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8/18/2019 7-Span MDM for frames
1/108
Moment Distribution Method
Column 1
Beam 1
8/18/2019 7-Span MDM for frames
2/108
8/18/2019 7-Span MDM for frames
3/108
MDM
0.68 0.32 0.20 0.43
1.00 1.00 1.00 1.00
0.00 -56.76 56.76 0.00
38.83 17.92 -9.53 -20.66
84.80 -4.77 8.96 -54.88-54.76 -25.28 9.24 20.02
-16.03 4.62 -12.64 4.37
7.81 3.60 1.62 3.51
10.17 0.81 1.80 -1.74
-7.51 -3.47 0.06 0.14
63.31 -63.31 56.27 -49.24
150.24 -105.09
-3.60 -2.023.90 1.75
20.35 -3.49
-27.38 10.01
-32.06 8.74
19.42 -10.33
169.61 -109.76
0.00 0.00
0.41 0.30
1.00 1.00
0.41 0.19 0.14 0.301.00 1.00 1.00 1.00
0.00 -417.50 417.50 0.00
169.61 78.28 -50.66 -109.76
84.82 -25.33 39.14 -55.75
-32.06 -14.79 4.03 8.74
-24.72 2.02 -7.40 7.93
20.35 9.39 -1.61 -3.49
5.76 -0.80 4.70 0.19
-3.60 -1.66 -0.93 -2.02
220.16 -370.40 404.77 -154.17
204.37 -147.86
-6.31 -0.33
10.17 -1.74
11.52 0.37
-16.03 4.37
-49.43 15.86
8/18/2019 7-Span MDM for frames
4/108
84.80 -54.88
169.64 -111.50
0.00 0.00
0.41 0.30
1.00 1.00
0.41 0.19 0.14 0.30
1.00 1.00 1.00 1.000.00 -417.57 417.57 0.00
169.64 78.29 -51.46 -111.50
62.61 -25.73 39.15 -35.82
-49.43 -22.81 7.32 15.86
-15.99 3.66 -11.41 4.86
11.52 5.32 0.17 0.37
5.26 0.09 2.66 -0.02
-6.31 -2.91 -0.15 -0.33
177.30 -381.67 403.84 -126.59
8/18/2019 7-Span MDM for frames
5/108
166.93 -110.42
-2.69 -0.81
5.76 0.19
10.52 -0.04
-24.72 7.93
-31.98 9.7184.82 -55.75
125.21 -71.64
0.00 0.00
0.47 0.33
1.00 1.00
0.34 0.21 0.15 0.24
1.00 1.00 1.00 1.00
0.00 -267.37 267.37 0.00
90.67 55.80 -33.06 -53.73
0.00 -16.53 27.90 0.00-23.16 -14.25 4.48 7.29
0.00 2.24 -7.13 0.00
7.62 4.69 -0.02 -0.03
0.00 -0.01 2.35 0.00
-1.95 -1.20 -0.37 -0.61
73.19 -236.63 261.52 -47.08
37.57 -23.24
0.00 0.003.81 -0.02
0.00 0.00
-11.58 3.64
0.00 0.00
45.34 -26.87
0.00 0.00
0.00 0.00
0.00 0.00
1.00 1.00
8/18/2019 7-Span MDM for frames
6/108
ea!tions
-63.31 56.27
16.12
6.5053.47 51.31
53.47
51.31
3.32
25.38
-63.31 -56.27
71.18 63.31 51.45
150.24 71.18 -105.09 51.45
-370.40 404.77
118.58
6.50
380.10 390.67
380.10
390.67
3.21
238.78
8/18/2019 7-Span MDM for frames
7/108
-370.40 -404.77
141.51 220.16 100.67
204.37 141.51 -147.86 100.67
8/18/2019 7-Span MDM for frames
8/108
-381.67 403.84
118.60
6.50
382.04 388.86
382.04
388.86
3.22
233.65
-381.67 -403.84
114.74 177.30 79.00
166.93 114.74 -110.42 79.00
-236.63 261.52
75.94
6.50
242.98 250.63
242.98
250.63
3.20
152.08
8/18/2019 7-Span MDM for frames
9/108
-236.63 -261.52
27.69 73.19 17.58
37.57 27.69 -23.24 17.58
8/18/2019 7-Span MDM for frames
10/108
Moment Distribution Method
Column 1
Beam 1
8/18/2019 7-Span MDM for frames
11/108
8/18/2019 7-Span MDM for frames
12/108
MDM
0.68 0.32 0.20 0.43
1.00 1.00 1.00 1.00
0.00 -56.76 56.76 0.00
38.83 17.92 -9.53 -20.66
113.07 -4.77 8.96 -72.57-74.10 -34.20 12.76 27.65
-20.11 6.38 -17.10 5.20
9.39 4.34 2.31 5.01
14.23 1.16 2.17 -2.56
-10.53 -4.86 0.13 0.29
70.79 -70.79 56.46 -57.64
197.11 -136.86
-4.34 -3.004.70 2.50
28.47 -5.12
-37.05 13.82
-40.22 10.41
19.42 -10.33
226.14 -145.14
0.00 0.00
0.41 0.30
1.00 1.00
0.41 0.19 0.14 0.301.00 1.00 1.00 1.00
0.00 -556.64 556.64 0.00
226.14 104.37 -66.99 -145.14
113.08 -33.49 52.19 -73.44
-40.22 -18.56 4.80 10.41
-35.42 2.40 -9.28 11.65
28.47 13.14 -2.36 -5.12
7.16 -1.18 6.57 0.72
-4.34 -2.00 -1.39 -3.00
294.87 -491.98 540.18 -203.94
267.80 -192.34
-9.04 -0.26
14.23 -2.56
14.33 1.43
-20.11 5.20
-70.84 23.29
8/18/2019 7-Span MDM for frames
13/108
113.07 -72.57
226.17 -146.88
0.00 0.00
0.41 0.30
1.00 1.00
0.41 0.19 0.14 0.30
1.00 1.00 1.00 1.000.00 -556.71 556.71 0.00
226.17 104.38 -67.79 -146.88
95.20 -33.90 52.19 -54.96
-70.84 -32.70 10.75 23.29
-20.54 5.38 -16.35 5.53
14.33 6.61 0.66 1.43
7.70 0.33 3.31 -0.27
-9.04 -4.17 -0.12 -0.26
242.97 -510.78 539.37 -172.12
8/18/2019 7-Span MDM for frames
14/108
246.25 -161.88
-3.30 -1.38
7.16 0.72
15.39 -0.54
-35.42 11.65
-41.08 11.06113.08 -73.44
190.40 -109.93
0.00 0.00
0.47 0.33
1.00 1.00
0.34 0.21 0.15 0.24
1.00 1.00 1.00 1.00
0.00 -406.59 406.59 0.00
