POMOC / PRAKTYCZNE PROGRAMYDziała lokalnie w przeglądarce

Zgodnie z PN-B-02852:2001

Względny czas trwania pożaru.

Wpisz gęstość obciążenia ogniowego. Sprawdź czas na wykresie
i wybierz metodę: wielomian w trzech zakresach lub interpolację liniową.

Obliczanie gęstości obciążenia ogniowego oraz wyznaczanie względnego czasu trwania pożaru

01 / Dane wejściowe

MJ/m²

Obie metody korzystają z ponownego odczytu PDF. Dokładność nadal ograniczają cechy skanu.

Podaj liczbę nieujemną, np. 3000 lub 3000,5. Wpisywanie i wklejanie wartości ujemnych jest zablokowane.

Względny czas trwania pożaru

—h

—

Wielomian w trzech zakresach.

Wynik przybliżony — dokładność ogranicza odczyt punktów ze skanu. Zapis w godzinach i minutach jest zaokrąglony do pełnej minuty.

Odczyt z nomogramu

Q → t
Wielomian w 3 zakresachStałe 8 hTwój wynik

03 / Sposób obliczenia

Interpolacja liniowa między punktami PDF

Łączymy nowe punkty odczytane z PDF odcinkami prostymi. Pierwsze trzy odcinki są współliniowe: t = Q / 920. Druga metoda korzysta z wielomianów w trzech zakresach.

Q podajesz w MJ/m², a t otrzymujesz w godzinach. Dla wielomianów: u = (Q − 2 760) / 1 000 w zakresie środkowym oraz v = (Q − 4 410) / 1 000 w ostatnim zakresie.

Obie metody wyznaczają 8 h od Q = 5 900 MJ/m². Są matematycznymi odwzorowaniami przybliżonych odczytów, a nie wzorami opublikowanymi w normie.

Podstawienie dla wpisanej wartości

—

—

Wielomian w 3 zakresach—
Interpolacja liniowa—

—

Obie metody poprawiono na podstawie oryginalnego PDF. Wykres ma około 2 705 × 2 695 pikseli, wobec 369 × 368 w poprzednim obrazku — około 7,3 razy większą rozdzielczość w każdej osi. Sprawdzono 9 znaczników i 1 664 przekroje linii, w tym 841 w pierwszym zakresie. Wartości Q odczytano po globalnej kalibracji siatki i zaokrąglono do 10 MJ/m². Pierwszy zakres kończy się przy przyjętym Q = 2 760; w obu metodach ma wzór t = Q / 920. Wielomiany stopni 1, 3 i 2 przechodzą przez wszystkie 9 nowych punktów. Ich maksymalna różnica względem nowej interpolacji wynosi około 27,71 s, w zakresie środkowym. To różnica modeli, nie błąd wobec normy. Skala nowego rastra to około 2,59 MJ/m² i 12 s na piksel; grubość linii, nierówności siatki oraz zaokrąglenie nadal ograniczają odczyt.

Wielomiany w trzech zakresach — nowe punkty PDF

Q w MJ/m²; wynik t w godzinach. Zmienne u i v są wartościami liczbowymi opisanymi w tabeli.

Trzy rosnące zakresy i stała wartość od 5 900 MJ/m²
Zakres Q [MJ/m²]Wzór na t(Q)
0 ≤ Q < 2 760Q / 920
2 760 ≤ Q < 4 410u = (Q − 2 760) / 1 000
t = 3 + 1,8673381173381183 u
− 0,11916678583345465 u²
+ 0,054166720833388478 u³
4 410 ≤ Q < 5 900v = (Q − 4 410) / 1 000
t = 6 + 1,3602998972126488 v
− 0,012092629542293953 v²
Q ≥ 5 9008

Model jest ciągły, rośnie do 8 h i trafia wszystkie dziewięć przyjętych punktów. Wartości na granicach: t(2 760) = 3 h, t(4 410) = 6 h, t(5 900) = 8 h. Większa liczba cyfr współczynników zapewnia poprawne obliczenia, a nie dodatkową dokładność normową.

Przykład po korekcie PDF: Q = 3 000 MJ/m²

Interpolacja liniowa: t = 3 + (3 000 − 2 760) / 550 ≈ 3,4364 h, czyli około 3 godz. 26 min.

