Factor Method - 2

FACTOR METHOD -TRANSVERSAL

For Columns
k
Third Floor 168750 mmx10^4
Second
168750
Floor mmx10^4
Ground Floor 168750
mmx10^4

For beams
For Second Floor
spa
1 2 3 4 5 6 7
n

k 343030 343030 317259 321337 325521 694444 314386

For Third Floor
spa
1 2 3 4 5 6 7
n

k 343030 343030 317259 321337 325521 694444 314386

For Roof Level
spa
1 2 3 4 5 6 7
n
k 74094 74094 68528 69409 70313 150000 67907
Second floor
Girder factor column factor
Gf 9 - 10 0.496 Cf 1 - 9 1.000
Gf 10 - 9 0.330 Cf 9 - 1 0.504
Gf 10 - 11 0.330 Cf 2 - 10 1.000
Gf 11 - 10 0.338 Cf 10 - 2 0.670
Gf 11 - 12 0.338 Cf 3 - 11 1.000
Gf 12 - 11 0.346 Cf 11 - 3 0.662
Gf 12 - 13 0.346 Cf 4 - 12 1.000
Gf 13 - 12 0.343 Cf 12 - 4 0.654
Gf 13 - 14 0.343 Cf 5 - 13 1.000
Gf 14 - 13 0.249 Cf 13 - 5 0.657
Gf 14 - 15 0.249 Cf 6 - 14 1.000
Gf 15 - 14 0.251 Cf 14 - 6 0.751
Gf 15 - 16 0.251 Cf 7 - 15 1.000
Gf 16 - 15 0.518 Cf 15 - 7 0.749
Gf 16 - 0 0.000 Cf 8 - 16 1.000
Gf 0 16 0.000 Cf 16 8 0.482
Third level
Girder factor Column factor
Gf 17 - 18 0.496 Cf 9 - 17 0.504
Gf 18 - 17 0.330 Cf 17 - 9 0.504
Gf 18 - 19 0.330 Cf 10 - 18 0.670
Gf 19 - 18 0.338 Cf 18 - 10 0.670
Gf 19 - 20 0.338 Cf 11 - 19 0.662
Gf 20 - 19 0.346 Cf 19 - 11 0.662
Gf 20 - 21 0.346 Cf 12 - 20 0.654
Gf 21 - 20 0.343 Cf 20 - 12 0.654
Gf 21 - 22 0.343 Cf 13 - 21 0.657
Gf 22 - 21 0.249 Cf 21 - 13 0.657
Gf 22 - 23 0.249 Cf 14 - 22 0.751
Gf 23 - 22 0.251 Cf 22 - 14 0.751
Gf 23 - 24 0.251 Cf 15 - 23 0.749
Gf 24 - 23 0.518 Cf 23 - 15 0.749
Gf 24 - 0 0.000 Cf 16 - 24 0.482
Gf 0 24 0.000 Cf 24 16 0.482
Second level
Girder factor Column factor
Gf 25 - 26 0.695 Cf 17 - 25 0.504
Gf 26 - 25 0.532 Cf 25 - 17 0.305
Gf 26 - 27 0.532 Cf 18 - 26 0.670
Gf 27 - 26 0.542 Cf 26 - 18 0.468
Gf 27 - 28 0.542 Cf 19 - 27 0.662
Gf 28 - 27 0.550 Cf 27 - 19 0.458
Gf 28 - 29 0.550 Cf 20 - 28 0.654
Gf 29 - 28 0.547 Cf 28 - 20 0.450
Gf 29 - 30 0.547 Cf 21 - 29 0.657
Gf 30 - 29 0.434 Cf 29 - 21 0.453
Gf 30 - 31 0.434 Cf 22 - 30 0.751
Gf 31 - 30 0.436 Cf 30 - 22 0.566
Gf 31 - 32 0.436 Cf 23 - 31 0.749
Gf 32 - 31 0.713 Cf 31 - 23 0.564
Gf 32 - 0 0.000 Cf 24 - 32 0.482
Gf 0 32 0.000 Cf 32 - 24 0.287
SECOND LEVEL
GIRDER MOMENT FACTOR CLUMN MOMENT FACTOR
Gf 9 - 10 226742.830 ` Cf 1 - 9 211275.00000
Gf 10 - 9 198271.340 Cf 9 - 1 169425.00000
Gf 10 - 11 171171.970 Cf 2 - 10 225281.25000
Gf 11 - 10 172544.090 Cf 10 - 2 197437.50000
Gf 11 - 12 162119.349 Cf 3 - 11 224606.25000
Gf 12 - 11 163388.385 Cf 11 - 3 196087.50000
Gf 12 - 13 166452.566 Cf 4 - 12 223931.25000
Gf 13 - 12 165809.892 Cf 12 - 4 194737.50000
Gf 13 - 14 152343.828 Cf 5 - 13 224268.75000
Gf 14 - 13 137044.341 Cf 13 - 5 195243.75000
Gf 14 - 15 260416.500 Cf 6 - 14 232200.00000
Gf 15 - 14 261110.944 Cf 14 - 6 211106.25000
Gf 15 - 16 160336.860 Cf 7 - 15 232031.25000
Gf 16 - 15 202464.584 Cf 15 - 7 210768.75000
Gf 16 - 0 0.000 Cf 8 - 16 209418.75000
Gf 0 16 0.000 Cf 16 8 165712.50000
THIRD LEVEL
GIRDER MOMENT FACTOR COLUMN MOMENT FACTOR