137.89 84.85 -50.74 -82.45
0.00 -25.37 42.43 0.00-29.75 -18.31 5.10 8.29
0.00 2.55 -9.15 0.00
11.15 6.86 -0.25 -0.41
0.00 -0.13 3.43 0.00
-2.39 -1.47 -0.64 -1.04
116.90 -357.59 396.77 -75.60
59.64 -37.28
0.00 0.005.57 -0.20
0.00 0.00
-14.87 4.15
0.00 0.00
68.94 -41.22
0.00 0.00
0.00 0.00
0.00 0.00
1.00 1.00
8/18/2019 7-Span MDM for frames
15/108
ea!tions
-70.79 56.46
16.12
6.5054.59 50.19
54.59
50.19
3.39
21.66
-70.79 -56.46
89.30 70.79 64.83
197.11 89.30 -136.86 64.83
-491.98 540.18
158.10
6.50
506.41 521.24
506.41
521.24
3.20
319.06
8/18/2019 7-Span MDM for frames
16/108
-491.98 -540.18
187.56 294.87 132.09
267.80 187.56 -192.34 132.09
8/18/2019 7-Span MDM for frames
17/108
-510.78 539.37
158.12
6.50
509.49 518.29
509.49
518.29
3.22
310.06
-510.78 -539.37
163.07 242.97 111.33
246.25 163.07 -161.88 111.33
-357.59 396.77
115.48
6.50
369.28 381.34
369.28
381.34
3.20
232.86
8/18/2019 7-Span MDM for frames
18/108
-357.59 -396.77
44.14 116.90 28.22
59.64 44.14 -37.28 28.22
8/18/2019 7-Span MDM for frames
19/108
frame A:
3.00
16.12 8.
e "
m
3.00
118.58 52.
d i
m
3.00
118.60 46.
! h
m
4.00
75.94 46.
b #
m
a $
6.50 3.
Distribution %a!tors &Columns'
D%ed 0.684 D$"i 0.431
D%de 0.406 D(" 0.301
D%d! 0.406 D(h 0.301
D%!d 0.406 D$hi 0.301
D%!b 0.406 D%h# 0.301D%b! 0.468 D%#h 0.326
D$ba 0.339 D$#$ 0.244
D$ab 0.000 D)# 0.000
Distribution %a!tors &Beams'
D$e" 0.316 D$"o 0.370
D$"e 0.199 D$o" 0.300
D$di 0.188 D(n 0.258
D(d 0.139 D$ni 0.222D%!h 0.188 D%hm 0.258
D%h! 0.139 D%mh 0.222
D$b# 0.209 D$#l 0.279
D$#b 0.150 D*# 0.238
%i+ed ,nd Moments
D$e" -56.756 D$"o -8.861
8/18/2019 7-Span MDM for frames
20/108
D$"e 56.756 D$o" 8.861
D$di -417.500 D(n -53.247
D(d 417.500 D$ni 53.247
D%!h -417.571 D%hm -47.530
D%h! 417.571 D%mh 47.530
D$b# -267.372 D$#l -47.530
D$#b 267.372 D*# 47.530
8/18/2019 7-Span MDM for frames
21/108
0.37 0.30 0.35 0.35 0.41
1.00 1.00 1.00 1.00 1.00
-8.86 8.86 0.00 -5.57 5.57
-17.71 -0.99 -1.15 -1.15 20.79
-0.49 -8.85 -2.41 10.40 -0.5817.16 0.26 0.30 0.30 -14.45
0.13 8.58 1.20 -7.23 0.15
3.01 -0.76 -0.89 -0.89 1.27
-0.38 1.50 0.09 0.63 -0.45
0.12 -0.67 -0.78 -0.78 -0.59
-7.03 7.93 -3.64 -4.29 11.72
-3.17
-0.07-0.45
0.18
0.15
2.40
-0.58
-4.82
0.00
0.26
1.00
0.26 0.22 0.26 0.26 0.291.00 1.00 1.00 1.00 1.00
-53.25 53.25 0.00 -34.67 34.67
-94.08 -4.13 -4.82 -4.82 79.24
-2.06 -47.04 -1.25 39.62 -2.41
7.49 2.05 2.40 2.40 -11.44
1.03 3.75 1.11 -5.72 1.20
-2.99 0.16 0.18 0.18 3.93
0.08 -1.49 0.23 1.97 0.09
-1.73 -0.06 -0.07 -0.07 -0.31
-145.51 6.49 -2.21 -1.10 104.97
-1.25
-0.32
0.09
0.46
1.20
2.22
8/18/2019 7-Span MDM for frames
22/108
8/18/2019 7-Span MDM for frames
23/108
-6.58
-0.44
0.23
-0.11
1.11
-1.56-1.25
-4.56
0.00
0.28
1.00
0.28 0.24 0.21 0.28 0.31
1.00 1.00 1.00 1.00 1.00
-47.53 47.53 0.00 -31.07 31.07
-61.41 -3.91 -3.42 -4.56 75.13
-1.96 -30.70 0.00 37.56 -2.288.33 -1.33 -1.17 -1.56 -9.73
-0.67 4.16 0.00 -4.86 -0.78
-0.04 -0.10 -0.09 -0.11 2.73
-0.05 -0.02 0.00 1.37 -0.06
-0.69 -0.37 -0.33 -0.44 -0.19
-104.01 15.25 -5.00 -3.67 95.89
-2.34
0.00-0.04
0.00
-0.58
0.00
-1.71
0.00
0.00
0.00
1.00
8/18/2019 7-Span MDM for frames
24/108
-7.03 7.93 -4.29 11.72
8.68 7.43
3.50 3.0014.93 15.45 8.67 13.62
14.93 8.67
15.45 13.62
1.72 1.17
5.82 0.77
-7.03 -7.93 -4.29 -11.72
-49.24 2.27 -3.64
-3.17 2.27 75.23
-145.51 6.49 -1.10 104.97
52.16 46.22
3.50 3.00
131.00 51.56 34.71 103.95
131.00 34.71
51.56 103.95
2.51 0.75
19.00 11.93
8/18/2019 7-Span MDM for frames
25/108
-145.51 -6.49 -1.10 -104.97
-154.17 1.15 -2.21
-1.25 1.15 106.85
8/18/2019 7-Span MDM for frames
26/108
-129.40 6.58 -2.07 108.99
46.56 50.54
3.50 3.00
116.57 46.39 40.17 111.45
116.57 40.17
46.39 111.45
2.50 0.79
16.53 13.89
-129.40 -6.58 -2.07 -108.99
-126.59 3.28 -3.25
-6.58 3.28 103.91
-104.01 15.25 -3.67 95.89
46.56 41.42
3.50 3.00
106.84 56.12 31.39 92.87
106.84 31.39
56.12 92.87
2.29 0.76
18.57 8.22
8/18/2019 7-Span MDM for frames
27/108
-104.01 -15.25 -3.67 -95.89
-47.08 1.84 -5.00
-2.34 1.84 25.55
8/18/2019 7-Span MDM for frames
28/108
frame B:
3.00
16.12 8.