Wielomian środkowy: u = 0,24; t ≈ 3,4420 h, czyli około 3 godz. 27 min. Różnica metod wynosi około 20,46 s; zaokrąglenie do pełnej minuty może dać różne zapisy minutowe.

W pierwszym zakresie oba sposoby dają ten sam wynik: np. dla Q = 1 840 MJ/m² otrzymujemy dokładnie 2 h w przyjętym modelu.

Wzór interpolacji liniowej i przyjęte punkty nomogramu
t(Q) w godzinach; Q jako wartość liczbowa w MJ/m²
Przedział QWzór na t(Q)
0 ≤ Q < 9200 + (Q − 0) / 920
920 ≤ Q < 18401 + (Q − 920) / 920
1840 ≤ Q < 27602 + (Q − 1840) / 920
2760 ≤ Q < 33103 + (Q − 2760) / 550
3310 ≤ Q < 38704 + (Q − 3310) / 560
3870 ≤ Q < 44105 + (Q − 3870) / 540
4410 ≤ Q < 51506 + (Q − 4410) / 740
5150 ≤ Q < 59007 + (Q − 5150) / 750
Q ≥ 5 9008
Punkty odczytane z oryginalnego PDF; Q zaokrąglone do 10 MJ/m²
PunktQ [MJ/m²]t [h]
000
19201
218402
327603
433104
538705
644106
751507
859008

W Q = 0 przyjęto t = 0 zgodnie z początkiem wykresu. Ujemna gęstość nie należy do dziedziny. Na granicach przedziałów wzór jest ciągły; powyżej 5 900 MJ/m² nie przedłużamy rosnącej krzywej.

Analiza oryginalnego PDF: 9 punktów i 1 664 przekroje linii

1. Źródło i kalibracja siatki

PN-B-02852:2001, rozdział 3, rysunek 1, strona drukowana 4 (strona 6 pliku PDF). Wbudowana bitmapa ma 4 958 × 7 017 pikseli; obszar wykresu około 2 705 × 2 695. Wykorzystano bitmapę w jej oryginalnej rozdzielczości.

Osiem pionowych linii siatki Q = 0, 1 000, …, 7 000 dopasowano globalnie metodą najmniejszych kwadratów: x ≈ 1 079,5 + 0,386428571 Q. Reszta RMS położeń siatki wynosi około 1,34 px. Globalna kalibracja uśrednia nierówności rastra. Lokalna kalibracja pojedynczych komórek zmienia odczyt części punktów o maksymalnie około 7 MJ/m²; dlatego przyjęto zaokrąglenie Q do 10 MJ/m².

Współrzędne pikselowe są liczone od lewego górnego rogu bitmapy. Znaczniki czasu opisują wartości 0, 1, …, 8 h. Podwyższona rozdzielczość ułatwia lokalizację punktów, lecz nie usuwa grubości linii i nierówności skanu.

2. Nowe punkty obu metod

Wszystkie nowe węzły wykorzystują tę samą kalibrację. Q = 0 przyjęto dla początku wykresu. Q = 5 900 i t = 8 h przyjęto zgodnie z zapisem pod wykresem. Środek ostatniego znacznika w rastrze wypada około 5 885 MJ/m²; tekst normy wyznacza granicę 5 900, więc odczyt piksela jej nie zastępuje. Wartości Q w tabeli są odczytami pomocniczymi, a nie tabelą opublikowaną w normie.

Porównanie odczytu PDF z wcześniejszym obrazkiem
t punktu [h]Q odczyt PDF [MJ/m²]Q przyjęte [MJ/m²]Q poprzednie [MJ/m²]t wielomianu [h]Środek znacznika x / y [px]
01,5000,00001080,10 / 4723,04
1919,69209301,00001434,87 / 4423,30
21838,4184018402,00001789,90 / 4123,50
32755,8276027703,00002144,43 / 3823,62
43312,3331033204,00002359,45 / 3523,41
53868,4387038705,00002574,34 / 3228,46
64412,8441044206,00002784,73 / 2928,67
75149,9515051607,00003069,57 / 2628,66
85885,3590059008,00003353,76 / 2329,19

3. Kontrola linii między znacznikami

Przeanalizowano 1664 przekroje linii. W obszarze wykresu uśredniono jasność w otoczeniu piksela, aby oddzielić ciemną linię od rastrowego tła. Dla wybranych kolumn wyznaczono ważony środek linii w pasie 27 pikseli, pomijając otoczenie znaczników i główne linie siatki. Następnie sprawdzono nachylenia i reszty dopasowania prostych.

