TRR 100 Technische Regeln zur Druckbehälterverordnung -Rohrleitungen-
Beurteilung von T-Stücken | Anlage 1 |
Zulässige Stützweiten für Stahlrohre Randbedingungen: siehe Erläuterungen zu Anlage 2 | Anlage 2 |
leeres Rohr, ohne Dämmung | wassergefülltes Rohr, ohne Dämmung | |||||||||||||||
DN | da | s | q | L1 | L2 | L3 | L4 | L5 | L6 | q | L1 | L2 | L3 | L4 | L5 | L6 |
mm | kg/m | m | kg/m | m | ||||||||||||
25 | 33.7 | 2.0 | 1.6 | 2.9 | 5.5 | 4.8 | 2.9 | 2.8 | 1.5 | 2.3 | 2.7 | 4.6 | 4.0 | 2.4 | 2.3 | 1.2 |
25 | 33.7 | 4.0 | 2.9 | 2.9 | 5.3 | 5.3 | 3.6 | 2.6 | 1.8 | 3.5 | 2.8 | 4.9 | 4.9 | 3.3 | 2.4 | 1.7 |
40 | 48.3 | 2.0 | 2.3 | 3.5 | 6.8 | 5.2 | 3.1 | 3.4 | 1.6 | 3.9 | 3.1 | 5.2 | 4.0 | 2.4 | 2.6 | 1.2 |
40 | 48.3 | 4.0 | 4.4 | 3.5 | 6.5 | 6.4 | 3.9 | 3.3 | 1.9 | 5.7 | 3.3 | 5.7 | 5.6 | 3.4 | 2.9 | 1.7 |
50 | 60.3 | 2.0 | 2.9 | 4.5 | 7.6 | 5.4 | 3.3 | 3.8 | 1.6 | 5.4 | 3.9 | 5.6 | 4.0 | 2.4 | 2.8 | 1.2 |
50 | 60.3 | 4.5 | 6.2 | 4.4 | 7.3 | 6.9 | 4.2 | 3.7 | 2.1 | 8.3 | 4. 1 | 6.4 | 6.0 | 3.7 | 3.2 | 1.8 |
80 | 88.9 | 2.3 | 5.0 | 5.5 | 9.3 | 6.0 | 3.7 | 4.7 | 1.8 | 10.6 | 4.6 | 6.4 | 4.1 | 2.5 | 3.2 | 1.3 |
80 | 88.9 | 5.6 | 11.5 | 5.4 | 9.0 | 8.0 | 4.9 | 4.5 | 2.4 | 16.3 | 5.0 | 7.6 | 6.7 | 4.1 | 3.8 | 2.1 |
100 | 114.3 | 2.6 | 7.3 | 6.3 | 10.6 | 6.6 | 4.0 | 5.3 | 2.0 | 16.6 | 5.1 | 7.0 | 4.3 | 2.7 | 3.5 | 1.3 |
100 | 114.3 | 6.3 | 16.8 | 6.2 | 10.3 | 8.7 | 5.3 | 5.2 | 2.7 | 24.9 | 5.6 | 8.5 | 7.1 | 4.4 | 4.2 | 2.2 |
150 | 168.3 | 2.6 | 10.8 | 7.6 | 12.9 | 7.0 | 4.3 | 6.5 | 2.2 | 31.7 | 5.8 | 7.5 | 4.1 | 2.5 | 3.8 | 1.3 |
150 | 168.3 | 7.1 | 28.2 | 7.5 | 12.7 | 9.7 | 5.9 | 6.3 | 3.0 | 46.9 | 6.6 | 9.8 | 7.6 | 4.6 | 4.9 | 2.3 |
200 | 219.1 | 2.9 | 15.7 | 8.7 | 14.8 | 7.7 | 4.7 | 7.4 | 2.3 | 51.4 | 6.5 | 8.2 | 4.2 | 2.6 | 4.1 | 1.3 |
200 | 219.1 | 7.1 | 37.1 | 8.7 | 14.6 | 10.2 | 6.3 | 7.3 | 3.1 | 70.1 | 7.4 | 10.6 | 7.5 | 4.6 | 5.3 | 2.3 |
250 | 273.0 | 2.9 | 19.6 | 9.7 | 16.6 | 7.9 | 4.9 | 8.3 | 2.4 | 75.6 | 6.9 | 8.4 | 4.0 | 2.5 | 4.2 | 1.2 |
