Herbert Keller - GRAITEC GmbH Dietrich-Oppenberg-Platz 1 ... · Herbert Keller - GRAITEC GmbH...

Herbert Keller - GRAITEC GmbH Dietrich-Oppenberg-Platz 1 +49 201 647297-67 D-45127 Essen www.graitec.de

CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 1 CS-KRAN/S2 V 2013.06 Kranbahnträger XL Berechnung eines Brückenlaufkrans

System und Lasten

Ansicht XZ-Ebene

HEB 300

6.00

HEB 300

6.00

12.00

Qh=

57.0

kN

Qh

=5

7.0

kN

K1

Auflagerbedingungen

Bez Stelle x Cx Cy Cz CMx CMy CMz CMw

A 0.00 fest fest fest fest - - -B 6.00 - fest fest fest - - -C 12.00 - fest fest fest - - -

Profil: 'HEB 300 + FL 50.0x40.0'

300.0

30

0.011.0

19.0

1 2

3 4

5

Querschnittsverlauf

Von x= Bis x= Querschnitt Querschnitt Material Beul- [m] [m] Anfang Ende felder

0.00 6.00 HEB 300 HEB 300 S235 16.00 12.00 HEB 300 HEB 300 S235 1

Querschnittswerte

Schiene (75%) A h b k Iy Iz It e1

[cm2] [cm] [cm] [cm] [cm4] [cm4] [cm4] [cm]FL 50.0x40.0 15.0 3.0 5.0 5.0 11.3 31.3 45.0 1.5


CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 2 Profil A Iy Iz Ito Itg ym zm phi

[cm2] [cm4] [cm4] [cm4] [cm4] [cm] [cm] [°]HEB 300 149.1 25167.9 8553.1 185.0 0.0 0.0 0.0 0.0Die Querschnittswerte der Schiene werden nicht statisch berücksichtigt!

Materialwerte

Name E G fyk m0 m1 ma0 ma1 mf [N/mm2] [N/mm2] [N/mm2] [kN/m3]

S235 210000.0 81000.0 235.0 1.00 1.10 1.00 1.00 1.15 78.5

Kräne

Bezeichnung Achsen Hubkl. B.GruppeBrückenkran 2 B2 S2

Ermüdung und lokale Effekte

K = Kerbfall / Bl = Blechnummer / sn = Schweißnaht Name K Typ Art Bl Idx y z dBl dsn Ksn

[cm] [cm] [mm] [mm]Schienenanschluss rechts 125 Längssp. S-Naht. 2 0.17 2.5 -14.1 19.0 6.0 36Schienenanschluss links 125 Längssp. S-Naht. 1 0.83 -2.5 -14.1 19.0 6.0 36Stegansatz (Tau) 100 Schubsp. Durchg. 5 0.13 0.0 -10.4 11.0 --- ---Stegansatz (Sx) 160 Längssp. Durchg. 5 0.13 0.0 -10.4 11.0 --- ---

Lastprotokoll

Eigengewicht

Lasttext Von x= Länge P(Anfang) P(Ende) Gewicht [m] [m] [kN/m] [kN/m] [kN]

Feld 1 Träger (=78.5) 0.00 6.00 1.170 1.170 7.02Feld 2 Träger (=78.5) 6.00 6.00 1.170 1.170 7.02Schiene FL 50.0x40.0 (=78.5) 0.00 12.00 0.157 0.157 1.88

Kran 1 (Brückenkran)

Schwingbeiwerte

1 2 3 4 5 6 7 fat,1 fat,2

1.10 1.13 1.00 1.00 1.50 1.00 1.00 1.05 1.07

Grundlasten

Bezeichnung Achse 1 Achse 2Achsabstand dx [m] 0.00 3.60Max.vert.Radlast ständig Qcmax [kN] 18.00 18.00Zugeh.vert.Radlast ständig Qcmin [kN] 0.00 0.00Max.vert.Radlast aus Hub Qhmax [kN] 57.00 57.00Zugeh.vert.Radlast aus Hub Qhmin [kN] 0.00 0.00Zugeh.Massenkraft Trägerquerrichtung HT1 [kN] 8.60 -8.60Massenkraft Trägerquerrichtung HT2 [kN] 8.60 -8.60Zugeh.Spurführungskraft HS1 [kN] -20.00 0.00Spurführungskraft HS2 [kN] 20.00 0.00

Lastgruppen

Lastgruppe Gruppe 1 (Tragsicherheit) ULS1 Gruppe 2 (Tragsicherheit) ULS2 Gruppe 3 (Tragsicherheit) ULS3 Gruppe 4 (Tragsicherheit) ULS4 Gruppe 5 (Tragsicherheit) ULS5


CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 3 Lastgruppe Gruppe 6 (Tragsicherheit) ULS6 Gruppe 7 (Tragsicherheit) ULS7 Gruppe 8 (Prüflast) PROOF Gruppe 9 (Außergewöhnlich) ACC9 Gruppe 10 (Außergewöhnlich) ACC10 Gruppe 11A1 (Max.ständig+Hub+Schräglauf) SLS11A1 Gruppe 11B1 (Max.ständig+Schräglauf) SLS11B1 Gruppe 11C1 (Zugeh.ständig+Hub+Schräglauf) SLS11C1 Gruppe 11D1 (Zugeh.ständig+Schräglauf) SLS11D1 Gruppe 11A2 (Max.ständig+Hub+Massenkraft) SLS11A2 Gruppe 11B2 (Max.ständig+Massenkraft) SLS11B2 Gruppe 11C2 (Zugeh.ständig+Hub+Massenkraft) SLS11C2 Gruppe 11D2 (Zugeh.ständig+Massenkraft) SLS11D2 Gruppe 14 (Ermüdung) FAT Achse 1 Achse 2Bez. Fx Fy Fz Fx Fy Fz [kN] [kN] [kN] [kN] [kN] [kN]ULS1 0.00 12.90 84.21 0.00 -12.90 84.21ULS2 0.00 12.90 76.80 0.00 -12.90 76.80ULS3 0.00 12.90 18.00 0.00 -12.90 18.00ULS4 0.00 12.90 75.00 0.00 -12.90 75.00ULS5 0.00 20.00 75.00 0.00 0.00 75.00ULS6 0.00 0.00 75.00 0.00 0.00 75.00ULS7 0.00 0.00 18.00 0.00 0.00 18.00PROOF 0.00 12.90 19.80 0.00 -12.90 19.80ACC9 0.00 0.00 75.00 0.00 0.00 75.00ACC10 0.00 0.00 75.00 0.00 0.00 75.00SLS11A1 0.00 8.60 75.00 0.00 -8.60 75.00SLS11B1 0.00 8.60 18.00 0.00 -8.60 18.00SLS11C1 0.00 8.60 0.00 0.00 -8.60 0.00SLS11D1 0.00 8.60 0.00 0.00 -8.60 0.00SLS11A2 0.00 20.00 75.00 0.00 0.00 75.00SLS11B2 0.00 20.00 18.00 0.00 0.00 18.00SLS11C2 0.00 -20.00 0.00 0.00 0.00 0.00SLS11D2 0.00 -20.00 0.00 0.00 0.00 0.00FAT 0.00 0.00 79.89 0.00 0.00 79.89

Kranstellungen bez. Achse 1

Nr p Nr p Nr p Nr p [m] [m] [m] [m]

1 -3.60 2 -1.80 3 1.20 4 4.205 7.20 6 10.20 7 12.00 8 -3.759 -0.15 10 0.00 11 -3.45 12 0.1513 -0.60 14 3.00 15 2.25 16 5.8517 2.40 18 6.00 19 2.55 20 6.1521 5.40 22 9.00 23 8.25 24 11.8525 8.40 26 8.55 27 12.15 28 1.5029 0.90 30 7.50 31 6.90

Lastüberlagerung und Exzentrizitäten

Nachweis Einwirkung 1 2 3 ey ez

[cm] [cm]Tragsicherheit S/V ständig 1.35 --- --- --- --- ---

Kran 1 alternativ 1.35 1.00 0.90 0.24 0.0 -19.0Tragsicherheit A ständig 1.00 --- --- --- --- ---

aussergewöhnlich 1.00 --- --- --- 0.0 -19.0


CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 4 Nachweis Einwirkung 1 2 3 ey ez

[cm] [cm]Tragsicherheit Prüflast ständig 1.35 --- --- --- --- ---

Kran 1 alternativ 1.10 1.00 0.90 0.24 0.0 -19.0Gebrauchstauglichkeit ständig 1.00 --- --- --- --- ---

Kran 1 alternativ 1.00 1.00 0.90 0.24 0.0 -19.0Ermüdung ständig 1.00 --- --- --- --- ---

Kran 1 alternativ 1.00 1.00 0.90 0.24 0.0 -19.0

Biegedrillknicken

Der Nachweis des Biegedrillknickens wird durch eine Berechnung nach Biegetorsionstheorie II. Ordnung durchgeführt. Die Berechnung erfolgt gemäß DIN EN 1993-1-1/NA (NDP zu 5.3.4(3) Anmerkung) für I-Profile mit 0.7>lambda_LT, lambda_LT>1.3 und h/b=1.00 für einen Nachweis elastisch-elastisch

