44
Project Made by Location Checked MATERIALS fck 30 N/mm² 1.15 steel Cover 35 mm fyk 500 N/mm² 1.5 concrete dg 20 mm φ φef 10 mm Steel class A CONNECTING BEAMS/SLABS DESIGN SECTION Clear height, L = 2800 mm h 300 mm RESTRAINTS Top left 300 250 b 300 mm Top F Fixed Top right 300 250 Bars per face 2 No Btm F Fixed Bottom left 300 250 All bars in 300 wide faces Braced Y Bottom right 300 250 . Beam stiffnesses are 70% Column above? N BAR ARRANGEMENTS Data on connecting beams only aff Type Bar Ø Link Ø Bar c/c H 40 5.59 10 170.0 0.0 0.0 H 32 3.57 8 182.0 558.9 2601.3 H 25 2.18 8 189.0 598.7 2183.8 H 20 1.40 8 194.0 611.0 1948.5 H 16 0.89 8 198.0 619.8 1797.8 H 12 0.50 8 202.0 627.9 1680.6 N:M INTERACTION CHART for 300 x 300 column, grade C30, 35 mm cover and 2 bars on 300 mm LOADCASES Load case Load case Double 1 1620 38.5 47.8 4 H20 4 1620 38.5 curvature ? 2 1620 38.5 47.8 4 H20 5 1620 38.5 YES 3 1620 38.5 47.8 4 H20 6 1620 38.5 γs γc Δc,dev b (mm) h (mm) Asc % Nbal (kN) Nuz (kN) AXIAL COMPRESSION, N Ed (kN) MOMENT MEd (kNm) NEd (kN) m0e (kNm) MEd (kNm) NEd (kN) m0e (kNm) 0 20 40 60 80 100 120 140 160 0 500 1000 1500 2000 2500 3000 Nbal Min M 1620 H12 H16 H20 H25 H32 Row 28

Column Calculation EC2

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Page 1: Column Calculation EC2

Project

Made by Date Page

Location 21-Apr-23

Checked Revision Job No

-

MATERIALS

fck 30 N/mm² 1.15 steel Cover 35 mm

fyk 500 N/mm² 1.5 concrete dg 20 mm

φ φef 10 mm RemoteSteel class A CONNECTING BEAMS/SLABS end

DESIGN SECTION Clear height, L = 2800 mm (F) or (P)

h 300 mm RESTRAINTS Top left 300 250 3.6 F

b 300 mm Top F Fixed Top right 300 250 3.6 F

Bars per face 2 No Btm F Fixed Bottom left 300 250 3.6 FAll bars in 300 wide faces Braced Y Bottom right 300 250 3.6 F

. Beam stiffnesses are 70% of uncracked stiffnesColumn above? N Col below? N

BAR ARRANGEMENTS Data on connecting beams only affects loadcases, not charting.

Type Bar Ø Link Ø Bar c/c ChecksH 40 5.59 10 170.0 0.0 0.0 Asc > 4 %H 32 3.57 8 182.0 558.9 2601.3 okH 25 2.18 8 189.0 598.7 2183.8 okH 20 1.40 8 194.0 611.0 1948.5 okH 16 0.89 8 198.0 619.8 1797.8 okH 12 0.50 8 202.0 627.9 1680.6 ok

N:M INTERACTION CHART for 300 x 300 column, grade C30, 35 mm cover and 2 bars on 300 mm faces

LOADCASES Load case Load caseDouble 1 1620 38.5 47.8 4 H20 4 1620 38.5 47.8 4 H20

curvature ? 2 1620 38.5 47.8 4 H20 5 1620 38.5 47.8 4 H20YES 3 1620 38.5 47.8 4 H20 6 1620 38.5 47.8 4 H20

γs

γc

Δc,dev

b (mm) h (mm) L (m)

Asc % Nbal (kN) Nuz (kN)

AX

IAL C

OM

PR

ES

SIO

N,

NEd

(kN

)

MOMENT MEd (kNm)

NEd (kN) m0e (kNm) MEd (kNm) NEd (kN) m0e (kNm) MEd (kNm)

0 20 40 60 80 100 120 140 160 180 2000

500

1000

1500

2000

2500

3000

Nbal

Min M

1620

H12

H16H20

H25

H32

Row 28

H10
Aggrgate size
B11
Basic Creep Factor
E11
Effective Creep Factor
H11
Cover Design Tolerance
F15
Fixed, Pinned or Cantilever
F16
Fixed or Pinned
Page 2: Column Calculation EC2