Kontrola trzech głównych części obrazu; reszty opisują kształt rastra
Zakres czasuLiczba przekrojówRMS [px]Największa reszta [px]
0–3 h8410,4000,945
3–6 h4041,4163,454
6–8 h4190,4551,117

Pierwszy zakres jest praktycznie prosty, więc obie metody mają wspólny wzór t = Q / 920. W środkowej części widoczne są niewielkie różnice nachyleń odcinków. Interpolacja zachowuje odcinki między punktami, a wielomian trzeciego stopnia przechodzi przez cztery ich węzły. Ostatni wielomian drugiego stopnia przechodzi przez punkty 6, 7 i 8 h. Wszystkie wielomiany są rosnące i ciągłe na granicach zakresów.

4. Porównanie obliczeń

Nowa interpolacja względem poprzedniej zmienia wynik maksymalnie o około 65,45 s. Nowe wielomiany względem nowej interpolacji różnią się maksymalnie o około 27,71 s, przy Q ≈ 4 158,52 MJ/m²; w pierwszym zakresie dają ten sam wynik. Obie metody trafiają wszystkie dziewięć nowych węzłów. To porównanie modeli matematycznych; nie określa dokładności normowej. Liczba cyfr współczynników służy obliczeniom.

Pełna tabela 1664 przekrojów linii PDF

Podano kolumnę x, środek linii y oraz Q z globalnej kalibracji, zaokrąglone do 10 MJ/m². Większa liczba cyfr y dokumentuje środek jasności rastra; nie jest deklaracją dokładności normy. Przekroje pochodzą z tego samego obrazu.

