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1
Holztürme Brück
Statische Analyse und Berechnungen
am Holzturm III
Niko Retzlaff - Adrian Grabara - Ermin Grbo - Björn Rosin - Renan Gondim
2
Gliederung:
• Analyse und Auswertung der Originalstatik
- Belastungen auf das System
• Vergleichsberechnung mit EDV an 2D und 3D Systemen
- Kräfte und Verformungen der Türme
• Abgleich der Ergebnisse mit Originalstatik
• Bemessung der maßgebenden Bauteile nach heutiger Norm
3
Systemidealisierung Originalberechnung:
Y
Z
X
5.9611.9211.9211.925.96 11.9211.92 11.9211.9211.9211.92
11.9211.9211.9211.92
11.9211.92
5.9611.9211.9211.92
5.96
4
Einwirkungen:
• Eigenlast (Brücke)• Eigenlast (Turmgerüst)• Eigenlast (Treppe)• Eigenlast (Spiegel)• Wind in x• Wind in x (Treppe)• Wind in x (Spiegel)• Wind in y• Wind in y (Treppe)• Wind in y (Spiegel)• Antennenlast (oberer Knoten)• Antennenlast (unterer Knoten)• Verkehrslast (Zwischenpodest)• Schneelast (Brücke Kragarm)• Schneelast (Brücke Feld)• Schneelast (Brücke Zwischenpodest)• Schneelast (Brücke Treppe)
5
Einwirkungen:
• Eigenlast (Brücke)• Eigenlast (Turmgerüst)• Eigenlast (Treppe)• Eigenlast (Spiegel)• Wind in x• Wind in x (Treppe)• Wind in x (Spiegel)• Wind in y• Wind in y (Treppe)• Wind in y (Spiegel)• Antennenlast (oberer Knoten)• Antennenlast (unterer Knoten)• Verkehrslast (Zwischenpodest)• Schneelast (Brücke Kragarm)• Schneelast (Brücke Feld)• Schneelast (Brücke Zwischenpodest)• Schneelast (Brücke Treppe)
Y
Z
X
5.9611.92
11.9211.92
5.9611.9211.92
11.9211.9211.9211.92
11.9211.9211.9211.92
11.9211.92
5.96
11.9211.92
11.92
5.96
Y
Z
X
6.25
10.32
6.25
11.70
10.32
6.25
12.41
11.70
10.32
6.25
12.35
6.25
12.41
10.32
11.70
12.00
10.32
12.35
11.70
6.25
8.36
12.00
10.32
12.41
11.70
12.41
7.30
8.36
11.70
12.35
6.25
12.35
12.41
6.48
7.30
12.41
3.50
12.00
10.32
5.06
2.57
6.48
12.35
7.00
12.00
12.35
4.37
8.36
7.00
5.06
11.70
5.13
12.00
6.25
7.30
4.37
5.13
7.00
8.368.36
12.00
6.48
10.32
12.41
5.13
7.00
7.30
3.50
5.06
4.37
7.30
6.48
2.57
8.36
11.70
3.50
5.13
7.00
12.35
3.50
5.06
4.377.00
2.57
6.48
5.13
7.30
7.00
2.57
12.41
12.00
5.13
7.00
5.06
5.13
7.00
6.48
12.35
5.13
7.004.37
8.36
5.13
7.00
5.06
12.00
3.50
5.13
7.30
4.377.00
3.50
5.13
8.36
6.48
2.575.13
3.507.00
2.57
7.30
5.06
4.37
6.48
5.13
7.00
2.57
5.06
4.37
5.13
7.00 7.00
5.13 5.13
3.50
2.57
6
Einwirkungen:
• Eigenlast (Brücke)• Eigenlast (Turmgerüst)
• Eigenlast (Treppe)• Eigenlast (Spiegel)• Wind in x• Wind in x (Treppe)• Wind in x (Spiegel)• Wind in y• Wind in y (Treppe)• Wind in y (Spiegel)• Antennenlast (oberer Knoten)• Antennenlast (unterer Knoten)• Verkehrslast (Zwischenpodest)• Schneelast (Brücke Kragarm)• Schneelast (Brücke Feld)• Schneelast (Brücke Zwischenpodest)• Schneelast (Brücke Treppe)
Y
Z
X
6.00
18.0039.00
6.006.00
18.0039.00
6.00
18.00 18.0018.00 18.00
7
Einwirkungen:
• Eigenlast (Brücke)• Eigenlast (Turmgerüst)
• Eigenlast (Treppe)• Eigenlast (Spiegel)• Wind in x• Wind in x (Treppe)• Wind in x (Spiegel)• Wind in y• Wind in y (Treppe)• Wind in y (Spiegel)• Antennenlast (oberer Knoten)• Antennenlast (unterer Knoten)• Verkehrslast (Zwischenpodest)• Schneelast (Brücke Kragarm)• Schneelast (Brücke Feld)• Schneelast (Brücke Zwischenpodest)• Schneelast (Brücke Treppe)
8
Einwirkungen:
• Eigenlast (Brücke)• Eigenlast (Turmgerüst)
• Eigenlast (Treppe)• Eigenlast (Spiegel)• Wind in x• Wind in x (Treppe)• Wind in x (Spiegel)• Wind in y• Wind in y (Treppe)• Wind in y (Spiegel)• Antennenlast (oberer Knoten)• Antennenlast (unterer Knoten)• Verkehrslast (Zwischenpodest)• Schneelast (Brücke Kragarm)• Schneelast (Brücke Feld)• Schneelast (Brücke Zwischenpodest)• Schneelast (Brücke Treppe)
Y
Z
X
6.00
18.00
39.00
6.006.00
18.00
39.00
6.00
18.00
18.00
18.00
18.00
9
Einwirkungen:
• Eigenlast (Brücke)• Eigenlast (Turmgerüst)
• Eigenlast (Treppe)• Eigenlast (Spiegel)• Wind in x• Wind in x (Treppe)• Wind in x (Spiegel)• Wind in y• Wind in y (Treppe)• Wind in y (Spiegel)• Antennenlast (oberer Knoten)• Antennenlast (unterer Knoten)• Verkehrslast (Zwischenpodest)• Schneelast (Brücke Kragarm)• Schneelast (Brücke Feld)• Schneelast (Brücke Zwischenpodest)• Schneelast (Brücke Treppe)
