MOMENT DISTRIBUTION METHOD – TRANSVERSAL SECTION

MOMENT DISTRIBUTION METHOD FOR ROOF LEVEL

LOADS:

Slab Weight 3.06

Finishing   0.60
Ceiling Weight 1.00
Total   4.66

Weight Beam 2.82

Live Load   4.8

STIFFNESS FACTOR,K:
FOR COLUMN:

    k
Lower Floor
  3.57E-04
FOR BEAMS:

   
  L
size of
beams   0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3
    0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4
                     
2.67E- 3.56E- 2.46E- 2.46E- 5.33E- 2.46E- 2.46E- 3.56E- 2.67E-
  k 04 04 04 04 04 04 04 04 04

VALUES OF UNIFORM DEAD LOAD AND UNIFORM LIVE LOAD:

Lengt Lengt Lengt

6     Length 4.5     6.5     6.5  
h h h
                             
  S 5.96     S 4.46     S 6.46     S 6.46
                             
  WDL 27.6     WDL 21.4     WDL 29.6     WDL 29.6
                             
  WLL 22.6     WLL 16.3     WLL 24.7     WLL 24.7
 Lengt Lengt Lengt
3     Length 6.5     6.5     4.5  
h h h
                             
  S 2.96     S 6.46     S 6.46     S 4.46
                             
  WDL 14.8     WDL 29.6     WDL 29.6     WDL 21.4
                             
  WLL 9.5     WLL 24.7     WLL 24.7     WLL 16.3

Lengt
6  
h
     
  S 5.96
     
  WDL 27.6
     
  WLL 22.6

VALUES OF MOMENT DISTRIBUTION FACTOR:

DF at
Joint          
2 1
DF - 0.57262
28 8 9
2 2
DF - 0.42738
  8 9
           
           
           
DF at
         
Joint
2 2
DF - 0.36476
29 9 0
2 2
DF - 0.27224
  9 8
2 3
DF - 0.36299
  9 0
           
           
DF at
         
Joint
3 2
DF - 0.37257
30 0 1
3 2
DF - 0.37076
  0 9
3 3
DF - 0.25668
  0 1
           
           
DF at          
Joint
3 2
DF - 0.42054
31 1 2
3 3
DF - 0.28973
  1 0
3 3
DF - 0.28973
  1 2

DF at
Joint          
3 2
DF - 0.3143
32 2 3
3 3
DF - 0.21654
  2 1
3 3
DF - 0.46916
  2 3
           
           
DF at
         
Joint
3 2
DF - 0.3143
33 3 4
3 3
DF - 0.46916
  3 2
3 3
DF - 0.21654
  3 4
           
           
DF at
         
Joint
3 2
DF - 0.42054
34 4 5
3 3
DF - 0.28973
  4 3
3 3
DF - 0.28973
  4 5
           
           
DF at
         
Joint
3 2
DF - 0.37257
35 5 6
3 3
DF - 0.25668
  5 4
3 3
DF - 0.37076
  5 6

DF at
Joint          
3 2
DF - 0.36476
36 6 7
  DF 3 - 3 0.36299
 6 5
3
DF - 0 0.27224
  6

CASE I:
FACTORED LOAD IN EACH SPAN:
1 77.06 4 83.43 7 83.43
2 57.67 5 36.87 8 57.67
3 41.44 6 41.44 9 38.64

FIXED END MOMENTS IN EACH SPAN:

1 231.18 4 293.74313 7 293.74313
2 97.318125 5 27.6525 8 97.318125
3 145.90333 6 145.90333 9 115.92

Joint 21 31 22 32
2 3 3 2 3 3 2 3 3 2 3 3 3 3
Member - - - - - - -
1 1 1 1 1 2 2 2 2 2 2 1 2 3
k * 104 3.573 3.573 2.667 3.573 3.573 2.667 3.556
Cycle DF 0.000 0.573 0.427 0.000 0.365 0.272 0.363
FEM 0.000 0.000 231.180 0.000 0.000 -231.180 97.318
1
BJ 0.000 -132.378 -98.802 0.000 48.827 36.443 48.591
CO -66.189 0.000 18.221 24.414 0.000 -49.401 -9.007
2
BJ 0.000 -10.434 -7.787 0.000 21.305 15.901 21.201
CO -5.217 0.000 7.950 10.652 0.000 -3.894 -0.534
3
BJ 0.000 -4.553 -3.398 0.000 1.615 1.205 1.607
CO -2.276 0.000 0.603 0.807 0.000 -1.699 -1.359
4
BJ 0.000 -0.345 -0.258 0.000 1.115 0.832 1.110
TOTAL -73.682 -147.710 147.710 35.874 72.862 -231.792 158.928

23 33 24 34 25
2 3 3 2 3 3 3 3 2 3 3 2 3 3 3 3 2 3
- - - - - - - - -
3 3 3 3 3 2 3 4 4 4 4 4 4 3 4 5 5 5
3.573 3.573 3.556 2.462 3.573 3.573 2.462 2.462 3.573
0.000 0.373 0.371 0.257 0.000 0.421 0.290 0.290 0.000
0.000 0.000 -97.318 145.903 0.000 0.000 -145.903 293.743 0.000
0.000 -18.101 -18.013 -12.471 0.000 -62.173 -42.834 -42.834 0.000
-9.051 0.000 24.295 -21.417 -31.086 0.000 -6.235 28.810 41.816
0.000 -1.072 -1.067 -0.739 0.000 -9.493 -6.540 -6.540 0.000
-0.536 0.000 10.601 -3.270 -4.747 0.000 -0.369 5.322 7.725
0.000 -2.731 -2.718 -1.882 0.000 -2.083 -1.435 -1.435 0.000
-1.366 0.000 0.804 -0.717 -1.041 0.000 -0.941 1.395 2.025
0.000 -0.032 -0.032 -0.022 0.000 -0.191 -0.132 -0.132 0.000
-10.952 -21.937 -83.449 105.385 -36.874 -73.940 -204.390 278.330 51.566

35 26 36 27 37
3 2 3 3 3 3 2 3 3 2 3 3 3 3 2 3 3 2 3 3 3 3
- - - - - - - - - - -
5 5 5 4 5 6 6 6 6 6 6 5 6 7 7 7 7 7 7 6 7 8
 3.573 2.462 5.333 3.573 3.573 5.333 2.462 3.573 3.573 2.462 2.462
0.314 0.217 0.469 0.000 0.314 0.469 0.217 0.000 0.421 0.290 0.290
- -
0.000 27.653 0.000 0.000 -27.653 145.903 0.000 0.000 293.743
293.743 145.903
83.632 57.619 124.839 0.000 -37.166 -55.479 -25.606 0.000 -62.173 -42.834 -42.834
0.000 -21.417 -27.739 -18.583 0.000 62.420 -21.417 -31.086 0.000 -12.803 25.209
15.450 10.644 23.062 0.000 -12.887 -19.237 -8.879 0.000 -5.217 -3.594 -3.594
0.000 -3.270 -9.618 -6.444 0.000 11.531 -1.797 -2.609 0.000 -4.439 3.182
4.051 2.791 6.047 0.000 -3.059 -4.567 -2.108 0.000 0.529 0.364 0.364
0.000 -0.717 -2.283 -1.530 0.000 3.023 0.182 0.264 0.000 -1.054 1.656
0.943 0.650 1.408 0.000 -1.008 -1.504 -0.694 0.000 -0.253 -0.174 -0.174
- -
104.076 143.367 -26.556 -54.120 -31.465 85.585 -33.431 -67.114 277.552
247.443 210.438