Gf 17 - 18 226742.830 Cf 9 - 17 127575.000
Gf 18 - 17 198271.340 Cf 17 - 9 127575.000
Gf 18 - 19 171171.970 Cf 10 - 18 169593.750
Gf 19 - 18 172544.090 Cf 18 - 10 169593.750
Gf 19 - 20 162119.349 Cf 11 - 19 167568.750
Gf 20 - 19 163388.385 Cf 19 - 11 167568.750
Gf 20 - 21 166452.566 Cf 12 - 20 165543.750
Gf 21 - 20 165809.892 Cf 20 - 12 165543.750
Gf 21 - 22 152343.828 Cf 13 - 21 166387.500
Gf 22 - 21 137044.341 Cf 21 - 13 166387.500
Gf 22 - 23 260416.500 Cf 14 - 22 190181.250
Gf 23 - 22 261110.944 Cf 22 - 14 190181.250
Gf 23 - 24 160336.860 Cf 15 - 23 189675.000
Gf 24 - 0 202464.584 Cf 23 - 15 189675.000
Gf 24 - 0 0.000 Cf 16 - 24 122006.250
Gf 0 24 0.000 Cf 24 16 122006.250
ROOF LEVEL

Gf 25 - 26 71204.334 Cf 17 - 25 110784.375
Gf 26 - 25 65202.720 Cf 25 - 17 93993.750
Gf 26 - 27 59497.482 Cf 18 - 26 152550.000
Gf 27 - 26 59867.952 Cf 26 - 18 135506.250
Gf 27 - 28 55987.376 Cf 19 - 27 150356.250
Gf 28 - 27 56261.488 Cf 27 - 19 133143.750
Gf 28 - 29 57193.016 Cf 20 - 28 148331.250
Gf 29 - 28 57054.198 Cf 28 - 20 131118.750
Gf 29 - 30 53719.132 Cf 21 - 29 149090.625
Gf 30 - 29 49781.604 Cf 29 - 21 131878.125
Gf 30 - 31 97800.000 Cf 22 - 30 174487.500
Gf 31 - 30 97950.000 Cf 30 - 22 158878.125
Gf 31 - 32 53850.251 Cf 23 - 31 173981.250
Gf 32 - 31 63221.417 Cf 31 - 23 158371.875
Gf 32 - 0 0.000 Cf 24 - 32 105553.125
Gf 0 32 0.000 Cf 32 24 89100.000
For Ground Floor For Second Floor For Third Floor

Given Given Given
height of the floor 4000 height of the floor 4000 height of the floor 4000
Force 37 Force 26 Force 14
∑CMF 3323531.25 ∑CMF 2597062.5 ∑CMF 2197125