Y
Z
X
56.75
56.75
10
Vergleichsberechnungen:
- Brücke:
3D-Modell Brückenträger
11
Statisches System (2D) - Längsträger Brücke:
Idealisierung für Wind - Queranströmung auf Schmalseite:
Träger 1:
Träger 2:
Y
X
Z
Y
X
Z
3.20
2.90
3.20
5.80
3.20
5.80
3.20
2.90
3.20
5.805.80
Y
X
Z
5.80
3.20
5.80
3.20
5.80
3.20
2.902.90 5.80
3.20 3.20
5.80
3.20
12Y
X
Z
-6.10-6.10-6.10-6.10
5.815.81
-18.29-18.29
18.2918.29
-5.81-5.81
6.106.106.106.10
-0.02
-0.02
-4.42
-4.42
4.41
4.41
-3.20-3.20-3.20-3.20 -3.20-3.20
3.03
3.03
-3.03
-3.03
-3.20-3.20-3.20-3.20
3.203.203.203.203.203.20 3.203.203.203.20
0.02
0.02
-4.42
-4.42
4.42
4.42
-4.41
-4.41
4.42
4.42
Max N: 18.29, Min N: -18.29 kN
Y
X
Z
5.805.805.805.80
-11.13-11.13-11.13-11.13
11.1311.13
-1.06-1.06-3.19-3.19
1.061.06
-1.06-1.06-3.19-3.19
-5.80-5.80-5.80-5.80
11.1311.13
-5.80-5.80 3.193.191.061.06
3.193.19-3.68
-3.68
3.68
3.68
-3.69
-3.69
3.68
3.68
-3.68
-3.68
3.69
3.69
-0.01
-0.01
0.01
0.01
Max N: 11.13, Min N: -11.13 kN
Y
X
Z
5.885.88 5.885.88
-0.06
-0.06
-0.06
-0.06
0.06
0.06
0.06
0.06
11.5111.51 11.5111.51
-5.63-5.63 -5.63-5.63
5.635.63 5.635.63
-28.92-28.92 -28.92-28.92-28.92
-17.70-17.70 -17.70-17.70
3.76
3.76
3.76
3.76
-3.78
-3.78
-3.78
-3.78-0.12
-0.12
-0.12
-0.12-3.73
-3.73
-3.73
-3.73
3.78
3.78
3.78
3.78 0.12
0.12
0.12
0.12
-0.11
-0.11
-0.11
-0.11-3.76
-3.76
-3.76
-3.76
3.73
3.73
3.73
3.73
17.7017.70 17.7017.70
-3.78-3.78-3.78 -3.78-3.78-6.88-6.88 -6.88-6.88
1.531.53 1.531.53
-1.53-1.53 -1.53-1.53-6.31-6.31 -6.31-6.31
2.66
2.66
2.662.66
2.66
-2.66-2.66
-2.66
-2.66
-2.66-3.28-3.28 -3.28-3.28-3.20-3.20-3.20-3.20
-5.88-5.88 -5.88-5.88-5.80-5.80-5.80-5.80
28.9228.9228.92 28.9228.92
-11.51-11.51 -11.51-11.51
3.203.203.203.206.886.88 6.886.883.783.78 3.783.783.78 3.283.28 3.283.286.316.31 6.316.31
-4.32
-4.32
-4.32
-4.32
4.32
4.32
4.32
4.32
-4.36
-4.36
-4.36
-4.36
4.34
4.34
4.34
4.34
-4.34
-4.34
-4.34
-4.34
0.10
0.10
0.10
0.10
0.11
0.11
0.11
0.11
4.36
4.36
4.36
4.36
-0.13
-0.13
-0.13
-0.13
-0.10
-0.10
-0.10
-0.10
0.13
0.13
0.13
0.13
Max N: 28.92, Min N: -28.92 kN
+
Superposition Teilsysteme Gesamtsystem:
13
Originalberechnung:Originalberechnung:
14
„Denkmalschutz“
15
3D Modell - Türme
Schnittgrößenermittlung:
- Türme:
16
Originalberechnung:Originalberechnung:
17
Statisches System (2D) Turm – Träger I und III :
Idealisierung für Wind – QA auf Schmalseite:Träger I1 und III1 Träger I2 und III2
YX
Z
YX
Z
6.40
11.10
11.10
7.00
12.50
8.80
7.90
8.00
12.68
5.48
YX
Z
6.40
11.10
12.50
11.10
8.00
12.68
5.48
8.80
7.90
7.00
18
Träger I1 und III1 - Schnittgrößen N [KN]:
Träger I2 und III2 - Schnittgrößen N [KN]:
188.62188.62
-148.79
-148.79
113.84
113.84
189.95
189.95
-195.98-195.98
-19.12
-19.12
27.05
27.05
-6.66
-6.66
13.15
13.15
-83.48
-83.48
0.03
0.03
-10.87
-10.87
-16.48 -16.48
0.320.32
-36.91
-36.91
21.49
21.49
59.56
59.56
0.030.03
3.32
3.32
-36.13
-36.13
64.70
64.70
-72.43
-72.43
42.30
42.30
-51.16
-51.16
Max N: 189.95, Min N: -195.98 kN
-113.84
-113.84
-189.95
-189.95
148.79
148.79
195.98195.98 -188.62
-188.62
19.12
19.12
-27.05
-27.05
6.66
6.66-13.15
-13.15
-59.56
-59.56
-0.03-0.03
-3.32
-3.32
16.48 16.48
-0.32-0.32
-21.49
-21.49
36.91
36.91
83.48
83.48
-0.03
-0.03
10.87
10.87
36.13
36.13
-64.70
-64.70
72.43
72.43
-42.30
-42.30
51.16
51.16
Max N: 195.98, Min N: -189.95 kN
19
Originalberechnung:Originalberechnung:
20
Originalberechnung:Originalberechnung:
21
+
Superposition Teilsysteme Gesamtsystem:
188.62188.62
-148.79
-148.79
113.84
113.84
189.95
189.95
-195.98-195.98
-19.12
-19.12
27.05
27.05
-6.66
-6.66
13.15
13.15
-83.48
-83.48
0.03
0.03
-10.87
-10.87
-16.48 -16.48
0.320.32
-36.91
-36.91
21.49
21.49
59.56
59.56
0.030.03
3.32
3.32
-36.13
-36.13
64.70
64.70
-72.43
-72.43
42.30
42.30
-51.16
-51.16
Max N: 189.95, Min N: -195.98 kN
-113.84
-113.84
-189.95
-189.95
148.79
148.79
195.98195.98 -188.62
-188.62
19.12
19.12
-27.05
-27.05
6.66
6.66-13.15
-13.15
-59.56
-59.56