28 38 29 39 30 40
2 2 3 2 3 3 3 3 2 3 3 2 3 3 3 4 3 4 4 3 4 3
- - - - - - - - - - -
8 8 8 8 8 7 8 9 9 9 9 9 9 8 9 0 0 0 0 0 0 9
3.573 3.573 2.462 3.556 3.573 3.573 3.556 2.667 3.573 3.573 2.667
0.000 0.373 0.257 0.371 0.000 0.365 0.363 0.272 0.000 0.573 0.427
- -
0.000 0.000 97.318 0.000 0.000 -97.318 115.920 0.000 0.000
293.743 115.920
0.000 73.182 50.418 72.827 0.000 -6.785 -6.752 -5.064 0.000 66.378 49.542
36.591 0.000 -21.417 -3.376 -3.393 0.000 36.413 24.771 33.189 0.000 -2.532
0.000 9.237 6.364 9.192 0.000 -22.318 -22.209 -16.657 0.000 1.450 1.082
4.619 0.000 -1.797 -11.105 -11.159 0.000 4.596 0.541 0.725 0.000 -8.328
0.000 4.807 3.312 4.783 0.000 -1.874 -1.865 -1.399 0.000 4.769 3.559
2.403 0.000 0.182 -0.932 -0.937 0.000 2.392 1.780 2.385 0.000 -0.699
0.000 0.280 0.193 0.278 0.000 -1.522 -1.514 -1.136 0.000 0.400 0.299
-
43.613 87.506 168.985 -15.488 -32.498 -86.257 118.757 36.299 72.997 -72.997
256.489

CASE II:
FACTORED LOAD IN EACH SPAN:
1 38.64 4 41.44 7 41.44
2 57.67 5 36.87 8 57.67
3 83.43 6 83.43 9 77.06
FIXED END MOMENTS IN EACH SPAN:
1 115.92 4 145.90333 7 145.90333
2 97.318125 5 27.6525 8 97.318125
3 293.74313 6 293.74313 9 231.18

Joint 21 31 22 32
2 3 3 2 3 3 2 3 3 2 3 3 3 3
Member - - - - - - -
1 1 1 1 1 2 2 2 2 2 2 1 2 3
k * 104 3.573 3.573 2.667 3.573 3.573 2.667 3.556
Cycle DF 0.000 0.573 0.427 0.000 0.365 0.272 0.363
FEM 0.000 0.000 115.920 0.000 0.000 -115.920 97.318
1
BJ 0.000 -66.378 -49.542 0.000 6.785 5.064 6.752
CO -33.189 0.000 2.532 3.393 0.000 -24.771 -36.413
2
BJ 0.000 -1.450 -1.082 0.000 22.318 16.657 22.209
CO -0.725 0.000 8.328 11.159 0.000 -0.541 -4.596
3
BJ 0.000 -4.769 -3.559 0.000 1.874 1.399 1.865
CO -2.385 0.000 0.699 0.937 0.000 -1.780 -2.392
4
BJ 0.000 -0.400 -0.299 0.000 1.522 1.136 1.514
TOTAL -36.299 -72.997 72.997 15.488 32.498 -118.757 86.257
 23 33 24 34 25
2 3 3 2 3 3 3 3 2 3 3 2 3 3 3 3 2 3
- - - - - - - - -
3 3 3 3 3 2 3 4 4 4 4 4 4 3 4 5 5 5
3.573 3.573 3.556 2.462 3.573 3.573 2.462 2.462 3.573
0.000 0.373 0.371 0.257 0.000 0.421 0.290 0.290 0.000
0.000 0.000 -97.318 293.743 0.000 0.000 -293.743 145.903 0.000
0.000 -73.182 -72.827 -50.418 0.000 62.173 42.834 42.834 0.000
-36.591 0.000 3.376 21.417 31.086 0.000 -25.209 12.803 18.583
0.000 -9.237 -9.192 -6.364 0.000 5.217 3.594 3.594 0.000
-4.619 0.000 11.105 1.797 2.609 0.000 -3.182 4.439 6.444
0.000 -4.807 -4.783 -3.312 0.000 -0.529 -0.364 -0.364 0.000
-2.403 0.000 0.932 -0.182 -0.264 0.000 -1.656 1.054 1.530
0.000 -0.280 -0.278 -0.193 0.000 0.253 0.174 0.174 0.000
-43.613 -87.506 -168.985 256.489 33.431 67.114 -277.552 210.438 26.556

35 26 36 27
3 2 3 3 3 3 2 3 3 2 3 3 3 3 2 3
- - - - - - - -
5 5 5 4 5 6 6 6 6 6 6 5 6 7 7 7
3.573 2.462 5.333 3.573 3.573 5.333 2.462 3.573
0.314 0.217 0.469 0.000 0.314 0.469 0.217 0.000
0.000 -145.903 27.653 0.000 0.000 -27.653 293.743 0.000
37.166 25.606 55.479 0.000 -83.632 -124.839 -57.619 0.000
0.000 21.417 -62.420 -41.816 0.000 27.739 21.417 31.086
12.887 8.879 19.237 0.000 -15.450 -23.062 -10.644 0.000
0.000 1.797 -11.531 -7.725 0.000 9.618 3.270 4.747
3.059 2.108 4.567 0.000 -4.051 -6.047 -2.791 0.000
0.000 -0.182 -3.023 -2.025 0.000 2.283 0.717 1.041
1.008 0.694 1.504 0.000 -0.943 -1.408 -0.650 0.000
54.120 -85.585 31.465 -51.566 -104.076 -143.367 247.443 36.874

37 28 38 29
3 2 3 3 3 3 2 2 3 2 3 3 3 3 2 3
- - - - - - - -
7 7 7 6 7 8 8 8 8 8 8 7 8 9 9 9
3.573 2.462 2.462 3.573 3.573 2.462 3.556 3.573
0.421 0.290 0.290 0.000 0.373 0.257 0.371 0.000
0.000 -293.743 145.903 0.000 0.000 -145.903 97.318 0.000
62.173 42.834 42.834 0.000 18.101 12.471 18.013 0.000
0.000 -28.810 6.235 9.051 0.000 21.417 -24.295 -24.414
9.493 6.540 6.540 0.000 1.072 0.739 1.067 0.000
0.000 -5.322 0.369 0.536 0.000 3.270 -10.601 -10.652
2.083 1.435 1.435 0.000 2.731 1.882 2.718 0.000
0.000 -1.395 0.941 1.366 0.000 0.717 -0.804 -0.807
0.191 0.132 0.132 0.000 0.032 0.022 0.032 0.000
73.940 -278.330 204.390 10.952 21.937 -105.385 83.449 -35.874

39 30 40
39 - 29 39 - 38 39 - 40 30 - 40 40 - 30 40 - 39
3.573 3.556 2.667 3.573 3.573 2.667
0.365 0.363 0.272 0.000 0.573 0.427
0.000 -97.318 231.180 0.000 0.000 -231.180
-48.827 -48.591 -36.443 0.000 132.378 98.802
0.000 9.007 49.401 66.189 0.000 -18.221
-21.305 -21.201 -15.901 0.000 10.434 7.787
0.000 0.534 3.894 5.217 0.000 -7.950
-1.615 -1.607 -1.205 0.000 4.553 3.398
0.000 1.359 1.699 2.276 0.000 -0.603
-1.115 -1.110 -0.832 0.000 0.345 0.258
-72.862 -158.928 231.792 73.682 147.710 -147.710
CASE III:
FACTORED LOAD IN EACH SPAN:
1 77.06 4 41.44 7 83.43
2 29.96 5 36.87 8 29.96
3 83.43 6 41.44 9 77.06
FIXED END MOMENTS IN EACH SPAN:
1 231.18 4 145.90333 7 293.74313
2 50.5575 5 27.6525 8 50.5575
3 293.74313 6 145.90333 9 231.18

Joint 21 31 22 32
2 3 3 2 3 3 2 3 3 2 3 3 3 3
Member - - - - - - -
1 1 1 1 1 2 2 2 2 2 2 1 2 3
k * 104 3.573 3.573 2.667 3.573 3.573 2.667 3.556
Cycle DF 0.000 0.573 0.427 0.000 0.365 0.272 0.363
FEM 0.000 0.000 231.180 0.000 0.000 -231.180 50.558
1
BJ 0.000 -132.378 -98.802 0.000 65.884 49.173 65.564
CO -66.189 0.000 24.586 32.942 0.000 -49.401 -45.082
2
BJ 0.000 -14.079 -10.508 0.000 34.463 25.722 34.296
CO -7.039 0.000 12.861 17.232 0.000 -5.254 -10.047
3
BJ 0.000 -7.364 -5.497 0.000 5.581 4.166 5.554
CO -3.682 0.000 2.083 2.791 0.000 -2.748 -3.673
4
BJ 0.000 -1.193 -0.890 0.000 2.342 1.748 2.331
TOTAL -76.911 -155.014 155.014 52.964 108.271 -207.775 99.501