Project 0 Location 0

CALCULATIONS0.80

17.00 N/mm²

434.78 N/mm²

417.78 N/mm²

40 Bar diameterd' = 65 mm d = 235

N=0 quadratic a = 4080 b = 0.012411Interval = 6.039

N = 0 (solve for zero N)x Neutral axis 0.02 6.06 12.10Fc Conc comp force 96 24736 49375

Limiting strain 0.00350 0.00350 0.00350Steel comp strain -9.63143 -0.03402 -0.01530Steel tens strain 34.83049 0.13217 0.06447

fsc Steel comp stress -1926303.85 -6821.91 -3076.78fst Steel tens stress 434.8 434.8 434.8Fsc Steel comp force -96 0 0Fst Steel tens force 0 0 0z Conc lever arm 234.99 232.57 230.16

0 N Fc + Fsc - Fst 0.00 0.00 0.00M M O R 0.00 0.00 0.00

N diff 0.00 0.00 0.00M diff 0.00 0.00 0.00

32 Bar diameterd' = 59 mm d = 241

N=0 quadratic a = 4080 b = 399256.5Interval = 2.539

N = 0 (solve for zero N)x Neutral axis 87.73 90.27 92.81Fc Conc comp force 357946 368305 378663

Limiting strain 0.00350 0.00350 0.00350Steel comp strain 0.00115 0.00121 0.00128Steel tens strain 0.00611 0.00584 0.00559

fsc Steel comp stress 212.25 225.49 238.00fst Steel tens stress 434.8 434.8 434.8

l = ecu3 =h.fcd = h.accfck/gc = ec3 =

fyd = (1-ec3/ec3u)h

net fyd =

ec maxescest

ec maxescest

Page 3: Column Calculation EC2

Fsc Steel comp force 341400 362695 382826Fst Steel tens force 699346 699346 699346z Conc lever arm 205.91 204.89 203.88

1 N Fc + Fsc - Fst 0.00 31.65 62.14M M O R 135.84 138.59 141.22

Labels for chart

N diff 31.65 30.49 29.42M diff 2.75 2.63 2.51

25 Bar diameterd' = 55.5 mm d = 244.5

N=0 quadratic a = 4080 b = 243686.9Interval = 3.312

N = 0 (solve for zero N)x Neutral axis 71.33 74.64 77.95Fc Conc comp force 291025 304539 318053

Limiting strain 0.00350 0.00350 0.00350Steel comp strain 0.00078 0.00090 0.00101Steel tens strain 0.00850 0.00796 0.00748

fsc Steel comp stress 138.35 162.52 184.63fst Steel tens stress 434.8 434.8 434.8Fsc Steel comp force 135821 159549 181260Fst Steel tens force 426847 426847 426847z Conc lever arm 215.97 214.64 213.32

1 N Fc + Fsc - Fst 0.00 37.24 72.47M M O R 88.52 92.00 95.26

Labels for chart

N diff 37.24 35.22 33.45M diff 3.48 3.25 3.05

20 Bar diameterd' = 53 d = 247

N=0 quadratic a = 4080 b = 155959.6Interval = 3.896

N = 0 (solve for zero N)x Neutral axis 58.85 62.75 66.65Fc Conc comp force 240121 256018 271915

Limiting strain 0.00350 0.00350 0.00350Steel comp strain 0.00035 0.00054 0.00072Steel tens strain 0.01119 0.01028 0.00947

fsc Steel comp stress 52.62 91.76 126.33fst Steel tens stress 434.8 434.8 434.8Fsc Steel comp force 33061 57655 79373Fst Steel tens force 273182 273182 273182z Conc lever arm 223.46 221.90 220.34

1 N Fc + Fsc - Fst 0.00 40.49 78.11M M O R 60.07 64.07 67.74

Labels for chart

ec maxescest

ec maxescest

Page 4: Column Calculation EC2

N diff 40.49 37.61 35.22M diff 4.00 3.67 3.39

16 Bar diameterd' = 51 d = 249

N=0 quadratic a = 4080 b = 99814.14Interval = 4.386

N = 0 (solve for zero N)x Neutral axis 48.33 52.72 57.11Fc Conc comp force 197201 215096 232991

Limiting strain 0.00350 0.00350 0.00350Steel comp strain -0.00019 0.00011 0.00037Steel tens strain 0.01453 0.01303 0.01176

fsc Steel comp stress -55.62 5.83 57.84fst Steel tens stress 434.8 434.8 434.8Fsc Steel comp force -22365 2345 23260Fst Steel tens force 174836 174836 174836z Conc lever arm 229.67 227.91 226.16