-0.03-0.03
-3.32
-3.32
16.48 16.48
-0.32-0.32
-21.49
-21.49
36.91
36.91
83.48
83.48
-0.03
-0.03
10.87
10.87
36.13
36.13
-64.70
-64.70
72.43
72.43
-42.30
-42.30
51.16
51.16
Max N: 195.98, Min N: -189.95 kN
-327.66
-327.66
-327.66
-327.66-272.46-272.46
-272.46
-272.46
-272.46
6.51
6.51
6.51
6.51
-391.96-391.96-391.96-391.96
377.24377.24377.24377.24377.24342.69
342.69
342.69
342.69
-192.21
-192.21
-192.21
-192.21-145.49
-145.49
-145.49
-145.49
-38.51
-38.51
-38.51
-38.51
33.68
33.68
33.68
33.68
12.87
12.87
12.87
12.87
41.30
41.30
41.30
41.30
-12.87
-12.87
-12.87
-12.87
-6.51
-6.51
-6.51
-6.51
-25.99
-25.99
-25.99
-25.99
19.50
19.50
19.50
19.50
251.46
251.46
251.46
251.46
-32.07
-32.07
-32.07
-32.07-13.89
-13.89
-13.89-13.89
-13.893.22
3.22
3.22
3.22
-90.49 -90.49-90.49 -90.49
-3.23
-3.23
-3.23
-3.23
-58.49
-58.49
-58.49
-58.49-94.52
-94.52
-94.52
-94.52
206.47
206.47
206.47
206.47139.82
139.82
139.82
139.82
32.16
32.16
32.16
32.1613.89
13.89
13.89
13.89
57.91
57.91
57.91
57.9196.8096.80
96.80
96.80
96.80
75.12
75.12
75.12
75.12
-66.34
-66.34
-66.34
-66.34
-90.25
-90.25
-90.25
-90.25
-35.64
-35.64
-35.64
-35.64
27.10
27.10
27.10
27.10
-19.69
-19.69
-19.69
-19.69
49.29
49.29
49.29
49.29
-37.54
-37.54
-37.54
-37.54
66.05
66.05
66.05
66.05
Max N: 377.24, Min N: -391.96 kN
22
Lastfallkombination am Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und Schräganströmung
Y
Z
X
Max N: 26.67, Min N: -166.27 kN
Verlauf der Normalkräfte
23
Lastfallkombination am Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und SchräganströmungY
Z
X
-158.29
-158.29
-158.29
-158.29
-154.05
-154.05
-154.05
-154.05
-0.13
-0.13
-0.13
-0.13
-154.22
-154.22
-154.22
-154.22
-137.22
-137.22
-137.22
-137.22
-1.95
-1.95
-1.95
-1.95
-125.72
-125.72
-125.72
-125.72
-6.78
-6.78
-6.78
-6.78
2.14
2.14
2.14
2.14
-5.22
-5.22
-5.22
-5.22
-125.87
-125.87
-125.87
-125.87
-126.07-126.07-126.07-126.07-126.07
-166.27-166.27
-166.27
-166.27
-166.27
-117.19
-117.19
-117.19
-117.19
-163.00
-163.00
-163.00
-163.00
0.13
0.13
0.13
0.13
-107.27-107.27
-107.27
-107.27
-107.27
-163.18
-163.18
-163.18
-163.18
-0.79
-0.79
-0.79
-0.79
-2.32
-2.32
-2.32
-2.32
0.100.10
0.10
0.10
0.10
2.43
2.43
2.43
2.43
-0.09
-0.09
-0.09
-0.09
-2.46
-2.46
-2.46
-2.46
-107.43-107.43
-107.43
-107.43
-107.43
-146.32
-146.32
-146.32
-146.32
1.85
1.85
1.85
1.85
-2.10
-2.10
-2.10
-2.10
-107.56
-107.56
-107.56
-107.56
-2.35
-2.35
-2.35
-2.35
-127.68
-127.68
-127.68
-127.68
-161.14
-161.14
-161.14
-161.14
-101.37
-101.37
-101.37
-101.37
-127.81
-127.81
-127.81
-127.81
-157.23-157.23
-157.23
-157.23
-157.23
-95.45
-95.45
-95.45
-95.45
-128.01
-128.01
-128.01
-128.01
-3.15
-3.15
-3.15
-3.15
1.64
1.64
1.64
1.64
-2.31
-2.31
-2.31
-2.31
-155.95
-155.95
-155.95
-155.95
-2.45
-2.45
-2.45
-2.45
-157.41
-157.41
-157.41
-157.41
-119.21
-119.21
-119.21
-119.21
-95.59
-95.59
-95.59
-95.59
2.01
2.01
2.01
2.01
-2.00
-2.00
-2.00
-2.00
-95.73-95.73-95.73-95.73
-140.87
-140.87
-140.87
-140.87
-95.73-95.73-95.73-95.73
-110.17
-110.17
-110.17
-110.17
-152.27
-152.27
-152.27
-152.27-129.24
-129.24
-129.24
-129.24
-89.66
-89.66
-89.66
-89.66
-110.32
-110.32
-110.32-110.32
-110.32
-0.10
-0.10
-0.10-0.10
-0.10
-129.38
-129.38
-129.38
-129.38
-68.44
-68.44
-68.44
-68.44
-2.65
-2.65
-2.65
-2.65
-0.13
-0.13
-0.13
-0.13
-110.45
-110.45
-110.45
-110.45
-152.44
-152.44
-152.44
-152.44
-1.83
-1.83
-1.83
-1.83
-2.07
-2.07
-2.07
-2.07
-6.26
-6.26
-6.26
-6.26
1.68
1.68
1.68
1.68
1.77
1.77
1.77
1.77
-129.59
-129.59
-129.59
-129.59
-0.92
-0.92
-0.92
-0.92
-2.23
-2.23
-2.23
-2.23
2.21
2.21
2.21
2.21
-1.51
-1.51
-1.51
-1.51
-5.19
-5.19
-5.19
-5.19
-68.50-68.50
-68.50
-68.50
-68.50
-104.31
-104.31
-104.31
-104.31
1.65
1.65
1.65
1.65
-1.47
-1.47
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-12.94
-12.94
-12.94
-94.71
-94.71
-94.71
-94.71
-41.08
-41.08
-41.08
-41.08
-13.37-13.37
-13.37-13.37-13.37
-64.21
-64.21
-64.21
-64.21
-24.20-24.20-24.20-24.20-24.20
-1.29
-1.29
-1.29
-1.29
-1.25
-1.25
-1.25
-1.25
-0.19-0.19-0.19-0.19
-64.70
