Upload
kurt-leik
View
110
Download
0
Embed Size (px)
Citation preview
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
-1.47
-1.47
-121.18
-121.18
-121.18
-121.18
-135.44
-135.44
-135.44
-135.44
-99.41
-99.41
-99.41
-99.41
-68.59
-68.59
-68.59-68.59
-68.59
-1.93
-1.93
-1.93
-1.93
-111.14
-111.14
-111.14
-111.14
-99.56
-99.56
-99.56
-99.56
-124.72
-124.72
-124.72-124.72
-124.72
-165.13
-165.13
-165.13
-165.13
-64.05-64.05
-64.05
-64.05
-64.05
-111.31-111.31
-111.31
-111.31
-111.31
-99.71-99.71-99.71-99.71
-2.43
-2.43
-2.43
-2.43
-5.88
-5.88
-5.88
-5.88
-99.71-99.71-99.71-99.71
-0.99
-0.99
-0.99
-0.99
-59.34-59.34-59.34-59.34-59.34
-161.89
-161.89
-161.89
-161.89
1.87
1.87
1.87
1.87
2.06
2.06
2.06
2.06
-2.84
-2.84
-2.84
-2.84
2.54
2.54
2.54
2.54-5.88
-5.88
-5.88
-5.88
-124.87
-124.87
-124.87
-124.87-0.03
-0.03
-0.03
-0.03
-2.06
-2.06
-2.06
-2.06
-111.43
-111.43
-111.43
-111.43
1.03
1.03
1.03
1.03
-1.95
-1.95
-1.95
-1.95
-1.67
-1.67
-1.67
-1.67
-59.44-59.44
-59.44
-59.44
-59.44
-93.39
-93.39
-93.39
-93.39
0.71
0.71
0.71
0.71
-1.98
-1.98
-1.98
-1.98
-162.07
-162.07
-162.07
-162.07
-59.44
-59.44
-59.44
-59.44
-105.51
-105.51
-105.51
-105.51
-125.06
-125.06
-125.06
-125.06
-74.24
-74.24
-74.24
-74.24
-161.12
-161.12
-161.12
-161.12
-59.54-59.54-59.54-59.54
-145.29
-145.29
-145.29
-145.29
-93.69-93.69
-93.69
-93.69
-93.69
-74.31
-74.31
-74.31
-74.31
-54.78
-54.78
-54.78
-54.78
-134.77
-134.77
-134.77
-134.77
-116.19-116.19
-116.19
-116.19
-116.19
-93.82
-93.82
-93.82
-93.82
-157.44
-157.44
-157.44
-157.44
-1.48
-1.48
-1.48
-1.48
-3.28
-3.28
-3.28
-3.28
-74.40
-74.40
-74.40
-74.40
0.13
0.13
0.13
0.13
-49.74
-49.74
-49.74
-49.74
-134.90-134.90
-134.90
-134.90
-134.90
-93.97-93.97-93.97-93.97
1.95
1.95
1.95
1.95
1.58
1.58
1.58
1.58
-2.76
-2.76
-2.76
-2.76
-93.97-93.97-93.97-93.97
-1.44
-1.44
-1.44
-1.44
-1.27
-1.27
-1.27
-1.271.19
1.19
1.19
1.19
-0.02
-0.02
-0.02
-0.02
-0.91
-0.91
-0.91
-0.91
-107.26
-107.26
-107.26
-107.26
-135.11
-135.11
-135.11
-135.11
-69.86
-69.86
-69.86
-69.86
1.26
1.26
1.26
1.26
-87.89
-87.89
-87.89-87.89
-87.89
-49.79
-49.79
-49.79
-49.79
-0.80
-0.80
-0.80
-0.80
-157.61
-157.61
-157.61
-157.61
-0.05
-0.05
-0.05
-0.05
-126.75
-126.75
-126.75
-126.75
-2.29
-2.29
-2.29
-2.29
0.10
0.10
0.100.10
0.10
-66.60
-66.60
-66.60
-66.60
2.34
2.34
2.34
2.34
-0.83
-0.83
-0.83
-0.83
-68.98-68.98
-68.98
-68.98
-68.98
-2.44
-2.44
-2.44
-2.44
-66.70-66.70
-66.70
-66.70
-66.70
-107.42
-107.42
-107.42
-107.42
-46.44