N1st floor = 0.00005 N2nd floor = 0.00004 N3rd floor = 0.00003
FINAL MOMENTS
Column Moment Girder Moment
Ground Floor
Cf 1 - 9 9.507 Gf 9 - 10 12.727
Cf 9 - 1 7.624 Gf 10 - 9 8.409
Cf 2 - 10 10.138 Gf 10 - 11 7.260
Cf 10 - 2 8.885 Gf 11 - 10 8.005
Cf 3 - 11 10.107 Gf 11 - 12 7.522
Cf 11 - 3 8.824 Gf 12 - 11 7.621
Cf 4 - 12 10.077 Gf 12 - 13 7.764
Cf 12 - 4 8.763 Gf 13 - 12 8.048
Cf 5 - 13 10.092 Gf 13 - 14 7.394
Cf 13 - 5 8.786 Gf 14 - 13 5.898
Cf 6 - 14 10.449 Gf 14 - 15 11.209
Cf 14 - 6 9.500 Gf 15 - 14 10.577
Cf 7 - 15 10.441 Gf 15 - 16 6.495
Cf 15 - 7 9.485 Gf 16 - 15 12.337
Cf 8 - 16 9.424 Gf 16 - 0 0.000
Cf 16 8 7.457 Gf 0 16 0.000

Second Floor
Cf 9 - 17 5.103 Gf 17 - 18 7.873
Cf 17 - 9 5.103 Gf 18 - 17 4.902
Cf 10 - 18 6.784 Gf 18 - 19 10.500
Cf 18 - 10 6.784 Gf 19 - 18 9.918
Cf 11 - 19 6.703 Gf 19 - 20 3.247
Cf 19 - 11 6.703 Gf 20 - 19 3.280
Cf 12 - 20 6.622 Gf 20 - 21 3.342
Cf 20 - 12 6.622 Gf 21 - 20 3.469
Cf 13 - 21 6.656 Gf 21 - 22 3.187
Cf 21 - 13 6.656 Gf 22 - 21 2.623
Cf 14 - 22 7.607 Gf 22 - 23 4.984
Cf 22 - 14 7.607 Gf 23 - 22 4.701
Cf 15 - 23 7.587 Gf 23 - 24 2.886
Cf 23 - 15 7.587 Gf 24 - 0 4.880
Cf 16 - 24 4.880 Gf 24 - 0 0.000
Cf 24 16 4.880 Gf 0 24 0.000

Third Floor
Cf 17 - 25 2.770 Gf 25 - 26 2.350
Cf 25 - 17 2.350 Gf 26 - 25 1.772
Cf 18 - 26 3.814 Gf 26 - 27 1.616
Cf 26 - 18 3.388 Gf 27 - 26 1.720
Cf 19 - 27 3.759 Gf 27 - 28 1.609
Cf 27 - 19 3.329 Gf 28 - 27 1.626
Cf 20 - 28 3.708 Gf 28 - 29 1.652
Cf 28 - 20 3.278 Gf 29 - 28 1.698
Cf 21 - 29 3.727 Gf 29 - 30 1.599
Cf 29 - 21 3.297 Gf 30 - 29 1.340
Cf 22 - 30 4.362 Gf 30 - 31 2.632
Cf 30 - 22 3.972 Gf 31 - 30 2.555
Cf 23 - 31 4.350 Gf 31 - 32 1.404
Cf 31 - 23 3.959 Gf 32 - 31 2.228
Cf 24 - 32 2.639 Gf 32 - 0 0.000
Cf 32 24 2.228 Gf 0 32 0.000
FACTOR METHOD -TRANSVERSAL

Computation
FOR COLUMNS
for stiffness
Factor

k
mmx10^
Third Floor 168750 4
Second mmx10^
168750
Floor 4
Ground Floor 168750 mmx10^
FOR 4
BEAMS

For Second Floor
span 1 2 3 4 5 6 7

54824 115740 115740 48828 78125
k 548246 6 7 7 1 0 1041667

For Third Floor
span 1 2 3 4 5 6 7

54824 115740 115740 48828 78125
k 548246 6 7 7 1 0 1041667

For Roof Level
span 1 2 3 4 5 6 7
11842 10546 16875
k 118421 1 250000 250000 9 0 225000