1 N Fc + Fsc - Fst 0.00 42.61 81.41M M O R 40.86 45.27 49.24

Labels for chart

N diff 42.61 38.81 35.83M diff 4.41 3.97 3.61

12 Bar diameterd' = 49 d = 251

N=0 quadratic a = 4080 b = 56145.45Interval = 4.899

N = 0 (solve for zero N)x Neutral axis 37.27 42.16 47.06Fc Conc comp force 152046 172032 192018

Limiting strain 0.00350 0.00350 0.00350Steel comp strain -0.00110 -0.00057 -0.00014Steel tens strain 0.02007 0.01733 0.01517

fsc Steel comp stress -237.41 -130.48 -45.81fst Steel tens stress 434.8 434.8 434.8Fsc Steel comp force -53700 -29513 -10361Fst Steel tens force 98346 98346 98346z Conc lever arm 236.09 234.13 232.17

1 N Fc + Fsc - Fst 0.00 44.17 83.31M M O R 25.05 29.86 34.07

Labels for chart

N diff 44.17 39.14 35.53M diff 4.81 4.22 3.78

0 0 0LOADCASES 47.788079764 47.78808 47.78808

1620 1620 1620

ec maxescest

ec maxescest

Page 5: Column Calculation EC2

1 2 3

MIN M 0 520 2601

N bal 632.1 627.9 619.867.6 75.1 89.4

ok ok

Page 6: Column Calculation EC2

0.0035

0.00175 ALL CALCULATIONS DERIVED FROM 0.00 0.00

150 FIGURES 3.5 AND 6.1 270.00 270.00

mm Asc = 0.0 mm²

c = -2E+00(24 intervals between N=0 and Nbal)

18.14 24.18 30.22 36.26 42.30 48.34 54.3874015 98654 123294 147933 172573 197212 221852

0.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.00350-0.00904 -0.00591 -0.00403 -0.00277 -0.00188 -0.00121 -0.000680.04184 0.03052 0.02372 0.01918 0.01595 0.01352 0.01163-1825.15 -1198.72 -822.67 -571.89 -392.72 -258.32 -153.78

434.8 434.8 434.8 434.8 434.8 434.8 434.80 0 0 0 0 0 00 0 0 0 0 0 0

227.74 225.33 222.91 220.50 218.08 215.67 213.250.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

mm Asc = 3217.0 mm²

c = -7E+07(24 intervals between N=0 and Nbal)

95.35 97.89 100.43 102.96 105.50 108.04 110.58389021 399379 409738 420096 430454 440812 4511710.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00133 0.00139 0.00144 0.00149 0.00154 0.00159 0.001630.00535 0.00512 0.00490 0.00469 0.00449 0.00431 0.00413249.85 261.09 271.75 281.89 291.54 300.74 309.52434.8 434.8 434.8 434.8 434.8 434.8 434.8

Page 7: Column Calculation EC2

401884 419954 437111 453421 468947 483742 497859699346 699346 699346 699346 699346 699346 699346202.86 201.85 200.83 199.81 198.80 197.78 196.7791.56 119.99 147.50 174.17 200.05 225.21 249.68143.73 146.13 148.42 150.61 152.72 154.73 156.66

28.43 27.51 26.67 25.88 25.15 24.47 23.842.40 2.29 2.20 2.10 2.02 1.93 1.85

mm Asc = 1963.5 mm²

c = -4E+07(24 intervals between N=0 and Nbal)

81.27 84.58 87.89 91.20 94.51 97.83 101.14331566 345080 358594 372107 385621 399135 4126480.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00111 0.00120 0.00129 0.00137 0.00144 0.00151 0.001580.00703 0.00662 0.00624 0.00588 0.00555 0.00525 0.00496204.94 223.66 240.97 257.03 271.95 285.87 298.88434.8 434.8 434.8 434.8 434.8 434.8 434.8

201201 219581 236575 252335 266990 280653 293421426847 426847 426847 426847 426847 426847 426847211.99 210.67 209.34 208.02 206.69 205.37 204.04105.92 137.81 168.32 197.60 225.76 252.94 279.2298.31 101.17 103.88 106.42 108.83 111.11 113.27

31.89 30.51 29.27 28.17 27.18 26.28 25.472.87 2.70 2.55 2.41 2.28 2.16 2.05

mm Asc 1256.6 mm²

c = -2E+07(24 intervals between N=0 and Nbal)