Ergebnisse

Zusammenfassung

Tragsicherheit S/V Wert Kranst. x=Schnittgrößen Vy max 26.65 kN 20 6.00 Vy min -26.65 kN 16 5.85 Vz max 170.7 kN 20 6.00 Vz min -170.7 kN 15 6.00 Mx max 5.06 kNm 20 6.00 Mx min -5.06 kNm 16 5.85 My max 147.1 kNm 15 2.25 My min -129.8 kNm 4 6.00 Mz max 23.46 kNm 21 9.00 Mz min -33.59 kNm 19 2.55 Mw max 3.59 kNm² 17 2.40 Mw min -2.38 kNm² 21 9.00Spannungen x min -120.7 MN/m² 4 6.00 x max 181.1 MN/m² 15 2.25 XZ 81.55 MN/m² 20 6.00 V 192.0 MN/m² 15 2.25 Ausn. 0.82 15 2.25Stegansatz (Tau) x max 53.64 MN/m² 4 6.00 x min -62.13 MN/m² 15 2.25 XZ max 78.37 MN/m² 20 6.00 z Rad -56.83 MN/m² 1 0.00 XZ Rad 11.37 MN/m² 1 0.00 V 164.9 MN/m² 20 6.15 Ausn. 0.70 20 6.15Stegansatz (Sx) x max 53.64 MN/m² 4 6.00 x min -62.13 MN/m² 15 2.25 XZ max 78.37 MN/m² 20 6.00 z Rad -56.83 MN/m² 1 0.00 XZ Rad 11.37 MN/m² 1 0.00 V 164.9 MN/m² 20 6.15 Ausn. 0.70 20 6.15 Tragsicherheit S/V (Beulen) Beulfeld-1 Blech-4 0.58 4 6.00Beulfeld-2 Blech-4 0.57 4 6.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 5 Tragsicherheit S/V (BDK) Schnittgrößen Nmax 0.60 kN 29 0.00 Nmin -0.25 kN 16 6.00 Vy max 24.13 kN 30 7.50 Vy min -26.67 kN 16 6.00 Vz max 128.8 kN 19 6.00 Vz min -170.7 kN 15 6.00 Mx max 4.93 kNm 29 0.90 Mx min -5.16 kNm 16 5.85 My max 146.7 kNm 15 2.25 My min -129.6 kNm 4 6.00 Mz max 24.96 kNm 16 9.45 Mz min -36.87 kNm 19 2.55 Mw max 4.31 kNm² 17 2.40 Mw min -3.18 kNm² 16 9.45Querschnitt Ausn. 0.56 15 2.25 Tragsicherheit A Schnittgrößen Vz max 113.2 kN 20 6.00 Vz min -113.2 kN 15 6.00 My max 97.42 kNm 15 2.25 My min -86.30 kNm 4 6.00Spannungen x min -58.06 MN/m² 15 2.25 x max 58.06 MN/m² 15 2.25 XZ 38.12 MN/m² 15 6.00 V 71.87 MN/m² 15 6.00 Ausn. 0.31 15 6.00Stegansatz (Tau) x max 35.66 MN/m² 4 6.00 x min -40.26 MN/m² 15 2.25 XZ max 35.76 MN/m² 15 6.00 z Rad -37.49 MN/m² 1 0.00 XZ Rad 7.50 MN/m² 1 0.00 V 87.41 MN/m² 15 5.85 Ausn. 0.37 15 5.85Stegansatz (Sx) x max 35.66 MN/m² 4 6.00 x min -40.26 MN/m² 15 2.25 XZ max 35.76 MN/m² 15 6.00 z Rad -37.49 MN/m² 1 0.00 XZ Rad 7.50 MN/m² 1 0.00 V 87.41 MN/m² 15 5.85 Ausn. 0.37 15 5.85 Tragsicherheit A (Beulen) Beulfeld-1 Blech-1 0.27 15 2.25Beulfeld-2 Blech-1 0.27 20 9.75 Tragsicherheit A (BDK) Schnittgrößen Nmax 0.26 kN 29 0.00 Nmin -0.12 kN 19 6.00 Vy max 0.20 kN 22 9.00 Vy min -0.20 kN 13 3.00 Vz max 113.2 kN 20 6.00 Vz min -113.2 kN 15 6.00 Mx max 0.62 kNm 4 6.00 Mx min -0.62 kNm 4 6.00 My max 97.42 kNm 15 2.25 My min -86.30 kNm 4 6.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 6 Tragsicherheit A (BDK) Mz max 0.10 kNm 13 6.00 Mz min -0.35 kNm 18 9.60 Mw max 0.61 kNm² 18 9.60 Mw min -0.60 kNm² 4 6.00Querschnitt Ausn. 0.30 15 6.00 Tragsicherheit Prüflast Schnittgrößen Vy max 13.47 kN 25 6.00 Vy min -18.75 kN 24 11.85 Vz max 49.56 kN 20 6.00 Vz min -49.56 kN 15 6.00 Mx max 2.45 kNm 25 6.00 Mx min -3.57 kNm 11 0.00 My max 41.78 kNm 15 2.25 My min -39.87 kNm 4 6.00 Mz max 26.06 kNm 21 9.00 Mz min -26.06 kNm 14 3.00 Mw max 2.64 kNm² 14 3.00 Mw min -2.64 kNm² 21 9.00Spannungen x min -66.07 MN/m² 4 4.20 x max 100.4 MN/m² 14 3.00 XZ 41.88 MN/m² 24 12.00 V 108.0 MN/m² 14 3.00 Ausn. 0.46 14 3.00Stegansatz (Tau) x max 16.48 MN/m² 4 6.00 x min -18.75 MN/m² 15 2.25 XZ max 32.55 MN/m² 16 6.00 z Rad -14.85 MN/m² 1 0.00 XZ Rad 2.97 MN/m² 1 0.00 V 64.82 MN/m² 16 5.85 Ausn. 0.28 16 5.85Stegansatz (Sx) x max 16.48 MN/m² 4 6.00 x min -18.75 MN/m² 15 2.25 XZ max 32.55 MN/m² 16 6.00 z Rad -14.85 MN/m² 1 0.00 XZ Rad 2.97 MN/m² 1 0.00 V 64.82 MN/m² 16 5.85 Ausn. 0.28 16 5.85 Tragsicherheit Prüflast (Beulen) Beulfeld-1 Blech-3 0.31 4 4.20Beulfeld-2 Blech-4 0.32 4 7.80 Tragsicherheit Prüflast (BDK) Schnittgrößen Nmax 0.06 kN 31 12.00 Nmin -0.01 kN 6 10.20 Vy max 13.87 kN 10 3.60 Vy min -17.42 kN 16 5.85 Vz max 49.55 kN 20 6.00 Vz min -49.55 kN 15 6.00 Mx max 2.68 kNm 10 4.50 Mx min -3.35 kNm 16 5.85 My max 41.42 kNm 15 2.25 My min -39.61 kNm 4 6.00 Mz max 26.73 kNm 21 9.00 Mz min -26.73 kNm 14 3.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 7 Tragsicherheit Prüflast (BDK) Mw max 2.84 kNm² 14 3.00 Mw min -2.84 kNm² 21 9.00Querschnitt Ausn. 0.31 4 4.20 Gebrauchstauglichkeit Verformung wy max 3.60 mm 14 3.00 wy min -3.60 mm 14 3.00 wySchiene max 5.99 mm 14 3.00 wySchiene min -5.99 mm 14 3.00 Ausn.wy 0.60 14 3.00 dwy max 11.97 mm 14 3.00 Ausn.dwy 1.20 14 3.00 wz max 5.12 mm 3 3.00 wz min -2.13 mm 3 9.00 Ausn.wz 0.43 3 3.00 dwz max 4.96 mm 3 3.00 Ausn.dwz1 0.41 3 3.00 Phix max 15.90 rad/1000 14 3.00 Phix min -15.90 rad/1000 14 3.00Schnittgrößen Vy max 19.74 kN 16 5.85 Vy min -19.74 kN 16 5.85 Vz max 113.2 kN 20 6.00 Vz min -113.2 kN 15 6.00 Mx max 3.75 kNm 20 6.00 Mx min -3.75 kNm 20 6.00 My max 97.42 kNm 15 2.25 My min -86.30 kNm 4 6.00 Mz max 24.89 kNm 19 2.55 Mz min -24.89 kNm 19 2.55 Mw max 2.66 kNm² 17 2.40 Mw min -2.66 kNm² 17 2.40Spannungen x min -89.38 MN/m² 4 6.00 x max 134.1 MN/m² 15 2.25 XZ 60.41 MN/m² 20 6.00 V 142.2 MN/m² 15 2.25 Ausn. 0.61 15 2.25Stegansatz (Tau) x max 36.35 MN/m² 4 6.00 x min -41.83 MN/m² 15 2.25 XZ max 58.05 MN/m² 20 6.00 z Rad -37.49 MN/m² 1 0.00 XZ Rad 7.50 MN/m² 1 0.00 V 122.1 MN/m² 20 6.15 Ausn. 0.52 20 6.15Stegansatz (Sx) x max 36.35 MN/m² 4 6.00 x min -41.83 MN/m² 15 2.25 XZ max 58.05 MN/m² 20 6.00 z Rad -37.49 MN/m² 1 0.00 XZ Rad 7.50 MN/m² 1 0.00 V 122.1 MN/m² 20 6.15 Ausn. 0.52 20 6.15 Ermüdung Schnittgrößen Vz max 120.2 kN -- 6.00 Vz min -120.2 kN -- 6.00 My max 103.6 kNm -- 2.25 My min -91.53 kNm -- 6.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 8 Ermüdung Schienenanschluss rechts x max 54.55 MN/m² -- 6.00 x min -61.72 MN/m² -- 2.25 XZ max 8.39 MN/m² -- 6.00 z Rad -39.93 MN/m² -- 0.00 XZ Rad 7.99 MN/m² -- 0.00 Ausns-naht 0.94 -- 0.00 Ausn. 0.27 -- 3.00Schienenanschluss links x max 54.55 MN/m² -- 6.00 x min -61.72 MN/m² -- 2.25 XZ max 8.39 MN/m² -- 6.00 z Rad -39.93 MN/m² -- 0.00 XZ Rad 7.99 MN/m² -- 0.00 Ausns-naht 0.94 -- 0.00 Ausn. 0.27 -- 3.00Stegansatz (Tau) x max 37.82 MN/m² -- 6.00 x min -42.79 MN/m² -- 2.25 XZ max 37.99 MN/m² -- 6.00 z Rad -39.93 MN/m² -- 0.00 XZ Rad 7.99 MN/m² -- 0.00 Ausn. 0.39 -- 5.85Stegansatz (Sx) x max 37.82 MN/m² -- 6.00 x min -42.79 MN/m² -- 2.25 XZ max 37.99 MN/m² -- 6.00 z Rad -39.93 MN/m² -- 0.00 XZ Rad 7.99 MN/m² -- 0.00 Ausn. 0.16 -- 0.00

Ergebnisse für Nachweis 'Tragsicherheit S/V'

Extremale Schnittgrößen aus Kranstellungen

Bei x= Vy Vz Mx My Mz Mw

[m] [kN] [kN] [kNm] [kNm] [kNm] [kNm²]0.00 -16.87 -10.11 -3.21 0.00 0.00 0.00

26.16 145.97 4.98 0.00 0.00 0.001.80 -8.33 -41.06 -1.46 -20.52 -26.46 -2.24

14.70 64.17 2.95 133.63 19.80 2.882.25 -12.30 -50.32 -2.18 -26.66 -33.07 -2.25

13.93 58.66 2.81 147.11 20.34 3.582.40 -13.07 -55.29 -2.32 -28.71 -33.44 -2.26

13.17 53.83 2.66 146.21 20.51 3.592.55 -13.83 -60.12 -2.47 -30.76 -33.59 -2.26

10.97 45.65 2.25 145.30 20.69 3.593.00 -16.03 -73.70 -2.88 -36.89 -32.91 -2.27

10.34 36.03 1.86 142.58 21.22 3.525.85 -26.65 -170.45 -5.06 -121.98 -10.63 -2.01

12.12 0.00 2.21 8.71 15.20 1.376.00 -15.67 0.00 -3.08 -129.82 -10.05 -2.09

26.65 170.72 5.06 0.00 15.59 1.347.80 -9.60 -10.32 -1.73 -56.49 -19.58 -2.29

19.45 88.92 3.56 94.20 21.94 2.309.00 -10.97 -44.84 -2.25 -36.89 -32.91 -2.38

9.94 60.92 1.75 142.58 23.46 3.529.75 -10.97 -63.37 -2.25 -26.66 -26.23 -2.29

9.94 41.86 1.86 147.11 20.82 2.71


CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 9


[m] [kN] [kN] [kNm] [kNm] [kNm] [kNm²]10.20 -17.06 -72.63 -3.38 -20.52 -30.70 -1.72

9.26 23.93 1.86 133.63 16.66 3.4812.00 -26.16 -145.97 -4.98 0.00 0.00 0.00

12.00 10.11 2.20 0.00 0.00 0.00

Vy

-20.00

-10.00

0.00

10.00

20.00

-26.16 kN

26.65 kN

-26.65 kN

26.16 kN

0.00

5.85

5.85

6.00

6.00

12.0

0

Vz

-150.00

-100.00

-50.00

0.00

50.00

100.00

150.00

-145.97 kN

170.72 kN145.97 kN

0.0

0

6.0

06

.00

12.