SIZE OF BEAMS
HEIGHT (mm)
b (mm) h (mm)
ROOF LEVEL 3000 3000 THIRD TO
4000
THIRD FLOOR 3000 5000 ROOF
SECOND FLOOR 3000 5000 SECOND TO
4000
THIRD FLOOR
SIZE OF COLUMNS GROUND TO
SECOND 4000
b (mm) h (mm) FLOOR
THIRD FLOOR 3000 3000
SECOND FLOOR 3000 3000
FIRST FLOOR 3000 3000
GIRDER FACTOR COLUMN FACTOR
SECOND LEVEL
Gf 9 - 10 0.381 Cf 1 - 9 1.000
Gf 10 - 9 0.235 Cf 9 - 1 0.619
Gf 10 - 11 0.235 Cf 2 - 10 1.000
Gf 11 - 10 0.165 Cf 10 - 2 0.765
Gf 11 - 12 0.165 Cf 3 - 11 1.000
Gf 12 - 11 0.127 Cf 11 - 3 0.835
Gf 12 - 13 0.127 Cf 4 - 12 1.000
Gf 13 - 12 0.170 Cf 12 - 4 0.873
Gf 13 - 14 0.170 Cf 5 - 13 1.000
Gf 14 - 13 0.210 Cf 13 - 5 0.830
Gf 14 - 15 0.210 Cf 6 - 14 1.000
Gf 15 - 14 0.156 Cf 14 - 6 0.790
Gf 15 - 16 0.156 Cf 7 - 15 1.000
Gf 16 - 15 0.245 Cf 15 - 7 0.844
Gf 16 - 0 0.000 Cf 8 - 16 1.000
Gf 0 16 0.000 Cf 16 8 0.755
Gf 0 - 0 0.000 Cf 0 - 0 0.000
THIRD LEVEL
Gf 17 - 18 0.381 Cf 9 - 17 0.619
Gf 18 - 17 0.235 Cf 17 - 9 0.619
Gf 18 - 19 0.235 Cf 10 - 18 0.765
Gf 19 - 18 0.165 Cf 18 - 10 0.765
Gf 19 - 20 0.165 Cf 11 - 19 0.835
Gf 20 - 19 0.127 Cf 19 - 11 0.835
Gf 20 - 21 0.127 Cf 12 - 20 0.873
Gf 21 - 20 0.170 Cf 20 - 12 0.873
Gf 21 - 22 0.170 Cf 13 - 21 0.830
Gf 22 - 21 0.210 Cf 21 - 13 0.830
Gf 22 - 23 0.210 Cf 14 - 22 0.790
Gf 23 - 22 0.156 Cf 22 - 14 0.790
Gf 23 - 24 0.156 Cf 15 - 23 0.844
Gf 24 - 23 0.245 Cf 23 - 15 0.844
Gf 24 - 0 0.000 Cf 16 - 24 0.755
Gf 0 24 0.000 Cf 24 16 0.755
SECOND LEVEL
Gf 25 - 26 0.588 Cf 17 - 25 0.619
Gf 26 - 25 0.416 Cf 25 - 17 0.412
Gf 26 - 27 0.416 Cf 18 - 26 0.765
Gf 27 - 26 0.314 Cf 26 - 18 0.584
Gf 27 - 28 0.314 Cf 19 - 27 0.835
Gf 28 - 27 0.252 Cf 27 - 19 0.686
Gf 28 - 29 0.252 Cf 20 - 28 0.873
Gf 29 - 28 0.322 Cf 28 - 20 0.748
Gf 29 - 30 0.322 Cf 21 - 29 0.830
Gf 30 - 29 0.381 Cf 29 - 21 0.678
Gf 30 - 31 0.381 Cf 22 - 30 0.790
Gf 31 - 30 0.300 Cf 30 - 22 0.619
Gf 31 - 32 0.300 Cf 23 - 31 0.844
Gf 32 - 31 0.429 Cf 31 - 23 0.700
Gf 32 - 0 0.000 Cf 24 - 32 0.755
Gf 0 32 0.000 Cf 32 - 24 0.571
SECOND LEVEL
Gf 9 - 10 273574.754 ` Cf 1 - 9 221062.50000
Gf 10 - 9 233552.796 Cf 9 - 1 188831.25000
Gf 10 - 11 174342.228 Cf 2 - 10 233381.25000
Gf 11 - 10 155153.618 Cf 10 - 2 213468.75000