e "
m
3.00
158.10 73.
d i
m
3.00
158.12 67.
! h
m
4.00
115.48 67.
b #
m
a $
6.50 3.
Distribution %a!tors &Columns'
D%ed 0.684 D$"i 0.431
D%de 0.406 D(" 0.301
D%d! 0.406 D(h 0.301
D%!d 0.406 D$hi 0.301D%!b 0.406 D%h# 0.301
D%b! 0.468 D%#h 0.326
D$ba 0.339 D$#$ 0.244
D$ab 0.000 D)# 0.000
Distribution %a!tors &Beams'
D$e" 0.316 D$"o 0.370
D$"e 0.199 D$o" 0.300
D$di 0.188 D(n 0.258D(d 0.139 D$ni 0.222
D%!h 0.188 D%hm 0.258
D%h! 0.139 D%mh 0.222
D$b# 0.209 D$#l 0.279
D$#b 0.150 D*# 0.238
%i+ed ,nd Moments
8/18/2019 7-Span MDM for frames
29/108
D$e" -56.756 D$"o -8.861
D$"e 56.756 D$o" 8.861
D$di -556.644 D(n -74.970
D(d 556.644 D$ni 74.970
D%!h -556.714 D%hm -69.253
D%h! 556.714 D%mh 69.253
D$b# -406.586 D$#l -69.253D$#b 406.586 D*# 69.253
8/18/2019 7-Span MDM for frames
30/108
0.37 0.30 0.35 0.35 0.41
1.00 1.00 1.00 1.00 1.00
-8.86 8.86 0.00 -5.57 5.57
-17.71 -0.99 -1.15 -1.15 20.79
-0.49 -8.85 -3.45 10.40 -0.5823.70 0.57 0.67 0.67 -21.82
0.29 11.85 0.95 -10.91 0.33
4.29 -0.57 -0.66 -0.66 1.30
-0.28 2.15 0.20 0.65 -0.33
0.25 -0.90 -1.05 -1.05 -1.15
1.18 12.12 -4.49 -7.63 4.13
-5.44
-0.27-0.33
0.40
0.33
1.90
-0.58
-6.90
0.00
0.26
1.00
0.26 0.22 0.26 0.26 0.291.00 1.00 1.00 1.00 1.00
-74.97 74.97 0.00 -48.35 48.35
-124.41 -5.92 -6.90 -6.90 115.48
-2.96 -62.20 -2.29 57.74 -3.45
8.92 1.63 1.90 1.90 -14.72
0.81 4.46 1.01 -7.36 0.95
-4.39 0.35 0.40 0.40 6.24
0.17 -2.20 0.44 3.12 0.20
-2.57 -0.23 -0.27 -0.27 -0.31
-199.39 10.86 -5.71 0.29 152.74
-4.59
-0.60
0.20
0.88
0.95
2.01
8/18/2019 7-Span MDM for frames
31/108
-3.45
-4.58
0.00
0.26
1.00
0.26 0.22 0.26 0.26 0.29
1.00 1.00 1.00 1.00 1.00-69.25 69.25 0.00 -51.59 51.59
-125.90 -3.93 -4.58 -4.58 124.07
-1.96 -62.95 -3.40 62.03 -2.29
19.97 1.73 2.01 2.01 -26.70
0.86 9.98 -0.96 -13.35 1.01
1.23 0.75 0.88 0.88 2.75
0.38 0.61 0.12 1.38 0.44
-0.22 -0.51 -0.60 -0.60 -1.53
-174.90 14.94 -6.53 -3.81 149.33
8/18/2019 7-Span MDM for frames
32/108
8/18/2019 7-Span MDM for frames
33/108
1.18 12.12 -7.63 4.13
8.68 7.43
3.50 3.0011.39 18.99 12.31 9.98
11.39 12.31
18.99 9.98
1.31 1.66
8.65 2.57
1.18 -12.12 -7.63 -4.13
-57.64 3.31 -4.49
-5.44 3.31 106.83
-199.39 10.86 0.29 152.74
73.44 64.46
3.50 3.00
182.39 74.65 45.68 147.70
182.39 45.68
74.65 147.70
2.48 0.71
27.08 16.47
8/18/2019 7-Span MDM for frames
34/108
-199.39 -10.86 0.29 -152.74
-203.94 3.43 -5.71
-4.59 3.43 152.09
8/18/2019 7-Span MDM for frames
35/108
-174.90 14.94 -3.81 149.33
67.84 68.78
3.50 3.00
164.43 73.01 54.66 151.68
164.43 54.66
73.01 151.68
2.42 0.79
24.36 17.91
-174.90 -14.94 -3.81 -149.33
-172.12 5.49 -6.53
-9.94 5.49 153.30
-159.29 18.85 -2.09 143.75
67.84 59.66
3.50 3.00
158.84 78.60 42.27 136.71
158.84 42.27
78.60 136.71
2.34 0.71
26.68 12.89
8/18/2019 7-Span MDM for frames
36/108
-159.29 -18.85 -2.09 -143.75
-75.60 2.50 -6.82
-3.18 2.50 38.81
8/18/2019 7-Span MDM for frames
37/108
8/18/2019 7-Span MDM for frames
38/108
D$to 5.573 D$t 56.756 D%D 25.813
D%ns -34.665 D%s+ -308.953 D%+C -145.729
D%sn 34.665 D%+s 308.953 D%C+ 145.729
D%mr -37.905 D%r -341.908 D%B -160.729
D%rm 37.905 D%r 341.908 D%B 160.729
D*/ -31.065 D$/ -272.336 D$ -145.729
D$/l 31.065 D$/ 272.336 D$ 145.729
8/18/2019 7-Span MDM for frames
39/108
0.41 0.19 0.22 0.49 0.29
1.00 1.00 1.00 1.00 1.00
0.00 -56.76 56.76 0.00 -25.81
20.79 9.60 -6.93 -15.01 -9.01
39.62 -3.46 4.80 -26.66 0.00-14.45 -6.67 4.89 10.60 6.36
-5.72 2.45 -3.34 3.07 0.92
1.27 0.59 -0.15 -0.32 -0.19
1.97 -0.07 0.29 -1.57 -1.17
-0.59 -0.27 0.55 1.18 0.71
42.88 -54.61 56.88 -28.69 -28.18