00

Mx

-5.00-3.75-2.50-1.250.001.252.503.755.00

-4.98 kNm

5.06 kNm

-5.06 kNm

4.98 kNm

0.00

5.85

5.85

6.00

6.00

12.0

0

My

-100.00

-50.00

0.00

50.00

100.00 147.11 kNm

-129.82 kNm

147.11 kNm

2.2

5

6.0

0

9.7

5


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Mz

-30.00

-20.00

-10.00

0.00

10.00

20.00

-32.91 kNm

21.94 kNm15.59 kNm

-33.59 kNm

2.5

5

6.00

7.80

9.00

Mw

-2.00

-1.00

0.00

1.00

2.00

3.003.52 kNm²

-2.09 kNm²

3.59 kNm²

2.5

5

6.0

0

9.0

0

Extremale Spannungen aus Kranstellungen

Bei x= x min x max xz v Ausn.[m] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [-]

0.00 0.00 0.00 73.56 127.41 0.542.25 -95.65 181.07 35.02 192.04 0.822.55 -95.10 179.58 32.71 188.82 0.806.00 -120.66 77.37 81.55 154.41 0.669.00 -93.83 177.65 29.74 189.36 0.819.45 -94.64 152.99 28.49 161.29 0.69

12.00 0.00 0.00 64.02 110.88 0.47

Min SigmaX

-112.50-100.00-87.50-75.00-62.50-50.00-37.50-25.00-12.500.00

-120.66 MN/m²

6.0

0


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Max SigmaX 0.0025.0050.0075.00100.00125.00150.00175.00

177.65 MN/m²

77.37 MN/m²

181.07 MN/m²

2.2

5

6.0

0

9.0

0

TauXZ

0.0010.0020.0030.0040.0050.0060.0070.0080.00

64.02 MN/m²

29.47 MN/m²

81.55 MN/m²

33.08 MN/m²

73.56 MN/m²

0.0

0

2.5

52

.55

6.0

06

.00

9.4

59

.45

12

.00

SigmaV

0.0025.0050.0075.00100.00125.00150.00175.00

110.88 MN/m²

189.36 MN/m²

154.41 MN/m²

192.04 MN/m²

127.41 MN/m²

0.0

0

2.2

5

6.0

0

9.0

0

12.

00

Ausnutzung

0.00

0.130.250.380.500.630.75

0.47

0.81

0.66

0.82

0.54

0.0

0

2.2

5

6.0

0

9.0

0

12.

00

Extremale Spannungen an Querschnittspunkten

Stegansatz (Tau)

Bei x= x dx xz dxz z rad xz rad v Ausn.[m] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [-]

0.00 0.00 0.00 70.84 70.84 -56.83 11.37 122.71 0.522.25 -62.13 73.21 33.33 33.33 -56.83 11.37 98.64 0.422.55 -61.39 74.17 31.59 31.59 -56.83 11.37 98.03 0.423.00 -60.28 75.61 37.93 37.93 -56.83 11.37 97.10 0.415.85 50.42 54.10 66.49 66.49 -56.83 11.37 148.86 0.636.00 53.64 53.64 78.37 78.37 -56.83 11.37 138.34 0.596.15 50.83 54.51 68.46 68.46 -56.83 11.37 164.86 0.709.00 -60.28 75.61 28.47 28.47 -56.83 11.37 96.58 0.419.45 -60.28 73.06 27.71 27.71 -56.83 11.37 90.21 0.389.75 -62.13 73.21 31.07 31.07 -56.83 11.37 94.73 0.40

12.00 0.00 0.00 61.89 61.89 -56.83 11.37 107.20 0.46


CS-KRAN/S2 2013.06 16.04.13 08:35:19


SigmaX

-50.00-37.50-25.00-12.500.0012.5025.0037.5050.00

-62.13 MN/m²

53.64 MN/m²

-62.13 MN/m²

2.2

5

6.00

9.75

TauXZ

0.0010.0020.0030.0040.0050.0060.0070.00

61.89 MN/m²

28.22 MN/m²

78.37 MN/m²

31.59 MN/m²

70.84 MN/m²

0.0

0

2.5

52

.55

6.0

06

.00

9.4

59

.45

12

.00

SigmaZ(Rad)

-50.00

-40.00

-30.00

-20.00

-10.00

0.00

-56.83 MN/m²-56.83 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.001.252.503.755.006.257.508.7510.0011.25

11.37 MN/m²11.37 MN/m²

0.00

12

.00

SigmaV

0.00

25.0050.0075.00

100.00125.00150.00

107.20 MN/m²90.21 MN/m²

164.86 MN/m²

138.34 MN/m²148.86 MN/m²

97.10 MN/m²

122.71 MN/m²

0.0

0

3.0

0

5.8

56

.00

6.1

5

9.4

5

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Ausnutzung 0.00

0.13

0.25

0.38

0.50

0.63

0.46 0.38

0.70

0.59 0.63

0.41 0.52

0.0

0

3.0

0

5.8

56

.00

6.1

5

9.4

5

12.

00

Stegansatz (Sx)


0.00 0.00 0.00 70.84 70.84 -56.83 11.37 122.71 0.522.25 -62.13 73.21 33.33 33.33 -56.83 11.37 98.64 0.422.55 -61.39 74.17 31.59 31.59 -56.83 11.37 98.03 0.423.00 -60.28 75.61 37.93 37.93 -56.83 11.37 97.10 0.415.85 50.42 54.10 66.49 66.49 -56.83 11.37 148.86 0.636.00 53.64 53.64 78.37 78.37 -56.83 11.37 138.34 0.596.15 50.83 54.51 68.46 68.46 -56.83 11.37 164.86 0.709.00 -60.28 75.61 28.47 28.47 -56.83 11.37 96.58 0.419.45 -60.28 73.06 27.71 27.71 -56.83 11.37 90.21 0.389.75 -62.13 73.21 31.07 31.07 -56.83 11.37 94.73 0.40

12.00 0.00 0.00 61.89 61.89 -56.83 11.37 107.20 0.46

SigmaX

-50.00-37.50-25.00-12.500.0012.5025.0037.5050.00

-62.13 MN/m²

53.64 MN/m²

-62.13 MN/m²

2.2

5

6.00

9.75

TauXZ

0.0010.0020.0030.0040.0050.0060.0070.00

61.89 MN/m²

28.22 MN/m²

78.37 MN/m²

31.59 MN/m²

70.84 MN/m²

0.0

0

2.5

52

.55

6.0

06

.00

9.4

59

.45

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


SigmaZ(Rad)

-50.00

-40.00

-30.00

-20.00

-10.00

0.00

-56.83 MN/m²-56.83 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.001.252.503.755.006.257.508.7510.0011.25

11.37 MN/m²11.37 MN/m²

0.00

12

.00

SigmaV

0.00

25.0050.0075.00

100.00125.00150.00

107.20 MN/m²90.21 MN/m²

164.86 MN/m²

138.34 MN/m²148.86 MN/m²

97.10 MN/m²

122.71 MN/m²

0.0

0

3.0

0

5.8

56

.00

6.1

5

9.4

5

12

.00

Ausnutzung

0.00

0.13

0.25

0.38

0.50

0.63

0.46 0.38

0.70

0.59 0.63

0.41 0.52

0.0

0

3.0

0

5.8

56

.00

6.1

5

9.4

5

12.

00

Beulen

Fib = Ausnutzung aus Flansch induziertem Stegblechbeulen Fy = Quetschgrenze Tragsicherheit S/V (Beulen) Wert Kranst. x=Beulfeld-1 Blech-1 0.45 15 2.25 Blech-2 0.44 13 3.00 Blech-3 0.37 12 6.00 Blech-4 0.58 4 6.00 Blech-5 0.40 12 0.00 Fib 0.09 -- -- Fy 766.9 kN -- --Beulfeld-2 Blech-1 0.45 22 9.00 Blech-2 0.45 20 9.75 Blech-3 0.37 12 6.00 Blech-4 0.57 4 6.00 Blech-5 0.37 20 6.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 15 Tragsicherheit S/V (Beulen) Wert Kranst. x= Fib 0.09 -- -- Fy 766.9 kN -- --

Biegedrillknicken

Extremale Schnittgrößen Biegedrillknicken

Bei x= N Vy Vz Mx My Mz Mw

[m] [kN] [kN] [kN] [kNm] [kNm] [kNm] [kNm²]0.00 -0.00 -5.70 -9.46 -1.66 -0.01 -0.02 0.00

0.60 21.87 115.59 4.89 0.00 0.01 0.000.90 -0.01 -6.16 -11.07 -1.68 -9.72 -20.60 -0.45

0.43 21.21 102.40 4.71 103.31 5.50 3.032.25 -0.06 -13.67 -50.13 -2.41 -26.32 -36.33 -1.48

0.07 15.19 58.49 3.34 146.71 14.11 4.312.40 -0.05 -14.59 -55.09 -2.61 -28.35 -36.73 -1.62

0.05 14.35 53.66 3.14 144.87 15.10 4.312.55 -0.04 -15.50 -59.89 -2.80 -30.37 -36.87 -1.77

0.04 11.77 40.65 2.61 141.96 16.09 4.303.45 -0.01 -17.80 -78.20 -3.42 -43.72 -27.75 -2.92

0.10 13.32 11.61 2.86 131.86 21.84 3.165.85 -0.23 -26.67 -170.44 -5.16 -116.65 -10.85 -2.56

0.49 11.92 0.00 2.86 2.01 16.10 1.676.00 -0.25 -15.65 0.00 -3.01 -129.61 -10.84 -2.84

0.42 22.59 128.81 4.73 0.00 16.53 1.837.50 -0.02 -13.23 0.00 -2.20 -61.38 -21.00 -1.70

0.30 20.97 103.74 4.31 92.69 18.63 2.917.80 -0.02 -9.69 -10.30 -2.19 -56.48 -20.53 -2.14

0.24 21.16 88.73 4.28 94.14 22.65 2.579.00 -0.02 -11.94 -44.70 -2.51 -36.89 -36.06 -2.30

0.05 10.93 60.70 2.16 142.17 20.36 4.229.45 -0.03 -11.85 -53.39 -2.61 -30.75 -30.49 -3.18

0.05 10.92 42.27 2.31 141.96 24.96 3.3911.10 -0.00 -17.78 -113.98 -4.16 -9.86 -16.53 -1.53

0.48 11.33 11.22 2.48 103.31 10.20 1.9812.00 -0.00 -16.95 -145.99 -4.13 -0.01 -0.02 0.00

0.60 12.12 9.61 2.44 0.00 0.01 0.00

N -0.25

-0.130.000.130.25

0.380.50

0.60 kN

0.05 kN

0.48 kN

-0.05 kN

0.60 kN

0.0

0

2.4

0

6.0

06

.00

9.4

5

12.