250 | 273.0 | 7.1 | 46.6 | 9.7 | 16.4 | 10.7 | 6.5 | 8.2 | 3.3 | 99.2 | 8.0 | 11.2 | 7.3 | 4.5 | 5.6 | 2.2 |
300 | 323.9 | 2.9 | 23.3 | 10.6 | 18 1 | 8.2 | 5.0 | 9.0 | 2.5 | 102.7 | 7.3 | 8.6 | 3.9 | 2.4 | 4.3 | 1.2 |
300 | 323.9 | 8.0 | 62.3 | 10.6 | 17.9 | 11.4 | 7.0 | 8.9 | 3.5 | 136.8 | 8.7 | 12.1 | 7.7 | 4.7 | 6.0 | 2.4 |
350 | 355.6 | 3.2 | 28.2 | 11.1 | 18.9 | 8.6 | 5.2 | 9.5 | 2.6 | 123.9 | 7.7 | 9.0 | 4.1 | 2.5 | 4.5 | 1.3 |
350 | 355.6 | 8.8 | 75.3 | 11.1 | 18.8 | 12.0 | 7.3 | 9.4 | 3.7 | 165.0 | 9.1 | 12.7 | 8.1 | 4.9 | 6.3 | 2.5 |
400 | 406.4 | 3.2 | 32.2 | 11.9 | 20.3 | 8.8 | 5.4 | 10.1 | 2.7 | 157.9 | 8.0 | 9.2 | 4.0 | 2.4 | 4.6 | 1.2 |
400 | 406.4 | 10.0 | 97.8 | 11.8 | 20.0 | 12.8 | 7.8 | 10.0 | 3.9 | 215.0 | 9.7 | 13.5 | 8.6 | 5.3 | 6.8 | 2.6 |
500 | 508.0 | 4.0 | 50.4 | 13.3 | 22.6 | 9.8 | 6.0 | 11.3 | 3.0 | 246.7 | 8.9 | 10.2 | 4.4 | 2.7 | 5.1 | 1.4 |
500 | 508.0 | 11.0 | 134.8 | 13.2 | 22.5 | 13.7 | 8.4 | 11.2 | 4.7 | 320.3 | 10.7 | 14.6 | 8.9 | 5.4 | 7.3 | 2.7 |
leeres Rohr, Dämmdicke DD 40 | wassergefülltes Rohr, Dämmdicke DD 40 | |||||||||||||||
DN | da | s | q | L1 | L2 | L3 | L4 | L5 | L6 | q | L1 | L2 | L3 | L4 | L5 | L6 |
mm | kg/m | kg/m | kg/m | m | ||||||||||||
25 | 33.7 | 2.0 | 7.0 | 2.0 | 2.6 | 2.3 | 1.4 | 1.3 | 0.7 | 11.8 | 1.8 | 2.0 | 1.8 | 1.1 | 1.0 | 0.5 |
25 | 33.7 | 4.0 | 8.l | 2.2 | 3.2 | 3.2 | 2.2 | 1.6 | 1.1 | 13.0 | 2.0 | 2.5 | 2.5 | 1.7 | 1.3 | 0.9 |
40 | 48.3 | 2.0 | 9.2 | 2.5 | 3.4 | 2.6 | 1.6 | 1.7 | 0.8 | 14.3 | 2.3 | 2.7 | 2.1 | 1.3 | 1.4 | 0.6 |
40 | 48.3 | 4.0 | 11.0 | 2.8 | 4.1 | 4.0 | 2.4 | 2.1 | 1.2 | 16.1 | 2.5 | 3.4 | 3.3 | 2.0 | 1.7 | 1.0 |
50 | 60.3 | 2.0 | 11.3 | 3.2 | 3.9 | 2.7 | 1.7 | 1.9 | 0.8 | 16.6 | 2.9 | 3.2 | 2.3 | 1.4 | 1.6 | 0.7 |
50 | 60.3 | 4.5 | 14.2 | 3.6 | 4.9 | 4.6 | 2.8 | 2.4 | 1.4 | 19.4 | 3.3 | 4.2 | 3.9 | 2.4 | 2.1 | 1.2 |