23 33 24 34 25
2 3 3 2 3 3 3 3 2 3 3 2 3 3 3 3 2 3
- - - - - - - - -
3 3 3 3 3 2 3 4 4 4 4 4 4 3 4 5 5 5
 3.573 3.573 3.556 2.462 3.573 3.573 2.462 2.462 3.573
0.000 0.373 0.371 0.257 0.000 0.421 0.290 0.290 0.000
0.000 0.000 -50.558 293.743 0.000 0.000 -293.743 145.903 0.000
0.000 -90.604 -90.164 -62.421 0.000 62.173 42.834 42.834 0.000
-45.302 0.000 32.782 21.417 31.086 0.000 -31.210 12.803 18.583
0.000 -20.193 -20.095 -13.912 0.000 7.741 5.333 5.333 0.000
-10.096 0.000 17.148 2.667 3.871 0.000 -6.956 0.685 0.994
0.000 -7.382 -7.347 -5.086 0.000 2.637 1.817 1.817 0.000
-3.691 0.000 2.777 0.908 1.319 0.000 -2.543 -0.128 -0.186
0.000 -1.373 -1.366 -0.946 0.000 1.123 0.774 0.774 0.000
-59.089 -119.552 -116.821 236.370 36.275 73.674 -283.695 210.020 19.391

35 26 36 27
3 2 3 3 3 3 2 3 3 2 3 3 3 3 2 3
- - - - - - - -
5 5 5 4 5 6 6 6 6 6 6 5 6 7 7 7
3.573 2.462 5.333 3.573 3.573 5.333 2.462 3.573
0.314 0.217 0.469 0.000 0.314 0.469 0.217 0.000
0.000 -145.903 27.653 0.000 0.000 -27.653 145.903 0.000
37.166 25.606 55.479 0.000 -37.166 -55.479 -25.606 0.000
0.000 21.417 -27.739 -18.583 0.000 27.739 -21.417 -31.086
1.987 1.369 2.966 0.000 -1.987 -2.966 -1.369 0.000
0.000 2.667 -1.483 -0.994 0.000 1.483 -2.667 -3.871
-0.372 -0.256 -0.555 0.000 0.372 0.555 0.256 0.000
0.000 0.908 0.278 0.186 0.000 -0.278 -0.908 -1.319
-0.373 -0.257 -0.556 0.000 0.373 0.556 0.257 0.000
38.409 -94.449 56.041 -19.391 -38.409 -56.041 94.449 -36.275

37 28 38
3 2 3 3 3 3 2 2 3 2 3 3 3 3
- - - - - - -
7 7 7 6 7 8 8 8 8 8 8 7 8 9
3.573 2.462 2.462 3.573 3.573 2.462 3.556
0.421 0.290 0.290 0.000 0.373 0.257 0.371
0.000 -145.903 293.743 0.000 0.000 -293.743 50.558
-62.173 -42.834 -42.834 0.000 90.604 62.421 90.164
0.000 -12.803 31.210 45.302 0.000 -21.417 -32.782
-7.741 -5.333 -5.333 0.000 20.193 13.912 20.095
0.000 -0.685 6.956 10.096 0.000 -2.667 -17.148
-2.637 -1.817 -1.817 0.000 7.382 5.086 7.347
0.000 0.128 2.543 3.691 0.000 -0.908 -2.777
-1.123 -0.774 -0.774 0.000 1.373 0.946 1.366
-73.674 -210.020 283.695 59.089 119.552 -236.370 116.821

29 39 30 40
29 - 39 39 - 29 39 - 38 39 - 40 30 - 40 40 - 30 40 - 39
3.573 3.573 3.556 2.667 3.573 3.573 2.667
0.000 0.365 0.363 0.272 0.000 0.573 0.427
0.000 0.000 -50.558 231.180 0.000 0.000 -231.180
0.000 -65.884 -65.564 -49.173 0.000 132.378 98.802
-32.942 0.000 45.082 49.401 66.189 0.000 -24.586
0.000 -34.463 -34.296 -25.722 0.000 14.079 10.508
-17.232 0.000 10.047 5.254 7.039 0.000 -12.861
0.000 -5.581 -5.554 -4.166 0.000 7.364 5.497
-2.791 0.000 3.673 2.748 3.682 0.000 -2.083
0.000 -2.342 -2.331 -1.748 0.000 1.193 0.890
-52.964 -108.271 -99.501 207.775 76.911 155.014 -155.014

CASE IV:
FACTORED LOAD IN EACH SPAN:
1 38.64 4 83.43 7 41.44
2 57.67 5 20.72 8 57.67
3 41.44 6 83.43 9 38.64
FIXED END MOMENTS IN EACH SPAN:
1 115.92 4 293.74313 7 145.90333
2 97.318125 5 15.54 8 97.318125
3 145.90333 6 293.74313 9 115.92

Joint 21 31 22 32
2 3 3 2 3 3 2 3 3 2 3 3 3 3
Member - - - - - - -
1 1 1 1 1 2 2 2 2 2 2 1 2 3
k * 104 3.573 3.573 2.667 3.573 3.573 2.667 3.556
Cycle DF 0.000 0.573 0.427 0.000 0.365 0.272 0.363
FEM 0.000 0.000 115.920 0.000 0.000 -115.920 97.318
1
BJ 0.000 -66.378 -49.542 0.000 6.785 5.064 6.752
CO -33.189 0.000 2.532 3.393 0.000 -24.771 -9.007
2
BJ 0.000 -1.450 -1.082 0.000 12.321 9.196 12.261
CO -0.725 0.000 4.598 6.160 0.000 -0.541 3.344
3
BJ 0.000 -2.633 -1.965 0.000 -1.023 -0.763 -1.018
CO -1.316 0.000 -0.382 -0.511 0.000 -0.983 -0.495
4
BJ 0.000 0.219 0.163 0.000 0.539 0.402 0.536
TOTAL -35.230 -70.242 70.242 9.042 18.622 -128.316 109.693

23 33 24 34
2 3 3 2 3 3 3 3 2 3 3 2 3 3 3 3
- - - - - - - -
3 3 3 3 3 2 3 4 4 4 4 4 4 3 4 5
3.573 3.573 3.556 2.462 3.573 3.573 2.462 2.462
0.000 0.373 0.371 0.257 0.000 0.421 0.290 0.290
0.000 0.000 -97.318 145.903 0.000 0.000 -145.903 293.743
0.000 -18.101 -18.013 -12.471 0.000 -62.173 -42.834 -42.834
-9.051 0.000 3.376 -21.417 -31.086 0.000 -6.235 30.121
0.000 6.721 6.689 4.631 0.000 -10.045 -6.920 -6.920
3.361 0.000 6.130 -3.460 -5.022 0.000 2.315 9.385
0.000 -0.995 -0.990 -0.685 0.000 -4.920 -3.390 -3.390
-0.497 0.000 -0.509 -1.695 -2.460 0.000 -0.343 2.576
0.000 0.821 0.817 0.566 0.000 -0.939 -0.647 -0.647
-6.187 -11.554 -99.818 111.371 -38.569 -78.077 -203.957 282.034