00

Vy

-20.00

-10.00

0.00

10.00

20.00

-16.95 kN

24.13 kN

-26.67 kN

22.89 kN21.87 kN

0.0

0

0.9

00

.90

6.0

06

.00

7.5

07

.50

12.

00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Vz

-150.00

-100.00

-50.00

0.00

50.00

100.00

-145.99 kN-170.70 kN

115.59 kN

0.0

0

6.0

06

.00

12

.00

Mx

-5.00-3.75-2.50-1.250.001.252.503.75

-4.13 kNm

4.84 kNm

-5.15 kNm-5.16 kNm

4.93 kNm4.89 kNm

0.00

0.90

0.90

5.85

5.85

6.00

6.00

7.50

7.50

12.0

0

My

-100.00

-50.00

0.00

50.00

100.00

-0.01 kNm

142.17 kNm

-129.61 kNm

146.71 kNm

-0.01 kNm

0.0

0

2.2

5

6.0

0

9.0

0

12.

00

Mz

-30.00

-20.00

-10.00

0.00

10.00

20.00

-0.02 kNm

-36.06 kNm

22.66 kNm16.54 kNm

-36.87 kNm

-0.02 kNm

0.0

0

2.5

5

6.0

0

7.8

0

9.0

0

12.

00

Mw

-3.00-2.00-1.000.001.002.003.004.00

4.22 kNm²

-2.84 kNm²

4.31 kNm²

2.2

5

6.0

0

9.0

0


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Extremale Ausnutzung Biegedrillknicken

Bei x= Ausn.[m] [-]

0.00 0.412.25 0.534.20 0.446.00 0.45

10.20 0.5511.85 0.4512.00 0.45

Ausnutzung 0.000.060.130.190.250.310.380.440.50

0.45 0.45

0.55 0.51

0.44

0.56

0.41

0.0

0

2.2

52

.25

4.2

04

.20

6.0

06

.00

10.

201

0.20

11.

851

1.85

12.

00

Extremale Auflagerkräfte

Die charakteristischen Auflagerkräfte wurden mit um 0.1 abgeminderten Schwingbeiwerten ermittelt. Bei x= Ay Az AMx

[m] [kN] [kN] [kNm]0.00 -12.04 -6.22 -2.45

20.00 103.02 3.806.00 -9.54 9.95 -1.80

20.00 144.73 3.8012.00 -8.38 -6.22 -1.64

20.00 103.02 3.80

Ay

Max=20.00 kN

Min=-12.04 kN

Max=20.00 kN

Min=-9.54 kN

Max=20.00 kN

Min=-9.54 kN

Max=20.00 kN

Min=-8.38 kN-10.00

-5.000.00

5.0010.00

15.0020.00

0.00

6.00

6.00

12.0

0

Az

Max=103.02 kN

Min=-6.22 kN

Max=144.73 kN

Min=9.95 kN

Max=144.73 kN

Min=9.95 kN

Max=103.02 kN

Min=-6.22 kN

0.00

25.00

50.00

75.00

100.00

125.00

0.0

0

6.0

06

.00

12.

00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


AMx

Max=3.80 kNm

Min=-2.45 kNm

Max=3.80 kNm

Min=-1.80 kNm

Max=3.80 kNm

Min=-1.80 kNm

Max=3.80 kNm

Min=-1.64 kNm-2.00

-1.000.00

1.00

2.00

3.00

0.0

0

6.0

06

.00

12

.00

Ergebnisse für Nachweis 'Tragsicherheit A'


Bei x= Vz My

[m] [kN] [kNm]0.00 -9.00 0.00

96.63 0.002.25 -33.20 -20.25

38.87 97.426.00 0.00 -86.30

113.17 0.009.75 -41.80 -20.25

27.99 97.4212.00 -96.63 0.00

9.00 0.00

Vz

-100.00-75.00-50.00-25.000.0025.0050.0075.00100.00

-96.63 kN

113.17 kN96.63 kN

0.0

0

6.0

06

.00

12

.00

My

-75.00

-50.00

-25.000.00

25.0050.00

75.0097.42 kNm

-86.30 kNm

97.42 kNm

2.2

5

6.0

0

9.7

5



0.00 0.00 0.00 32.55 56.37 0.242.25 -58.06 58.06 13.09 62.98 0.272.40 -57.70 57.70 12.29 62.82 0.274.20 -37.08 37.08 23.06 55.07 0.23


CS-KRAN/S2 2013.06 16.04.13 08:35:19



6.00 -51.43 51.43 38.12 71.87 0.317.80 -37.08 37.08 19.86 55.07 0.239.60 -57.35 57.35 13.04 61.59 0.269.75 -58.06 58.06 14.08 62.98 0.27

12.00 0.00 0.00 32.55 56.37 0.24

Min SigmaX

-50.00

-40.00

-30.00

-20.00

-10.00

0.00

-58.06 MN/m²-51.43 MN/m²

-58.06 MN/m²

2.2

5

6.00

9.75

Max SigmaX

0.00

10.00

20.00

30.00

40.00

50.00 58.06 MN/m²51.43 MN/m²

58.06 MN/m²

2.2

5

6.0

0

9.7

5

TauXZ

0.005.0010.0015.0020.0025.0030.0035.00

32.55 MN/m²

13.04 MN/m²

38.12 MN/m²

13.04 MN/m²

32.55 MN/m²

0.0

0

2.4

02

.40

6.0

0

9.6

09

.60

12

.00

SigmaV

0.0010.0020.0030.0040.0050.0060.0070.00

56.37 MN/m²55.07 MN/m²

71.87 MN/m²

55.07 MN/m²56.37 MN/m²

0.0

0

4.2

0

6.0

0

7.8

0

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Ausnutzung 0.000.030.060.090.130.160.190.220.250.28

0.24 0.23

0.31

0.23 0.24

0.0

0

4.2

0

6.0

0

7.8

0

12.

00


Stegansatz (Tau)


0.00 0.00 0.00 30.53 30.53 -37.49 7.50 52.89 0.232.25 -40.26 48.62 12.33 12.33 -37.49 7.50 53.93 0.232.40 -40.01 48.93 11.53 11.53 -37.49 7.50 53.92 0.233.00 -39.01 50.16 15.40 15.40 -37.49 7.50 53.86 0.235.85 33.50 35.91 35.70 35.70 -37.49 7.50 87.41 0.376.00 35.66 35.66 35.76 35.76 -37.49 7.50 65.00 0.286.15 33.77 36.19 30.37 30.37 -37.49 7.50 87.41 0.379.00 -39.01 50.16 12.74 12.74 -37.49 7.50 53.86 0.239.45 -38.97 48.46 11.60 11.60 -37.49 7.50 51.66 0.229.60 -39.76 48.69 12.29 12.29 -37.49 7.50 52.12 0.229.75 -40.26 48.62 13.21 13.21 -37.49 7.50 52.95 0.23

12.00 0.00 0.00 30.53 30.53 -37.49 7.50 52.89 0.23

SigmaX

-40.00-30.00-20.00-10.000.0010.0020.0030.00

-40.26 MN/m²

35.66 MN/m²

-40.26 MN/m²

2.2

5

6.0

0

9.7

5

TauXZ

0.005.0010.0015.0020.0025.0030.0035.00

30.53 MN/m²

12.29 MN/m²

35.76 MN/m²

12.29 MN/m²

30.53 MN/m²

0.0

0

2.4

02

.40

6.0

0

9.6

09

.60

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


SigmaZ(Rad)

-35.00-30.00-25.00-20.00-15.00-10.00-5.000.00

-37.49 MN/m²-37.49 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.001.002.003.004.005.006.007.00

7.50 MN/m²7.50 MN/m²

0.0

0

12.

00

SigmaV

0.0010.0020.0030.0040.0050.0060.0070.0080.00

52.89 MN/m²51.66 MN/m²

87.41 MN/m²

65.00 MN/m²

87.41 MN/m²

52.89 MN/m²

0.0

0

5.8

56

.00

6.1

5

9.4

5

12

.00

Ausnutzung

0.00

0.06

0.13

0.19

0.25

0.31

0.23 0.22

0.37

0.28

0.37

0.23

0.0

0

5.8

56

.00

6.1

5

9.4

5

12.

00

Stegansatz (Sx)


0.00 0.00 0.00 30.53 30.53 -37.49 7.50 52.89 0.232.25 -40.26 48.62 12.33 12.33 -37.49 7.50 53.93 0.232.40 -40.01 48.93 11.53 11.53 -37.49 7.50 53.92 0.233.00 -39.01 50.16 15.40 15.40 -37.49 7.50 53.86 0.235.85 33.50 35.91 35.70 35.70 -37.49 7.50 87.41 0.376.00 35.66 35.66 35.76 35.76 -37.49 7.50 65.00 0.286.15 33.77 36.19 30.37 30.37 -37.49 7.50 87.41 0.379.00 -39.01 50.16 12.74 12.74 -37.49 7.50 53.86 0.239.45 -38.97 48.46 11.60 11.60 -37.49 7.50 51.66 0.229.60 -39.76 48.69 12.29 12.29 -37.49 7.50 52.12 0.229.75 -40.26 48.62 13.21 13.21 -37.49 7.50 52.95 0.23

12.00 0.00 0.00 30.53 30.53 -37.49 7.50 52.89 0.23


CS-KRAN/S2 2013.06 16.04.13 08:35:19


SigmaX

-40.00-30.00-20.00-10.000.0010.0020.0030.00

-40.26 MN/m²

35.66 MN/m²

-40.26 MN/m²

2.2

5

6.00

9.75

TauXZ

0.005.0010.0015.0020.0025.0030.0035.00

30.53 MN/m²

12.29 MN/m²

35.76 MN/m²

12.29 MN/m²

30.53 MN/m²

0.0

0

2.4

02

.40

6.0

0

9.6

09

.60

12

.00

SigmaZ(Rad)

-35.00-30.00-25.00-20.00-15.00-10.00-5.000.00

-37.49 MN/m²-37.49 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.001.002.003.004.005.006.007.00

7.50 MN/m²7.50 MN/m²

0.0

0

12.

00

SigmaV

0.0010.0020.0030.0040.0050.0060.0070.0080.00

52.89 MN/m²51.66 MN/m²

87.41 MN/m²

65.00 MN/m²

87.41 MN/m²

52.89 MN/m²

0.0

0

5.8

56

.00

6.1

5

9.4

5

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Ausnutzung 0.00

0.06

0.13

0.19

0.25

0.31

0.23 0.22

0.37

0.28

0.37

0.23

0.0

0

5.8

56

.00

6.1

5

9.4

5

12.