-46.44
-46.44
-46.44
-110.89
-110.89
-110.89
-110.89
-140.75
-140.75
-140.75
-140.75
1.82
1.82
1.82
1.82
-66.70
-66.70
-66.70
-66.70
-2.09
-2.09
-2.09
-2.09
-69.03
-69.03
-69.03
-69.03
-2.29
-2.29
-2.29
-2.29
-1.84
-1.84
-1.84
-1.84
-38.10
-38.10
-38.10
-38.10
-111.04
-111.04
-111.04
-111.04
1.79
1.79
1.79
1.79
0.87
0.87
0.87
0.87
-66.80-66.80-66.80-66.80
-0.72
-0.72
-0.72
-0.72
-1.22
-1.22
-1.22
-1.22
-2.03
-2.03
-2.03
-2.03
-107.55-107.55
-107.55
-107.55
-107.55
-69.12
-69.12
-69.12
-69.12
-2.29
-2.29
-2.29
-2.29
0.18
0.18
0.18
0.18
-121.21
-121.21
-121.21
-121.21
-1.21
-1.21
-1.21
-1.21
-111.16
-111.16
-111.16
-111.16
-61.99
-61.99
-61.99
-61.99
-38.17
-38.17
-38.17
-38.17
0.59
0.59
0.59
0.59
-158.83-158.83
-158.83
-158.83
-158.83
-1.37
-1.37
-1.37
-1.37
-64.64
-64.64
-64.64
-64.64
-105.25
-105.25
-105.25-105.25
-105.25
-58.45
-58.45
-58.45-58.45
-58.45
-101.36
-101.36
-101.36-101.36
-101.36
-121.33
-121.33
-121.33
-121.33
-9.44-9.44-9.44-9.44
-59.86
-59.86
-59.86
-59.86
-33.16
-33.16
-33.16
-33.16
-100.53
-100.53
-100.53
-100.53
-59.96-59.96
-59.96
-59.96
-59.96
-58.52-58.52
-58.52
-58.52
-58.52
-155.48
-155.48
-155.48
-155.48
-0.45
-0.45
-0.45
-0.45
-30.73
-30.73
-30.73
-30.73
-0.96
-0.96
-0.96
-0.96
-2.97
-2.97
-2.97
-2.97
-96.49
-96.49
-96.49
-96.49
-100.69
-100.69
-100.69
-100.69
-59.96
-59.96
-59.96
-59.96
-121.52
-121.52
-121.52
-121.52
-1.68
-1.68
-1.68
-1.68
1.09
1.09
1.09
1.09
1.32
1.32
1.32
1.32
0.31
0.31
0.31
0.31
-1.60
-1.60
-1.60
-1.60
-2.17
-2.17
-2.17
-2.17
-0.87
-0.87
-0.87
-0.87
-8.85-8.85
-8.85-8.85
-60.05
-60.05
-60.05
-60.05
-0.14
-0.14
-0.14
-0.14
-100.83-100.83-100.83-100.83
-55.22
-55.22
-55.22
-55.22
-100.83-100.83-100.83-100.83
-30.64-30.64
-30.64
-30.64
-30.64
1.57
1.57
1.57
1.57
0.91
0.91
0.91
0.91
-3.12
-3.12
-3.12
-3.12
-0.01
-0.01
-0.01
-0.01
-0.25
-0.25
-0.25
-0.25
-2.44
-2.44
-2.44
-2.44
-155.65
-155.65
-155.65
-155.65
-112.80
-112.80
-112.80
-112.80
-55.25
-55.25
-55.25
-55.25
-96.62
-96.62
-96.62
-96.62
-94.71
-94.71
-94.71
-94.71
-52.20-52.20
-52.20
-52.20
-52.20
0.01
0.01
0.01
0.01
13.05
13.05
13.05
13.05
0.72
0.72
0.72
0.72
2.00
2.00
2.00
2.00
2.112.11
2.112.11
-29.04-29.04-29.04-29.04
-2.00
-2.00
-2.00
-2.00
-46.58
-46.58
-46.58
-46.58
0.59
0.59
0.59
0.59
-77.29
-77.29
-77.29
-77.29
-22.67-22.67-22.67-22.67-22.67
-96.76-96.76-96.76-96.76-96.76
-26.06
-26.06
-26.06
-26.06
-52.31
-52.31
-52.31
-52.31
-139.11-139.11
-139.11
-139.11
-139.11
-96.76-96.76-96.76-96.76
-102.87-102.87