-64.70
-64.70
-64.70
-58.51-58.51
-58.51
-58.51
-58.51
-1.96
-1.96
-1.96
-1.96
-128.28
-128.28
-128.28
-128.28
19.5519.55
19.5519.55
-94.84
-94.84
-94.84
-94.84
-0.64
-0.64
-0.64
-0.64
-0.69
-0.69
-0.69
-0.69
-1.41
-1.41
-1.41
-1.41
18.4518.45
18.4518.45
-2.30
-2.30
-2.30
-2.30
1.681.68
1.681.68
-64.78
-64.78
-64.78
-64.78
-54.92
-54.92
-54.92
-54.92
-128.40
-128.40
-128.40-128.40
-128.40
-30.16
-30.16
-30.16
-30.16
-94.98-94.98-94.98-94.981.75
1.75
1.75
1.75
1.51
1.51
1.51
1.51
-12.26-12.26-12.26-12.26-12.26
-3.57
-3.57
-3.57
-3.57
-20.45-20.45
-20.45-20.45
-94.98-94.98-94.98-94.98
-1.39
-1.39
-1.39
-1.39
1.11
1.11
1.11
1.11
-1.22
-1.22
-1.22
-1.22
-0.94
-0.94
-0.94
-0.94
-0.34
-0.34
-0.34
-0.34
10.00
10.00
10.00
10.00
-128.60
-128.60
-128.60
-128.60
19.7119.7119.7119.7119.71
-60.20
-60.20
-60.20
-60.20
1.681.681.681.68
1.34
1.34
1.34
1.34
19.0819.0819.0819.0819.08
-88.87
-88.87
-88.87
-88.87
-54.98
-54.98
-54.98
-54.98
-0.84
-0.84
-0.84
-0.84
21.8321.8321.8321.83
-120.31-120.31
-120.31
-120.31
-120.31
-18.64
-18.64
-18.64
-18.64
26.24
26.24
26.24
26.24
-26.60-26.60
-26.60-26.60
-19.23-19.23-19.23-19.23
-55.48
-55.48
-55.48-55.48
-55.48
1.10
1.10
1.10
1.10
1.05
1.05
1.05
1.05
-71.28
-71.28
-71.28
-71.28
-55.57
-55.57
-55.57
-55.57
-51.64
-51.64
-51.64
-51.64
-103.56
-103.56
-103.56
-103.56
14.4214.42
14.4214.42
0.21
0.21
0.21
0.21
0.27
0.27
0.27
0.27
-55.57-55.57
-55.57
-55.57
-55.57
-71.34
-71.34
-71.34
-71.34
21.8321.83
21.8321.83
-2.08
-2.08
-2.08
-2.08
-0.85
-0.85
-0.85
-0.85
-45.05
-45.05
-45.05
-45.05
-27.12-27.12-27.12-27.12
6.536.53
6.536.53
-103.70
-103.70
-103.70
-103.70
1.70
1.70
1.70
1.70
0.65
0.65
0.65
0.65
-55.66
-55.66
-55.66
-55.66
-1.67
-1.67
-1.67
-1.67
0.14
0.14
0.14
0.14
-1.83
-1.83
-1.83
-1.83
-27.28-27.28-27.28-27.28
-71.42
-71.42
-71.42
-71.42
-1.20
-1.20
-1.20
-1.20
0.17
0.17
0.17
0.17
7.06
7.06
7.06
7.06
-1.28
-1.28
-1.28
-1.28
13.0813.0813.0813.0813.08
-103.82-103.82
-103.82
-103.82
-103.82
-50.98-50.98
-50.98
-50.98
-50.98
-45.14
-45.14
-45.14-45.14
-45.14
0.69
0.69
0.69
0.69
9.419.419.419.41
-1.45
-1.45
-1.45
-1.45
-27.06-27.06 -27.06-27.06
-66.93
-66.93
-66.93
-66.93
-9.35
-9.35
-9.35
-9.35
18.40
18.40
18.40
18.40
5.975.975.975.97
-97.86
-97.86
-97.86
-97.86
-45.94-45.94
-45.94
-45.94
-45.94
-0.87
-0.87
-0.87
-0.87
-0.92
-0.92
-0.92
-0.92
-63.55
-63.55
-63.55-63.55
-63.55
-40.11-40.11
-40.11
-40.11
-40.11
0.930.93
0.930.93
-92.03
-92.03
-92.03
-92.03
-13.73-13.73
-13.73-13.73
-63.66-63.66
-63.66
-63.66
-63.66
-27.27-27.27 -27.27-27.27
-45.99
-45.99
-45.99
-45.99
9.659.65
9.659.65
-39.82
-39.82
-39.82
-39.82
-0.85
-0.85
-0.85
-0.85
-1.72
-1.72
-1.72
-1.72
-0.34-0.34
-0.34-0.34
-92.17-92.17
-92.17
-92.17
-92.17
-63.66
-63.66
-63.66
-63.66
19.9919.9919.99
19.9919.99
0.01
0.01
0.01
0.01
1.00
1.00
1.00
1.00
1.04
1.04
1.04
1.04
-1.31
-1.31
-1.31
-1.31
-2.67
-2.67
-2.67
-2.67
0.06
0.06
0.06
0.06
-0.78
-0.78
-0.78
-0.78
-17.25-17.25-17.25-17.25-17.25
-63.74
-63.74
-63.74
-63.74
-0.18
-0.18
-0.18
-0.18
-92.31-92.31-92.31-92.31
17.34
17.34
17.34
17.34
-6.79
-6.79
-6.79
-6.79
-42.51
-42.51
-42.51
-42.51
-92.31
-92.31
-92.31
-92.31
-39.76
-39.76
-39.76
-39.76
1.08
1.08
1.08
1.08
-12.57-12.57-12.57-12.57-12.57
-0.30
-0.30
-0.30
-0.30
-58.91
-58.91
-58.91
-58.91
-12.39-12.39-12.39-12.39
-86.29
-86.29
-86.29-86.29
-86.29
-37.79
-37.79
-37.79
-37.79
9.48
9.48
9.48
9.48
-0.98
-0.98
-0.98
-0.98
1.87
1.87
1.87
1.87
-38.12-38.12-38.12-38.12
20.1120.1120.1120.11
-51.68
-51.68
-51.68
-51.68
-17.76-17.76
-17.76-17.76
-67.64
-67.64
-67.64
-67.64
21.4221.4221.4221.42-36.48
-36.48
-36.48
-36.48
-37.87
-37.87
-37.87
-37.87
-26.19-26.19
-26.19-26.19-26.19
4.10
4.10
4.10
4.10
0.35
0.35
0.35
0.35
-1.08
-1.08
-1.08
-1.08
-51.74
-51.74
-51.74
-51.74
1.54
1.54
1.54
1.54
0.950.95
0.950.95
-0.44
-0.44
-0.44
-0.44
-0.38
-0.38
-0.38
-0.38
-0.15-0.15-0.15-0.15
-67.69
-67.69
-67.69
-67.69
-13.08-13.08
-13.08-13.08
-0.06
-0.06
-0.06
-0.06
0.65
0.65
0.65
0.65
1.03
1.03
1.03
1.03
-2.64
-2.64
-2.64
-2.64
-1.45
-1.45
-1.45
-1.45
-1.21