75.23 -52.33
-0.31 0.340.63 -0.16
3.93 -3.14
-7.23 5.30
-11.44 6.14
10.40 -7.50
79.24 -53.31
0.00 0.00
0.29 0.33
1.00 1.00
0.29 0.13 0.15 0.33 0.201.00 1.00 1.00 1.00 1.00
0.00 -308.95 308.95 0.00 -145.73
79.24 36.57 -24.61 -53.31 -31.99
43.91 -12.30 18.29 -29.59 0.00
-11.44 -5.28 2.84 6.14 3.69
-9.00 1.42 -2.64 4.72 2.22
3.93 1.81 -1.45 -3.14 -1.88
1.05 -0.72 0.91 -0.59 -1.20
-0.31 -0.14 0.16 0.34 0.20
107.40 -287.60 302.44 -75.43 -174.69
106.85 -75.04
-0.95 1.03
1.97 -1.57
2.11 -1.18
-5.72 3.07
-17.99 9.44
8/18/2019 7-Span MDM for frames
40/108
39.62 -26.66
87.82 -59.18
0.00 0.00
0.29 0.33
1.00 1.00
0.29 0.13 0.15 0.33 0.20
1.00 1.00 1.00 1.00 1.000.00 -341.91 341.91 0.00 -160.73
87.82 40.53 -27.31 -59.18 -35.51
37.56 -13.66 20.27 -22.52 0.00
-17.99 -8.30 4.36 9.44 5.66
-4.86 2.18 -4.15 2.18 2.50
2.11 0.97 -0.54 -1.18 -0.71
1.37 -0.27 0.49 -0.83 -1.24
-0.95 -0.44 0.48 1.03 0.62
105.05 -320.89 335.49 -71.06 -189.39
8/18/2019 7-Span MDM for frames
41/108
8/18/2019 7-Span MDM for frames
42/108
-54.61 56.88 -28.69 -28.18
16.12
6.5052.04 52.74 31.64
52.04 31.64
52.74
3.23
29.40
-54.61 -56.88 -28.18
39.37 42.88 27.01 -28.69
39.37 -52.33 27.01
-287.60 302.44 -174.69
87.75
6.50
282.90 287.47 183.00
282.90 183.00
287.47
3.22
168.44
8/18/2019 7-Span MDM for frames
43/108
-287.60 -302.44 -174.69
71.42 107.40 50.15 -75.43
71.42 -75.04 50.15
8/18/2019 7-Span MDM for frames
44/108
-320.89 335.49 -189.39
97.11
6.50
313.36 317.85 200.95
313.36 200.95
317.85
3.23
184.70
-320.89 -335.49 -189.39
69.65 105.05 46.20 -71.06
69.65 -67.54 46.20
-250.75 268.64 -169.54
77.35
6.50
248.64 254.14 181.46
248.64 181.46
254.14
3.21
148.86
8/18/2019 7-Span MDM for frames
45/108
-250.75 -268.64 -169.54
19.13 50.95 11.86 -31.56
19.13 -15.88 11.86
8/18/2019 7-Span MDM for frames
46/108
8 7.43 16.12 12.39
o t
44 64.46 127.27 100.35
n s +
84 68.78 136.63 107.55
m r
84 59.66 115.48 100.35
l /
u
0 3.00 6.50 5.00
D$on 0.350 D%ts 0.406 D$+ 0.485
D$no 0.259 D%st 0.289 D$+ 0.327
D%nm 0.259 D%sr 0.289 D%+ 0.327
D%mn 0.259 D%rs 0.289 D%+ 0.327D%ml 0.259 D%r/ 0.289 D% 0.327
D%lm 0.277 D%/r 0.311 D% 0.356
D* 0.208 D$/ 0.234 D$u 0.267
D$l 0.000 D$/ 0.000 D$u 0.000
D$ot 0.350 D$t 0.188 D%D 0.291
D$to 0.406 D$t 0.224 D%D 0.273
D%ns 0.259 D%s+ 0.133 D%+C 0.196D%sn 0.289 D%+s 0.151 D%C+ 0.188
D%mr 0.259 D%r 0.133 D%B 0.196
D%rm 0.289 D%r 0.151 D%B 0.188
D*/ 0.277 D$/ 0.144 D$ 0.213
D$/l 0.311 D$/ 0.164 D$ 0.203
8/18/2019 7-Span MDM for frames
47/108
D$ot -5.573 D$t -56.756 D%D -25.813
D$to 5.573 D$t 56.756 D%D 25.813
D%ns -48.345 D%s+ -448.096 D%+C -209.063
D%sn 48.345 D%+s 448.096 D%C+ 209.063
D%mr -51.585 D%r -481.051 D%B -224.063
D%rm 51.585 D%r 481.051 D%B 224.063
D*/ -44.745 D$/ -406.586 D$ -209.063D$/l 44.745 D$/ 406.586 D$ 209.063
8/18/2019 7-Span MDM for frames
48/108
0.41 0.19 0.22 0.49 0.29
1.00 1.00 1.00 1.00 1.00
0.00 -56.76 56.76 0.00 -25.81
20.79 9.60 -6.93 -15.01 -9.01
57.74 -3.46 4.80 -39.04 0.00-21.82 -10.07 7.67 16.61 9.97
-7.36 3.83 -5.03 3.73 0.93
1.30 0.60 0.08 0.18 0.11
3.12 0.04 0.30 -2.53 -1.69
-1.15 -0.53 0.88 1.90 1.14
52.62 -56.75 58.52 -34.16 -24.36
106.83 -74.55
-0.31 0.240.65 0.09
6.24 -5.06
-10.91 8.30
-14.72 7.46
10.40 -7.50
115.48 -78.08
0.00 0.00
0.29 0.33
1.00 1.00
0.29 0.13 0.15 0.33 0.201.00 1.00 1.00 1.00 1.00
0.00 -448.10 448.10 0.00 -209.06
115.48 53.30 -36.04 -78.08 -46.85
62.03 -18.02 26.65 -41.97 0.00
-14.72 -6.79 3.44 7.46 4.47
-13.35 1.72 -3.40 7.44 3.15
6.24 2.88 -2.34 -5.06 -3.04
1.38 -1.17 1.44 -0.63 -1.64