00

Beulen

Fib = Ausnutzung aus Flansch induziertem Stegblechbeulen Fy = Quetschgrenze Tragsicherheit A (Beulen) Wert Kranst. x=Beulfeld-1 Blech-1 0.27 15 2.25 Blech-2 0.27 15 2.25 Blech-3 0.24 4 6.00 Blech-4 0.24 4 6.00 Blech-5 0.19 15 2.25 Fib 0.09 -- -- Fy 766.9 kN -- --Beulfeld-2 Blech-1 0.27 20 9.75 Blech-2 0.27 20 9.75 Blech-3 0.24 4 6.00 Blech-4 0.24 4 6.00 Blech-5 0.19 20 9.75 Fib 0.09 -- -- Fy 766.9 kN -- --

Biegedrillknicken



[m] [kN] [kN] [kN] [kNm] [kNm] [kNm] [kNm²]0.00 0.00 -0.02 -6.01 -0.05 -0.00 -0.00 0.00

0.26 0.00 96.63 0.57 0.00 0.00 0.002.25 -0.02 -0.14 -33.19 -0.35 -17.26 -0.34 -0.03

0.03 0.13 38.70 0.47 97.42 0.03 0.612.40 -0.02 -0.16 -36.50 -0.38 -18.61 -0.35 -0.03

0.03 0.12 35.49 0.44 96.22 0.03 0.612.55 -0.01 -0.18 -39.70 -0.40 -19.96 -0.34 -0.03

0.02 0.09 30.07 0.37 94.32 0.03 0.613.00 0.00 -0.20 -45.53 -0.48 -24.01 -0.33 -0.04

0.02 0.07 23.66 0.28 94.39 0.04 0.604.20 -0.01 -0.17 -68.48 -0.61 -37.20 -0.09 -0.11

0.10 0.00 0.00 0.02 62.21 0.05 0.326.00 -0.12 -0.00 0.00 -0.03 -86.30 -0.00 -0.60

0.21 0.02 113.17 0.62 0.00 0.10 0.037.80 -0.01 -0.00 -6.52 -0.09 -37.20 -0.09 -0.11

0.10 0.17 58.95 0.55 62.21 0.05 0.329.00 -0.01 -0.10 -29.47 -0.36 -24.01 -0.33 -0.04

0.02 0.16 37.30 0.39 94.39 0.04 0.609.45 -0.01 -0.09 -30.07 -0.37 -19.96 -0.32 -0.03

0.02 0.16 36.70 0.38 90.69 0.03 0.569.60 -0.02 -0.14 -38.50 -0.47 -18.61 -0.35 -0.03

0.03 0.14 33.39 0.36 96.22 0.03 0.619.75 -0.02 -0.15 -41.80 -0.49 -17.26 -0.34 -0.03


CS-KRAN/S2 2013.06 16.04.13 08:35:19



[m] [kN] [kN] [kN] [kNm] [kNm] [kNm] [kNm²] 0.03 0.06 16.32 0.18 97.42 0.03 0.61

12.00 0.00 -0.00 -96.63 -0.57 -0.00 -0.00 0.00 0.26 0.02 6.01 0.05 0.00 0.00 0.00

N

-0.06

0.00

0.06

0.13

0.19

0.25

0.26 kN

0.02 kN

0.21 kN

0.02 kN

0.26 kN

0.00

2.5

5

6.0

06

.00

9.4

5

12

.00

Vy

-0.19

-0.13

-0.06

0.00

0.06

0.13

0.19

0.02 kN

-0.15 kN

0.20 kN

0.02 kN

-0.20 kN

0.15 kN

-0.02 kN

0.0

0

2.2

52

.25

3.0

03

.00

6.0

06

.00

9.0

09

.00

9.7

59

.75

12.

00

Vz

-100.00-75.00-50.00-25.000.0025.0050.0075.00100.00

-96.63 kN

113.17 kN96.63 kN

0.0

0

6.0

06

.00

12

.00

Mx

-0.50-0.38-0.25-0.130.000.130.250.380.50

-0.57 kNm

0.62 kNm0.57 kNm

0.00

6.00

6.00

12.0

0


CS-KRAN/S2 2013.06 16.04.13 08:35:19


My

-75.00

-50.00

-25.000.00

25.0050.00

75.0097.42 kNm

-86.30 kNm

97.42 kNm

2.2

5

6.0

0

9.7

5

Mz

-0.31-0.25-0.19-0.13-0.060.000.06

-0.00 kNm

-0.35 kNm

0.10 kNm

-0.35 kNm

-0.00 kNm

0.0

0

2.4

0

6.0

0

9.6

0

12.

00

Mw

-0.50-0.38-0.25-0.130.000.130.250.380.50

0.61 kNm²

-0.60 kNm²

0.61 kNm²

2.2

5

6.0

0

9.6

0


Bei x= Ausn.[m] [-]

0.00 0.254.20 0.196.00 0.307.80 0.18

12.00 0.25

Ausnutzung 0.000.030.060.090.130.160.190.220.250.28

0.25

0.19

0.30

0.19

0.25

0.0

0

4.2

04

.20

6.0

0

7.8

07

.80

12.

00


Die charakteristischen Auflagerkräfte wurden mit um 0.1 abgeminderten Schwingbeiwerten ermittelt.


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Bei x= Az

[m] [kN]0.00 -6.01

100.796.00 9.95

141.7312.00 -6.01

100.79

Az

Max=100.79 kN

Min=-6.01 kN

Max=141.73 kN

Min=9.95 kN

Max=141.73 kN

Min=9.95 kN

Max=100.79 kN

Min=-6.01 kN

0.00

25.00

50.00

75.00

100.00

125.00

0.0

0

6.0

06

.00

12.

00

Ergebnisse für Nachweis 'Tragsicherheit Prüflast'




13.33 41.11 2.44 0.00 0.00 0.001.80 -7.86 -10.13 -1.61 -4.28 -18.51 -2.49

10.28 17.36 2.06 38.13 22.00 1.912.25 -9.07 -13.15 -1.61 -5.35 -23.14 -2.50

9.98 15.33 2.01 41.78 22.60 2.542.55 -9.68 -16.10 -1.72 -6.06 -24.67 -2.51

8.69 11.53 1.75 41.16 22.99 2.603.00 -10.66 -20.25 -1.93 -7.13 -26.06 -2.52

11.49 8.42 2.07 40.23 23.58 2.646.00 -17.41 0.00 -3.42 -39.87 -11.17 -1.49

13.47 49.56 2.45 0.00 11.17 1.499.00 -9.68 -10.72 -1.72 -7.13 -23.58 -2.64

8.69 16.91 1.75 40.23 26.06 2.529.75 -7.86 -16.55 -1.61 -5.35 -18.80 -2.54

10.28 10.94 2.06 41.78 23.14 1.9411.85 -18.75 -40.84 -3.57 -0.36 -2.81 -0.46

13.33 2.38 2.44 6.15 2.00 0.5012.00 -18.75 -41.11 -3.57 0.00 0.00 0.00

13.33 2.38 2.44 0.00 0.00 0.00

Vy

-15.00

-10.00

-5.00

0.00

5.00

10.00

-18.75 kN-18.75 kN

-13.55 kN

13.47 kN

-18.75 kN

0.0

0

3.6

03

.60

7.8

07

.80

11.

851

1.85

12.

00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Vz

-40.00-30.00-20.00-10.000.0010.0020.0030.0040.00

-41.11 kN

49.56 kN41.11 kN

0.00

6.00

6.00

12.0

0

Mx

-3.00

-2.00

-1.00

0.00

1.00

2.00

-3.57 kNm-3.57 kNm

-2.57 kNm

2.45 kNm

-3.57 kNm

0.00

3.60

3.60

7.80

7.80

11.8

511

.85

12.0

0

My

-30.00-20.00-10.000.0010.0020.0030.0040.00

41.78 kNm

-39.87 kNm

41.78 kNm

2.2

5

6.0

0

9.7

5

Mz

-20.00

-10.00

0.00

10.00

20.00

-22.00 kNm

26.06 kNm

11.17 kNm

-26.06 kNm

22.00 kNm

1.8

0

3.00

6.00

9.00

10.2

0


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Mw

-2.00

-1.00

0.00

1.00

2.002.49 kNm²

-2.64 kNm²

1.49 kNm²

2.64 kNm²

-2.49 kNm²

1.8

0

3.0

0

6.0

0

9.0

0

10

.20



0.00 0.00 0.00 41.88 72.54 0.312.55 -56.05 99.82 20.32 107.13 0.463.00 -59.76 100.42 24.32 107.95 0.464.20 -66.07 84.25 30.68 99.61 0.426.00 -53.13 25.03 40.67 82.37 0.357.80 -66.07 84.25 29.00 99.61 0.429.00 -59.76 100.42 20.39 107.95 0.469.45 -54.60 99.82 22.46 107.13 0.46

12.00 0.00 0.00 41.88 72.54 0.31

Min SigmaX

-60.00

-50.00

-40.00

-30.00

-20.00

-10.00

0.00

-66.07 MN/m²

-53.13 MN/m²

-66.07 MN/m²

4.2

0

6.00

7.80

Max SigmaX

0.0012.5025.0037.5050.0062.5075.0087.50100.00

100.42 MN/m²

25.03 MN/m²

100.42 MN/m²

3.0

0

6.0

0

9.0

0


CS-KRAN/S2 2013.06 16.04.13 08:35:19


TauXZ 0.005.0010.0015.0020.0025.0030.0035.0040.00

41.88 MN/m²

22.46 MN/m²22.46 MN/m²

41.88 MN/m²

0.0

0

2.5

52

.55

9.4

59

.45

12

.00

SigmaV

0.0012.5025.0037.5050.0062.5075.0087.50100.00

72.54 MN/m²

107.95 MN/m²

82.37 MN/m²

107.95 MN/m²

72.54 MN/m²

0.0

0

3.0

0

6.0

0

9.0

0

12

.00

Ausnutzung

0.000.060.130.190.250.310.380.44

0.31

0.46

0.35

0.46

0.31

0.0

0

3.0

0

6.0

0

9.0

0

12.

00


Stegansatz (Tau)


0.00 0.00 0.00 31.60 31.60 -14.85 2.97 54.72 0.232.25 -18.75 21.02 16.94 16.94 -14.85 2.97 42.57 0.182.55 -18.51 21.08 15.34 15.34 -14.85 2.97 41.72 0.183.00 -18.14 21.17 18.28 18.28 -14.85 2.97 40.43 0.175.85 15.40 16.39 32.47 32.47 -14.85 2.97 64.82 0.286.00 16.48 16.48 32.55 32.55 -14.85 2.97 57.48 0.246.15 15.50 16.49 30.92 30.92 -14.85 2.97 64.82 0.289.00 -18.14 21.17 15.59 15.59 -14.85 2.97 40.43 0.179.45 -18.32 20.89 16.24 16.24 -14.85 2.97 37.30 0.169.75 -18.75 21.02 17.50 17.50 -14.85 2.97 39.92 0.17

12.00 0.00 0.00 31.60 31.60 -14.85 2.97 54.72 0.23


CS-KRAN/S2 2013.06 16.04.13 08:35:19


SigmaX

-15.00

-10.00

-5.00

0.00

5.00

10.00

15.00

-18.75 MN/m²

16.48 MN/m²

-18.75 MN/m²

2.2

5

6.00

9.75

TauXZ

0.00

5.00

10.0015.00

20.0025.0030.00

31.60 MN/m²

16.24 MN/m²

32.55 MN/m²

16.24 MN/m²

31.60 MN/m²

0.0

0

2.5

52

.55

6.0

0

9.4

59

.45

12

.00

SigmaZ(Rad)

-12.50

-10.00

-7.50

-5.00

-2.50

0.00

-14.85 MN/m²-14.85 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.00

0.50

1.001.50

2.00

2.50 2.97 MN/m²2.97 MN/m²

0.0

0

12.