-1.21
-1.21
-1.21
-33.14-33.14
-33.14
-33.14
-33.14
-9.13 -9.13-9.13 -9.13
-0.75
-0.75
-0.75
-0.75
-67.77
-67.77
-67.77
-67.77
-0.30
-0.30
-0.30
-0.30
-0.35
-0.35
-0.35
-0.35
-2.63
-2.63
-2.63
-2.63
-0.36
-0.36
-0.36
-0.36
7.587.587.587.587.58
0.09
0.09
0.09
0.09
-48.23
-48.23
-48.23-48.23
-48.23
0.640.64
0.640.6421.38
21.3821.38
21.38
23.66
23.66
23.66
23.66
-17.67
-17.67
-17.67
-17.67
-27.78
-27.78
-27.78
-27.78
-57.34
-57.34
-57.34
-57.34
-26.69-26.69-26.69-26.69
-2.03-2.03-2.03-2.03-2.03
-63.38
-63.38
-63.38
-63.38
-57.34
-57.34
-57.34-57.34
-57.34
-9.53-9.53-9.53-9.53
-45.05
-45.05
-45.05
-45.05
-18.35-18.35-18.35-18.35
-1.14-1.14
-1.14-1.14-1.14
-27.83-27.83-27.83-27.83
-1.09-1.09
-1.09
-1.09
-1.09
-27.70
-27.70
-27.70
-27.70
0.92
0.92
0.92
0.92
7.67
7.67
7.67
7.67
-54.49
-54.49
-54.49
-54.49
-0.21
-0.21
-0.21
-0.21
-45.14
-45.14
-45.14
-45.14
-54.58
-54.58
-54.58
-54.58
0.14
0.14
0.14
0.14
8.108.10
8.108.10
10.1010.1010.1010.10 -9.53-9.53
-9.53-9.53
0.89
0.89
0.89
0.89
-26.12
-26.12
-26.12
-26.12
-25.84-25.84-25.84-25.84
-1.09
-1.09
-1.09
-1.09
-27.58-27.58-27.58 -27.58-27.58
-0.35
-0.35
-0.35
-0.35
-54.58
-54.58
-54.58
-54.58
-18.23-18.23
-18.23-18.23
0.41
0.41
0.41
0.41
0.46
0.46
0.46
0.46
-23.11
-23.11
-23.11-23.11
-23.11
-54.66
-54.66
-54.66
-54.66
-40.05
-40.05
-40.05
-40.05
-1.26
-1.26
-1.26
-1.26
-0.01-0.01-0.01-0.01
-49.93
-49.93
-49.93
-49.93
-39.72
-39.72
-39.72
-39.72
0.88
0.88
0.88
0.88
0.93
0.93
0.93
0.93
-27.80-27.80 -27.80-27.80
0.10
0.10
0.10
0.10
13.7413.7413.7413.74
10.2810.28
10.2810.28
-44.99
-44.99
-44.99
-44.99
-9.83
-9.83
-9.83
-9.83
15.87
15.87
15.87
15.87
1.071.071.071.071.07
-17.36-17.36-17.36-17.36-17.36
-2.20
-2.20
-2.20
-2.20
-39.65
-39.65
-39.65
-39.65
0.16
0.16
0.16
0.16
0.12
0.12
0.12
0.12
-1.15-1.15-1.15
-1.15-1.15
5.30
5.30
5.30
5.30
-0.94
-0.94
-0.94
-0.94
-1.30
-1.30
-1.30
-1.30
13.8113.81 13.8113.81
-2.15
-2.15
-2.15
-2.15
-45.04
-45.04
-45.04-45.04
-45.04
-16.79-16.79-16.79-16.79
-5.08
-5.08
-5.08
-5.08
-38.03-38.03-38.03-38.03
16.50
16.50
16.50
16.50
-7.55
-7.55
-7.55
-7.55
1.071.07
1.071.07
-0.01-0.01-0.01-0.01-0.01
-36.40
-36.40
-36.40
-36.40
1.95
1.95
1.95
1.95
-41.41
-41.41
-41.41
-41.41
-12.90-12.90-12.90-12.90
1.401.40
1.401.40
-0.15-0.15-0.15-0.15
13.6013.60 13.6013.60
-6.62-6.62
-6.62-6.62
-36.70
-36.70
-36.70
-36.70
4.01
4.01
4.01
4.01
-0.52
-0.52
-0.52
-0.52
-0.48
-0.48
-0.48
-0.48
1.52
1.52
1.52
1.52
-9.12 -9.12-9.12 -9.12
-17.24-17.24-17.24
-17.24-17.24
0.91
0.91
0.91
0.91
0.93
0.93
0.93
0.93
-36.77
-36.77
-36.77
-36.77
13.2213.2213.2213.22
0.010.010.010.01
-13.65-13.65
-13.65-13.65
-57.25
-57.25
-57.25
-57.25
9.73
9.73
9.73
9.73
1.03
1.03
1.03
1.03
-9.55-9.55-9.55-9.55
-32.01
-32.01
-32.01
-32.01
-7.04-7.04-7.04-7.04
0.19
0.19
0.19
0.19
-1.05
-1.05
-1.05
-1.05
-29.53
-29.53
-29.53
-29.53
-2.01-2.01-2.01-2.01
6.776.776.776.77
0.750.75
0.750.75
1.011.01
1.011.01
0.30
0.30
0.300.30
0.30
24.48
24.48
24.48
24.48
-16.69
-16.69
-16.69
-16.69
-29.45-29.45
-29.45
-29.45
-29.45
-57.25
-57.25
-57.25
-57.25
-9.55-9.55
-9.55-9.55
-0.74-0.74
-0.74-0.74-0.74
-27.67
-27.67
-27.67
-27.67
-18.20-18.20-18.20-18.20
0.630.63
0.630.63
-0.80
-0.80
-0.80
-0.80
-0.82
-0.82
-0.82
-0.820.63
0.630.63
0.63-0.28
-0.28
-0.28
-0.28
-23.06-23.06
-23.06
-23.06
-23.06
-0.61
-0.61
-0.61
-0.61
-0.72
-0.72
-0.72
-0.72
-0.75
-0.75
-0.75
-0.75
-0.02-0.02-0.02-0.02
7.357.35
7.357.35
-1.23
-1.23
-1.23
-1.23
-26.73
-26.73
-26.73-26.73
-26.73
-18.12-18.12-18.12
-18.12-18.12
0.010.010.010.011.38
1.381.38
1.38
-0.02
-0.02
-0.02
-0.0213.6213.6213.6213.62
-9.81
-9.81
-9.81
-9.81
15.82
15.82
15.82
15.82
1.061.061.061.06
-17.27-17.27-17.27-17.27
0.43
0.43
0.43
0.43
0.280.28
0.280.280.28
13.7213.72 13.7213.720.01
0.010.01
0.01-0.01-0.01-0.01-0.01 0.65
0.65
0.650.65
0.65
13.5313.53 13.5313.53
-6.61-6.61
-6.61-6.61
13.1613.1613.1613.160.010.010.010.010.01
1.09
1.09
1.09
1.09
9.74
9.74
9.74
9.740.01
0.01
0.01
0.01
-7.05-7.05-7.05-7.05-7.05
-0.79-0.79
-0.79-0.79
-0.65
-0.65
-0.65
-0.65
-0.01
-0.01
-0.01
-0.01