-102.87
-102.87
-102.87
1.73
1.73
1.73
1.73
0.060.06
0.060.06
-0.53-0.53
-0.53-0.53
-1.36
-1.36
-1.36
-1.36
-46.63
-46.63
-46.63
-46.63
4.68
4.68
4.68
4.68
-0.01-0.01-0.01-0.01
-77.36
-77.36
-77.36
-77.36
-1.33
-1.33
-1.33
-1.33
0.87
0.87
0.87
0.87
1.11
1.11
1.11
1.11
-2.57
-2.57
-2.57
-2.57
-0.25
-0.25
-0.25
-0.25
-1.47
-1.47
-1.47
-1.47
-46.86-46.86
-46.86
-46.86
-46.86
-1.18
-1.18
-1.18
-1.18
-128.25
-128.25
-128.25
-128.25
-23.83-23.83-23.83
-23.83-23.83
-77.45
-77.45
-77.45
-77.45
-90.67
-90.67
-90.67
-90.67
-10.72 -10.72-10.72 -10.72
-2.54
-2.54
-2.54
-2.54
0.22
0.22
0.22
0.22
-43.13
-43.13
-43.13
-43.13
0.980.98
0.980.98
-103.01-103.01
-103.01
-103.01
-103.01
-0.10-0.10
-0.10
-0.10
-0.10
-44.14
-44.14
-44.14
-44.14
-73.11
-73.11
-73.11
-73.11
-38.20
-38.20
-38.20
-38.20
-1.01
-1.01
-1.01
-1.01
-0.99
-0.99
-0.99
-0.99
1.501.50
1.501.50
18.2918.2918.2918.29
-128.39
-128.39
-128.39
-128.39
-1.65
-1.65
-1.65
-1.65-10.72-10.72-10.72-10.72
-12.95
-12.95
-12.95
-12.95
19.82
19.82
19.82
19.82
-44.06
-44.06
-44.06-44.06
-44.06
-65.68-65.68
-65.68
-65.68
-65.68
-70.78
-70.78
-70.78
-70.78
-64.13-64.13
-64.13
-64.13
-64.13
-2.60
-2.60
-2.60
-2.60
-24.10-24.10-24.10-24.10
-2.93-2.93-2.93-2.93
-0.01
-0.01
-0.01
-0.01-64.13
-64.13
-64.13
-64.13
-103.14
-103.14
-103.14
-103.14
-0.13
-0.13
-0.13
-0.13
-38.27
-38.27
-38.27
-38.27
-65.78
-65.78
-65.78-65.78
-65.78
-1.23
-1.23
-1.23
-1.23
-0.84
-0.84
-0.84
-0.84
-2.00
-2.00
-2.00
-2.00
-5.36
-5.36
-5.36
-5.36
1.54
1.54
1.54
1.54
1.38
1.38
1.38
1.38
-42.71-42.71-42.71-42.71-42.71
0.29
0.29
0.29
0.29
-0.25
-0.25
-0.25
-0.25
-10.27 -10.27-10.27 -10.27
-65.78
-65.78
-65.78-65.78
-65.78
1.67
1.67
1.67
1.67
-128.59
-128.59
-128.59-128.59
-128.59
-1.87
-1.87
-1.87
-1.87
-2.18
-2.18
-2.18
-2.18
2.13
2.13
2.13
2.13
-1.51
-1.51
-1.51
-1.51
18.4118.4118.41 18.4118.41
-5.85
-5.85
-5.85
-5.85
-40.99
-40.99
-40.99
-40.99
-65.87
-65.87
-65.87
-65.87
-33.23-33.23
-33.23
-33.23
-33.23
-70.84-70.84
-70.84
-70.84
-70.84
-9.45-9.45-9.45-9.45
-96.97
-96.97
-96.97-96.97
-96.97
0.080.080.08
0.080.08
-1.92
-1.92
-1.92
-1.92
-30.43
-30.43
-30.43
-30.43
1.66
1.66
1.66
1.66
-0.18-0.18-0.18-0.18
-20.78-20.78-20.78
-20.78-20.78
-61.03
-61.03
-61.03
-61.03
-1.48
-1.48
-1.48
-1.48
-30.76
-30.76
-30.76
-30.76
-120.18-120.18
-120.18
-120.18
-120.18
0.22
0.22
0.22
0.22
-0.43
-0.43
-0.43
-0.43
-57.59
-57.59
-57.59
-57.59
1.23
1.23
1.23
1.23
1.24
1.24
1.24
1.24
1.661.661.661.66
-3.27
-3.27
-3.27
-3.27
-30.67-30.67