70.54 74.44 78.33 82.23 86.13 90.02 93.92287812 303708 319605 335502 351399 367296 3831930.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00087 0.00101 0.00113 0.00124 0.00135 0.00144 0.001520.00876 0.00811 0.00754 0.00701 0.00654 0.00610 0.00570157.07 184.60 209.39 231.83 252.24 270.89 287.98434.8 434.8 434.8 434.8 434.8 434.8 434.898692 115988 131564 145664 158488 170202 180944273182 273182 273182 273182 273182 273182 273182218.78 217.22 215.67 214.11 212.55 210.99 209.43113.32 146.51 177.99 207.98 236.71 264.32 290.9571.12 74.26 77.19 79.92 82.48 84.88 87.13

Page 8: Column Calculation EC2

33.19 31.47 30.00 28.72 27.61 26.64 25.783.14 2.92 2.73 2.56 2.40 2.26 2.12

mm Asc 804.2 mm²

c = -1E+07(24 intervals between N=0 and Nbal)

61.49 65.88 70.26 74.65 79.04 83.42 87.81250886 268781 286676 304571 322465 340360 3582550.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00060 0.00079 0.00096 0.00111 0.00124 0.00136 0.001470.01067 0.00973 0.00890 0.00817 0.00753 0.00695 0.00643102.43 141.09 174.91 204.77 231.31 255.05 276.43434.8 434.8 434.8 434.8 434.8 434.8 434.841191 56734 70337 82341 93013 102563 111159174836 174836 174836 174836 174836 174836 174836224.40 222.65 220.89 219.14 217.39 215.63 213.88117.24 150.68 182.18 212.08 240.64 268.09 294.5852.85 56.16 59.22 62.05 64.69 67.16 69.47

33.44 31.50 29.90 28.57 27.44 26.49 25.673.31 3.06 2.84 2.64 2.47 2.31 2.17

mm Asc 452.4 mm²

c = -8E+06(24 intervals between N=0 and Nbal)

51.96 56.86 61.76 66.66 71.56 76.45 81.35212004 231990 251976 271962 291948 311935 3319210.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00020 0.00048 0.00072 0.00093 0.00110 0.00126 0.001390.01341 0.01195 0.01072 0.00968 0.00878 0.00799 0.0073022.90 79.77 127.61 168.43 203.66 234.37 261.38434.8 434.8 434.8 434.8 434.8 434.8 434.85180 18043 28866 38098 46066 53013 5912398346 98346 98346 98346 98346 98346 98346230.22 228.26 226.30 224.34 222.38 220.42 218.46118.84 151.69 182.50 211.71 239.67 266.60 292.7037.85 41.28 44.42 47.32 50.02 52.54 54.89

32.85 30.81 29.22 27.95 26.93 26.10 25.403.43 3.14 2.90 2.70 2.52 2.35 2.21

0 0 047.78808 47.78808 47.78808

1620 1620 1620

Page 9: Column Calculation EC2

4 5 6

611.0 598.7 558.9 558.9107.3 134.3 177.9 177.9

ok ok ok Asc > 4 %

Page 10: Column Calculation EC2

60.41 66.45 72.49 78.53 84.57 90.61 96.65246491 271131 295770 320409 345049 369688 3943280.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.00350-0.00027 0.00008 0.00036 0.00060 0.00081 0.00099 0.001150.01011 0.00888 0.00785 0.00697 0.00623 0.00558 0.00501-70.13 -1.69 55.35 103.62 144.99 180.85 212.22434.8 434.8 434.8 434.8 434.8 434.8 434.8

0 0 0 0 0 0 00 0 0 0 0 0 0

210.83 208.42 206.00 203.59 201.17 198.76 196.340.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

113.12 115.66 118.20 120.74 123.27 125.81 128.35461529 471887 482245 492604 502962 513320 5236780.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00167 0.00171 0.00175 0.00179 0.00182 0.00186 0.001890.00396 0.00379 0.00364 0.00349 0.00334 0.00320 0.00307317.90 325.91 333.58 340.93 347.98 354.74 361.23434.8 434.8 434.8 434.8 434.8 434.8 434.8

Page 11: Column Calculation EC2

511341 524232 536569 548387 559719 570593 581037699346 699346 699346 699346 699346 699346 699346195.75 194.74 193.72 192.71 191.69 190.67 189.66273.52 296.77 319.47 341.65 363.33 384.57 405.37158.52 160.30 162.01 163.64 165.22 166.73 168.18