Techniczna dokumentacja kontroli obrazu PDF
OdczytOdcinekx [px]y [px]Q z osi [MJ/m²]
10–1 h11124695,27380
20–1 h11134694,68090
30–1 h11144694,06890
40–1 h11154692,84090
50–1 h11164691,96590
60–1 h11174691,582100
70–1 h11184690,906100
80–1 h11194689,617100
90–1 h11204688,519100
100–1 h11214688,177110
110–1 h11224687,611110
120–1 h11234686,491110
130–1 h11244685,475120
140–1 h11254685,105120
150–1 h11264684,650120
160–1 h11274683,585120
170–1 h11284682,477130
180–1 h11294681,944130
190–1 h11304681,445130
200–1 h11314680,192130
210–1 h11324679,012140
220–1 h11334678,223140
230–1 h11344677,788140
240–1 h11354676,821140
250–1 h11364675,746150
260–1 h11374675,252150
270–1 h11384674,895150
280–1 h11394673,973150
290–1 h11404672,737160
300–1 h11414671,938160
310–1 h11424671,411160
320–1 h11434670,439160
330–1 h11444669,201170
340–1 h11454668,503170
350–1 h11464667,983170
360–1 h11474667,153170
370–1 h11484665,928180
380–1 h11494664,959180
390–1 h11504664,169180
400–1 h11514663,209190
410–1 h11524662,068190
420–1 h11534661,352190
430–1 h11544660,673190
440–1 h11554659,677200
450–1 h11564658,733200
460–1 h11574657,936200
470–1 h11584657,015200
480–1 h11594655,832210
490–1 h11604654,989210
500–1 h11614654,418210
510–1 h11624653,599210
520–1 h11634652,418220
530–1 h11644651,454220
540–1 h11654650,791220
550–1 h11664650,043220
560–1 h11674648,697230
570–1 h11684647,779230
580–1 h11694647,482230
590–1 h11704646,885230
600–1 h11714645,667240
610–1 h11724644,676240
620–1 h11734644,331240
630–1 h11744643,754240
640–1 h11754642,684250
650–1 h11764641,537250
660–1 h11774641,085250
670–1 h11784640,577250
680–1 h11794639,479260
690–1 h11804638,325260
700–1 h11814637,840260
710–1 h11824637,268270
720–1 h11834636,145270
730–1 h11844635,046270
740–1 h11854634,446270
750–1 h11864634,157280
760–1 h11874633,064280
770–1 h11884631,867280
780–1 h11894631,262280
790–1 h11904630,785290
800–1 h11914629,834290
810–1 h11924628,664290
820–1 h11934628,033290
830–1 h11944627,604300
840–1 h11954626,639300
850–1 h11964625,380300
860–1 h11974624,452300
870–1 h11984623,787310
880–1 h11994622,909310
890–1 h12004621,731310
900–1 h12014620,962310
910–1 h12024620,349320
920–1 h12034619,383320
930–1 h12044618,277320
940–1 h12054617,382320
950–1 h12064616,520330
960–1 h12074615,510330
970–1 h12084614,541330
980–1 h12094613,889340
990–1 h12104613,109340
1000–1 h12114612,064340
1010–1 h12124611,196340
1020–1 h12134610,497350
1030–1 h12144609,525350
1040–1 h12154608,202350
1050–1 h12164607,273350
1060–1 h12174606,680360
1070–1 h12184606,068360
1080–1 h12194604,840360
1090–1 h12204604,065360
1100–1 h12214603,664370
1110–1 h12224603,045370
1120–1 h12234601,751370
1130–1 h12244600,744370
1140–1 h12254600,453380
1150–1 h12264599,837380
1160–1 h12274598,669380
1170–1 h12284597,566380
1180–1 h12294597,148390
1190–1 h12304596,701390
1200–1 h12314595,585390
1210–1 h12324594,477390
1220–1 h12334593,955400
1230–1 h12344593,512400
1240–1 h12354592,346400
1250–1 h12364591,122400
1260–1 h12374590,426410
1270–1 h12384590,056410
1280–1 h12394589,043410
1290–1 h12404587,851420
1300–1 h12414587,352420
1310–1 h12424587,013420
1320–1 h12434586,077420
1330–1 h12444584,737430
1340–1 h12454583,938430
1350–1 h12464583,411430
1360–1 h12474582,439430
1370–1 h12484581,201440
1380–1 h12494580,503440
1390–1 h12504579,983440
1400–1 h12514579,153440
1410–1 h12524577,928450
1420–1 h12534576,959450
1430–1 h12544576,169450
1440–1 h12554575,209450
1450–1 h12564574,185460
1460–1 h12574573,458460
1470–1 h12584572,763460
1480–1 h12594571,770460
1490–1 h12604570,819470
1500–1 h12614570,041470
1510–1 h12624569,073470
1520–1 h12634567,832470
