"]
[]
[null,"Do wydania angielskiego RCC12 (1999)"]
[null,"All advice or information from the British Cement Association and/or Reinforced Concrete Council is intended for those who will evaluate the significance and limitations of its contents and take responsibility for its use and application.  No liability (including that for negligence) for any loss resulting from such advice or information is accepted by the BCA, RCC or their subcontractors, suppliers or advisors.  Users should note that all BCA software and publications are subject to revision from time to time and should therefore ensure that they are in possession of the latest version.\n\nThis spreadsheet should be used in compliance with the accompanying publication 'Spreadsheets for concrete design to BS 8110 & EC2' available from British Cement Association, Telford Avenue, Crowthorne, Berkshire RG45 6YS. "]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Do wydania polskiego CHP-Ż01 (2017)"]
[null,"Wydanie polskie NIE jest tłumaczeniem wydania angielskiego, lecz oryginalnym kalkulatorem, w którym wykorzystano jedynie strukturę wydania angielskiego. Arkusz jest zaimplementowany dla nieliniowego modelu betonu opisanego w normie  Eurokod2 (wydanie polskie PN-EN 1992-1) , a także dla modelu stali ze wzmocnieniem plastycznym. \nTeorię zaimplementowaną w arkuszu opublikowana w artykule:\nhttp://chodor-projekt.net/encyclopedia/nowy-algorytm-projektowania-zelbetu/ \n                                                           "]
[]
[]
[]
[]
[]
[]
[]
[null,"Status arkusza"]
[null,"Wersja publiczna (free)"]
[]
[null,"Historia rewizji   Kalkulator żelbetu M-N"]
[]
[null,"Data","Wersja","Zdarzenie"]
[null,{"$f":"DATE(99,8,3)","v":"1999-08-03"},"RCC12 v1.0","First public release. \n Includes b version comments"]
[null,{"$f":"DATE(17,6,25)","v":"1917-06-25"},"LCH-Ż01, v1.0","Publiczne wydanie kalkulatora żelbetu,wersja Chodor-Projekt: wg EN 1992 oraz  stal ze wzmocnieniem"]
[null,{"$f":"DATE(18,3,30)","v":"1918-03-30"},"LCH-Ż01, v1.2","Rewizja arkusza - wprowadzon drobne proprawki edycyjne i stylistyczne. Dodano kilka warunków konstrukcyjnych"]

{"sheet":"Robol","index":3,"n_rows":20,"n_cols":22,"rows_kept":20,"cut":false,"hidden":true,"merged":[]}
[]
[]
[null,{"$f":"\"Wykres interakcji M-N dla  przekroju \"&FIXED(Kalkulator!C14,0)&\" x \"&FIXED(Kalkulator!C15,0)&\"  z betonu C\"&FIXED(Kalkulator!C10,0)&G4","v":"Wykres interakcji M-N dla  przekroju 450 x 500  z betonu C35"}]
[]
[null,"Rysunek przekroju"]
[null,"wsp. kształtu",null,{"$f":"MAX(1,Kalkulator!C15/Kalkulator!C14)","v":1.1111111111111112},{"$f":"MIN(1,Kalkulator!C15/Kalkulator!C14)","v":1},null,"odstęp",{"$f":"(L7-C7)/(Kalkulator!D19-1)","v":82},{"$f":"(L7-C7)/(Kalkulator!D20-1)","v":410}]
[null,{"$f":"B10+15","v":45},{"$f":"B7","v":45},{"$f":"MIN($L7,C7+$H6)","v":127},209,291,373,455,455,455,455,{"$f":"D10-15","v":455},{"$f":"L7","v":455},{"$f":"MAX($V7,M7-$I6)","v":45},45,45,45,45,45,45,45,{"$f":"B7","v":45}]
[null,{"$f":"B11+15","v":45},{"$f":"C11-15","v":405},{"$f":"C8","v":405},405,405,405,405,405,405,405,{"$f":"C8","v":405},{"$f":"B8","v":45},{"$f":"M8","v":45},45,45,45,45,45,45,45,{"$f":"B8","v":45}]
[]
[null,{"$f":"c_r","v":30},{"$f":"B10","v":30},{"$f":"D12-Kalkulator!F16","v":470},{"$f":"D10","v":470},{"$f":"B10","v":30}]
[null,{"$f":"Kalkulator!F15","v":30},{"$f":"C13-Kalkulator!F14","v":420},{"$f":"C11","v":420},{"$f":"F11","v":30},{"$f":"B11","v":30}]
[null,0,0,{"$f":"b","v":500},{"$f":"b","v":500},0]
[null,0,{"$f":"h","v":450},{"$f":"h","v":450},0,0]
[]
[null,"Element"]
[null,"płyta "]
[null,"belka "]
[null,"ściana"]
[null,"słup"]
[null,4]