-30.67
-30.67
-30.67
19.0019.0019.0019.00
-90.95
-90.95
-90.95
-90.95
-70.92-70.92
-70.92
-70.92
-70.92
-1.53
-1.53
-1.53
-1.53
0.11
0.11
0.11
0.111.501.50
1.501.50
-1.09
-1.09
-1.09
-1.09
0.32
0.32
0.32
0.32
-3.20
-3.20
-3.20
-3.20
-57.66
-57.66
-57.66-57.66
-57.66
-8.87-8.87
-8.87-8.87
-111.13
-111.13
-111.13
-111.13
-5.96
-5.96
-5.96
-5.96
-18.10
-18.10
-18.10
-18.10
26.67
26.67
26.67
26.67
-29.08-29.08-29.08-29.08
-19.50-19.50-19.50-19.50
-1.19-1.19
-1.19-1.19
0.010.010.010.01
6.32
6.32
6.32
6.32
-26.10
-26.10
-26.10
-26.10
-91.09
-91.09
-91.09
-91.09
-159.98
-159.98
-159.98
-159.98
2.202.20
2.202.20
-54.23
-54.23
-54.23
-54.23
-66.39
-66.39
-66.39
-66.39
1.661.66
1.661.66
-0.02-0.02-0.02-0.02
0.69
0.69
0.69
0.69
13.05
13.05
13.05
13.05
14.0214.02
14.0214.02
-51.21
-51.21
-51.21
-51.21
-111.29-111.29
-111.29
-111.29
-111.29
1.66
1.66
1.66
1.66
-91.23-91.23-91.23-91.23
-2.28
-2.28
-2.28
-2.28
4.67
4.67
4.67
4.67
-91.22-91.22-91.22-91.22-91.22
-22.72-22.72-22.72-22.72-22.72
-0.25
-0.25
-0.25
-0.25
-0.28
-0.28
-0.28
-0.28
-0.25
-0.25
-0.25
-0.25
-10.74-10.74 -10.74-10.74
-51.32
-51.32
-51.32-51.32
-51.32
-63.09
-63.09
-63.09
-63.09
-156.32
-156.32
-156.32
-156.32
6.906.90
6.906.90
1.72
1.72
1.72
1.72
-1.59
-1.59
-1.59
-1.59
2.45
2.45
2.45
2.45
1.46
1.46
1.46
1.46
1.51
1.51
1.51
1.51
-0.76
-0.76
-0.76
-0.76
-0.50-0.50
-0.50-0.50
-1.92
-1.92
-1.92
-1.92
-111.41
-111.41
-111.41
-111.41
0.95
0.95
0.95
0.95
-1.98
-1.98
-1.98
-1.98
-2.74
-2.74
-2.74
-2.74
-63.20
-63.20
-63.20
-63.20
-45.85
-45.85
-45.85
-45.85
-85.02
-85.02
-85.02
-85.02
12.6312.6312.6312.63
0.17
0.17
0.17
0.17
0.75
0.75
0.75
0.75
-1.69
-1.69
-1.69
-1.69-10.74-10.74-10.74-10.74
-46.03
-46.03
-46.03
-46.03
-23.90-23.90
-23.90-23.90
-2.03
-2.03
-2.03
-2.03
-156.49
-156.49
-156.49
-156.49
-63.20
-63.20
-63.20-63.20
-63.20
0.680.68
0.680.68
-1.24-1.24
-1.24-1.24
-105.48
-105.48
-105.48-105.48
-105.48
-64.21
-64.21
-64.21
-64.21
17.82
17.82
17.82
17.82
-9.81
-9.81
-9.81
-9.81
-45.94
-45.94
-45.94
-45.94
6.416.416.416.416.41
-64.65
-64.65
-64.65
-64.65
-10.34-10.34 -10.34-10.34-2.96-2.96-2.96-2.96-2.96
-63.29-63.29-63.29-63.29
-44.68-44.68-44.68-44.68
-139.69
-139.69
-139.69-139.69
-139.69
18.3218.3218.3218.32
1.001.00
1.001.00
19.84
19.84
19.84
19.84
-12.94
-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
362.37
-578.32
-578.32
-1371.86
-1371.86
66.15
66.15
-1.15
-1.15
6.23
6.23
-83.78
-83.78
0.34
0.34
-61.59
-61.59
16.81
16.81
-0.12
-0.12
1.84
1.84
-64.75