1530–1 h12644566,989480
1540–1 h12654566,464480
1550–1 h12664565,697480
1560–1 h12674564,527490
1570–1 h12684563,563490
1580–1 h12694563,062490
1590–1 h12704562,284490
1600–1 h12714560,922500
1610–1 h12724559,964500
1620–1 h12734559,628500
1630–1 h12744559,127500
1640–1 h12754557,863510
1650–1 h12764556,893510
1660–1 h12774556,574510
1670–1 h12784556,060510
1680–1 h12794554,946520
1690–1 h12804553,777520
1700–1 h12814553,238520
1710–1 h12824552,777520
1720–1 h12834551,590530
1730–1 h12844550,409530
1740–1 h12854549,852530
1750–1 h12864549,329530
1760–1 h12874548,289540
1770–1 h12884547,150540
1780–1 h12894546,547540
1790–1 h12904546,263540
1800–1 h12914545,271550
1810–1 h12924543,985550
1820–1 h12934543,336550
1830–1 h12944542,908560
1840–1 h12954542,073560
1850–1 h12964540,882560
1860–1 h12974540,290560
1870–1 h12984539,704570
1880–1 h12994538,788570
1890–1 h13004537,482570
1900–1 h13014536,503570
1910–1 h13024535,787580
1920–1 h13034534,909580
1930–1 h13044533,793580
1940–1 h13054533,058580
1950–1 h13064532,426590
1960–1 h13074531,472590
1970–1 h13084530,473590
1980–1 h13094529,618590
1990–1 h13104528,719600
2000–1 h13114527,600600
2010–1 h13124526,620600
2020–1 h13134525,986600
2030–1 h13144525,163610
2040–1 h13154524,064610
2050–1 h13164523,196610
2060–1 h13174522,548610
2070–1 h13184521,630620
2080–1 h13194520,352620
2090–1 h13204519,373620
2100–1 h13214518,940620
2110–1 h13224518,293630
2120–1 h13234517,065630
2130–1 h13244516,187630
2140–1 h13254515,738640
2150–1 h13264515,164640
2160–1 h13274513,958640
2170–1 h13284512,851640
2180–1 h13294512,555650
2190–1 h13304511,944650
2200–1 h13314510,816650
2210–1 h13324509,629650
2220–1 h13334509,160660
2230–1 h13344508,701660
2240–1 h13354507,585660
2250–1 h13364506,543660
2260–1 h13374505,997670
2270–1 h13384505,618670
2280–1 h13394504,533670
2290–1 h13404503,360670
2300–1 h13414502,669680
2310–1 h13424502,287680
2320–1 h13434501,243680
2330–1 h13444500,082680
2340–1 h13454499,496690
2350–1 h13464499,205690
2360–1 h13474498,292690
2370–1 h13484496,972690
2380–1 h13494496,209700
2390–1 h13504495,523700
2400–1 h13514494,550700
2410–1 h13524493,302710
2420–1 h13534492,548710
2430–1 h13544491,983710
2440–1 h13554491,153710
2450–1 h13564489,985720
2460–1 h13574489,064720
2470–1 h13584488,256720
2480–1 h13594487,302720
2490–1 h13604486,285730
2500–1 h13614485,551730
2510–1 h13624484,882730
2520–1 h13634483,770730
2530–1 h13644482,819740
2540–1 h13654482,041740
2550–1 h13664481,073740
2560–1 h13674479,832740
2570–1 h13684478,989750
2580–1 h13694478,464750
2590–1 h13704477,697750
2600–1 h13714476,527750
2610–1 h13724475,563760
2620–1 h13734475,062760
2630–1 h13744474,284760
2640–1 h13754473,028760
2650–1 h13764472,093770
2660–1 h13774471,732770
2670–1 h13784471,228770
2680–1 h13794470,131780
2690–1 h13804469,113780
2700–1 h13814468,777780
2710–1 h13824468,210780
2720–1 h13834467,079790
2730–1 h13844465,890790
2740–1 h13854465,291790
2750–1 h13864464,777790
2760–1 h13874463,590800
2770–1 h13884462,478800
2780–1 h13894461,895800
2790–1 h13904461,417800
2800–1 h13914460,461810
2810–1 h13924459,365810
2820–1 h13934458,813810
2830–1 h13944458,475810
2840–1 h13954457,391820
2850–1 h13964456,120820
2860–1 h13974455,418820
2870–1 h13984455,010820
2880–1 h13994454,073830
2890–1 h14004452,882830
2900–1 h14014452,290830
2910–1 h14024451,704830
2920–1 h14034450,788840
2931–2 h14774387,3161030
2941–2 h14784386,5561030
2951–2 h14794385,2961030
2961–2 h14804384,3281040
2971–2 h14814383,9001040
2981–2 h14824383,3891040
2991–2 h14834382,2211040
3001–2 h14844381,1831050
3011–2 h14854380,8431050