-0.31 -0.14 0.11 0.24 0.14
156.75 -416.32 437.97 -110.60 -252.81
152.09 -106.48
-1.53 1.68
3.12 -2.53
2.75 -1.25
-7.36 3.73
-26.70 14.87
8/18/2019 7-Span MDM for frames
49/108
57.74 -39.04
124.07 -83.94
0.00 0.00
0.29 0.33
1.00 1.00
0.29 0.13 0.15 0.33 0.20
1.00 1.00 1.00 1.00 1.000.00 -481.05 481.05 0.00 -224.06
124.07 57.26 -38.74 -83.94 -50.36
56.33 -19.37 28.63 -35.13 0.00
-26.70 -12.32 6.86 14.87 8.92
-6.60 3.43 -6.16 2.84 3.43
2.75 1.27 -0.58 -1.25 -0.75
2.02 -0.29 0.64 -1.39 -1.86
-1.53 -0.71 0.78 1.68 1.01
150.35 -451.77 472.48 -102.32 -263.68
8/18/2019 7-Span MDM for frames
50/108
153.30 -102.26
-0.27 0.26
1.38 -0.63
4.05 -2.79
-13.35 7.44
-13.21 5.6862.03 -41.97
112.67 -70.25
0.00 0.00
0.31 0.36
1.00 1.00
0.23 0.14 0.16 0.27 0.21
1.00 1.00 1.00 1.00 1.00
0.00 -406.59 406.59 0.00 -209.06
84.50 52.00 -32.43 -52.69 -42.15
0.00 -16.21 26.00 0.00 0.00-9.91 -6.10 2.62 4.26 3.41
0.00 1.31 -3.05 0.00 3.45
3.04 1.87 -1.29 -2.09 -1.67
0.00 -0.64 0.93 0.00 -1.04
-0.20 -0.12 0.12 0.19 0.16
77.43 -374.48 399.50 -50.33 -246.91
38.81 -25.26
0.00 0.001.52 -1.05
0.00 0.00
-4.95 2.13
0.00 0.00
42.25 -26.35
0.00 0.00
0.00 0.00
0.00 0.00
1.00 1.00
8/18/2019 7-Span MDM for frames
51/108
-56.75 58.52 -34.16 -24.36
16.12
6.5052.12 52.66 30.61
52.12 30.61
52.66
3.23
27.50
-56.75 -58.52 -24.36
53.15 52.62 36.24 -34.16
53.15 -74.55 36.24
-416.32 437.97 -252.81
127.27
6.50
410.30 416.96 263.15
410.30 263.15
416.96
3.22
245.04
8/18/2019 7-Span MDM for frames
52/108
-416.32 -437.97 -252.81
102.95 156.75 72.36 -110.60
102.95 -106.48 72.36
8/18/2019 7-Span MDM for frames
53/108
8/18/2019 7-Span MDM for frames
54/108
-374.48 -399.50 -246.91
29.06 77.43 18.90 -50.33
29.06 -25.26 18.90
8/18/2019 7-Span MDM for frames
55/108
12.39 8.68 0.00
D
69.95 70.95 0.00
C M
77.15 70.95 0.00
B
69.95 70.95 0.00
%
: , ;
5.00 3.00 0.00
D%DC 0.455 D% 0.385 D%M 0.500
D%CD 0.313 D% 0.278 D%M 0.333
D%CB 0.313 D% 0.278 D%M 0.333
D%BC 0.313 D% 0.278 D%M 0.333
D%B 0.313 D%% 0.278 D% 0.333D%B 0.339 D%% 0.299 D% 0.364
D$: 0.254 D$%, 0.224 D; 0.273
D$: 0.000 D$,% 0.000 D$; 0.000
D%D 0.273 D% 0.385
D%D 0.231 D% 0.500
D%C 0.188 D%M 0.278
D%C 0.167 D%M 1.667D%B 0.188 D% 0.278
D%B 0.167 D% 0.333
D$% 0.203 D$% 0.299
D$% 0.179 D$% 0.364
D%D -25.813 D% -6.510
8/18/2019 7-Span MDM for frames
56/108
D%D 25.813 D% 6.510
D%C -145.729 D%M -53.213
D%C 145.729 D%M 53.213
D%B -160.729 D% -53.213
D%B 160.729 D% 53.213
D$% -145.729 D$% -53.213
D$% 145.729 D$% 53.213
8/18/2019 7-Span MDM for frames
57/108
8/18/2019 7-Span MDM for frames
58/108
0.00 -12.85
0.00 -29.87
0.00 0.00
0.31 0.28
1.00 1.00
0.19 0.31 0.19 0.17 0.28
1.00 1.00 1.00 1.00 1.00160.73 0.00 -160.73 160.73 0.00
0.00 0.00 0.00 -17.92 -29.87
-17.75 0.00 -8.96 0.00 -13.81
5.01 8.35 5.01 5.92 9.87
2.83 3.69 2.96 2.50 3.67
-2.47 -4.12 -2.47 -3.42 -5.70
-0.35 -1.30 -1.71 -1.24 -1.68
1.01 1.68 1.01 1.53 2.54
149.00 8.29 -164.90 148.11 -34.97
8/18/2019 7-Span MDM for frames
59/108
8.11 -34.90
1.21 1.59
-2.06 -2.85
-2.61 -3.37
4.17 4.93
7.39 7.350.00 -14.93
0.00 -27.62
0.00 0.00
0.34 0.30
1.00 1.00
0.20 0.25 0.20 0.18 0.22
1.00 1.00 1.00 1.00 1.00
145.73 0.00 -145.73 145.73 0.00
0.00 0.00 0.00 -16.57 -20.71
-13.51 0.00 -8.29 0.00 0.004.43 5.54 4.43 4.41 5.51
1.31 0.00 2.20 2.22 0.00
-1.56 -1.95 -1.56 -2.02 -2.52
-0.50 0.00 -1.01 -0.78 0.00
0.73 0.91 0.73 0.95 1.19
136.62 4.50 -149.22 133.93 -16.54
1.79 -8.86
0.00 0.00-0.98 -1.26
0.00 0.00
2.77 2.75
0.00 0.00
0.00 -10.36
0.00 0.00
0.00 0.00
0.00 0.00
1.00 1.00