00

SigmaV

0.00

10.00

20.0030.00

40.0050.00

60.00

54.72 MN/m²

37.30 MN/m²

64.82 MN/m²57.48 MN/m²

64.82 MN/m²

40.43 MN/m²

54.72 MN/m²

0.0

0

3.0

0

5.8

56

.00

6.1

5

9.4

5

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Ausnutzung 0.000.030.060.090.130.160.190.220.25

0.23

0.16

0.28 0.24

0.28

0.17

0.23

0.0

0

3.0

0

5.8

56

.00

6.1

5

9.4

5

12.

00

Stegansatz (Sx)


0.00 0.00 0.00 31.60 31.60 -14.85 2.97 54.72 0.232.25 -18.75 21.02 16.94 16.94 -14.85 2.97 42.57 0.182.55 -18.51 21.08 15.34 15.34 -14.85 2.97 41.72 0.183.00 -18.14 21.17 18.28 18.28 -14.85 2.97 40.43 0.175.85 15.40 16.39 32.47 32.47 -14.85 2.97 64.82 0.286.00 16.48 16.48 32.55 32.55 -14.85 2.97 57.48 0.246.15 15.50 16.49 30.92 30.92 -14.85 2.97 64.82 0.289.00 -18.14 21.17 15.59 15.59 -14.85 2.97 40.43 0.179.45 -18.32 20.89 16.24 16.24 -14.85 2.97 37.30 0.169.75 -18.75 21.02 17.50 17.50 -14.85 2.97 39.92 0.17

12.00 0.00 0.00 31.60 31.60 -14.85 2.97 54.72 0.23

SigmaX

-15.00

-10.00

-5.00

0.00

5.00

10.00

15.00

-18.75 MN/m²

16.48 MN/m²

-18.75 MN/m²

2.2

5

6.00

9.75

TauXZ

0.00

5.00

10.0015.00

20.0025.0030.00

31.60 MN/m²

16.24 MN/m²

32.55 MN/m²

16.24 MN/m²

31.60 MN/m²

0.0

0

2.5

52

.55

6.0

0

9.4

59

.45

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


SigmaZ(Rad)

-12.50

-10.00

-7.50

-5.00

-2.50

0.00

-14.85 MN/m²-14.85 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.00

0.50

1.001.50

2.00

2.50 2.97 MN/m²2.97 MN/m²

0.0

0

12.

00

SigmaV

0.00

10.00

20.0030.00

40.0050.00

60.00

54.72 MN/m²

37.30 MN/m²

64.82 MN/m²57.48 MN/m²

64.82 MN/m²

40.43 MN/m²

54.72 MN/m²

0.0

0

3.0

0

5.8

56

.00

6.1

5

9.4

5

12

.00

Ausnutzung

0.000.030.060.090.130.160.190.220.25

0.23

0.16

0.28 0.24

0.28

0.17

0.23

0.0

0

3.0

0

5.8

56

.00

6.1

5

9.4

5

12.

00

Beulen

Fib = Ausnutzung aus Flansch induziertem Stegblechbeulen Fy = Quetschgrenze Tragsicherheit Prüflast (Beulen) Wert Kranst. x=Beulfeld-1 Blech-1 0.17 19 2.55 Blech-2 0.17 13 3.00 Blech-3 0.31 4 4.20 Blech-4 0.24 13 3.00 Blech-5 0.12 16 6.00 Fib 0.09 -- -- Fy 766.9 kN -- --Beulfeld-2 Blech-1 0.17 22 9.00 Blech-2 0.17 16 9.45 Blech-3 0.24 22 9.00 Blech-4 0.32 4 7.80 Blech-5 0.12 19 6.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19

Projekt: CS-STATIK Beispiele Position: Brückenkran EC Seite: 33 Tragsicherheit Prüflast (Beulen) Wert Kranst. x= Fib 0.09 -- -- Fy 766.9 kN -- --

Biegedrillknicken



[m] [kN] [kN] [kN] [kNm] [kNm] [kNm] [kNm²]0.00 -0.00 -12.20 0.00 -2.65 -0.01 -0.00 0.00

0.06 11.61 27.27 2.51 0.00 0.00 0.001.80 -0.01 -7.79 -10.01 -1.45 -2.25 -18.98 -2.71

0.02 10.51 17.22 2.26 37.82 22.54 2.092.25 -0.01 -9.32 -12.97 -1.69 -3.82 -23.78 -2.12

0.01 10.22 15.17 2.17 41.42 19.24 2.772.55 -0.00 -10.01 -15.89 -1.82 -4.86 -25.36 -1.72

0.01 8.85 10.13 1.86 40.07 17.05 2.813.00 0.00 -11.10 -19.99 -2.06 -6.43 -26.73 -1.95

0.01 7.33 8.33 1.37 35.97 19.57 2.843.45 -0.00 -11.07 -21.84 -2.08 -9.21 -21.71 -2.61

0.01 13.39 6.80 2.55 36.62 22.47 2.213.60 -0.00 -11.06 -22.85 -2.08 -10.14 -21.14 -2.55

0.02 13.87 1.14 2.65 35.13 21.64 2.004.50 -0.00 -13.97 -29.88 -2.79 -15.70 -20.42 -0.86

0.04 13.78 0.00 2.68 15.49 9.08 2.025.85 -0.01 -17.42 -49.29 -3.35 -35.65 -11.48 -1.51

0.04 13.53 0.00 2.65 0.00 11.07 1.496.00 -0.01 -17.38 0.00 -3.34 -39.61 -11.36 -1.61

0.04 13.02 49.55 2.55 0.00 11.36 1.636.15 -0.01 -16.44 0.00 -3.08 -35.65 -11.07 -1.49

0.04 13.05 42.61 2.56 0.00 11.48 1.539.00 -0.00 -10.02 -10.59 -1.87 -6.43 -24.22 -2.84

0.01 8.85 16.70 1.83 39.85 26.73 2.749.45 -0.00 -9.66 -13.43 -1.77 -4.86 -20.56 -2.81

0.01 9.90 14.72 2.08 40.07 25.36 2.209.60 -0.01 -9.32 -14.89 -1.73 -4.34 -19.34 -2.79

0.01 10.23 13.24 2.16 40.90 24.64 2.029.75 -0.01 -8.01 -16.39 -1.74 -3.82 -19.24 -2.77

0.01 10.54 10.82 2.23 41.42 23.78 2.1210.20 -0.01 -12.50 -19.40 -2.64 -2.25 -22.54 -2.09

0.02 10.51 5.58 2.26 37.81 18.98 2.7112.00 -0.00 -12.20 -27.27 -2.65 -0.01 -0.00 0.00

0.06 11.61 0.00 2.51 0.00 0.00 0.00

N

0.00

0.01

0.03

0.04

0.050.06 kN

0.01 kN

0.04 kN

0.01 kN

0.06 kN

0.00

2.5

5

6.0

06

.00

9.4

5

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Vy

-15.00

-10.00

-5.00

0.00

5.00

10.00

-12.20 kN

13.39 kN

-17.42 kN-17.38 kN-17.42 kN

13.87 kN

-12.20 kN

0.0

0

3.6

03

.60

5.8

55

.85

6.0

06

.00

6.1

56

.15

8.5

58

.55

12.

00

Vz

-40.00-30.00-20.00-10.000.0010.0020.0030.0040.00

-27.27 kN

49.55 kN

27.27 kN

0.0

0

6.0

06

.00

12

.00

Mx

-3.00

-2.00

-1.00

0.00

1.00

2.00

-2.65 kNm

2.57 kNm

-3.35 kNm-3.34 kNm-3.35 kNm-2.79 kNm-2.65 kNm

0.00

4.20

4.20

5.85

5.85

6.00

6.00

6.15

6.15

7.80

7.80

12.0

0

My

-30.00-20.00-10.000.0010.0020.0030.0040.00

-0.01 kNm

41.42 kNm

-39.61 kNm

41.42 kNm

-0.01 kNm

0.0

0

2.2

5

6.0

0

9.7

5

12.

00

Mz

-20.00

-10.00

0.00

10.00

20.00

0.00 kNm

-22.54 kNm

26.73 kNm

11.36 kNm

-26.73 kNm

22.54 kNm

-0.00 kNm

0.00

1.8

0

3.0

0

6.0

0

9.0

0

10

.20

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Mw

-2.00

-1.00

0.00

1.00

2.002.71 kNm²

-2.84 kNm²

1.63 kNm²

2.84 kNm²

-2.71 kNm²

1.8

0

3.0

0

6.0

0

9.0

0

10

.20


Bei x= Ausn.[m] [-]

0.00 0.194.20 0.316.00 0.26

10.20 0.3012.00 0.19

Ausnutzung 0.000.030.060.090.130.160.190.220.250.28

0.19

0.30 0.26

0.31

0.19

0.0

0

4.2

04

.20

6.0

0

10.

201

0.20

12.

00


Die charakteristischen Auflagerkräfte wurden mit um 0.1 abgeminderten Schwingbeiwerten ermittelt. Bei x= Ay Az AMx

[m] [kN] [kN] [kNm]0.00 -12.04 0.83 -2.29

8.38 26.46 1.536.00 -9.54 9.95 -1.68

9.54 41.58 1.6812.00 -8.38 0.83 -1.53

12.04 26.46 2.29

Ay

Max=8.38 kN

Min=-12.04 kN

Max=9.54 kN

Min=-9.54 kN

Max=9.54 kN

Min=-9.54 kN

Max=12.04 kN

Min=-8.38 kN-10.00-7.50-5.00-2.500.002.505.007.5010.00

0.00

6.00

6.00

12.0

0


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Az

Max=26.46 kN

Min=0.83 kN

Max=41.58 kN

Min=9.95 kN

Max=41.58 kN

Min=9.95 kN

Max=26.46 kN

Min=0.83 kN

0.005.0010.0015.0020.0025.0030.0035.0040.00

0.0

0

6.0

06

.00

12

.00

AMx

Max=1.53 kNm

Min=-2.29 kNm

Max=1.68 kNm

Min=-1.68 kNm

Max=1.68 kNm

Min=-1.68 kNm

Max=2.29 kNm

Min=-1.53 kNm-2.00-1.50-1.00-0.500.000.501.001.502.00

0.0

0

6.00

6.00

12.0

0

Ergebnisse für Nachweis 'Gebrauchstauglichkeit'




19.38 96.63 3.69 0.00 0.00 0.002.25 -10.32 -33.20 -2.08 -17.26 -24.50 -2.65

10.32 38.70 2.08 97.42 24.50 2.652.40 -9.76 -36.50 -1.97 -18.61 -24.77 -2.66

9.76 35.49 1.97 96.82 24.77 2.662.55 -10.24 -39.71 -1.83 -19.96 -24.89 -2.66

10.24 30.07 1.83 96.21 24.89 2.665.85 -19.74 -112.97 -3.75 -81.06 -11.41 -1.53

19.74 -4.78 3.75 0.74 11.41 1.536.00 -19.74 4.98 -3.75 -86.30 -11.55 -1.55

19.74 113.17 3.75 -5.97 11.55 1.559.00 -8.13 -29.47 -1.66 -24.01 -24.38 -2.61

8.13 40.30 1.66 94.39 24.38 2.619.75 -8.13 -41.80 -1.66 -17.26 -19.43 -2.00

8.13 27.62 1.66 97.42 19.43 2.0012.00 -19.38 -96.63 -3.69 0.00 0.00 0.00

19.38 6.01 3.69 0.00 0.00 0.00

Vy

-15.00-10.00-5.000.005.0010.0015.00

19.38 kN

11.88 kN

19.74 kN19.74 kN

10.32 kN

19.38 kN

0.0

0

2.4

02

.40

5.8

55

.85

6.1

56

.15

9.0

09

.00

12.