25 35 26 36
2 3 3 2 3 3 3 3 2 3 3 2 3 3 3 3
- - - - - - - -
5 5 5 5 5 4 5 6 6 6 6 6 6 5 6 7
3.573 3.573 2.462 5.333 3.573 3.573 5.333 2.462
0.000 0.314 0.217 0.469 0.000 0.314 0.469 0.217
0.000 0.000 -293.743 15.540 0.000 0.000 -15.540 293.743
0.000 87.439 60.242 130.522 0.000 -87.439 -130.522 -60.242
43.720 0.000 -21.417 -65.261 -43.720 0.000 65.261 21.417
0.000 27.243 18.769 40.666 0.000 -27.243 -40.666 -18.769
13.621 0.000 -3.460 -20.333 -13.621 0.000 20.333 3.460
0.000 7.478 5.152 11.163 0.000 -7.478 -11.163 -5.152
3.739 0.000 -1.695 -5.581 -3.739 0.000 5.581 1.695
0.000 2.287 1.576 3.414 0.000 -2.287 -3.414 -1.576
61.080 124.447 -234.576 110.129 -61.080 -124.447 -110.129 234.576

27 37 28 38
2 3 3 2 3 3 3 3 2 2 3 2 3 3 3 3
- - - - - - - -
7 7 7 7 7 6 7 8 8 8 8 8 8 7 8 9
3.573 3.573 2.462 2.462 3.573 3.573 2.462 3.556
0.000 0.421 0.290 0.290 0.000 0.373 0.257 0.371
0.000 0.000 -293.743 145.903 0.000 0.000 -145.903 97.318
0.000 62.173 42.834 42.834 0.000 18.101 12.471 18.013
31.086 0.000 -30.121 6.235 9.051 0.000 21.417 -3.376
0.000 10.045 6.920 6.920 0.000 -6.721 -4.631 -6.689
5.022 0.000 -9.385 -2.315 -3.361 0.000 3.460 -6.130
0.000 4.920 3.390 3.390 0.000 0.995 0.685 0.990
2.460 0.000 -2.576 0.343 0.497 0.000 1.695 0.509
0.000 0.939 0.647 0.647 0.000 -0.821 -0.566 -0.817
38.569 78.077 -282.034 203.957 6.187 11.554 -111.371 99.818

29 39 30 40
29 - 39 39 - 29 39 - 38 39 - 40 30 - 40 40 - 30 40 - 39
3.573 3.573 3.556 2.667 3.573 3.573 2.667
0.000 0.365 0.363 0.272 0.000 0.573 0.427
0.000 0.000 -97.318 115.920 0.000 0.000 -115.920
0.000 -6.785 -6.752 -5.064 0.000 66.378 49.542
-3.393 0.000 9.007 24.771 33.189 0.000 -2.532
0.000 -12.321 -12.261 -9.196 0.000 1.450 1.082
-6.160 0.000 -3.344 0.541 0.725 0.000 -4.598
0.000 1.023 1.018 0.763 0.000 2.633 1.965
0.511 0.000 0.495 0.983 1.316 0.000 0.382
0.000 -0.539 -0.536 -0.402 0.000 -0.219 -0.163
-9.042 -18.622 -109.693 128.316 35.230 70.242 -70.242

MOMENT DISTRIBUTION METHOD FOR SECOND FLOOR LEVEL

LOADS:
DEAD LOAD

Slab Weight 3.53

Finishing   0.60
Ceiling Weight 1.00
Total   5.13

Weight Beam 4.70

LIVE LOAD

Live Load   4.8

STIFFNESS FACTOR,K:

FOR COLUMN:
     k
Higher Floor
  5.61E-04
Lower Floor 8.54E-04

FOR BEAMS:

    span 1 span 2 span 3 span 4 span 5 span 6 span 7 span 8 span 9

  L 6 4.5 6.5 6.5 3 6.5 6.5 4.5 6
size of
beams   0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4
    0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5
                     
6.94E- 9.26E- 6.41E- 6.41E- 1.39E- 6.41E- 6.41E- 9.26E- 6.94E-
  k 04 04 04 04 03 04 04 04 04

VALUES OF UNIFORM DEAD LOAD AND UNIFORM LIVE LOAD:

Lengt Lengt Lengt Lengt
h 6     h 4.5     h 6.5     h 6.5  
                             
  S 5.9     S 4.4     S 6.4     S 6.4
                             
33. 26. 35. 35.
  WDL 3     WDL 5     WDL 6     WDL 6
                             
22. 24. 24.
  WLL 4     WLL 16     WLL 5     WLL 5

Lengt Lengt Lengt Lengt

h 3     h 6.5     h 6.5     h 4.5  
                             
  S 2.9     S 6.4     S 6.4     S 4.4
                             
19. 35. 35. 26.
  WDL 3     WDL 6     WDL 6     WDL 5
                             
24. 24.
  WLL 9.3     WLL 5     WLL 5     WLL 16

Lengt 6  
h
     
  S 5.9
     
  WDL 33.3
     
  WLL 22.4

VALUES OF MOMENT DISTRIBUTION FACTOR:

DF at
Joint          
1
DF - 1 0.40485
11 1
1
DF - 21 0.26605
  1
1
DF - 12 0.3291
  1
           
           
DF at
         
Joint
1
DF - 2 0.28138
12 2
1
DF - 22 0.18491
  2
1
DF - 11 0.22873
  2
1
DF - 13 0.30498
  2
           
DF at
         
Joint
1
DF - 3 0.28642
13 3
1
DF - 23 0.18822
  3
1
DF - 12 0.31044
  3
1
DF - 14 0.21492
  3
           
DF at
         
Joint
1 6.
DF - 0.31667
14 4 5
1
DF - 24 0.2081
  4
  DF 1 - 13 0.23761
 4
1
DF - 15 0.23761
  4

DF at
Joint          
1
DF - 5 0.24794
15 5
1 2
DF - 0.16293
  5 5
1 1
DF - 0.18604
  5 4
1 1
DF - 0.40309
  5 6
           
DF at
         
Joint
1
DF - 6 0.24794
16 6
1 2
DF - 0.16293
  6 6
1 1
DF - 0.40309
  6 5
1 1
DF - 0.18604
  6 7
           
DF at
         
Joint
1
DF - 7 0.31667
17 7
1 2
DF - 0.2081
  7 7
1 1
DF - 0.23761
  7 6
1 1
DF - 0.23761
  7 8
           
DF at
         
Joint
1
DF - 8 0.28642
18 8
1 2
DF - 0.18822
  8 8
1 1
DF - 0.21492
  8 7
1 1
DF - 0.31044
  8 9

DF at
Joint          
1
DF - 9 0.28138
19 9
1 2
DF - 0.18491
  9 9
 1 1
DF - 0.30498
  9 8
1 2
DF - 0.22873
  9 0
           
DF at
         
Joint
2 1
DF - 0.40485
20 0 0
2 3
DF - 0.26605
  0 0
2 1
DF - 0.3291
  0 9

CASE I:
FACTORED LOAD IN EACH SPAN:
1 68.47 4 42.83 7 75.88
2 58.13 5 90.42 8 58.13
3 42.56 6 27.02 9 39.06
FIXED END MOMENTS IN EACH SPAN:
1 172.60146 4 32.1225 7 227.64
2 98.094375 5 369.215 8 98.094375
3 127.68 6 20.265 9 98.46375

Joint 1 11 21 2
1 1 1 1 2 2 1
Member 1 - 11 - 1 - - - 2 - 12
1 1 2 1 1 1 1
4
k * 10 8.543 8.543 7.576 5.614 5.614 8.543
Cycle DF 0.000 0.393 0.349 0.258 0.000 0.000
FEM 0.000 0.000 172.601 0.000 0.000 0.000
1
BJ 0.000 -67.848 -60.167 -44.586 0.000 0.000
CO -33.924 0.000 9.106 0.000 -22.293 10.269
2
BJ 0.000 -3.580 -3.174 -2.352 0.000 0.000
CO -1.790 0.000 4.228 0.000 -1.176 4.768
3
BJ 0.000 -1.662 -1.474 -1.092 0.000 0.000
CO -0.831 0.000 0.578 0.000 -0.546 0.652
4
BJ 0.000 -0.227 -0.202 -0.149 0.000 0.000
TOTAL -36.545 -73.317 121.497 -48.180 -24.015 15.689