-64.75
4.47
4.47
-76.12
-76.12
363.04
363.04
-578.53
-578.53
-1250.07
-1250.07
2.59
2.59
-10.69
-10.69
78.05
78.05
-2.60
-2.60
363.06
363.06
-579.34
-579.34
88.38
88.38
-9.04
-9.04
-1153.04
-1153.04
1214.68
1214.68
-191.47
-191.47
365.53
365.53
-496.09
-496.09
-1154.09
-1154.09
1145.19
1145.19
-186.81
-186.81
291.58
291.58
-494.18
-494.18
-1155.44
-1155.44
67.12
67.12
-15.10
-15.10
10.17
10.17
-0.20
-0.20
0.02
0.02
-80.64
-80.64
586.76
586.76
-783.36
-783.36
7.75
7.75
-73.34
-73.34
1146.20
1146.20
-187.05
-187.05
-1055.96
-1055.96
292.22
292.22
-494.31
-494.31
2.72
2.72
-8.48
-8.48
77.48
77.48
-2.74
-2.74
292.23292.23
-495.24-495.24
1048.04
1048.04
-170.30
-170.30
292.23292.23
-495.24-495.24
-963.21
-963.21
527.98
527.98-768.06
-768.06
968.69
968.69
-158.74
-158.74
289.92
289.92-421.46
-421.46
-964.04
-964.04
61.59
61.59
-0.34
-0.34
969.55
969.55
-158.93
-158.93
223.35
223.35
-379.19
-379.19
0.04
0.04
-84.25
-84.25
0.29
0.29
-56.91
-56.91
-964.84
-964.84
527.96
527.96
-769.17
-769.17
60.31
60.31
-4.95
-4.95
0.24
0.24
-96.16
-96.16
110.25
110.25
-7.45
-7.45
13.11
13.11
11.54
11.54
-0.13
-0.13
970.57
970.57
-159.20
-159.20
0.22
0.22
-63.03
-63.03
79.79
79.79
-7.05
-7.05
2.88
2.88
-12.43
-12.43
2.82
2.82
-64.88
-64.88
19.95
19.95
-97.90
-97.90
223.86
223.86-379.27
-379.27
-882.69
-882.69
2.26
2.26
-8.45
-8.45
63.40
63.40
-2.29
-2.29
885.00
885.00
-150.36
-150.36
528.95
528.95
-653.21
-653.21
-809.12
-809.12
223.90
223.90
-379.89
-379.89
87.15
87.15
-2.69
-2.69
798.68
798.68
-139.74
-139.74
-809.94
-809.94
444.13
444.13
-653.39
-653.39
667.31
667.31
-773.43
-773.43
225.22
225.22-311.94
-311.94
799.36
799.36
-139.96
-139.96
-810.87-810.87
0.12
0.12
-83.01
-83.01
93.12
93.12
-24.47
-24.47
-810.87-810.87
70.94
70.94
-2.18
-2.18
165.68165.68
-309.67-309.67
654.84
654.84
-711.67
-711.67
10.65
10.65
-0.38
-0.38
14.09
14.09
-0.17
-0.17
52.13
52.13
-11.41
-11.41
4.04
4.04
-13.45
-13.45
-114.43
-114.43
444.98
444.98
-653.60
-653.60
0.60
0.60
-69.21
-69.21
71.02
71.02
-10.29
-10.29
800.00
800.00
-140.13
-140.13
7.67
7.67-0.44
-0.44
5.39
5.39
-58.46
-58.46
0.10
0.10
-61.67
-61.67
166.07
166.07
-309.81
-309.81
-729.73
-729.73
1.19
1.19
-6.49
-6.49
61.78
61.78
-2.67
-2.67
655.81
655.81
-711.87
-711.87
166.07
166.07
-309.81
-309.81
725.90
725.90
-133.87
-133.87
444.96
444.96
-654.81
-654.81
0.13
0.13 -624.49
-624.49
3.65
3.65
-1357.89
-1357.89
166.06166.06
-310.38-310.38
548.21
548.21
-696.08
-696.08
657.48
657.48
-119.04
-119.04
0.16