00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Vz

-100.00-75.00-50.00-25.000.0025.0050.0075.00100.00

-96.63 kN

113.17 kN96.63 kN

0.0

0

6.0

06

.00

12

.00

Mx

-3.00-2.00-1.000.001.002.003.00

3.69 kNm

2.14 kNm

3.75 kNm3.75 kNm

1.97 kNm

3.69 kNm

0.0

0

2.5

52

.55

5.8

55

.85

6.1

56

.15

9.0

09

.00

12

.00

My

-75.00

-50.00

-25.000.00

25.0050.00

75.0097.42 kNm

-86.30 kNm

97.42 kNm

2.2

5

6.0

0

9.7

5

Mz

-20.00-15.00-10.00-5.000.005.0010.0015.0020.00

24.38 kNm

11.55 kNm

24.89 kNm

2.5

5

6.0

0

9.0

0

Mw

-2.00

-1.00

0.00

1.00

2.002.61 kNm²

1.55 kNm²

2.66 kNm²

2.5

5

6.0

0

9.0

0


CS-KRAN/S2 2013.06 16.04.13 08:35:19




0.00 0.00 0.00 54.49 94.38 0.401.50 -65.59 121.39 27.44 136.67 0.582.25 -74.32 134.13 25.94 142.25 0.612.55 -75.09 133.02 24.23 139.86 0.604.50 -43.72 57.53 40.53 87.49 0.376.00 -89.38 51.82 60.41 114.38 0.499.00 -73.78 131.59 20.62 140.26 0.609.60 -62.90 103.42 20.69 112.55 0.48

10.50 -57.61 102.49 31.41 116.03 0.4912.00 0.00 0.00 47.42 82.14 0.35

Min SigmaX

-80.00-70.00-60.00-50.00-40.00-30.00-20.00-10.000.00

-89.38 MN/m²6

.00

Max SigmaX

0.00

25.00

50.00

75.00

100.00

125.00131.59 MN/m²

51.82 MN/m²

134.13 MN/m²

2.2

5

6.0

0

9.0

0

TauXZ

0.00

10.00

20.00

30.00

40.00

50.00

60.00

47.42 MN/m²

28.03 MN/m²

60.41 MN/m²

24.51 MN/m²

54.49 MN/m²

0.0

0

2.5

52

.55

6.0

06

.00

9.0

09

.00

12

.00

SigmaV

0.00

25.00

50.00

75.00

100.00

125.00

82.14 MN/m²

140.26 MN/m²

114.38 MN/m²

87.49 MN/m²

142.25 MN/m²

94.38 MN/m²

0.0

0

2.2

5

4.5

0

6.0

0

9.0

0

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Ausnutzung 0.000.060.130.190.250.310.380.440.500.56

0.35

0.60

0.49

0.37

0.61

0.40

0.0

0

2.2

5

4.5

0

6.0

0

9.0

0

12.

00

Extremale Verformungen

Zustandsgröße Bezeichnung GrenzwertVerformung Y-Richtung wy Verdrehung um X-Achse phix Verformung Y-Richtung incl. phix wyRad / uwy l/600Deltaverformung Y-Richtung dwy / udwy 10.0 mmVerformung Z-Richtung wz / uwz 25.0 mm und l/500Deltaverformung Z-Richtung (Träger) dwz / udwz1 l/500Deltaverformung Z-Richtung (Kranbrücke s=6.00m) dwz / udwz2 s/600

Bei x= wy phix wyRad uwy dwy udwy wz uwz dwz udwz1

[m] [mm] [rad/1000] [mm] [-] [mm] [-] [mm] [-] [mm] [-]1.50 2.68 12.01 4.47 0.45 8.95 0.89 4.08 0.34 3.94 0.333.00 3.60 15.90 5.99 0.60 11.97 1.20 5.12 0.43 4.96 0.419.00 3.60 15.89 5.99 0.60 11.97 1.20 5.12 0.43 4.96 0.41

10.50 2.56 11.62 4.24 0.42 8.48 0.85 4.08 0.34 3.94 0.33


Stegansatz (Tau)


0.00 0.00 0.00 52.48 51.53 -37.49 7.50 90.89 0.390.15 -6.17 6.62 42.85 41.97 -37.49 7.50 109.46 0.471.80 -37.20 42.83 26.38 26.19 -37.49 7.50 73.36 0.312.25 -41.83 49.17 24.69 24.45 -37.49 7.50 70.65 0.302.55 -40.97 49.46 23.40 23.14 -37.49 7.50 71.16 0.303.00 -39.68 49.88 28.10 27.78 -37.49 7.50 71.93 0.313.45 -36.77 49.06 28.29 27.78 -37.49 7.50 65.34 0.286.00 36.35 34.20 58.05 56.48 -37.49 7.50 102.48 0.446.15 34.42 34.96 50.71 49.20 -37.49 7.50 122.12 0.529.00 -40.57 50.68 19.83 19.52 -37.49 7.50 71.54 0.309.60 -40.45 48.29 19.83 19.77 -37.49 7.50 61.05 0.269.75 -40.92 48.19 19.83 19.73 -37.49 7.50 64.58 0.27

12.00 0.00 0.00 45.85 44.90 -37.49 7.50 79.41 0.34

SigmaX

-40.00-30.00-20.00-10.000.0010.0020.0030.00

-40.92 MN/m²

36.35 MN/m²

-41.83 MN/m²

2.2

5

6.00

9.75


CS-KRAN/S2 2013.06 16.04.13 08:35:19


TauXZ 0.00

10.00

20.00

30.00

40.00

50.00

45.85 MN/m²

27.08 MN/m²

58.05 MN/m²

23.40 MN/m²

52.48 MN/m²

0.0

0

2.5

52

.55

6.0

06

.00

9.0

09

.00

12

.00

SigmaZ(Rad)

-35.00-30.00-25.00-20.00-15.00-10.00-5.000.00

-37.49 MN/m²-37.49 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.001.002.003.004.005.006.007.00

7.50 MN/m²7.50 MN/m²

0.0

0

12.

00

SigmaV

0.0012.5025.0037.5050.0062.5075.0087.50100.00112.50

79.41 MN/m²61.05 MN/m²

122.12 MN/m²

102.48 MN/m²

65.34 MN/m²

109.46 MN/m²90.89 MN/m²

0.0

00

.15

3.4

5

6.0

06

.15

9.6

0

12

.00

Ausnutzung

0.000.060.130.190.250.310.380.440.50

0.34 0.26

0.52

0.44

0.28

0.47 0.39

0.0

00

.15

3.4

5

6.0

06

.15

9.6

0

12.

00

Stegansatz (Sx)


0.00 0.00 0.00 52.48 51.53 -37.49 7.50 90.89 0.390.15 -6.17 6.62 42.85 41.97 -37.49 7.50 109.46 0.471.80 -37.20 42.83 26.38 26.19 -37.49 7.50 73.36 0.31


CS-KRAN/S2 2013.06 16.04.13 08:35:19



2.25 -41.83 49.17 24.69 24.45 -37.49 7.50 70.65 0.302.55 -40.97 49.46 23.40 23.14 -37.49 7.50 71.16 0.303.00 -39.68 49.88 28.10 27.78 -37.49 7.50 71.93 0.313.45 -36.77 49.06 28.29 27.78 -37.49 7.50 65.34 0.286.00 36.35 34.20 58.05 56.48 -37.49 7.50 102.48 0.446.15 34.42 34.96 50.71 49.20 -37.49 7.50 122.12 0.529.00 -40.57 50.68 19.83 19.52 -37.49 7.50 71.54 0.309.60 -40.45 48.29 19.83 19.77 -37.49 7.50 61.05 0.269.75 -40.92 48.19 19.83 19.73 -37.49 7.50 64.58 0.27

12.00 0.00 0.00 45.85 44.90 -37.49 7.50 79.41 0.34

SigmaX

-40.00-30.00-20.00-10.000.0010.0020.0030.00

-40.92 MN/m²

36.35 MN/m²

-41.83 MN/m²

2.2

5

6.00

9.75

TauXZ

0.00

10.00

20.00

30.00

40.00

50.00

45.85 MN/m²

27.08 MN/m²

58.05 MN/m²

23.40 MN/m²

52.48 MN/m²

0.0

0

2.5

52

.55

6.0

06

.00

9.0

09

.00

12

.00

SigmaZ(Rad)

-35.00-30.00-25.00-20.00-15.00-10.00-5.000.00

-37.49 MN/m²-37.49 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.001.002.003.004.005.006.007.00

7.50 MN/m²7.50 MN/m²

0.0

0

12.

00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


SigmaV 0.0012.5025.0037.5050.0062.5075.0087.50100.00112.50

79.41 MN/m²61.05 MN/m²

122.12 MN/m²

102.48 MN/m²

65.34 MN/m²

109.46 MN/m²90.89 MN/m²

0.0

00

.15

3.4

5

6.0

06

.15

9.6

0

12

.00

Ausnutzung

0.000.060.130.190.250.310.380.440.50

0.34 0.26

0.52

0.44

0.28

0.47 0.39

0.0

00

.15

3.4

5

6.0

06

.15

9.6

0

12.

00

Ergebnisse für Nachweis 'Ermüdung'


Bei x= Vz My

[m] [kN] [kNm]0.00 -6.60 0.00

102.73 0.002.25 -35.36 -18.58

41.22 103.556.00 4.98 -91.53

120.23 -5.979.75 -44.53 -18.58

29.42 103.5512.00 -102.73 0.00

6.60 0.00

Vz

-100.00-75.00-50.00-25.000.0025.0050.0075.00100.00

-102.73 kN

120.23 kN102.73 kN

0.0

0

6.0

06

.00

12.