8/18/2019 7-Span MDM for frames
60/108
24.87 -27.37 23.09
12.39 12.39
5.00 5.0030.31 31.83 30.12
31.83
30.31 30.12
2.55 2.57
12.21 13.52
-24.87 -27.37 -23.09
2.60 2.50 8.74
5.31 2.60 -13.91 8.74
134.07 -147.21 140.44
69.95 69.95
5.00 5.00
166.75 176.23 173.52
176.23
166.75 173.52
2.62 2.52
64.69 74.78
8/18/2019 7-Span MDM for frames
61/108
-134.07 -147.21 -140.44
5.15 7.83 18.23
7.61 5.15 -31.33 18.23
8/18/2019 7-Span MDM for frames
62/108
149.00 -164.90 148.11
77.15 77.15
5.00 5.00
184.80 196.23 189.52
196.23
184.80 189.52
2.60 2.54
72.32 84.66
-149.00 -164.90 -148.11
5.47 8.29 23.29
8.11 5.47 -34.90 23.29
136.62 -149.22 133.93
69.95 69.95
5.00 5.00
168.29 177.93 171.82
177.93
168.29 171.82
2.59 2.54
65.82 77.08
8/18/2019 7-Span MDM for frames
63/108
-136.62 -149.22 -133.93
1.57 4.50 6.35
1.79 1.57 -8.86 6.35
8/18/2019 7-Span MDM for frames
64/108
12.39 7.43 0.00
D
100.35 115.48 0.00
C M
107.55 115.48 0.00
B
100.35 87.05 0.00
%
: , ;
5.00 3.00 0.00
D%DC 0.455 D% 0.385 D%M 0.500
D%CD 0.313 D% 0.278 D%M 0.333
D%CB 0.313 D% 0.278 D%M 0.333
D%BC 0.313 D% 0.278 D%M 0.333D%B 0.313 D%% 0.278 D% 0.333
D%B 0.339 D%% 0.299 D% 0.364
D$: 0.254 D$%, 0.224 D; 0.273
D$: 0.000 D$,% 0.000 D$; 0.000
D%D 0.273 D% 0.385
D%D 0.231 D% 0.500
D%C 0.188 D%M 0.278D%C 0.167 D%M 1.667
D%B 0.188 D% 0.278
D%B 0.167 D% 0.333
D$% 0.203 D$% 0.299
D$% 0.179 D$% 0.364
8/18/2019 7-Span MDM for frames
65/108
D%D -25.813 D% -5.573
D%D 25.813 D% 5.573
D%C -209.063 D%M -86.610
D%C 209.063 D%M 86.610
D%B -224.063 D% -86.610
D%B 224.063 D% 86.610
D$% -209.063 D$% -65.288D$% 209.063 D$% 65.288
8/18/2019 7-Span MDM for frames
66/108
0.27 0.45 0.27 0.23 0.38
1.00 1.00 1.00 1.00 1.00
25.81 0.00 -25.81 25.81 0.00
0.00 0.00 0.00 -4.67 -7.78
-4.50 0.00 -2.34 0.00 -17.011.86 3.11 1.86 4.25 7.08
4.98 5.25 2.12 0.93 13.22
-3.37 -5.62 -3.37 -4.32 -7.20
0.05 -2.73 -2.16 -1.69 -5.75
1.32 2.20 1.32 2.24 3.73
26.16 2.22 -28.37 22.55 -13.73
7.20 -14.60
3.40 8.44-2.81 -3.60
-5.45 -11.50
1.55 3.54
10.51 26.43
0.00 -3.89
0.00 -34.01
0.00 0.00
0.31 0.28
1.00 1.00
0.19 0.31 0.19 0.17 0.281.00 1.00 1.00 1.00 1.00
209.06 0.00 -209.06 209.06 0.00
0.00 0.00 0.00 -20.41 -34.01
-23.42 0.00 -10.20 0.00 -19.09
6.31 10.51 6.31 15.86 26.43
2.24 5.72 7.93 3.15 7.35
-3.27 -5.45 -3.27 -6.90 -11.50
-1.52 -3.11 -3.45 -1.64 -4.01
2.04 3.40 2.04 5.06 8.44
191.43 11.08 -209.71 204.19 -26.39
10.03 -37.31
2.26 3.73
-2.73 -5.75
-6.21 -8.01
5.25 13.22
11.45 14.69
8/18/2019 7-Span MDM for frames
67/108
0.00 -17.01
0.00 -38.18
0.00 0.00
0.31 0.28
1.00 1.00
0.19 0.31 0.19 0.17 0.28
1.00 1.00 1.00 1.00 1.00224.06 0.00 -224.06 224.06 0.00
0.00 0.00 0.00 -22.91 -38.18
-25.18 0.00 -11.45 0.00 -21.46
6.87 11.45 6.87 8.82 14.69
4.46 5.75 4.41 3.43 4.62
-3.73 -6.21 -3.73 -4.81 -8.01
-0.38 -1.73 -2.40 -1.86 -2.59
1.36 2.26 1.36 2.24 3.73
207.46 11.52 -229.01 208.97 -47.19
8/18/2019 7-Span MDM for frames
68/108
12.53 -52.43
1.86 2.17
-3.11 -4.01
-3.46 -5.17
5.72 7.35
11.51 9.240.00 -19.09
0.00 -42.92
0.00 0.00
0.34 0.30
1.00 1.00
0.20 0.25 0.20 0.18 0.22
1.00 1.00 1.00 1.00 1.00
209.06 0.00 -209.06 209.06 0.00
0.00 0.00 0.00 -25.75 -32.19
-21.08 0.00 -12.88 0.00 0.006.91 8.63 6.91 5.55 6.93
1.70 0.00 2.77 3.45 0.00
-2.07 -2.59 -2.07 -3.10 -3.88
-0.84 0.00 -1.55 -1.04 0.00
1.12 1.40 1.12 1.30 1.63
194.80 7.44 -214.77 189.47 -27.51
3.02 -14.57
0.00 0.00-1.30 -1.94
0.00 0.00
4.32 3.47
0.00 0.00
0.00 -16.09
0.00 0.00
0.00 0.00
0.00 0.00
1.00 1.00
8/18/2019 7-Span MDM for frames
69/108