23.25 22.70 22.18 21.69 21.23 20.80 20.401.78 1.71 1.64 1.57 1.51 1.45 1.39

104.45 107.76 111.08 114.39 117.70 121.01 124.32426162 439676 453189 466703 480217 493730 5072440.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00164 0.00170 0.00175 0.00180 0.00185 0.00189 0.001940.00469 0.00444 0.00420 0.00398 0.00377 0.00357 0.00338311.06 322.49 333.24 343.37 352.92 361.96 370.51434.8 434.8 434.8 434.8 434.8 434.8 434.8

305379 316603 327156 337099 346482 355352 363749426847 426847 426847 426847 426847 426847 426847202.72 201.39 200.07 198.74 197.42 196.10 194.77304.69 329.43 353.50 376.96 399.85 422.24 444.15115.31 117.25 119.10 120.84 122.50 124.08 125.57

24.74 24.07 23.46 22.90 22.38 21.91 21.471.94 1.84 1.75 1.66 1.57 1.49 1.42

97.82 101.71 105.61 109.50 113.40 117.30 121.19399089 414986 430883 446780 462677 478574 4944700.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00160 0.00168 0.00174 0.00181 0.00186 0.00192 0.001970.00534 0.00500 0.00469 0.00439 0.00412 0.00387 0.00363303.72 318.25 331.70 344.20 355.84 366.71 376.88434.8 434.8 434.8 434.8 434.8 434.8 434.8

190831 199960 208415 216269 223583 230411 236800273182 273182 273182 273182 273182 273182 273182207.87 206.32 204.76 203.20 201.64 200.08 198.52316.74 341.76 366.12 389.87 413.08 435.80 458.0989.26 91.26 93.15 94.92 96.60 98.18 99.67

Page 12: Column Calculation EC2

25.03 24.35 23.75 23.21 22.72 22.29 21.892.00 1.89 1.78 1.68 1.58 1.49 1.40

92.19 96.58 100.97 105.35 109.74 114.12 118.51376150 394045 411940 429835 447730 465625 4835190.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00156 0.00165 0.00173 0.00181 0.00187 0.00194 0.001990.00595 0.00552 0.00513 0.00477 0.00444 0.00414 0.00385295.77 313.36 329.41 344.13 357.68 370.18 381.76434.8 434.8 434.8 434.8 434.8 434.8 434.8

118937 126008 132465 138385 143831 148859 153514174836 174836 174836 174836 174836 174836 174836212.12 210.37 208.61 206.86 205.10 203.35 201.60320.25 345.22 369.57 393.38 416.72 439.65 462.2071.63 73.67 75.58 77.37 79.05 80.63 82.11

24.97 24.35 23.81 23.34 22.92 22.55 22.222.03 1.91 1.79 1.68 1.58 1.48 1.38

86.25 91.15 96.05 100.95 105.85 110.74 115.64351907 371893 391879 411865 431851 451837 4718230.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00151 0.00162 0.00171 0.00180 0.00188 0.00195 0.002020.00669 0.00614 0.00565 0.00520 0.00480 0.00443 0.00410285.33 306.70 325.89 343.22 358.94 373.28 386.40434.8 434.8 434.8 434.8 434.8 434.8 434.864539 69373 73715 77634 81191 84433 8740198346 98346 98346 98346 98346 98346 98346216.50 214.54 212.58 210.62 208.66 206.70 204.74318.10 342.92 367.25 391.15 414.70 437.93 460.8857.10 59.16 61.10 62.92 64.63 66.22 67.71

24.82 24.33 23.91 23.54 23.23 22.95 22.712.07 1.94 1.82 1.70 1.59 1.49 1.39

Page 13: Column Calculation EC2

102.69 108.73 114.77 120.81 126.84 132.88 138.92418967 443607 468246 492886 517525 542165 5668040.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00128 0.00141 0.00152 0.00162 0.00171 0.00179 0.001860.00451 0.00406 0.00367 0.00331 0.00298 0.00269 0.00242239.91 264.52 286.54 306.36 324.29 340.59 355.48434.8 434.8 434.8 434.8 434.8 434.8 434.8

0 0 0 0 0 0 00 0 0 0 0 0 0

193.92 191.51 189.09 186.68 184.26 181.85 179.430.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

130.89 133.43 135.97 138.51 141.05 143.59 146.12534037 544395 554753 565111 575470 585828 5961860.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00192 0.00195 0.00198 0.00201 0.00204 0.00206 0.002090.00294 0.00282 0.00270 0.00259 0.00248 0.00237 0.00227367.47 373.47 379.25 384.82 390.19 395.37 400.36434.8 434.8 434.8 434.8 434.8 434.8 434.8