3021–2 h14864380,3181050
3031–2 h14874379,2181050
3041–2 h14884377,9941060
3051–2 h14894377,5071060
3061–2 h14904377,0221060
3071–2 h14914375,8931060
3081–2 h14924374,7271070
3091–2 h14934374,0571070
3101–2 h14944373,6471070
3111–2 h14954372,7391080
3121–2 h14964371,5881080
3131–2 h14974371,0651080
3141–2 h14984370,6011080
3151–2 h14994369,6101090
3161–2 h15004368,3601090
3171–2 h15014367,5671090
3181–2 h15024367,1021090
3191–2 h15034366,2111100
3201–2 h15044365,0621100
3211–2 h15054364,3451100
3221–2 h15064363,8091100
3231–2 h15074362,9191110
3241–2 h15084361,6831110
3251–2 h15094360,7341110
3261–2 h15104360,0201110
3271–2 h15114359,0971120
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14507–8 h31082587,4095250
14517–8 h31092586,6395250
14527–8 h31102585,6535250
14537–8 h31112584,2025260
14547–8 h31122583,1645260
14557–8 h31132582,4985260
14567–8 h31142581,5755260
14577–8 h31152580,1525270
14587–8 h31162579,1045270
14597–8 h31172578,2235270
14607–8 h31182577,0435280
14617–8 h31192575,7465280
14627–8 h31202574,6285280
14637–8 h31212573,9005280
14647–8 h31222572,9875290
14657–8 h31232571,8195290
14667–8 h31242570,7695290
14677–8 h31252569,9285290
14687–8 h31262568,8335300
14697–8 h31272567,6115300
14707–8 h31282566,5725300
14717–8 h31292565,8365300
14727–8 h31302564,9875310
14737–8 h31312563,8195310
14747–8 h31322562,7195310
14757–8 h31332561,7625310
14767–8 h31342560,6375320
14777–8 h31352559,3695320
14787–8 h31362558,1295320
14797–8 h31372557,2175320
14807–8 h31382556,4425330
14817–8 h31392555,3735330
14827–8 h31402554,1655330
14837–8 h31412553,0725330
14847–8 h31422552,2215340
14857–8 h31432551,1595340
14867–8 h31442549,9125340
14877–8 h31452549,0735350
14887–8 h31462548,3965350
14897–8 h31472547,3735350
14907–8 h31482546,1655350
14917–8 h31492545,0725360
14927–8 h31502544,2215360
14937–8 h31512543,1595360
14947–8 h31522541,8625360
14957–8 h31532540,9155370
14967–8 h31542540,2195370
14977–8 h31552539,0475370
14987–8 h31562537,5045370
14997–8 h31572536,4105380
15007–8 h31582535,5805380
15017–8 h31592534,5505380
15027–8 h31602533,1865380
15037–8 h31612532,4165390
15047–8 h31622531,7585390
15057–8 h31632530,7885390
15067–8 h31642529,3565390
15077–8 h31652528,3615400
15087–8 h31662527,5685400
15097–8 h31672526,5505400
15107–8 h31682525,1865400
15117–8 h31692524,4165410
15127–8 h31702523,7585410
15137–8 h31712522,7275410
15147–8 h31722521,0345410
15157–8 h31732519,9405420
15167–8 h31742519,1425420
15177–8 h31752517,7445420
15187–8 h31762516,2015430
15197–8 h31772515,5865430
15207–8 h31782515,0195430
15217–8 h31792513,6715430
15227–8 h31802512,1035440
15237–8 h31812511,3375440
15247–8 h31822510,7525440
15257–8 h31832509,4665440
15267–8 h31842508,0755450
15277–8 h31852507,4285450
15287–8 h31862506,9725450
15297–8 h31872505,6715450
15307–8 h31882504,1035460
15317–8 h31892503,2855460
15327–8 h31902502,6435460
15337–8 h31912501,1775460
15347–8 h31922499,7465470
15357–8 h31932498,9745470
15367–8 h31942498,3025470
15377–8 h31952496,5685470
15387–8 h31962495,0005480
15397–8 h31972494,1595480
15407–8 h31982493,4345480
15417–8 h31992492,1515480
15427–8 h32002490,8755490
15437–8 h32012490,2155490
15447–8 h32022489,5995490
15457–8 h32032488,1875500
15467–8 h32042486,8315500
15477–8 h32052486,0935500
15487–8 h32062485,4215500
15497–8 h32072484,1515510
15507–8 h32082482,8235510
15517–8 h32092482,0625510
15527–8 h32102481,2715510
15537–8 h32112479,7725520
15547–8 h32122478,1525520
15557–8 h32132477,2065520
15567–8 h32142476,4565520
15577–8 h32152475,0755530
15587–8 h32162473,6585530
15597–8 h32172472,9165530
15607–8 h32182472,2355530
15617–8 h32192470,9235540