00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


My

-75.00-50.00-25.000.0025.0050.0075.00100.00

103.55 kNm

-91.53 kNm

103.55 kNm

2.2

5

6.0

0

9.7

5


Schienenanschluss rechts

Bei x= x dx xz dxz z rad xz rad Ausn.SN Ausn.[m] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [-] [-]

0.00 0.00 0.00 7.17 6.96 -39.93 7.99 0.94 0.002.25 -61.72 72.79 2.90 2.90 -39.93 7.99 0.94 0.272.40 -61.34 73.27 2.71 2.70 -39.93 7.99 0.94 0.272.55 -60.95 73.74 2.95 2.92 -39.93 7.99 0.94 0.273.00 -59.81 75.17 3.62 3.55 -39.93 7.99 0.94 0.275.85 51.25 51.93 8.38 8.04 -39.93 7.99 0.94 0.196.00 54.55 50.99 8.39 8.04 -39.93 7.99 0.94 0.196.15 51.67 52.35 7.12 6.79 -39.93 7.99 0.94 0.199.00 -59.81 75.17 2.99 2.92 -39.93 7.99 0.94 0.279.45 -59.75 72.54 2.73 2.70 -39.93 7.99 0.94 0.269.60 -60.96 72.89 2.89 2.88 -39.93 7.99 0.94 0.279.75 -61.72 72.79 3.11 3.11 -39.93 7.99 0.94 0.27

12.00 0.00 0.00 7.17 6.96 -39.93 7.99 0.94 0.00

SigmaX

-50.00-37.50-25.00-12.500.0012.5025.0037.5050.00

-61.72 MN/m²

54.55 MN/m²

-61.72 MN/m²

2.2

5

6.0

0

9.7

5

SigmaX(delta)

0.0010.0020.0030.0040.0050.0060.0070.00

75.17 MN/m²

50.99 MN/m²

75.17 MN/m²

3.0

0

6.0

0

9.0

0


CS-KRAN/S2 2013.06 16.04.13 08:35:19


TauXZ 0.001.002.003.004.005.006.007.008.00

7.17 MN/m²

2.89 MN/m²

8.39 MN/m²

2.89 MN/m²

7.17 MN/m²

0.0

0

2.4

02

.40

6.0

0

9.6

09

.60

12.

00

TauXZ(delta)

0.001.002.003.004.005.006.007.008.00

6.96 MN/m²

2.92 MN/m²

8.04 MN/m²8.04 MN/m²

2.88 MN/m²

6.96 MN/m²

0.0

0

2.4

02

.40

5.8

55

.85

6.0

0

9.4

59

.45

12.

00

SigmaZ(Rad)

-35.00-30.00-25.00-20.00-15.00-10.00-5.000.00

-39.93 MN/m²-39.93 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.001.002.003.004.005.006.007.00 7.99 MN/m²7.99 MN/m²

0.0

0

12.

00

Schweißnaht Ausnutzung

0.000.130.250.380.500.630.750.88

0.94 0.94

0.0

0

12.

00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Ausnutzung 0.000.030.060.090.130.160.190.220.25

0.27

0.19

0.27 3.

00

6.0

0

9.0

0

Schienenanschluss links

Bei x= x dx xz dxz z rad xz rad Ausn.SN Ausn.[m] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [-] [-]

0.00 0.00 0.00 7.17 6.96 -39.93 7.99 0.94 0.002.25 -61.72 72.79 2.90 2.90 -39.93 7.99 0.94 0.272.40 -61.34 73.27 2.71 2.70 -39.93 7.99 0.94 0.272.55 -60.95 73.74 2.95 2.92 -39.93 7.99 0.94 0.273.00 -59.81 75.17 3.62 3.55 -39.93 7.99 0.94 0.275.85 51.25 51.93 8.38 8.04 -39.93 7.99 0.94 0.196.00 54.55 50.99 8.39 8.04 -39.93 7.99 0.94 0.196.15 51.67 52.35 7.12 6.79 -39.93 7.99 0.94 0.199.00 -59.81 75.17 2.99 2.92 -39.93 7.99 0.94 0.279.45 -59.75 72.54 2.73 2.70 -39.93 7.99 0.94 0.269.60 -60.96 72.89 2.89 2.88 -39.93 7.99 0.94 0.279.75 -61.72 72.79 3.11 3.11 -39.93 7.99 0.94 0.27

12.00 0.00 0.00 7.17 6.96 -39.93 7.99 0.94 0.00

SigmaX

-50.00-37.50-25.00-12.500.0012.5025.0037.5050.00

-61.72 MN/m²

54.55 MN/m²

-61.72 MN/m²

2.2

5

6.0

0

9.7

5

SigmaX(delta)

0.0010.0020.0030.0040.0050.0060.0070.00

75.17 MN/m²

50.99 MN/m²

75.17 MN/m²

3.0

0

6.0

0

9.0

0


CS-KRAN/S2 2013.06 16.04.13 08:35:19


TauXZ 0.001.002.003.004.005.006.007.008.00

7.17 MN/m²

2.89 MN/m²

8.39 MN/m²

2.89 MN/m²

7.17 MN/m²

0.0

0

2.4

02

.40

6.0

0

9.6

09

.60

12.

00

TauXZ(delta)

0.001.002.003.004.005.006.007.008.00

6.96 MN/m²

2.92 MN/m²

8.04 MN/m²8.04 MN/m²

2.88 MN/m²

6.96 MN/m²

0.0

0

2.4

02

.40

5.8

55

.85

6.0

0

9.4

59

.45

12.

00

SigmaZ(Rad)

-35.00-30.00-25.00-20.00-15.00-10.00-5.000.00

-39.93 MN/m²-39.93 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.001.002.003.004.005.006.007.00 7.99 MN/m²7.99 MN/m²

0.0

0

12.

00

Schweißnaht Ausnutzung

0.000.130.250.380.500.630.750.88

0.94 0.94

0.0

0

12.

00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


Ausnutzung 0.000.030.060.090.130.160.190.220.25

0.27

0.19

0.27 3.

00

6.0

0

9.0

0

Stegansatz (Tau)

Bei x= x dx xz dxz z rad xz rad Ausn.[m] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [MN/m²] [-]

0.00 0.00 0.00 32.46 31.52 -39.93 7.99 0.362.25 -42.79 50.47 13.13 13.13 -39.93 7.99 0.242.40 -42.53 50.80 12.28 12.22 -39.93 7.99 0.233.00 -41.47 52.12 16.38 16.07 -39.93 7.99 0.265.85 35.54 36.01 37.93 36.42 -39.93 7.99 0.396.00 37.82 35.36 37.99 36.42 -39.93 7.99 0.396.15 35.82 36.30 32.25 30.74 -39.93 7.99 0.359.00 -41.47 52.12 13.55 13.23 -39.93 7.99 0.249.45 -41.43 50.29 12.34 12.22 -39.93 7.99 0.239.60 -42.26 50.54 13.09 13.03 -39.93 7.99 0.249.75 -42.79 50.47 14.07 14.07 -39.93 7.99 0.24

12.00 0.00 0.00 32.46 31.52 -39.93 7.99 0.36

SigmaX

-40.00-30.00-20.00-10.000.0010.0020.0030.00

-42.79 MN/m²

37.82 MN/m²

-42.79 MN/m²

2.2

5

6.00

9.75

SigmaX(delta)

0.00

10.00

20.00

30.00

40.00

50.0052.12 MN/m²

35.36 MN/m²

52.12 MN/m²

3.0

0

6.0

0

9.0

0


CS-KRAN/S2 2013.06 16.04.13 08:35:19


TauXZ 0.005.0010.0015.0020.0025.0030.0035.00

32.46 MN/m²

13.09 MN/m²

37.99 MN/m²

13.09 MN/m²

32.46 MN/m²

0.0

0

2.4

02

.40

6.0

0

9.6

09

.60

12

.00

TauXZ(delta)

0.005.0010.0015.0020.0025.0030.0035.00

31.52 MN/m²

13.23 MN/m²

36.42 MN/m²36.42 MN/m²

13.03 MN/m²

31.52 MN/m²

0.0

0

2.4

02

.40

5.8

55

.85

6.0

0

9.4

59

.45

12

.00

SigmaZ(Rad)

-35.00-30.00-25.00-20.00-15.00-10.00-5.000.00

-39.93 MN/m²-39.93 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.001.002.003.004.005.006.007.00 7.99 MN/m²7.99 MN/m²

0.0

0

12.

00

Ausnutzung

0.00

0.06

0.130.19

0.250.31

0.38

0.36

0.24

0.39 0.39

0.24

0.36

0.0

0

2.4

02

.40

5.8

55

.85

6.1

56

.15

9.4

59

.45

12.

00

Stegansatz (Sx)


0.00 0.00 0.00 32.46 31.52 -39.93 7.99 0.162.25 -42.79 50.47 13.13 13.13 -39.93 7.99 0.162.40 -42.53 50.80 12.28 12.22 -39.93 7.99 0.16


CS-KRAN/S2 2013.06 16.04.13 08:35:19



3.00 -41.47 52.12 16.38 16.07 -39.93 7.99 0.165.85 35.54 36.01 37.93 36.42 -39.93 7.99 0.166.00 37.82 35.36 37.99 36.42 -39.93 7.99 0.166.15 35.82 36.30 32.25 30.74 -39.93 7.99 0.169.00 -41.47 52.12 13.55 13.23 -39.93 7.99 0.169.45 -41.43 50.29 12.34 12.22 -39.93 7.99 0.169.60 -42.26 50.54 13.09 13.03 -39.93 7.99 0.169.75 -42.79 50.47 14.07 14.07 -39.93 7.99 0.16

12.00 0.00 0.00 32.46 31.52 -39.93 7.99 0.16

SigmaX

-40.00-30.00-20.00-10.000.0010.0020.0030.00

-42.79 MN/m²

37.82 MN/m²

-42.79 MN/m²

2.2

5

6.0

0

9.7

5

SigmaX(delta)

0.00

10.00

20.00

30.00

40.00

50.0052.12 MN/m²

35.36 MN/m²

52.12 MN/m²

3.0

0

6.0

0

9.0

0

TauXZ

0.005.0010.0015.0020.0025.0030.0035.00

32.46 MN/m²

13.09 MN/m²

37.99 MN/m²

13.09 MN/m²

32.46 MN/m²

0.0

0

2.4

02

.40

6.0

0

9.6

09

.60

12

.00

TauXZ(delta)

0.005.0010.0015.0020.0025.0030.0035.00

31.52 MN/m²

13.23 MN/m²

36.42 MN/m²36.42 MN/m²

13.03 MN/m²

31.52 MN/m²

0.0

0

2.4

02

.40

5.8

55

.85

6.0

0

9.4

59

.45

12

.00


CS-KRAN/S2 2013.06 16.04.13 08:35:19


SigmaZ(Rad)

-35.00-30.00-25.00-20.00-15.00-10.00-5.000.00

-39.93 MN/m²-39.93 MN/m²

0.0

0

12

.00

TauXZ(Rad)

0.001.002.003.004.005.006.007.00 7.99 MN/m²7.99 MN/m²

0.0

0

12.

00

Ausnutzung

0.00

0.03

0.06

0.09

0.13

0.160.16 0.16

0.0

0

12.

00

Herbert Keller - GRAITEC GmbH Dietrich-Oppenberg-Platz 1 ... · Herbert Keller - GRAITEC GmbH...

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