Page 14: Column Calculation EC2

591076 600732 610028 618984 627617 635944 643983699346 699346 699346 699346 699346 699346 699346188.64 187.63 186.61 185.60 184.58 183.57 182.55425.77 445.78 465.44 484.75 503.74 522.43 540.82169.57 170.91 172.19 173.43 174.61 175.74 176.82

20.02 19.65 19.31 18.99 18.69 18.40 18.121.34 1.28 1.23 1.18 1.13 1.08 1.04

127.64 130.95 134.26 137.57 140.89 144.20 147.51520758 534271 547785 561298 574812 588326 6018390.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00198 0.00202 0.00205 0.00209 0.00212 0.00215 0.002180.00320 0.00303 0.00287 0.00272 0.00257 0.00243 0.00230378.62 386.32 393.64 400.60 407.24 413.58 417.78434.8 434.8 434.8 434.8 434.8 434.8 434.8

371710 379268 386453 393293 399811 406029 410157426847 426847 426847 426847 426847 426847 426847193.45 192.12 190.80 189.47 188.15 186.82 185.50465.62 486.69 507.39 527.74 547.78 567.51 585.15126.99 128.33 129.61 130.81 131.95 133.02 133.86

21.07 20.70 20.35 20.03 19.73 17.64 13.511.34 1.27 1.20 1.14 1.07 0.84 0.41

125.09 128.99 132.88 136.78 140.68 144.57 148.47510367 526264 542161 558058 573955 589851 6057480.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00202 0.00206 0.00210 0.00214 0.00218 0.00222 0.002250.00341 0.00320 0.00301 0.00282 0.00265 0.00248 0.00232386.41 395.37 403.81 411.76 417.78 417.78 417.78434.8 434.8 434.8 434.8 434.8 434.8 434.8

242791 248420 253719 258716 262501 262501 262501273182 273182 273182 273182 273182 273182 273182196.96 195.41 193.85 192.29 190.73 189.17 187.61479.98 501.50 522.70 543.59 563.27 579.17 595.07101.07 102.38 103.62 104.77 105.76 106.33 106.85

Page 15: Column Calculation EC2

21.53 21.20 20.89 19.68 15.90 15.90 15.901.31 1.23 1.15 0.99 0.57 0.52 0.47

122.90 127.28 131.67 136.05 140.44 144.83 149.21501414 519309 537204 555099 572994 590889 6087840.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00205 0.00210 0.00214 0.00219 0.00223 0.00227 0.002300.00359 0.00335 0.00312 0.00291 0.00271 0.00252 0.00234392.51 402.52 411.86 417.78 417.78 417.78 417.78434.8 434.8 434.8 434.8 434.8 434.8 434.8

157838 161863 165620 168000 168000 168000 168000174836 174836 174836 174836 174836 174836 174836199.84 198.09 196.33 194.58 192.82 191.07 189.32484.42 506.34 527.99 548.26 566.16 584.05 601.9583.50 84.79 85.99 87.00 87.70 88.34 88.92

21.92 21.65 20.28 17.89 17.89 17.89 17.891.29 1.20 1.00 0.71 0.64 0.58 0.52

120.54 125.44 130.34 135.24 140.14 145.03 149.93491809 511796 531782 551768 571754 591740 6117260.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00208 0.00213 0.00218 0.00223 0.00228 0.00232 0.002360.00379 0.00350 0.00324 0.00300 0.00277 0.00256 0.00236398.45 409.56 417.78 417.78 417.78 417.78 417.78434.8 434.8 434.8 434.8 434.8 434.8 434.890127 92641 94500 94500 94500 94500 9450098346 98346 98346 98346 98346 98346 98346202.78 200.82 198.86 196.91 194.95 192.99 191.03483.59 506.09 527.94 547.92 567.91 587.89 607.8869.09 70.38 71.52 72.39 73.19 73.91 74.55

22.50 21.85 19.99 19.99 19.99 19.99 19.991.29 1.14 0.87 0.80 0.72 0.64 0.56

Page 16: Column Calculation EC2

4

Interval = 13.183 (27 intervals between Nbal and Nuz)N bal (solve for Nbal)

144.96 158.14 171.33 184.51 197.69 210.88 224.06591444 645230 699015 752801 806587 860373 9141590.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00193 0.00206 0.00217 0.00227 0.00235 0.00242 0.002480.00217 0.00170 0.00130 0.00096 0.00066 0.00040 0.00017369.12 395.29 417.43 417.78 417.78 417.78 417.78434.8 340.2 260.2 191.6 132.1 80.1 34.2

0 0 0 0 0 0 00 0 0 0 0 0 0

177.02 171.74 166.47 161.20 155.92 150.65 145.380.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.004H40