Max N: 26.67, Min N: -166.27 kN
Verlauf der Normalkräfte
24
Stabkrafttabelle – Liste Nr. 6
25
26
Lastfallkombination am Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und Schräganströmung
Y
Z
X
Max N: 677.24, Min N: -678.33 kN
Verlauf der Normalkräfte
Y
Z
X
Max N: 815.78, Min N: -816.31 kN
27
Lastfallkombination am Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und Schräganströmung
Verlauf der Normalkräfte
Y
Z
X
Max N: 1214.68, Min N: -1239.04 kN
28
Lastfallkombination am Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und Schräganströmung
Verlauf der Normalkräfte
Y
Z
X
Max N: 28.60, Min N: -37.08 kN
29
Lastfallkombination am Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und Schräganströmung
Verlauf der Normalkräfte
Y
Z
X
Max N: 1214.68, Min N: -1405.31 kN
30
Lastfallkombination am Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und Schräganströmung
Verlauf der Normalkräfte
Y
Z
X
Max N: 1214.68, Min N: -1442.39 kN
31
Lastfallkombination am Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und Schräganströmung
Verlauf der Normalkräfte
32
Lastfallkombination am Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und Schräganströmung
Y
Z
X
581.42
581.42
-820.93
-820.93522.97
522.97
-803.00
-803.00
0.16
0.16
-56.85
-56.85
522.95
522.95
-804.21
-804.21524.26
524.26
-688.25
-688.25
87.16
87.16
-2.49
-2.49
440.07
440.07
-687.19
-687.19
92.59
92.59
-28.68
-28.68
15.28
15.28
-0.11
-0.11
-113.88
-113.88
440.93
440.93
-687.40
-687.40 440.92440.92
-688.74-688.74
-1442.39
-1442.39
437.92
437.92
-596.71
-596.71
-1370.63
-1370.63
56.85
56.85
-0.16
-0.16
362.37
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-719.41
-719.41
165.00
165.00
-289.68
-289.68
1.601.60
0.060.06
-36.56-36.56
685.12
685.12
-147.29
-147.29
27.21
27.21-103.50
-103.50
29.47
29.47
-7.31
-7.31
8.27
8.27
-16.20
-16.20
90.72
90.72
-93.14
-93.14
53.1553.15
-39.61-39.61
3.57
3.57-559.38
-559.38
11.5511.55
-38.03-38.030.430.43
-46.78-46.78
164.99
164.99
-290.16-290.16
36.3236.32
-92.80-92.80
466.48
466.48
-702.86
-702.86
26.0526.05
-34.54-34.54
2.032.03
-21.68-21.68
36.94
36.94
-20.38
-20.38
16.50
16.50
-20.63
-20.63
617.34
617.34
-133.47
-133.47
35.41
35.41
-73.42
-73.42
46.0146.01
-56.39-56.39
24.24
24.24-108.54
-108.54
51.3951.39
-48.15-48.15
13.35
13.35
-2.97
-2.97
-16.20
-16.20
0.030.03-1.81
-1.81
3.60
3.60
-559.93
-559.93
164.34
164.34
-230.47
-230.47
42.35
42.35
-3.97
-3.97
475.28
475.28
-606.02
-606.02
58.6958.69
-36.78-36.78
618.01
618.01
-133.65
-133.65
14.24
14.24-0.99
-0.99
0.05
0.05
-15.24
-15.24
1.00
1.00
-61.39
-61.39
26.2526.25
-31.13-31.13
77.66
77.66
-3.39
-3.39
3.633.63
-21.68-21.68
3.62
3.62 -560.46
-560.46
114.22
114.22
-229.26
-229.26
475.26
475.26
-607.05
-607.05
11.54
11.54
-61.16
-61.16
618.72618.72-133.84-133.84
10.35
10.35
-0.05
-0.05
2.31
2.31
-6.88
-6.88
52.2152.21
-53.98-53.98
10.96
10.96
-73.91
-73.91
91.6691.66
-34.73-34.73
618.72618.72
-133.84-133.84
56.92
56.92
-5.51
-5.51
47.46
47.46
-0.24
-0.24
6.35
6.35-0.13
-0.13
0.13
0.13
-50.52
-50.52
2.52
2.52
-50.42
-50.42
5.97
5.97
-2.33
-2.33
16.75
16.75
-8.18
-8.18
476.21
476.21
-607.40
-607.40
60.6860.68
-35.12-35.12
2.39
2.39
-499.06
-499.06
3.383.38
-15.27-15.27
1.92
1.92
-4.59
-4.59
27.2427.24
-35.10-35.10
547.19
547.19
-126.89
-126.89
114.45
114.45
-229.32
-229.32
51.17
51.17
-1.44
-1.44
56.0656.06
-42.57-42.57
398.14
398.14
-594.99
-594.99
10.89
10.89
-28.87
-28.87
41.97
41.97
-2.81
-2.81
50.5150.51
-67.01-67.01
74.9974.99
-33.25-33.25
3.40
3.40 -436.85
-436.85
2.52
2.52
-7.80
-7.80
10.20
10.20
475.52
475.52
-101.11
-101.11
3.40
3.40 -437.34
-437.34
114.22
114.22
-179.59
-179.59
390.43
390.43
-494.37
-494.37
29.0429.04
-58.31-58.31
0.33
0.33
-6.06
-6.066.44
6.44
-0.02
-0.02
3.40
3.40
-437.34
-437.34
476.00
476.00
-101.20
-101.20
54.2254.22
-40.91-40.91
0.88
0.88
-60.29
-60.29
56.71
56.71
-2.00
-2.00
67.96
67.96
-173.05
-173.05
51.9951.99
-68.13-68.13
82.8382.83
-14.18-14.18
390.46
390.46
-495.23
-495.23
2.54
2.54
-8.94
-8.94
7.07
7.07
-0.55
-0.55
3.41
3.41
-437.85