12 22 3 13
1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2
- 2 - - - - 3 - - 3 - - -
2 2 1 2 3 2 2 2 2 3 3 3 2 3 4 3 3
8.543 7.576 9.259 5.614 5.614 8.543 8.543 9.259 6.944 5.614
0.276 0.244 0.299 0.181 0.000 0.000 0.281 0.305 0.229 0.185
0.000 -172.601 98.094 0.000 0.000 0.000 0.000 -98.094 127.680 0.000
20.538 18.213 22.260 13.496 0.000 0.000 -8.325 -9.023 -6.767 -5.471
0.000 -30.084 -4.512 0.000 6.748 -4.162 0.000 11.130 9.483 0.000
9.536 8.456 10.336 6.267 0.000 0.000 -5.800 -6.286 -4.715 -3.811
0.000 -1.587 -3.143 0.000 3.133 -2.900 0.000 5.168 7.169 0.000
1.304 1.156 1.413 0.857 0.000 0.000 -3.471 -3.762 -2.822 -2.281
0.000 -0.737 -1.881 0.000 0.428 -1.736 0.000 0.707 1.238 0.000
 0.722 0.640 0.782 0.474 0.000 0.000 -0.547 -0.593 -0.445 -0.359
32.100 -176.544 123.349 21.094 10.310 -8.798 -18.143 -100.755 130.821 -11.923

23 4 14 24 5
2 1 1 1 1 1 1 1 2 2 1
- 4 - 14 - 4 - - - - 5 - 15
3 3 4 4 3 4 5 4 4 4 4
5.614 8.543 8.543 6.944 13.889 5.614 5.614 8.543
0.000 0.000 0.244 0.198 0.397 0.160 0.000 0.000
0.000 0.000 0.000 -127.680 32.123 0.000 0.000 0.000
0.000 0.000 23.330 18.965 37.930 15.332 0.000 0.000
-2.735 11.665 0.000 -3.384 -68.855 0.000 7.666 -42.352
0.000 0.000 17.637 14.337 28.673 11.591 0.000 0.000
-1.906 8.818 0.000 -2.357 -10.113 0.000 5.795 -6.221
0.000 0.000 3.045 2.475 4.950 2.001 0.000 0.000
-1.141 1.522 0.000 -1.411 -4.192 0.000 1.000 -2.578
0.000 0.000 1.368 1.112 2.224 0.899 0.000 0.000
-5.782 22.006 45.380 -97.942 22.740 29.823 14.462 -51.151

15 25 6 16
1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2
- 5 - - - - 6 - - 6 - - -
5 5 4 5 6 5 5 5 5 6 6 6 5 6 7 6 6
8.543 13.889 5.952 5.614 5.614 8.543 8.543 5.952 13.889 5.614
0.251 0.409 0.175 0.165 0.000 0.000 0.251 0.175 0.409 0.165
0.000 -32.123 369.215 0.000 0.000 0.000 0.000 -369.215 20.265 0.000
-84.705 -137.709 -59.018 -55.664 0.000 0.000 87.684 61.094 142.553 57.622
0.000 18.965 30.547 0.000 -27.832 43.842 0.000 -29.509 -41.157 0.000
-12.441 -20.227 -8.669 -8.176 0.000 0.000 17.757 12.372 28.868 11.669
0.000 14.337 6.186 0.000 -4.088 8.878 0.000 -4.334 -17.086 0.000
-5.157 -8.384 -3.593 -3.389 0.000 0.000 5.383 3.750 8.751 3.537
0.000 2.475 1.875 0.000 -1.694 2.691 0.000 -1.797 -3.333 0.000
-1.093 -1.777 -0.762 -0.718 0.000 0.000 1.289 0.898 2.096 0.847
-
-164.443 335.782 -67.947 -33.614 55.412 112.113 -326.740 140.957 73.675
103.396

26 7 17 27 8
2 1 1 1 1 1 1 1 2 2 1
- 7 - 17 - 7 - - - - 8 - 18
6 6 7 7 6 7 8 7 7 7 7
5.614 8.543 8.543 13.889 6.944 5.614 5.614 8.543
0.000 0.000 0.244 0.397 0.198 0.160 0.000 0.000
0.000 0.000 0.000 -20.265 227.640 0.000 0.000 0.000
0.000 0.000 -50.631 -82.313 -41.158 -33.273 0.000 0.000
28.811 -25.315 0.000 71.277 14.815 0.000 -16.637 18.226
0.000 0.000 -21.019 -34.173 -17.087 -13.813 0.000 0.000
5.835 -10.510 0.000 14.434 2.360 0.000 -6.907 2.903
0.000 0.000 -4.100 -6.666 -3.333 -2.695 0.000 0.000
1.769 -2.050 0.000 4.375 1.608 0.000 -1.347 1.978
0.000 0.000 -1.461 -2.375 -1.187 -0.960 0.000 0.000
36.414 -37.875 -77.211 -55.706 183.658 -50.741 -24.891 23.107

18 28 9 19
1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 1 2
- 8 - - - - 9 - - 9 - - -
8 8 7 8 9 8 8 8 8 9 9 9 8 9 0 9 9
8.543 6.944 9.259 5.614 5.614 8.543 8.543 9.259 7.576 5.614
0.281 0.229 0.305 0.185 0.000 0.000 0.276 0.299 0.244 0.181
0.000 -227.640 98.094 0.000 0.000 0.000 0.000 -98.094 98.464 0.000
36.452 29.631 39.509 23.954 0.000 0.000 -0.102 -0.110 -0.090 -0.067
0.000 -20.579 -0.055 0.000 11.977 -0.051 0.000 19.754 17.162 0.000
5.806 4.720 6.293 3.815 0.000 0.000 -10.176 -11.029 -9.024 -6.687
0.000 -8.543 -5.515 0.000 1.908 -5.088 0.000 3.146 0.008 0.000
 3.956 3.215 4.287 2.599 0.000 0.000 -0.869 -0.942 -0.771 -0.571
0.000 -1.667 -0.471 0.000 1.300 -0.435 0.000 2.144 0.786 0.000
0.602 0.489 0.652 0.395 0.000 0.000 -0.808 -0.875 -0.716 -0.531
46.815 -220.374 142.795 30.764 15.185 -5.574 -11.955 -86.007 105.818 -7.856

29 10 20 30
2
- 19 10 - 20 20 - 10 20 - 19 20 - 30 30 - 20
9
5.614 8.543 8.543 7.576 5.614 5.614
0.000 0.000 0.393 0.349 0.258 0.000
0.000 0.000 0.000 -98.464 0.000 0.000
0.000 0.000 38.705 34.323 25.435 0.000
-0.033 19.353 0.000 -0.045 0.000 12.718
0.000 0.000 0.018 0.016 0.012 0.000
-3.343 0.009 0.000 -4.512 0.000 0.006
0.000 0.000 1.774 1.573 1.166 0.000
-0.286 0.887 0.000 -0.386 0.000 0.583
0.000 0.000 0.152 0.134 0.100 0.000
-3.663 20.248 40.648 -67.360 26.712 13.306

CASE II:
FACTORED LOAD IN EACH SPAN:
1 39.06 4 27.02 7 42.56
2 58.13 5 90.42 8 58.13
3 75.88 6 42.83 9 68.47
FIXED END MOMENTS IN EACH SPAN:
1 98.46375 4 20.265 7 127.68
2 98.094375 5 369.215 8 98.094375
3 227.64 6 32.1225 9 172.60146

Joint 1 11 21 2
1 1 1 1 2 2 1
Member 1 - 11 - 1 - - - 2 - 12
1 1 2 1 1 1 1
k * 104 8.543 8.543 7.576 5.614 5.614 8.543
Cycle DF 0.000 0.393 0.349 0.258 0.000 0.000
FEM 0.000 0.000 98.464 0.000 0.000 0.000
1
BJ 0.000 -38.705 -34.323 -25.435 0.000 0.000
CO -19.353 0.000 0.045 0.000 -12.718 0.051
2
BJ 0.000 -0.018 -0.016 -0.012 0.000 0.000
CO -0.009 0.000 4.512 0.000 -0.006 5.088
3
BJ 0.000 -1.774 -1.573 -1.166 0.000 0.000
CO -0.887 0.000 0.386 0.000 -0.583 0.435
4
BJ 0.000 -0.152 -0.134 -0.100 0.000 0.000
TOTAL -20.248 -40.648 67.360 -26.712 -13.306 5.574