80 | 88.9 | 2.3 | 17.8 | 4.0 | 4.9 | 3.2 | 1.9 | 2.5 | 1.0 | 23.5 | 3.7 | 4.3 | 2.8 | 1.7 | 2.1 | 0.8 |
80 | 88.9 | 5.6 | 23.5 | 4.5 | 6.3 | 5.6 | 3.4 | 3.2 | 1.7 | 29.2 | 4.3 | 5.7 | 5.0 | 3.1 | 2.8 | 1.5 |
100 | 114.3 | 2.6 | 25.0 | 4.6 | 5.7 | 3.5 | 2.2 | 2.8 | 1.1 | 31.1 | 4.4 | 5.1 | 3.2 | 1.9 | 2.6 | 1.0 |
100 | 114.3 | 6.3 | 33.3 | 5.2 | 7.3 | 6.2 | 3.8 | 3.7 | 1.9 | 39.4 | 5.0 | 6.7 | 5.7 | 3.5 | 3.4 | 1.7 |
150 | 168.3 | 2.6 | 42.6 | 5.4 | 6.5 | 3.5 | 2.2 | 3.3 | 1.1 | 49.5 | 5.2 | 6.0 | 3.3 | 2.0 | 3.0 | 1.0 |
150 | 168.3 | 7.1 | 57.8 | 6.3 | 8.9 | 6.8 | 4.2 | 4.4 | 2.1 | 64.7 | 6.1 | 8.4 | 6.4 | 3.9 | 4.2 | 2.0 |
200 | 219.1 | 2.9 | 64.7 | 6.1 | 7.3 | 3.8 | 2.3 | 3.6 | 1.1 | 72.3 | 5.9 | 6.9 | 3.6 | 2.2 | 3.4 | 1.1 |
200 | 219.1 | 7.1 | 83.4 | 7.1 | 9.7 | 6.8 | 4.2 | 4.9 | 2.1 | 91.0 | 6.9 | 9.3 | 6.5 | 4.0 | 4.7 | 2.0 |
250 | 273.0 | 2.9 | 91.5 | 6.6 | 7.7 | 3.7 | 2.2 | 3.8 | 1.1 | 99.9 | 6.5 | 7.3 | 3.5 | 2.1 | 3.7 | 1.1 |
250 | 273.0 | 7.1 | 115.0 | 7.7 | 10.4 | 6.8 | 4.1 | 5.2 | 2.1 | 123.4 | 7.6 | 10.1 | 6.6 | 4.0 | 5.0 | 2.0 |
300 | 323.9 | 2.9 | 120.9 | 7.0 | 7.9 | 3.6 | 2.2 | 4.0 | 1.1 | 130.1 | 6.9 | 7.6 | 3.5 | 2.1 | 3.8 | 1.1 |
300 | 323.9 | 8.0 | 155.0 | 8.4 | 11.4 | 7.3 | 4.4 | 5.7 | 2.2 | 164.2 | 8.3 | 11.0 | 7.0 | 4.3 | 5.5 | 2.2 |
350 | 355.6 | 3.2 | 143.6 | 7.4 | 8.4 | 3.8 | 2.3 | 4.2 | 1.2 | 153.3 | 7.3 | 8.1 | 3.7 | 2.2 | 4.1 | 1.1 |
350 | 355.6 | 8.8 | 184.7 | 8.8 | 12.0 | 7.7 | 4.7 | 6.0 | 2.3 | 194.3 | 8.7 | 11.7 | 7.5 | 4.6 | 5.8 | 2.3 |
400 | 406.4 | 3.2 | 179.9 | 7.7 | 8.6 | 3.7 | 2.3 | 4.3 | 1.1 | 190.4 | 7.6 | 8.3 | 3.6 | 2.2 | 4.2 | 1.1 |
400 | 406.4 | 10.0 | 237.0 | 9.5 | 12.9 | 8.2 | 5.0 | 6.4 | 2.5 | 247.5 | 9.4 | 12.6 | 8.0 | 4.9 | 6.3 | 2.5 |
500 | 508.0 | 4.0 | 273.4 | 8.7 | 9.7 | 4.2 | 2.6 | 4.9 | 1.3 | 285.4 | 8.6 | 9.5 | 4.1 | 2.5 | 4.8 | 1.3 |
500 | 508.0 | 11.0 | 347.1 | 10.5 | 14.0 | 8.6 | 5.2 | 7.0 | 2.6 | 359.1 | 10.4 | 13.8 | 8.4 | 5.1 | 6.9 | 2.6 |
Erläuterungen zu Anlage 2