0.16
-625.05
-625.05
165.83
165.83
-250.67
-250.67
558.99
558.99
-599.80
-599.80
441.72
441.72
-562.84
-562.84
658.16
658.16
-119.22
-119.22
3.78
3.78
-1285.93
-1285.93
0.25
0.25
-68.62
-68.62
80.15
80.15
-4.06
-4.06
0.17
0.17-625.65
-625.65
56.91
56.91
-0.29
-0.29
116.88
116.88
-245.52
-245.52
558.97
558.97
-600.83
-600.83
658.99658.99-119.42-119.42
10.35
10.35
-0.05
-0.05
2.15
2.15
-7.95
-7.95
10.74
10.74
-72.33
-72.33
658.99658.99
-119.42-119.42
64.16
64.16
-4.74
-4.74
46.63
46.63
-4.17
-4.177.21
7.21
-0.10
-0.10
0.39
0.39
-46.68
-46.68
2.21
2.21
-50.39
-50.39
365.47
365.47
-547.98
-547.98
560.04
560.04
-601.16
-601.16
0.06
0.06
-553.49
-553.49
1.75
1.75
-4.82
-4.82
587.33
587.33
-112.93
-112.93
117.12
117.12
-245.57
-245.57
51.30
51.30
-0.95
-0.95
3.80
3.80
-1287.07
-1287.07
67.80
67.80
-0.19
-0.19
474.70
474.70
-589.49
-589.49
6.34
6.34
-83.85
-83.85
0.75
0.75
-57.76
-57.76
-495.73
-495.73
15.38
15.38
-0.21
-0.21
0.31
0.31
-65.91
-65.91
513.47
513.47
-86.07
-86.07
4.66
4.66
-76.02
-76.02
-496.22
-496.22
366.13
366.13-548.19
-548.19
117.52
117.52
-195.64
-195.64
467.27
467.27
-489.97
-489.97
3.04
3.04
-1172.56
-1172.56
2.58
2.58
-10.49
-10.49
-496.22
-496.22
77.90
77.90
-2.88
-2.88
513.97
513.97
-86.13
-86.13
-68.81
-68.81
58.19
58.19
-2.90
-2.90
72.51
72.51
-184.14
-184.14
467.30
467.30
-490.83
-490.83
2.33
2.33
-10.29
-10.29
7.12
7.12
-0.55
-0.55
-496.80-496.80
1.34
1.34
-61.15
-61.15
42.13
42.13
-3.02
-3.02
61.16
61.16
-7.87
-7.87
366.14
366.14
-548.93
-548.93
514.42
514.42
-86.26
-86.26
82.89
82.89
-9.69
-9.69
1.69
1.69
-44.02
-44.02
3.75
3.75-1072.27
-1072.27
2.12
2.12
-46.12
-46.12
467.92
467.92
-490.98
-490.98
-432.44
-432.44
72.68
72.68
-184.27
-184.27
0.87
0.87
-3.27
-3.27
1170.42
1170.42-203.95
-203.95
45.49
45.49
-1.81
-1.81
452.64
452.64
-81.87
-81.87
388.14
388.14
-487.18
-487.18
0.03
0.03
-380.02
-380.02
368.22
368.22-465.73
-465.73
3.75
3.75
-1073.33
-1073.33
0.270.27
-26.53-26.53
396.16
396.16
-76.86
-76.86
72.53
72.53
-132.26
-132.26
393.38
393.38
-408.01
-408.01
396.55
396.55
-77.00
-77.00
0.04
0.04
-380.33
-380.33
1102.88
1102.88
-199.64
-199.64
1.94
1.94
-4.76
-4.76
34.81
34.81
-132.05
-132.05
0.06
0.06
-57.20
-57.20
64.19
64.19
-3.96
-3.96
293.43
293.43
-466.29
-466.29
393.39
393.39
-408.85
-408.85
396.55
396.55
-77.00
-77.00
3.773.77
-1074.57
-1074.57
37.19
37.19
-4.40
-4.40
2.45
2.45
-6.44
-6.44
6.40
6.40
-0.31
-0.31
1.42
1.42
-39.03
-39.03
6.90
6.90
-54.67
-54.67
67.78
67.78
-11.27
-11.27