8/18/2019 7-Span MDM for frames
70/108
8/18/2019 7-Span MDM for frames
71/108
207.46 -229.01 208.97
07.55 107.55
5.00 5.00
257.63 272.88 264.87
272.88
257.63 264.87
2.60 2.54
01.11 117.18
-207.46 -229.01 -208.97
8.02 11.52 33.21
12.53 8.02 -52.43 33.21
194.80 -214.77 189.47
00.35 100.35
5.00 5.00
240.45 255.93 245.82
255.93
240.45 245.82
2.60 2.55
93.28 111.60
8/18/2019 7-Span MDM for frames
72/108
-194.80 -214.77 -189.47
2.61 7.44 10.52
3.02 2.61 -14.57 10.52
8/18/2019 7-Span MDM for frames
73/108
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8/18/2019 7-Span MDM for frames
74/108
8/18/2019 7-Span MDM for frames
75/108
0.38 0.50 0.50 0.00 0.00 0.00
1.00 1.00 1.00 1.00 1.00 1.00
-6.51 6.51 0.00 0.00 0.00 0.00
-7.42 -3.26 -3.26 0.00 0.00 0.00
-1.63 -3.71 -8.87 0.00 0.00 0.005.57 6.29 6.29 0.00 0.00 0.00
3.15 2.78 3.89 0.00 0.00 0.00
-4.93 -3.34 -3.34 0.00 0.00 0.00
-1.67 -2.46 -2.91 0.00 0.00 0.00
2.66 2.69 2.69 0.00 0.00 0.00
-10.78 5.50 -5.50 0.00 0.00 0.00
-13.29 0.00
2.64 0.00-1.67 0.00
-5.82 0.00
3.15 0.00
7.78 0.00
-1.63 0.00
-17.74 0.00
0.00 0.00
0.33 0.00
1.00 1.00
0.28 1.67 0.33 0.00 0.00 0.001.00 1.00 1.00 1.00 1.00 1.00
-53.21 53.21 0.00 0.00 0.00 0.00
-25.70 -88.69 -17.74 0.00 0.00 0.00
-44.34 -12.85 -8.87 0.00 0.00 0.00
17.50 38.91 7.78 0.00 0.00 0.00
19.45 8.75 5.58 0.00 0.00 0.00
-8.17 -29.12 -5.82 0.00 0.00 0.00
-14.56 -4.08 -2.16 0.00 0.00 0.00
5.85 13.18 2.64 0.00 0.00 0.00
-103.18 -20.69 -18.59 0.00 0.00 0.00
-16.30 0.00
2.48 0.00
-2.91 0.00
-4.32 0.00
3.89 0.00
11.16 0.00
8/18/2019 7-Span MDM for frames
76/108
-8.87 0.00
-17.74 0.00
0.00 0.00
0.33 0.00
1.00 1.00
0.28 0.33 0.33 0.00 0.00 0.00
1.00 1.00 1.00 1.00 1.00 1.00-53.21 53.21 0.00 0.00 0.00 0.00
-29.87 -17.74 -17.74 0.00 0.00 0.00
-8.87 -14.93 -9.68 0.00 0.00 0.00
9.87 11.16 11.16 0.00 0.00 0.00
5.58 4.93 4.12 0.00 0.00 0.00
-5.70 -4.32 -4.32 0.00 0.00 0.00
-2.16 -2.85 -1.68 0.00 0.00 0.00
2.54 2.48 2.48 0.00 0.00 0.00
-81.81 31.95 -15.65 0.00 0.00 0.00
8/18/2019 7-Span MDM for frames
77/108
-18.52 0.00
1.40 0.00
-2.16 0.00
-3.36 0.00
5.58 0.00
8.25 0.00-8.87 0.00
-19.35 0.00
0.00 0.00
0.36 0.00
1.00 1.00
0.30 0.36 0.27 0.00 0.00 0.00
1.00 1.00 1.00 1.00 1.00 1.00
-53.21 53.21 0.00 0.00 0.00 0.00
-27.62 -19.35 -14.51 0.00 0.00 0.00
-9.68 -13.81 0.00 0.00 0.00 0.007.35 8.25 6.18 0.00 0.00 0.00
4.12 3.67 0.00 0.00 0.00 0.00
-3.37 -3.36 -2.52 0.00 0.00 0.00
-1.68 -1.68 0.00 0.00 0.00 0.00
1.59 1.40 1.05 0.00 0.00 0.00
-82.50 28.32 -9.80 0.00 0.00 0.00
-5.43 0.00
0.00 0.00-1.26 0.00
0.00 0.00
3.09 0.00
0.00 0.00
-7.26 0.00
0.00 0.00
0.00 0.00
0.00 0.00
1.00 1.00
8/18/2019 7-Span MDM for frames
78/108
-10.78 5.50 0.00 0.00
8.68 0.00
3.00 0.0014.78 11.26 @DA0 @DA0
14.78 @DA0
11.26 @DA0
1.70 @DA0
1.80 @DA0
-10.78 -5.50 0.00 0.00
-12.31 6.27 -5.50 0.00
-13.29 6.27 0.00 0.00
-103.18 -20.69 0.00 0.00
70.95 0.00
3.00 0.00
147.71 65.14 @DA0 @DA0
147.71 @DA0
65.14 @DA0
2.08 @DA0
50.59 @DA0
8/18/2019 7-Span MDM for frames
79/108
8/18/2019 7-Span MDM for frames
80/108
-81.81 31.95 0.00 0.00
70.95 0.00
3.00 0.00
123.04 89.81 @DA0 @DA0
123.04 @DA0
89.81 @DA0
1.73 @DA0
24.88 @DA0
-81.81 -31.95 0.00 0.00
-34.97 11.39 -15.65 0.00
-18.52 11.39 0.00 0.00
-82.50 28.32 0.00 0.00
70.95 0.00
3.00 0.00
124.48 88.37 @DA0 @DA0
124.48 @DA0
88.37 @DA0
1.75 @DA0
26.71 @DA0
8/18/2019 7-Span MDM for frames
81/108
-82.50 -28.32 0.00 0.00
-16.54 3.81 -9.80 0.00
-5.43 3.81 0.00 0.00
8/18/2019 7-Span MDM for frames
82/108
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?