Gf 11 - 12 265046.203 Cf 3 - 11 239287.50000
Gf 12 - 11 243055.470 Cf 11 - 3 225281.25000
Gf 12 - 13 245370.284 Cf 4 - 12 242493.75000
Gf 13 - 12 270833.238 Cf 12 - 4 231693.75000
Gf 13 - 14 134277.275 Cf 5 - 13 238781.25000
Gf 14 - 13 144042.895 Cf 13 - 5 224437.50000
Gf 14 - 15 225000.000 Cf 6 - 14 235406.25000
Gf 15 - 14 203906.250 Cf 14 - 6 217687.50000
Gf 15 - 16 290625.093 Cf 7 - 15 239962.50000
Gf 16 - 15 336458.441 Cf 15 - 7 226800.00000
Gf 16 - 0 0.000 Cf 8 - 16 232537.50000
Gf 0 16 0.000 Cf 16 8 211781.25000
THIRD LEVEL
Gf 17 - 18 273574.754 Cf 9 - 17 156768.750
Gf 18 - 17 233552.796 Cf 17 - 9 156768.750
Gf 18 - 19 174342.228 Cf 10 - 18 193725.000
Gf 19 - 18 155153.618 Cf 18 - 10 193725.000
Gf 19 - 20 265046.203 Cf 11 - 19 211443.750
Gf 20 - 19 243055.470 Cf 19 - 11 211443.750
Gf 20 - 21 245370.284 Cf 12 - 20 221062.500
Gf 21 - 20 270833.238 Cf 20 - 12 221062.500
Gf 21 - 22 134277.275 Cf 13 - 21 210093.750
Gf 22 - 21 144042.895 Cf 21 - 13 210093.750
Gf 22 - 23 225000.000 Cf 14 - 22 199968.750
Gf 23 - 22 203906.250 Cf 22 - 14 199968.750
Gf 23 - 24 290625.093 Cf 15 - 23 213637.500
Gf 24 - 0 336458.441 Cf 23 - 15 213637.500
Gf 24 - 0 0.000 Cf 16 - 24 191193.750
Gf 0 24 0.000 Cf 24 16 191193.750
ROOF LEVEL
Gf 25 - 26 94263.116 Cf 17 - 25 139218.750
Gf 26 - 25 84078.910 Cf 25 - 17 121753.125
Gf 26 - 27 67855.233 Cf 18 - 26 178368.750
Gf 27 - 26 61815.762 Cf 26 - 18 163096.875
Gf 27 - 28 110000.000 Cf 19 - 27 198787.500
Gf 28 - 27 102250.000 Cf 27 - 19 186215.625
Gf 28 - 29 103250.000 Cf 20 - 28 210431.250
Gf 29 - 28 112000.000 Cf 28 - 20 199884.375
Gf 29 - 30 54105.597 Cf 21 - 29 197268.750
Gf 30 - 29 57164.198 Cf 29 - 21 184443.750
Gf 30 - 31 89606.250 Cf 22 - 30 185540.625
Gf 31 - 30 82856.250 Cf 30 - 22 171112.500
Gf 31 - 32 115875.000 Cf 23 - 31 201487.500
Gf 32 - 31 130275.000 Cf 31 - 23 189337.500
Gf 32 - 0 0.000 Cf 24 - 32 175584.375
Gf 0 32 0.000 Cf 32 24 160059.375
For Ground Floor For Second Floor For Third Floor
Given Given Given
height of the floor 4000 height of the floor 4000 height of the floor 4000
Force 51 Force 36 Force 19
2862590.62
3622893.75 ∑CMF 3195787.5
∑CMF ∑CMF 5