52.64
52.64
-3.09
-3.09
0.240.24
-32.68-32.68
396.99
396.99
-77.13
-77.13
1.10
1.10
-38.81
-38.81
394.13394.13
-408.95-408.95
0.01
0.01
-324.11
-324.11
394.13394.13
-408.95-408.95
34.87
34.87
-131.93
-131.93
9.20
9.20
-0.25
-0.25
1.64
1.64-2.10
-2.10
-82.47
-82.47
0.120.12
-1.39-1.39
40.48
40.48
-0.28
-0.28
7.86
7.86
-73.33
-73.33
1103.77
1103.77-199.89
-199.89
3.02
3.02
-982.36
-982.36
342.52
342.52
-72.12
-72.12
294.05
294.05-466.42
-466.42
321.27
321.27-400.20
-400.20
-276.89
-276.89
2.34
2.34
-3.83
-3.83
29.73
29.73
-9.34
-9.34
8.04
8.04
-3.25
-3.25
2.74
2.74
-8.29
-8.29
9.019.01 -0.49-0.49
35.3935.39
-77.54-77.54
77.28
77.28
-3.07
-3.07
295.08
295.08
-61.48
-61.48
0.90
0.90
-0.10
-0.10
317.57
317.57-310.86
-310.86
0.500.50
-72.50-72.50
294.05294.05
-467.26-467.26
20.84
20.84
-71.88
-71.88
-277.21
-277.21
1005.58
1005.58
-182.83
-182.83
294.05294.05
-467.26-467.26
3.56
3.56 -887.68
-887.68
36.78
36.78
-0.04
-0.04
2.372.37-1.36-1.36
2.482.48
-9.98-9.98
-52.37
-52.37
295.35
295.35
-61.55
-61.55
11.04
11.04
-33.12
-33.12
1.341.34-0.02
-0.02
317.59
317.59
-311.41
-311.41
47.71
47.71
-2.21
-2.21
3.99
3.99
-0.12
-0.12
1.53
1.53
-5.49
-5.49
1.10
1.10
-44.89
-44.89
1.60
1.60
-46.18
-46.18
48.17
48.17
-3.85
-3.85
-217.86
-217.860.11
0.11-2.54
-2.54
925.99
925.99-172.10
-172.10
0.130.13
-94.17-94.17
318.10
318.10
-311.60
-311.60
291.45
291.45-393.47
-393.47
26.89 26.89
-25.02 -25.02
42.39
42.39
-3.74
-3.74
0.35
0.35
-46.87
-46.87
247.84
247.84
-58.25
-58.25
23.6423.64
3.56
3.56
-888.51
-888.51
57.76
57.76
-0.75
-0.75
0.01
0.01
-181.10
-181.10
249.84
249.84
-308.83
-308.83
203.13
203.13
-52.69
-52.69
12.14
12.14
-1.54
-1.540.21
0.21
-13.45
-13.45
38.5038.50
-0.04-0.04
39.6739.67
-20.87-20.87
926.83
926.83
-172.30
-172.30
-56.20
-56.20
26.8926.89
-25.02-25.02
8.68
8.68
-28.46
-28.46
50.44
50.44
-6.87
-6.87
0.01
0.01
-181.09
-181.09
253.17
253.17-238.31
-238.31
223.94
223.94
-355.43
-355.43
21.16
21.16-111.55
-111.55
0.65
0.65
-78.35
-78.35
0.030.03
-99.36-99.36
42.6842.68
-4.48-4.48
3.80
3.80
-2.36
-2.36
16.12
16.12-114.53
-114.53
3.57
3.57 -889.25
-889.25
0.12
0.12
-46.80
-46.80
203.28
203.28
-52.80
-52.80
253.19
253.19-238.82
-238.82
40.10
40.10
-2.72
-2.72
60.99
60.99
-1.89
-1.89
0.83
0.83
-90.71
-90.71
107.15
107.15
-6.88
-6.88
13.18
13.18
3.97
3.97
0.010.01
-125.82-125.82
1.50
1.50
-41.81
-41.81
46.23
46.23
-1.28
-1.28
-49.18 -49.18
253.19
253.19
-238.82
-238.82
10.32
10.32
-0.19
-0.19
927.72
927.72-172.57
-172.57
-66.03