L1 | fzul = 3 mm DN < 50 fzul = 5 mm DN > 50 | L3 | σmax = 40 N/mm2 i nach Anlage 2 |
L2 | σmax = 40 N/mm2 | L4 | σmax = 40 N/mm2 i nach Anlage 2 |
L5 | σmax = 40 N/mm2 | L6 | σmax = 40 N/mm2 i nach Anlage 2 |
Voraussetzungen:
Gepreßtes bzw. geschweißtes T-Stück mit waagerechtem Abzweig.
Spannung aus Innendruck unberücksichtigt.
Toleranzen und Zuschläge (c1 und c2) unberücksichtigt.
Fall | System TOP | Belastung | Kriterium | Bemerkung | Erl. Diagr. Kurve | |
Durchbiegung | Spannung | |||||
A | q [kg/m] m [kg] |
Bestimmung von l iterativ | 1 | |||
B | " | 1 | ||||
C | q + Einzellast in allen Feldern | Durchlaufträger mit gleichen Feldlängen (Einzelmasse in jedem Feld) | 4 | |||
D | q + Einzellast nur im jeweili- gen Feld | 3 | ||||
E | q + Einzellast nur im jeweili- gen Feld | 2 |
dAM | [mm] | mittlerer Durchmesser des Abzweiges |
dm | [mm] | mittlerer Rohrdurchmesser |
da | [mm] | Außendurchmesser der Rohrleitung |
di | [mm] | Innendurchmesser der Rohrleitung |
f | [mm] | Durchbiegung |
l* | [m]=m/q* | äquivalente Länge |
i | [-] | Spannungserhöhungsfaktor |
l | [m] | Stützweite, Kraglänge (allgemein) |
m | [kg] | Zusatz (einzel)-Masse |
q | [kg/m] | auf die Länge bezogene Masse |
s | [mm] | Nennwanddicke |
v | [-] | Schweißnahtwertigkeit |
x | [-]= l/L | Verhältnis der Länge mit/ohne Zusatzmasse |
y | [-] = l* /L | Verhältnis äquivalente Länge/Länge ohne Zusatzmasse |
DN | Nennweite | |
E | [kN/mm2] | Elastizitätsmodul |
F | [N]= m ⋅ g | Einzellast |
I | [mm4] | Trägheitsmoment |
K | [N/mm2] | Festigkeitskennwert |
L | [m] | Länge ohne Zusatzmasse |
S | [-] | Sicherheitsbeiwert |
W | [mm3] | Widerstandsmoment |
ρ | [kg/m3] | Dichte |
σ | [N/mm2] | Spannung |
g | [m/sec2] | Erdbeschleunigung |
Indices fL von Anlage 2 | ||
A, B, C, D, E | Bezug auf Fälle in Anlage 2 | |
F, S | Bezug auf Kriterium Durchbiegung/Spannung | |
* | von Tabelle Anlage 2 abweichende Parameter | |
- | auf Durchlaufträger bezogen |