-437.85
2.69
2.69
-62.57
-62.57
44.12
44.12
-0.13
-0.13
52.68
52.68
-8.71
-8.71
50.9650.96
-63.89-63.89
476.35
476.35
-101.32
-101.32
0.01
0.01
-47.28
-47.28
2.07
2.07
-6.16
-6.16
19.76
19.76
-1.47
-1.47
2.38
2.38
-46.20
-46.20
27.4927.49
-72.18-72.18
391.01
391.01
-495.41
-495.41
2.20
2.20
-385.20
-385.20
68.10
68.10
-173.21
-173.21
1.06
1.06
-3.09
-3.09
33.8433.84
-52.95-52.95
45.25
45.25
-2.43
-2.43
49.3049.30
-63.49-63.49
414.57
414.57
-96.46
-96.46
9.54
9.54
-14.50
-14.50
28.51
28.51
-8.91
-8.91
73.9573.95
-17.81-17.81
319.27
319.27
-490.78
-490.78
3.30
3.30
-328.37
-328.37
-4.67
-4.672.70
2.70
-2.10
-2.10
359.30
359.30
-92.73
-92.73
67.84
67.84
-122.87
-122.87
1.651.65
322.69
322.69
-410.72
-410.72
14.2314.23
-88.89-88.89
359.67
359.67
-92.88
-92.88
49.4349.43
-63.99-63.99
3.31
3.31
-328.68
-328.68
30.4730.47
-54.74-54.74
27.91
27.91
-127.84
-127.84
1.04
1.04
-47.73
-47.73
61.68
61.68
-3.10
-3.10
0.240.24
-0.85-0.85
322.70
322.70
-411.55
-411.55
359.67
359.67
-92.88
-92.88
78.6378.63
-17.80-17.80
38.92
38.92
-0.12
-0.12
2.61
2.61
-5.33
-5.33
6.28
6.28
-0.31
-0.31
0.06
0.06
-43.15
-43.15
7.81
7.81
-56.61
-56.61
3.29
3.29
-2.97
-2.97
3.09
3.09-3.27
-3.27
43.19
43.19
-4.05
-4.05
53.2453.24
-44.71-44.71
360.03
360.03
-93.01
-93.01
1.58
1.58
-38.66
-38.66
323.34323.34
-411.68-411.68
35.57
35.57
-1.77
-1.77
1.67
1.67
-19.14
-19.14
1.96
1.96
-284.79
-284.79
323.34
323.34
-411.68
-411.68
27.99
27.99
-127.76
-127.76
1.98
1.98
-1.80
-1.80
14.3714.37
-92.48-92.48
40.30
40.30
-0.82
-0.82
305.67
305.67
-87.42
-87.42
7.197.19
-74.76-74.76
259.65
259.65
-402.02
-402.02
3.09
3.09
-232.83
-232.83
14.51
14.51
-9.88
-9.88
7.19
7.19
-1.01
-1.01
8.12
8.12-0.18
-0.18
27.9627.96
-82.27-82.27
77.1477.14
-19.56-19.56
259.70
259.70
-78.08
-78.08
48.0148.01
-45.61-45.61
255.00
255.00 -311.31
-311.31
68.8968.89
-29.20-29.20
13.54
13.54
-80.03
-80.03
3.09
3.09
-233.13
-233.13
14.4314.43
-102.22-102.22
45.00
45.00
-0.03
-0.03
0.83
0.83
-0.23
-0.23
1.09
1.09
-41.77
-41.77
259.95
259.95
-78.16
-78.16
3.02
3.02
-32.82
-32.82
1.661.66
-0.02-0.02 0.62
0.62
-3.34
-3.343.07
3.07
-0.82
-0.82
1.191.19
-0.28-0.28
255.02
255.02
-311.85
-311.85
6.916.91
-87.86-87.86
45.75
45.75
-1.05
-1.05
3.90
3.90
-0.12
-0.12
1.68
1.68
-4.50
-4.50
0.92
0.92
-42.48
-42.48
3.34
3.34
-48.02
-48.02
37.75
37.75
-4.76
-4.76
1.38
1.38
-188.17
-188.17
24.45 24.45
-20.55 -20.55
0.11
0.11-2.07
-2.07
255.46
255.46-312.07
-312.07
2.36
2.36
-12.09
-12.0911.59
11.59
-2.96
-2.96
39.11
39.11
-4.46
-4.46
0.25
0.25
-0.86
-0.86
60.7560.75
-10.47-10.47
0.18
0.18
-35.98
-35.98
212.48
212.48
-74.34
-74.34
20.4820.48
-1.00-1.00
67.1767.17
-27.38-27.38
38.73
38.73
-3.28
-3.28
1.76
1.76
-37.94
-37.94
2.69
2.69
-145.27
-145.27
12.09
12.09
-101.91
-101.91
14.3814.38
-104.82-104.82
30.2030.20
-5.18-5.18
197.97
197.97
-308.18
-308.18
5.84
5.84-101.94
-101.940.010.01
-51.06-51.06
169.91
169.91
-70.35
-70.35
6.086.08
-51.79-51.79
27.7827.78
-1.80-1.80
15.8415.84
-99.73-99.73
1.96
1.96-49.19
-49.19
2.70
2.70
-145.24
-145.24
0.96
0.96
-7.16
-7.16
22.47
22.47
-0.05
-0.05
199.17
199.17-236.39
-236.39
1.30
1.30
-35.40
-35.40
170.03
170.03
-70.50
-70.50
199.19
199.19 -236.91
-236.91
39.47
39.47
-2.43
-2.43
48.6148.61
-10.13-10.13
46.1546.15
-41.49-41.49
0.010.01
-51.06-51.06
3.59
3.59
11.23
11.23
-47.42
-47.42
0.040.04
-102.21-102.21
2.40
2.40
-42.27
-42.27
15.5615.56
-97.92-97.92
34.70
34.70
-2.58
-2.58
199.19
199.19
-236.91
-236.91
6.116.11
-51.34-51.34
0.81
0.81-8.36
-8.36
8.54
8.54
-0.66
-0.66
0.47
0.47
-82.00
-82.00
199.55
199.55
-237.03
-237.03
126.13
126.13
-63.95
-63.95
1.96
1.96
-40.00
-40.00
0.99
0.99-0.11-0.11
151.35
151.35
-230.73
-230.73
91.32
91.32
-64.36
-64.36
15.44
15.44
-2.28
-2.28
3.85
3.85-13.96
-13.96
15.7015.70
-98.42-98.42
36.14
36.14
32.9132.91
-0.25
-0.25
48.2248.22
-37.69-37.69
150.61
150.61
-177.92
-177.92
2.50
2.50
-15.71
-15.71
36.28
36.28
-0.40
-0.40
15.4115.41
-1.28-1.28
6.566.56
-38.82-38.82
1.73
1.73
-38.32
-38.32
91.39
91.39
-64.26
-64.26
37.42
37.42
-1.96
-1.96
2.86