12 22 3 13
1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2
- 2 - - - - 3 - - 3 - - -
2 2 1 2 3 2 2 2 2 3 3 3 2 3 4 3 3
8.543 7.576 9.259 5.614 5.614 8.543 8.543 9.259 6.944 5.614
0.276 0.244 0.299 0.181 0.000 0.000 0.281 0.305 0.229 0.185
0.000 -98.464 98.094 0.000 0.000 0.000 0.000 -98.094 227.640 0.000
0.102 0.090 0.110 0.067 0.000 0.000 -36.452 -39.509 -29.631 -23.954
0.000 -17.162 -19.754 0.000 0.033 -18.226 0.000 0.055 20.579 0.000
10.176 9.024 11.029 6.687 0.000 0.000 -5.806 -6.293 -4.720 -3.815
 0.000 -0.008 -3.146 0.000 3.343 -2.903 0.000 5.515 8.543 0.000
0.869 0.771 0.942 0.571 0.000 0.000 -3.956 -4.287 -3.215 -2.599
0.000 -0.786 -2.144 0.000 0.286 -1.978 0.000 0.471 1.667 0.000
0.808 0.716 0.875 0.531 0.000 0.000 -0.602 -0.652 -0.489 -0.395
11.955 -105.818 86.007 7.856 3.663 -23.107 -46.815 -142.795 220.374 -30.764

23 4 14 24 5
2 1 1 1 1 1 1 1 2 2 1
- 4 - 14 - 4 - - - - 5 - 15
3 3 4 4 3 4 5 4 4 4 4
5.614 8.543 8.543 6.944 13.889 5.614 5.614 8.543
0.000 0.000 0.244 0.198 0.397 0.160 0.000 0.000
0.000 0.000 0.000 -227.640 20.265 0.000 0.000 0.000
0.000 0.000 50.631 41.158 82.313 33.273 0.000 0.000
-11.977 25.315 0.000 -14.815 -71.277 0.000 16.637 -43.842
0.000 0.000 21.019 17.087 34.173 13.813 0.000 0.000
-1.908 10.510 0.000 -2.360 -14.434 0.000 6.907 -8.878
0.000 0.000 4.100 3.333 6.666 2.695 0.000 0.000
-1.300 2.050 0.000 -1.608 -4.375 0.000 1.347 -2.691
0.000 0.000 1.461 1.187 2.375 0.960 0.000 0.000
-15.185 37.875 77.211 -183.658 55.706 50.741 24.891 -55.412

15 25 6 16
1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2
- 5 - - - - 6 - - 6 - - -
5 5 4 5 6 5 5 5 5 6 6 6 5 6 7 6 6
8.543 13.889 5.952 5.614 5.614 8.543 8.543 5.952 13.889 5.614
0.251 0.409 0.175 0.165 0.000 0.000 0.251 0.175 0.409 0.165
0.000 -20.265 369.215 0.000 0.000 0.000 0.000 -369.215 32.123 0.000
-87.684 -142.553 -61.094 -57.622 0.000 0.000 84.705 59.018 137.709 55.664
0.000 41.157 29.509 0.000 -28.811 42.352 0.000 -30.547 -18.965 0.000
-17.757 -28.868 -12.372 -11.669 0.000 0.000 12.441 8.669 20.227 8.176
0.000 17.086 4.334 0.000 -5.835 6.221 0.000 -6.186 -14.337 0.000
-5.383 -8.751 -3.750 -3.537 0.000 0.000 5.157 3.593 8.384 3.389
0.000 3.333 1.797 0.000 -1.769 2.578 0.000 -1.875 -2.475 0.000
-1.289 -2.096 -0.898 -0.847 0.000 0.000 1.093 0.762 1.777 0.718
-
-140.957 326.740 -73.675 -36.414 51.151 103.396 -335.782 164.443 67.947
112.113

26 7 17 27 8
2 1 1 1 1 1 1 1 2 2 1
- 7 - 17 - 7 - - - - 8 - 18
6 6 7 7 6 7 8 7 7 7 7
5.614 8.543 8.543 13.889 6.944 5.614 5.614 8.543
0.000 0.000 0.244 0.397 0.198 0.160 0.000 0.000
0.000 0.000 0.000 -32.123 127.680 0.000 0.000 0.000
0.000 0.000 -23.330 -37.930 -18.965 -15.332 0.000 0.000
27.832 -11.665 0.000 68.855 3.384 0.000 -7.666 4.162
0.000 0.000 -17.637 -28.673 -14.337 -11.591 0.000 0.000
4.088 -8.818 0.000 10.113 2.357 0.000 -5.795 2.900
0.000 0.000 -3.045 -4.950 -2.475 -2.001 0.000 0.000
1.694 -1.522 0.000 4.192 1.411 0.000 -1.000 1.736
0.000 0.000 -1.368 -2.224 -1.112 -0.899 0.000 0.000
33.614 -22.006 -45.380 -22.740 97.942 -29.823 -14.462 8.798

18 28 9 19
1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 1 2
- 8 - - - - 9 - - 9 - - -
8 8 7 8 9 8 8 8 8 9 9 9 8 9 0 9 9
8.543 6.944 9.259 5.614 5.614 8.543 8.543 9.259 7.576 5.614
 0.281 0.229 0.305 0.185 0.000 0.000 0.276 0.299 0.244 0.181
0.000 -127.680 98.094 0.000 0.000 0.000 0.000 -98.094 172.601 0.000
8.325 6.767 9.023 5.471 0.000 0.000 -20.538 -22.260 -18.213 -13.496
0.000 -9.483 -11.130 0.000 2.735 -10.269 0.000 4.512 30.084 0.000
5.800 4.715 6.286 3.811 0.000 0.000 -9.536 -10.336 -8.456 -6.267
0.000 -7.169 -5.168 0.000 1.906 -4.768 0.000 3.143 1.587 0.000
3.471 2.822 3.762 2.281 0.000 0.000 -1.304 -1.413 -1.156 -0.857
0.000 -1.238 -0.707 0.000 1.141 -0.652 0.000 1.881 0.737 0.000
0.547 0.445 0.593 0.359 0.000 0.000 -0.722 -0.782 -0.640 -0.474
18.143 -130.821 100.755 11.923 5.782 -15.689 -32.100 -123.349 176.544 -21.094

29 10 20 30
2
- 19 10 - 20 20 - 10 20 - 19 20 - 30 30 - 20
9
5.614 8.543 8.543 7.576 5.614 5.614
0.000 0.000 0.393 0.349 0.258 0.000
0.000 0.000 0.000 -172.601 0.000 0.000
0.000 0.000 67.848 60.167 44.586 0.000
-6.748 33.924 0.000 -9.106 0.000 22.293
0.000 0.000 3.580 3.174 2.352 0.000
-3.133 1.790 0.000 -4.228 0.000 1.176
0.000 0.000 1.662 1.474 1.092 0.000
-0.428 0.831 0.000 -0.578 0.000 0.546
0.000 0.000 0.227 0.202 0.149 0.000
-10.310 36.545 73.317 -121.497 48.180 24.015

CASE III:
FACTORED LOAD IN EACH SPAN:
1 68.47 4 27.02 7 75.88
2 34.16 5 90.42 8 34.16
3 75.88 6 27.02 9 68.47
FIXED END MOMENTS IN EACH SPAN:
1 172.60146 4 20.265 7 227.64
2 57.645 5 369.215 8 57.645
3 227.64 6 20.265 9 172.60146