N1st floor = 0.00006 N2nd floor = 0.00005 N3rd floor = 0.00003
FINAL MOMENTS
Ground Floor
Cf 1 - 9 12.380 Gf 9 - 10 17.630
Cf 9 - 1 10.575 Gf 10 - 9 11.836
Cf 2 - 10 13.069 Gf 10 - 11 8.836
Cf 10 - 2 11.954 Gf 11 - 10 8.172
Cf 3 - 11 13.400 Gf 11 - 12 13.959
Cf 11 - 3 12.616 Gf 12 - 11 11.407
Cf 4 - 12 13.580 Gf 12 - 13 11.516
Cf 12 - 4 12.975 Gf 13 - 12 14.723
Cf 5 - 13 13.372 Gf 13 - 14 7.300
Cf 13 - 5 12.569 Gf 14 - 13 8.271
Cf 6 - 14 13.183 Gf 14 - 15 12.919
Cf 14 - 6 12.191 Gf 15 - 14 9.201
Cf 7 - 15 13.438 Gf 15 - 16 13.114
Cf 15 - 7 12.701 Gf 16 - 15 20.464
Cf 8 - 16 13.022 Gf 16 - 0 0.000
Cf 16 8 11.860 Gf 0 16 0.000

Second Floor
Cf 9 - 17 7.055 Gf 17 - 18 10.814
Cf 17 - 9 7.055 Gf 18 - 17 6.874
Cf 10 - 18 8.718 Gf 18 - 19 15.039
Cf 18 - 10 8.718 Gf 19 - 18 17.379
Cf 11 - 19 9.515 Gf 19 - 20 6.002
Cf 19 - 11 9.515 Gf 20 - 19 4.950
Cf 12 - 20 9.948 Gf 20 - 21 4.998
Cf 20 - 12 9.948 Gf 21 - 20 6.320
Cf 13 - 21 9.454 Gf 21 - 22 3.134
Cf 21 - 13 9.454 Gf 22 - 21 3.512
Cf 14 - 22 8.999 Gf 22 - 23 5.487
Cf 22 - 14 8.999 Gf 23 - 22 3.964
Cf 15 - 23 9.614 Gf 23 - 24 5.650
Cf 23 - 15 9.614 Gf 24 - 0 8.604
Cf 16 - 24 8.604 Gf 24 - 0 0.000
Cf 24 16 8.604 Gf 0 24 0.000

Third Floor
Cf 17 - 25 3.759 Gf 25 - 26 3.287
Cf 25 - 17 3.287 Gf 26 - 25 2.437
Cf 18 - 26 4.816 Gf 26 - 27 1.967
Cf 26 - 18 4.404 Gf 27 - 26 1.809
Cf 19 - 27 5.367 Gf 27 - 28 3.219
Cf 27 - 19 5.028 Gf 28 - 27 2.685
Cf 20 - 28 5.682 Gf 28 - 29 2.712
Cf 28 - 20 5.397 Gf 29 - 28 3.358
Cf 21 - 29 5.326 Gf 29 - 30 1.622
Cf 29 - 21 4.980 Gf 30 - 29 1.799
Cf 22 - 30 5.010 Gf 30 - 31 2.821
Cf 30 - 22 4.620 Gf 31 - 30 2.131
Cf 23 - 31 5.440 Gf 31 - 32 2.981
Cf 31 - 23 5.112 Gf 32 - 31 4.322
Cf 24 - 32 4.741 Gf 32 - 0 0.000
Cf 32 24 4.322 Gf 0 32 0.000

Factor Method - 2

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FACTOR METHOD -TRANSVERSAL

Girder factor column factor

Girder factor Column factor

Girder factor Column factor

GIRDER MOMENT FACTOR COLUMN MOMENT FACTOR

GIRDER MOMENT FACTOR COLUMN MOMENT FACTOR

For Ground Floor For Second Floor For Third Floor

Column Moment Girder Moment

Column Moment Girder Moment

Column Moment Girder Moment

Column Moment Girder Moment

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