2.86-35.25
-35.25
0.020.02
-29.81-29.81
10.02
10.02
-0.01
-0.01
1.11
1.11
-1.40
-1.40
3.17
3.17
-38.03
-38.03
27.1727.17 -0.28
-0.28
34.91
34.91
-5.93
-5.93
150.63
150.63
-178.23
-178.23
22.0722.07
-75.27-75.27
-10.51
-10.51
47.2047.20
-63.20-63.20
35.44
35.44
-0.01
-0.01
0.11
0.11
-22.30
-22.30
28.7628.76
-2.06-2.06
0.010.01-0.29-0.29
32.94
32.94
-60.58
-60.58
3.73
3.73
-3.50
-3.50
109.02
109.02
-173.89
-173.89
20.8020.80
-61.57-61.57
21.6921.69
-1.87-1.87
0.020.02-1.45
-1.45
27.4227.42
-0.29-0.29
5.965.96
-16.16-16.16
107.15
107.15
-127.56
-127.56
40.97
40.97
-4.65
-4.65
0.77
0.77
-13.69
-13.6913.54
13.54
-0.90
-0.90
3.82
3.82
-32.35
-32.35
28.79 28.79
-16.49 -16.49
22.6922.69
-70.21-70.21
1.62
1.62
-15.24
-15.2416.90
16.90
107.14
107.14
-127.85
-127.85
28.7628.76-0.24
-0.240.290.29
-0.01
-0.01
32.7132.71
-62.54-62.54
0.02
0.02
-107.52
-107.52
17.37
17.37
-1.19
-1.19
1.67
1.67
-3.21
-3.21
9.219.21
-42.15-42.15
67.53
67.53
-120.54
-120.54
5.875.87
-12.57-12.57
35.57
35.57
-2.65
-2.65
48.48
48.48
-2.67
-2.67
67.61
67.61
-82.72
-82.72
1.651.65
-33.69-33.69
35.7535.75
-34.74-34.74 1.201.20
-0.87-0.87
3.723.72
-27.66-27.66
0.78
0.78
-1.29
-1.29
42.43
42.43
-0.68
-0.68
1.01
1.01
-36.48
-36.48
67.59
67.59
-82.67
-82.67
-113.78
-113.78
9.219.21
-42.15-42.15
5.485.48
-1.20-1.20
25.82
25.82
-79.32
-79.32
28.3928.39
-29.43-29.43
1.421.42
-20.06-20.06
1.09
1.09
-4.89
-4.89
4.47
4.47-1.53
-1.531.99
1.99
-0.78
-0.78
-0.48
-0.48
24.32
24.32
-57.95
-57.95
2.30
2.30
-0.99
-0.99
7.28
7.28-1.28
-1.28
-8.62
-8.62
0.090.09-1.02
-1.02
35.6535.65
-22.49-22.49
39.17
39.17
-2.79
-2.79
-59.95
-59.95
28.0728.07
-29.35-29.35
0.400.402.63
2.63
-20.93-20.93
-4.44
-4.44
24.8524.85
-8.07-8.07
1.92
1.92
-16.28
-16.28
32.71
32.71
-3.94
-3.94
1.991.99-14.70
-14.70
17.1017.10
-28.26-28.26
0.76
0.76
1.871.87
-0.16
-0.16
25.0225.02
-2.23-2.23
2.612.61
0.230.23-0.08
-0.08 1.111.11
-1.68
-1.68
24.6424.64
-2.91-2.91
11.6611.66
-10.44-10.44
24.4224.42
-4.47-4.47
0.080.08-0.23
-0.23
4.85
4.85
-0.11
-0.11
15.40
15.40
-3.18
-3.18
4.43
4.437.327.32
-11.14-11.14
2.842.84
-3.90-3.90
-2.60
-2.60
0.04
0.04
-3.31
-3.31
-0.40
-0.40
Max N: 1214.68, Min N: -1442.39 kN
Verlauf der Normalkräfte
33
Stabkrafttabelle – Liste Nr. 6
34
35
Verformung des Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und Schräganströmung
max u = 0,536cm
36
Verformung des Gesamtmodell:
• Eigenlast• Wind in x• Wind in y• Wind Schräganströmung• Schneelast• Eigenlast und Schräganströmung• Eigenlast, Schnee und Schräganströmung
max u = 10,868cm
37
Interpretation der Verformungen:
• Max vertikale Durchbiegung des Gesamtsystems bei Lastfallkombination 1 (gges)
max u = 0,536cm
zul l/300 = 2202/300 = 7,34cm
Ausnutzung: 0,536/7,34 = 0,073 → 7,3%
38
Interpretation der Verformungen:
• Max horizontale Verschiebung des Gesamtsystems bei Lastfallkombination 7 (g+s+wschräg)
max u = 10,828cm
zul l/150 = 5269/150 = 35,13cm
Ausnutzung: 10,828/35,13 = 0,308 → 30,8%
• Schwingungsanalyse erforderlich
39
Bemessung nach DIN 1052, Aug. 2004:
Bemessung der Stützen S1:
Maßgebende LFK: Maximale Stabkraft (Nk) Bemessungswert (Nd)
Eigengewicht (Spiegel, Brücke, Turm, Treppe)
Wind Schräganströmungmax. S1 = + 1048,5 KN
~ 105 t (105 Pkw)1048,5 x 1,4 = + 1467,9 KN
Eigengewicht (Spiegel, Brücke, Turm, Treppe)
+ Schneelast + Wind Schräganströmungmin. S1 = - 1396,5 KN
~ 139 t (139 Pkw)1396,5 x 1,4 = - 1955,1 KN
Nachweis auf Zug und Biegung nach DIN 1052:2004-08; Abschn. 10.2.7:
Material: Originalstatik: Nadelholz – GK I, σz = 8,75 N/mm² (GSK) Vergleichsmaterial: Nadelholz C30, ft,0,k = 18 N/mm² (TSK)
sk = 5,65 m (Länge der Stütze)
40
105 Tonnen über die Stütze (DRUCK)
41
139 Tonnen ziehen die Stütze (ZUG)
Nachweis:
Vergleich Originalstatik:
NW nicht erbracht !
NW erbracht (92,6%)
Querschnittsfläche: A = 4 x 4 x 9 x 9 = 1296 cm²
1,17 0,02
Nachweis auf Druck (Knicken) und Biegung nach DIN 1052:2004-08; Abschn. 10.3.3:
Querschnittsfläche: A = 4 x 24 x 24 cm² = 2304 cm²
NW erbracht
NW erbracht
46
Vielen Dank für Ihre Aufmerksamkeit!