Joint 1 11 21 2
1 1 1 1 2 2 1
Member 1 - 11 - 1 - - - 2 - 12
1 1 2 1 1 1 1
k * 104 8.543 8.543 7.576 5.614 5.614 8.543
Cycle DF 0.000 0.393 0.349 0.258 0.000 0.000
FEM 0.000 0.000 172.601 0.000 0.000 0.000
1
BJ 0.000 -67.848 -60.167 -44.586 0.000 0.000
CO -33.924 0.000 14.050 0.000 -22.293 15.844
2
BJ 0.000 -5.523 -4.898 -3.629 0.000 0.000
CO -2.761 0.000 6.845 0.000 -1.815 7.719
3
BJ 0.000 -2.691 -2.386 -1.768 0.000 0.000
CO -1.345 0.000 1.003 0.000 -0.884 1.131
4
BJ 0.000 -0.394 -0.350 -0.259 0.000 0.000
TOTAL -38.031 -76.456 126.699 -50.243 -24.992 24.694

12 22 3 13
1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2
- 2 - - - - 3 - - 3 - - -
2 2 1 2 3 2 2 2 2 3 3 3 2 3 4 3 3
 8.543 7.576 9.259 5.614 5.614 8.543 8.543 9.259 6.944 5.614
0.276 0.244 0.299 0.181 0.000 0.000 0.281 0.305 0.229 0.185
0.000 -172.601 57.645 0.000 0.000 0.000 0.000 -57.645 227.640 0.000
31.688 28.100 34.344 20.823 0.000 0.000 -47.833 -51.845 -38.883 -31.434
0.000 -30.084 -25.923 0.000 10.412 -23.917 0.000 17.172 20.579 0.000
15.438 13.690 16.732 10.145 0.000 0.000 -10.622 -11.513 -8.635 -6.981
0.000 -2.449 -5.757 0.000 5.072 -5.311 0.000 8.366 9.002 0.000
2.262 2.006 2.451 1.486 0.000 0.000 -4.887 -5.297 -3.973 -3.212
0.000 -1.193 -2.649 0.000 0.743 -2.444 0.000 1.226 1.882 0.000
1.059 0.939 1.148 0.696 0.000 0.000 -0.874 -0.948 -0.711 -0.575
50.447 -161.592 77.993 33.150 16.227 -31.671 -64.217 -100.484 206.902 -42.201

23 4 14 24 5
2 1 1 1 1 1 1 1 2 2 1
- 4 - 14 - 4 - - - - 5 - 15
3 3 4 4 3 4 5 4 4 4 4
5.614 8.543 8.543 6.944 13.889 5.614 5.614 8.543
0.000 0.000 0.244 0.198 0.397 0.160 0.000 0.000
0.000 0.000 0.000 -227.640 20.265 0.000 0.000 0.000
0.000 0.000 50.631 41.158 82.313 33.273 0.000 0.000
-15.717 25.315 0.000 -19.441 -71.277 0.000 16.637 -43.842
0.000 0.000 22.149 18.005 36.009 14.556 0.000 0.000
-3.490 11.074 0.000 -4.317 -14.646 0.000 7.278 -9.009
0.000 0.000 4.630 3.764 7.527 3.043 0.000 0.000
-1.606 2.315 0.000 -1.986 -4.960 0.000 1.521 -3.051
0.000 0.000 1.696 1.379 2.757 1.114 0.000 0.000
-20.813 38.705 79.105 -189.080 57.989 51.986 25.436 -55.902

15 25 6 16
1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2
- 5 - - - - 6 - - 6 - - -
5 5 4 5 6 5 5 5 5 6 6 6 5 6 7 6 6
8.543 13.889 5.952 5.614 5.614 8.543 8.543 5.952 13.889 5.614
0.251 0.409 0.175 0.165 0.000 0.000 0.251 0.175 0.409 0.165
0.000 -20.265 369.215 0.000 0.000 0.000 0.000 -369.215 20.265 0.000
-87.684 -142.553 -61.094 -57.622 0.000 0.000 87.684 61.094 142.553 57.622
0.000 41.157 30.547 0.000 -28.811 43.842 0.000 -30.547 -41.157 0.000
-18.018 -29.292 -12.554 -11.840 0.000 0.000 18.018 12.554 29.292 11.840
0.000 18.004 6.277 0.000 -5.920 9.009 0.000 -6.277 -18.004 0.000
-6.101 -9.919 -4.251 -4.010 0.000 0.000 6.101 4.251 9.919 4.010
0.000 3.764 2.126 0.000 -2.005 3.051 0.000 -2.126 -3.764 0.000
-1.480 -2.406 -1.031 -0.972 0.000 0.000 1.480 1.031 2.406 0.972
-
-141.511 329.234 -74.445 -36.736 55.902 113.283 -329.234 141.511 74.445
113.283

26 7 17 27 8
2 1 1 1 1 1 1 1 2 2 1
- 7 - 17 - 7 - - - - 8 - 18
6 6 7 7 6 7 8 7 7 7 7
5.614 8.543 8.543 13.889 6.944 5.614 5.614 8.543
0.000 0.000 0.244 0.397 0.198 0.160 0.000 0.000
0.000 0.000 0.000 -20.265 227.640 0.000 0.000 0.000
0.000 0.000 -50.631 -82.313 -41.158 -33.273 0.000 0.000
28.811 -25.315 0.000 71.277 19.441 0.000 -16.637 23.917
0.000 0.000 -22.149 -36.009 -18.005 -14.556 0.000 0.000
5.920 -11.074 0.000 14.646 4.317 0.000 -7.278 5.311
0.000 0.000 -4.630 -7.527 -3.764 -3.043 0.000 0.000
2.005 -2.315 0.000 4.960 1.986 0.000 -1.521 2.444
0.000 0.000 -1.696 -2.757 -1.379 -1.114 0.000 0.000
36.736 -38.705 -79.105 -57.989 189.080 -51.986 -25.436 31.671
 18 28 9 19
1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 1 2
- 8 - - - - 9 - - 9 - - -
8 8 7 8 9 8 8 8 8 9 9 9 8 9 0 9 9
8.543 6.944 9.259 5.614 5.614 8.543 8.543 9.259 7.576 5.614
0.281 0.229 0.305 0.185 0.000 0.000 0.276 0.299 0.244 0.181
0.000 -227.640 57.645 0.000 0.000 0.000 0.000 -57.645 172.601 0.000
47.833 38.883 51.845 31.434 0.000 0.000 -31.688 -34.344 -28.100 -20.823
0.000 -20.579 -17.172 0.000 15.717 -15.844 0.000 25.923 30.084 0.000
10.622 8.635 11.513 6.981 0.000 0.000 -15.438 -16.732 -13.690 -10.145
0.000 -9.002 -8.366 0.000 3.490 -7.719 0.000 5.757 2.449 0.000
4.887 3.973 5.297 3.212 0.000 0.000 -2.262 -2.451 -2.006 -1.486
0.000 -1.882 -1.226 0.000 1.606 -1.131 0.000 2.649 1.193 0.000
0.874 0.711 0.948 0.575 0.000 0.000 -1.059 -1.148 -0.939 -0.696
64.217 -206.902 100.484 42.201 20.813 -24.694 -50.447 -77.993 161.592 -33.150

29 10 20 30
2
- 19 10 - 20 20 - 10 20 - 19 20 - 30 30 - 20
9
5.614 8.543 8.543 7.576 5.614 5.614
0.000 0.000 0.393 0.349 0.258 0.000
0.000 0.000 0.000 -172.601 0.000 0.000
0.000 0.000 67.848 60.167 44.586 0.000
-10.412 33.924 0.000 -14.050 0.000 22.293
0.000 0.000 5.523 4.898 3.629 0.000
-5.072 2.761 0.000 -6.845 0.000 1.815
0.000 0.000 2.691 2.386 1.768 0.000
-0.743 1.345 0.000 -1.003 0.000 0.884
0.000 0.000 0.394 0.350 0.259 0.000
-16.227 38.031 76.456 -126.699 50.243 24.992

CASE IV:
FACTORED LOAD IN EACH SPAN:
1 39.06 4 42.83 7 42.56
2 58.13 5 49.28 8 58.13
3 42.56 6 42.83 9 39.06
FIXED END MOMENTS IN EACH SPAN:
1 98.46375 4 32.1225 7 127.68
2 98.094375 5 201.22667 8 98.094375
3 127.68 6 32.1225 9 98.46375