8/18/2019 7-Span MDM for frames
83/108
8/18/2019 7-Span MDM for frames
84/108
0.38 0.50 0.50 0.00 0.00 0.00
1.00 1.00 1.00 1.00 1.00 1.00
-5.57 5.57 0.00 0.00 0.00 0.00
-7.78 -2.79 -2.79 0.00 0.00 0.00
-1.39 -3.89 -14.44 0.00 0.00 0.007.08 9.16 9.16 0.00 0.00 0.00
4.58 3.54 5.47 0.00 0.00 0.00
-7.20 -4.51 -4.51 0.00 0.00 0.00
-2.25 -3.60 -4.23 0.00 0.00 0.00
3.73 3.91 3.91 0.00 0.00 0.00
-8.82 7.40 -7.40 0.00 0.00 0.00
-21.70 0.00
3.74 0.00-2.25 0.00
-8.45 0.00
4.58 0.00
10.95 0.00
-1.39 0.00
-28.87 0.00
0.00 0.00
0.33 0.00
1.00 1.00
0.28 1.67 0.33 0.00 0.00 0.001.00 1.00 1.00 1.00 1.00 1.00
-86.61 86.61 0.00 0.00 0.00 0.00
-34.01 -144.35 -28.87 0.00 0.00 0.00
-72.18 -17.01 -14.44 0.00 0.00 0.00
26.43 54.73 10.95 0.00 0.00 0.00
27.36 13.22 7.57 0.00 0.00 0.00
-11.50 -42.27 -8.45 0.00 0.00 0.00
-21.14 -5.75 -3.22 0.00 0.00 0.00
8.44 18.71 3.74 0.00 0.00 0.00
-163.20 -36.12 -32.73 0.00 0.00 0.00
-29.89 0.00
3.48 0.00
-4.23 0.00
-6.45 0.00
5.47 0.00
15.13 0.00
8/18/2019 7-Span MDM for frames
85/108
-14.44 0.00
-28.87 0.00
0.00 0.00
0.33 0.00
1.00 1.00
0.28 0.33 0.33 0.00 0.00 0.00
1.00 1.00 1.00 1.00 1.00 1.00-86.61 86.61 0.00 0.00 0.00 0.00
-38.18 -28.87 -28.87 0.00 0.00 0.00
-14.44 -19.09 -11.87 0.00 0.00 0.00
14.69 15.13 15.13 0.00 0.00 0.00
7.57 7.35 6.53 0.00 0.00 0.00
-8.01 -6.45 -6.45 0.00 0.00 0.00
-3.22 -4.01 -2.22 0.00 0.00 0.00
3.73 3.48 3.48 0.00 0.00 0.00
-124.47 54.16 -24.26 0.00 0.00 0.00
8/18/2019 7-Span MDM for frames
86/108
-23.10 0.00
2.11 0.00
-3.22 0.00
-4.43 0.00
7.57 0.00
13.05 0.00-14.44 0.00
-23.74 0.00
0.00 0.00
0.36 0.00
1.00 1.00
0.30 0.36 0.27 0.00 0.00 0.00
1.00 1.00 1.00 1.00 1.00 1.00
-65.29 65.29 0.00 0.00 0.00 0.00
-42.92 -23.74 -17.81 0.00 0.00 0.00
-11.87 -21.46 0.00 0.00 0.00 0.009.24 13.05 9.79 0.00 0.00 0.00
6.53 4.62 0.00 0.00 0.00 0.00
-5.17 -4.43 -3.32 0.00 0.00 0.00
-2.22 -2.59 0.00 0.00 0.00 0.00
2.17 2.11 1.58 0.00 0.00 0.00
-109.53 32.86 -9.76 0.00 0.00 0.00
-5.67 0.00
0.00 0.00-1.66 0.00
0.00 0.00
4.89 0.00
0.00 0.00
-8.90 0.00
0.00 0.00
0.00 0.00
0.00 0.00
1.00 1.00
8/18/2019 7-Span MDM for frames
87/108
-8.82 7.40 0.00 0.00
7.43 0.00
3.00 0.0011.62 10.67 @DA0 @DA0
11.62 @DA0
10.67 @DA0
1.56 @DA0
0.26 @DA0
-8.82 -7.40 0.00 0.00
-13.73 9.70 -7.40 0.00
-21.70 9.70 0.00 0.00
-163.20 -36.12 0.00 0.00
115.48 0.00
3.00 0.00
239.66 106.78 @DA0 @DA0
239.66 @DA0
106.78 @DA0
2.08 @DA0
85.48 @DA0
8/18/2019 7-Span MDM for frames
88/108
-163.20 36.12 0.00 0.00
-26.39 20.87 -32.73 0.00
-29.89 20.87 0.00 0.00
8/18/2019 7-Span MDM for frames
89/108
8/18/2019 7-Span MDM for frames
90/108
-109.53 -32.86 0.00 0.00
-27.51 3.86 -9.76 0.00
-5.67 3.86 0.00 0.00
8/18/2019 7-Span MDM for frames
91/108
8/18/2019 7-Span MDM for frames
92/108
8/18/2019 7-Span MDM for frames
93/108
8/18/2019 7-Span MDM for frames
94/108
8/18/2019 7-Span MDM for frames
95/108
8/18/2019 7-Span MDM for frames
96/108
0.00
8/18/2019 7-Span MDM for frames
97/108
0.00
8/18/2019 7-Span MDM for frames
98/108
0.00
8/18/2019 7-Span MDM for frames
99/108
0.00
8/18/2019 7-Span MDM for frames
100/108
8/18/2019 7-Span MDM for frames
101/108
8/18/2019 7-Span MDM for frames
102/108
8/18/2019 7-Span MDM for frames
103/108
8/18/2019 7-Span MDM for frames
104/108
8/18/2019 7-Span MDM for frames
105/108
8/18/2019 7-Span MDM for frames
106/108
8/18/2019 7-Span MDM for frames
107/108
8/18/2019 7-Span MDM for frames
108/108