0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

Interval = 13.963 (27 intervals between Nbal and Nuz)N bal (solve for Nbal)

148.66 162.63 176.59 190.55 204.52 218.48 232.44606544 663514 720483 777453 834422 891392 9483610.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00211 0.00223 0.00233 0.00242 0.00249 0.00255 0.002610.00217 0.00169 0.00128 0.00093 0.00062 0.00036 0.00013405.19 417.78 417.78 417.78 417.78 417.78 417.78434.8 337.3 255.3 185.3 124.9 72.2 25.8

Page 17: Column Calculation EC2

651747 672001 672001 672001 672001 672001 672001699346 542626 410690 298090 200865 116067 41458181.53 175.95 170.36 164.78 159.19 153.61 148.02558.95 792.89 981.79 1151.36 1305.56 1447.33 1578.91177.86 166.90 155.71 145.64 136.33 127.52 119.004H32

233.94 188.91 169.57 154.19 141.77 131.58 123.12-10.97 -11.19 -10.07 -9.30 -8.81 -8.52 -8.39

Interval = 14.418 (27 intervals between Nbal and Nuz)N bal (solve for Nbal)

150.82 165.24 179.66 194.08 208.49 222.91 237.33615353 674180 733006 791833 850659 909486 9683130.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00221 0.00232 0.00242 0.00250 0.00257 0.00263 0.002680.00217 0.00168 0.00126 0.00091 0.00060 0.00034 0.00011417.78 417.78 417.78 417.78 417.78 417.78 417.78434.8 335.8 252.6 181.9 120.9 67.8 21.1

410157 410157 410157 410157 410157 410157 410157426847 329637 248030 178548 118677 66550 20757184.17 178.40 172.64 166.87 161.10 155.33 149.57598.66 754.70 895.13 1023.44 1142.14 1253.09 1357.71134.28 126.48 119.47 112.94 106.63 100.38 94.044H25

156.04 140.43 128.31 118.70 110.95 104.62 99.37-7.80 -7.00 -6.54 -6.31 -6.25 -6.33 -6.52

Interval = 14.743 (27 intervals between Nbal and Nuz)N bal (solve for Nbal)

152.36 167.11 181.85 196.59 211.34 226.08 240.82621645 681798 741951 802104 862257 922411 9825640.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00228 0.00239 0.00248 0.00256 0.00262 0.00268 0.002730.00217 0.00167 0.00125 0.00090 0.00059 0.00032 0.00009417.78 417.78 417.78 417.78 417.78 417.78 417.78434.8 334.7 250.8 179.5 118.1 64.8 18.0

262501 262501 262501 262501 262501 262501 262501273182 210276 157569 112768 74218 40696 11279186.05 180.16 174.26 168.36 162.46 156.57 150.67610.96 734.02 846.88 951.84 1050.54 1144.21 1233.79107.32 102.56 98.07 93.64 89.11 84.36 79.294H20

Page 18: Column Calculation EC2

123.06 112.86 104.95 98.70 93.68 89.57 86.18-4.77 -4.49 -4.43 -4.53 -4.75 -5.06 -5.45

Interval = 15.004 (27 intervals between Nbal and Nuz)N bal (solve for Nbal)

153.60 168.60 183.60 198.61 213.61 228.62 243.62626679 687893 749107 810322 871536 932750 9939640.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00234 0.00244 0.00253 0.00260 0.00266 0.00272 0.002770.00217 0.00167 0.00125 0.00089 0.00058 0.00031 0.00008417.78 417.78 417.78 417.78 417.78 417.78 417.78434.8 333.8 249.3 177.6 116.0 62.4 15.5

168000 168000 168000 168000 168000 168000 168000174836 134229 100258 71420 46633 25099 6218187.56 181.56 175.56 169.56 163.56 157.55 151.55619.84 721.66 816.85 906.90 992.90 1075.65 1155.7589.44 86.71 83.91 80.88 77.51 73.73 69.484H16

101.82 95.19 90.05 86.00 82.75 80.10 77.90-2.73 -2.80 -3.03 -3.37 -3.78 -4.25 -4.77

Interval = 15.264 (27 intervals between Nbal and Nuz)N bal (solve for Nbal)