Joint 1 11 21 2
1 1 1 1 2 2 1
Member 1 - 11 - 1 - - - 2 - 12
1 1 2 1 1 1 1
4
k * 10 8.543 8.543 7.576 5.614 5.614 8.543
Cycle DF 0.000 0.393 0.349 0.258 0.000 0.000
FEM 0.000 0.000 98.464 0.000 0.000 0.000
1
BJ 0.000 -38.705 -34.323 -25.435 0.000 0.000
CO -19.353 0.000 0.045 0.000 -12.718 0.051
2
BJ 0.000 -0.018 -0.016 -0.012 0.000 0.000
CO -0.009 0.000 2.649 0.000 -0.006 2.987
3
BJ 0.000 -1.041 -0.923 -0.684 0.000 0.000
CO -0.521 0.000 0.179 0.000 -0.342 0.202
4
BJ 0.000 -0.070 -0.062 -0.046 0.000 0.000
TOTAL -19.882 -39.834 66.012 -26.177 -13.066 3.240
 12 22 3 13
1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2
- 2 - - - - 3 - - 3 - - -
2 2 1 2 3 2 2 2 2 3 3 3 2 3 4 3 3
8.543 7.576 9.259 5.614 5.614 8.543 8.543 9.259 6.944 5.614
0.276 0.244 0.299 0.181 0.000 0.000 0.281 0.305 0.229 0.185
0.000 -98.464 98.094 0.000 0.000 0.000 0.000 -98.094 127.680 0.000
0.102 0.090 0.110 0.067 0.000 0.000 -8.325 -9.023 -6.767 -5.471
0.000 -17.162 -4.512 0.000 0.033 -4.162 0.000 0.055 9.483 0.000
5.974 5.298 6.475 3.926 0.000 0.000 -2.684 -2.909 -2.182 -1.764
0.000 -0.008 -1.454 0.000 1.963 -1.342 0.000 3.238 3.763 0.000
0.403 0.357 0.437 0.265 0.000 0.000 -1.970 -2.135 -1.601 -1.295
0.000 -0.462 -1.068 0.000 0.132 -0.985 0.000 0.218 0.793 0.000
0.422 0.374 0.457 0.277 0.000 0.000 -0.285 -0.308 -0.231 -0.187
6.901 -109.976 98.540 4.535 2.129 -6.489 -13.263 -108.959 130.938 -8.716

23 4 14 24 5
2 1 1 1 1 1 1 1 2 2 1
- 4 - 14 - 4 - - - - 5 - 15
3 3 4 4 3 4 5 4 4 4 4
5.614 8.543 8.543 6.944 13.889 5.614 5.614 8.543
0.000 0.000 0.244 0.198 0.397 0.160 0.000 0.000
0.000 0.000 0.000 -127.680 32.123 0.000 0.000 0.000
0.000 0.000 23.330 18.965 37.930 15.332 0.000 0.000
-2.735 11.665 0.000 -3.384 -34.541 0.000 7.666 -21.246
0.000 0.000 9.259 7.527 15.053 6.085 0.000 0.000
-0.882 4.630 0.000 -1.091 -6.897 0.000 3.043 -4.243
0.000 0.000 1.950 1.585 3.171 1.282 0.000 0.000
-0.647 0.975 0.000 -0.801 -2.141 0.000 0.641 -1.317
0.000 0.000 0.718 0.584 1.168 0.472 0.000 0.000
-4.264 17.270 35.258 -104.293 45.864 23.171 11.349 -26.806

15 25 6 16
1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2
- 5 - - - - 6 - - 6 - - -
5 5 4 5 6 5 5 5 5 6 6 6 5 6 7 6 6
8.543 13.889 5.952 5.614 5.614 8.543 8.543 5.952 13.889 5.614
0.251 0.409 0.175 0.165 0.000 0.000 0.251 0.175 0.409 0.165
0.000 -32.123 201.227 0.000 0.000 0.000 0.000 -201.227 32.123 0.000
-42.492 -69.082 -29.607 -27.924 0.000 0.000 42.492 29.607 69.082 27.924
0.000 18.965 14.803 0.000 -13.962 21.246 0.000 -14.803 -18.965 0.000
-8.485 -13.795 -5.912 -5.576 0.000 0.000 8.485 5.912 13.795 5.576
0.000 7.527 2.956 0.000 -2.788 4.243 0.000 -2.956 -7.527 0.000
-2.634 -4.282 -1.835 -1.731 0.000 0.000 2.634 1.835 4.282 1.731
0.000 1.585 0.918 0.000 -0.866 1.317 0.000 -0.918 -1.585 0.000
-0.629 -1.023 -0.438 -0.413 0.000 0.000 0.629 0.438 1.023 0.413
-54.241 -92.228 182.111 -35.645 -17.616 26.806 54.241 -182.111 92.228 35.645

26 7 17 27 8
2 1 1 1 1 1 1 1 2 2 1
- 7 - 17 - 7 - - - - 8 - 18
6 6 7 7 6 7 8 7 7 7 7
5.614 8.543 8.543 13.889 6.944 5.614 5.614 8.543
0.000 0.000 0.244 0.397 0.198 0.160 0.000 0.000
0.000 0.000 0.000 -32.123 127.680 0.000 0.000 0.000
0.000 0.000 -23.330 -37.930 -18.965 -15.332 0.000 0.000
13.962 -11.665 0.000 34.541 3.384 0.000 -7.666 4.162
0.000 0.000 -9.259 -15.053 -7.527 -6.085 0.000 0.000
2.788 -4.630 0.000 6.897 1.091 0.000 -3.043 1.342
0.000 0.000 -1.950 -3.171 -1.585 -1.282 0.000 0.000
0.866 -0.975 0.000 2.141 0.801 0.000 -0.641 0.985
 0.000 0.000 -0.718 -1.168 -0.584 -0.472 0.000 0.000
17.616 -17.270 -35.258 -45.864 104.293 -23.171 -11.349 6.489

18 28 9 19
1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 1 2
- 8 - - - - 9 - - 9 - - -
8 8 7 8 9 8 8 8 8 9 9 9 8 9 0 9 9
8.543 6.944 9.259 5.614 5.614 8.543 8.543 9.259 7.576 5.614
0.281 0.229 0.305 0.185 0.000 0.000 0.276 0.299 0.244 0.181
0.000 -127.680 98.094 0.000 0.000 0.000 0.000 -98.094 98.464 0.000
8.325 6.767 9.023 5.471 0.000 0.000 -0.102 -0.110 -0.090 -0.067
0.000 -9.483 -0.055 0.000 2.735 -0.051 0.000 4.512 17.162 0.000
2.684 2.182 2.909 1.764 0.000 0.000 -5.974 -6.475 -5.298 -3.926
0.000 -3.763 -3.238 0.000 0.882 -2.987 0.000 1.454 0.008 0.000
1.970 1.601 2.135 1.295 0.000 0.000 -0.403 -0.437 -0.357 -0.265
0.000 -0.793 -0.218 0.000 0.647 -0.202 0.000 1.068 0.462 0.000
0.285 0.231 0.308 0.187 0.000 0.000 -0.422 -0.457 -0.374 -0.277
13.263 -130.938 108.959 8.716 4.264 -3.240 -6.901 -98.540 109.976 -4.535

29 10 20 30
2
- 19 10 - 20 20 - 10 20 - 19 20 - 30 30 - 20
9
5.614 8.543 8.543 7.576 5.614 5.614
0.000 0.000 0.393 0.349 0.258 0.000
0.000 0.000 0.000 -98.464 0.000 0.000
0.000 0.000 38.705 34.323 25.435 0.000
-0.033 19.353 0.000 -0.045 0.000 12.718
0.000 0.000 0.018 0.016 0.012 0.000
-1.963 0.009 0.000 -2.649 0.000 0.006
0.000 0.000 1.041 0.923 0.684 0.000
-0.132 0.521 0.000 -0.179 0.000 0.342
0.000 0.000 0.070 0.062 0.046 0.000
-2.129 19.882 39.834 -66.012 26.177 13.066