-66.03
73.85
73.85
-7.69
-7.69
3.08
3.08
-11.11
-11.11
3.06
3.06
-64.87
-64.87
36.5136.51
-20.81-20.81
19.00
19.00
-99.38
-99.38
-108.69
-108.69
253.62
253.62
-238.94
-238.94
157.21
157.21
-46.95
-46.95
224.44
224.44-355.51
-355.51
7.487.48
-19.33-19.33
2.74
2.74
-815.16
-815.16
1.531.53-2.24-2.24
-46.19
-46.19
15.97
15.97
-57.04
-57.04
2.32
2.32
-8.23
-8.23
1.541.54
-0.29-0.29
39.3539.35
-87.04-87.04
193.82
193.82
-233.74
-233.74
63.31
63.31
-2.64
-2.64
121.99
121.99
-44.94
-44.94
842.28
842.28
-163.38
-163.38
47.18
47.18
0.15
0.15
-6.52
-6.52
195.07
195.07
-182.27
-182.27
30.69
30.69
-0.26
-0.26
1.89
1.89-29.06
-29.06
18.6018.60
0.01
0.01
-51.93
-51.93
122.05
122.05
-44.81
-44.81
41.8941.89
-20.35-20.35
3.57
3.57 -738.02
-738.02
224.46
224.46
-356.05
-356.05
38.83
38.83
-2.80
-2.80
0.26
0.26-44.35
-44.35
2.312.31
-36.47-36.47
1.25
1.25
-1.58
-1.58
1.80
1.80
-36.66
-36.66
47.64
47.64
-5.10
-5.10
195.09
195.09
-182.60
-182.60
14.4214.42
-18.54-18.54
758.03
758.03
-153.51
-153.51
2.35
2.35
-9.11
-9.11
7.93
7.93
-31.25
-31.25
43.95
43.95
-1.55
-1.55
69.2869.28
-43.89-43.89
39.6939.69
-68.55-68.55
34.0534.05
-1.89-1.89
1.391.39
-0.12-0.12
9.64
9.64
-1.55
-1.55
52.93
52.93
-39.80
-39.80
3.57
3.57
-738.85
-738.85
577.67
577.67
-781.74
-781.74
3.373.37
-5.07
-5.07
140.99
140.99
-179.74
-179.74
225.29
225.29-288.17
-288.17
25.2425.24
-1.37-1.37
10.84
10.84
-0.40
-0.40
19.78
19.78
-19.30
-19.30
51.7551.75
-35.60-35.60
140.99
140.99
-135.11
-135.11
758.70
758.70
-153.73
-153.73
35.26
35.26
-2.19
-2.19
3.583.58
-739.69-739.69
0.82
0.82
-76.41
-76.41
7.27
7.27
-37.23
-37.23
3.583.58
-739.68-739.68
26.5126.51
-46.54-46.54
71.20
71.20
-2.61
-2.61
-7.70
-7.70
7.12
7.12-0.52
-0.52
35.8535.85
-16.37-16.37
140.98
140.98
-135.41
-135.41
164.64
164.64
-289.53
-289.53
565.93
565.93
-719.19
-719.19
50.1850.18
-47.64-47.64
10.68
10.68
-0.38
-0.38
53.05
53.05
-7.12
-7.12
4.27
4.27
-11.87
-11.87
2.24
2.24
-14.99
-14.9917.16
17.16
-0.13
-0.13
0.54
0.54
-68.89
-68.89
1.661.66
-10.74-10.74
64.39
64.39
-11.01
-11.01
759.25
759.25
-153.91
-153.91
6.70
6.70-0.47
-0.47
5.56
5.56
-58.49
-58.49
-64.64
-64.64
165.00
165.00
-289.68
-289.68
87.60
87.60
-129.19
-129.19
2.63
2.63
-667.75
-667.75
62.5462.54
-37.24-37.24
44.60
44.60
-0.11
-0.11
1.30
1.30
-6.28
-6.28
52.90
52.90-3.42
-3.42
35.8535.85
-16.37-16.37
90.74
90.74
-93.17
-93.17
46.6346.63
-47.73-47.73
61.55
61.55
-3.16
-3.16
566.80
566.80
-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!