15627–8 h32202469,5435540
15637–8 h32212468,9075540
15647–8 h32222468,2915540
15657–8 h32232466,9745550
15667–8 h32242465,5865550
15677–8 h32252464,9165550
15687–8 h32262464,2355550
15697–8 h32272462,8615560
15707–8 h32282461,2785560
15717–8 h32292460,5175560
15727–8 h32302459,8295570
15737–8 h32312458,0685570
15747–8 h32322456,3625570
15757–8 h32332455,8055570
15767–8 h32342455,0475580
15777–8 h32352453,5175580
15787–8 h32362452,2225580
15797–8 h32372451,6635580
15807–8 h32382450,9225590
15817–8 h32392449,3335590
15827–8 h32402448,0175590
15837–8 h32412447,5445590
15847–8 h32422446,9025600
15857–8 h32432445,4525600
15867–8 h32442444,2225600
15877–8 h32452443,6515600
15887–8 h32462442,8725610
15897–8 h32472441,1925610
15907–8 h32482439,8585610
15917–8 h32492439,2675610
15927–8 h32502438,4925620
15937–8 h32512436,7595620
15947–8 h32522435,5435620
15957–8 h32532434,8095620
15967–8 h32542433,7275630
15977–8 h32552432,2025630
15987–8 h32562431,2185630
15997–8 h32572430,5535630
16007–8 h32582429,7185640
16017–8 h32592428,4185640
16027–8 h32602427,4095640
16037–8 h32612426,6395650
16047–8 h32622425,6535650
16057–8 h32632424,2025650
16067–8 h32642423,1645650
16077–8 h32652422,4985660
16087–8 h32662421,5755660
16097–8 h32672420,1525660
16107–8 h32682419,1045660
16117–8 h32692418,2235670
16127–8 h32702417,0435670
16137–8 h32712415,7465670
16147–8 h32722414,6285670
16157–8 h32732413,9005680
16167–8 h32742412,9875680
16177–8 h32752411,8195680
16187–8 h32762410,7695680
16197–8 h32772409,9285690
16207–8 h32782408,8335690
16217–8 h32792407,6115690
16227–8 h32802406,5725690
16237–8 h32812405,8365700
16247–8 h32822404,9875700
16257–8 h32832403,8195700
16267–8 h32842402,7195700
16277–8 h32852401,7625710
16287–8 h32862400,6375710
16297–8 h32872399,3695710
16307–8 h32882398,1295720
16317–8 h32892397,2175720
16327–8 h32902396,4425720
16337–8 h32912395,3735720
16347–8 h32922394,1655730
16357–8 h32932393,0725730
16367–8 h32942392,2215730
16377–8 h32952391,1595730
16387–8 h32962389,9125740
16397–8 h32972389,0735740
16407–8 h32982388,3965740
16417–8 h32992387,3735740
16427–8 h33002386,1655750
16437–8 h33012385,0725750
16447–8 h33022384,2215750
16457–8 h33032383,1595750
16467–8 h33042381,8625760
16477–8 h33052380,9155760
16487–8 h33062380,2195760
16497–8 h33072379,0475760
16507–8 h33082377,5045770
16517–8 h33092376,4105770
16527–8 h33102375,5805770
16537–8 h33112374,5505770
16547–8 h33122373,1865780
16557–8 h33132372,4165780
16567–8 h33142371,7585780
16577–8 h33152370,7885790
16587–8 h33162369,3565790
16597–8 h33172368,3615790
16607–8 h33182367,5685790
16617–8 h33192366,5505800
16627–8 h33202365,1865800
16637–8 h33212364,4165800
16647–8 h33222363,7585800

Podstawa: PN-B-02852:2001, rozdział 3, rysunek 1. Obie metody skorygowano na podstawie ponownego odczytu oryginalnego PDF. Norma przedstawia wykres; wzory i pomocniczą tabelę punktów opracowano matematycznie. Odczyty są przybliżone. Wybór metody zmienia sposób łączenia tych samych nowych punktów. Dla Q > 5 900 MJ/m² norma nakazuje 8 h; w kalkulatorze punkt graniczny Q = 5 900 również ma wartość 8 h.

Informacje o źródle i dokładności

Źródłem ponownego odczytu jest dostarczona norma PN-B-02852:2001 w PDF, strona drukowana 4, rysunek 1. Skan ma około 7,3 razy większą rozdzielczość wykresu w obu osiach niż poprzedni obrazek. Wykres SVG w kalkulatorze jest własnym odwzorowaniem odczytanych danych. Rozdzielczość około 2,59 MJ/m² i 12 s na piksel opisuje skalę obrazu; nie gwarantuje takiej dokładności wyniku. Przy formalnym zastosowaniu sprawdź odczyt w egzemplarzu normy.

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