154.83 170.10 185.36 200.62 215.89 231.15 246.41631712 693988 756263 818539 880814 943090 10053650.00350 0.00350 0.00350 0.00350 0.00350 0.00350 0.003500.00239 0.00249 0.00257 0.00265 0.00271 0.00276 0.002800.00217 0.00166 0.00124 0.00088 0.00057 0.00030 0.00007417.78 417.78 417.78 417.78 417.78 417.78 417.78434.8 333.0 247.9 175.8 113.9 60.1 13.094500 94500 94500 94500 94500 94500 9450098346 75312 56072 39759 25754 13598 2947189.07 182.96 176.86 170.75 164.65 158.54 152.43627.87 713.18 794.69 873.28 949.56 1023.99 1096.9275.11 74.03 72.58 70.65 68.21 65.18 61.554H12

85.31 81.52 78.59 76.28 74.43 72.93 71.68-1.08 -1.46 -1.92 -2.45 -3.02 -3.63 -4.27

Page 19: Column Calculation EC2

(27 intervals between Nbal and Nuz)

237.24 250.42 263.61 276.79 289.97 303.16 316.34967945 1021730 1075516 1129302 1183088 1236874 12906600.00350 0.00350 0.00350 0.00350 0.00350 0.00346 0.003330.00254 0.00259 0.00264 0.00268 0.00272 0.00272 0.00264-0.00003 -0.00022 -0.00038 -0.00053 -0.00066 -0.00078 -0.00086417.78 417.78 417.78 417.78 417.78 417.78 417.78

-6.6 -43.1 -76.0 -105.7 -132.7 -138.8 -154.10 0 0 0 0 0 00 0 0 0 0 0 0

140.10 134.83 129.56 124.28 119.01 113.74 108.460.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

(27 intervals between Nbal and Nuz)

246.40 260.37 274.33 288.29 302.26 316.22 330.181005331 1062300 1119270 1176239 1233209 1290178 13471470.00350 0.00350 0.00350 0.00350 0.00347 0.00333 0.003210.00266 0.00271 0.00275 0.00278 0.00280 0.00271 0.00263-0.00008 -0.00026 -0.00043 -0.00057 -0.00070 -0.00079 -0.00087417.78 417.78 417.78 417.78 417.78 417.78 417.78-15.4 -52.1 -85.0 -114.8 -123.8 -141.4 -156.2

Page 20: Column Calculation EC2

672001 672001 672001 672001 672001 672001 672001-24696 -83755 -136801 -184709 -199155 -227420 -251304142.44 136.85 131.27 125.68 120.10 114.51 108.931702.03 1818.06 1928.07 2032.95 2104.36 2189.60 2270.45110.62 102.24 93.77 85.14 78.91 70.79 62.43

116.03 110.02 104.88 71.42 85.23 80.85 77.42-8.38 -8.47 -8.64 -6.23 -8.12 -8.36 -8.68

(27 intervals between Nbal and Nuz)

251.75 266.17 280.59 295.00 309.42 323.84 338.261027139 1085966 1144792 1203619 1262445 1321272 13800990.00350 0.00350 0.00350 0.00350 0.00340 0.00326 0.003140.00273 0.00277 0.00281 0.00284 0.00279 0.00270 0.00263-0.00010 -0.00028 -0.00045 -0.00060 -0.00071 -0.00080 -0.00087417.78 417.78 417.78 417.78 417.78 417.78 417.78-20.2 -57.0 -90.0 -119.8 -125.5 -142.7 -157.3

410157 410157 410157 410157 410157 410157 410157-19790 -55945 -88384 -117652 -123242 -140135 -154440143.80 138.03 132.27 126.50 120.73 114.96 109.201457.09 1552.07 1643.33 1731.43 1795.84 1871.56 1944.7087.53 80.75 73.64 66.16 60.23 52.55 44.45

94.98 91.27 88.09 64.42 75.72 73.13 71.10-6.78 -7.11 -7.49 -5.93 -7.67 -8.11 -8.59

(27 intervals between Nbal and Nuz)

255.57 270.31 285.05 299.80 314.54 329.28 344.031042717 1102870 1163023 1223176 1283329 1343482 14036350.00350 0.00350 0.00350 0.00350 0.00335 0.00321 0.003100.00277 0.00281 0.00285 0.00288 0.00278 0.00270 0.00262-0.00012 -0.00030 -0.00047 -0.00062 -0.00072 -0.00080 -0.00088417.78 417.78 417.78 417.78 417.78 417.78 417.78-23.5 -60.4 -93.4 -123.3 -126.7 -143.6 -158.0

262501 262501 262501 262501 262501 262501 262501-14745 -37930 -58716 -77458 -79588 -90249 -99290144.77 138.88 132.98 127.08 121.18 115.29 109.391319.96 1403.30 1484.24 1563.13 1625.42 1696.23 1765.4373.85 67.97 61.61 54.74 48.78 41.28 33.22

Page 21: Column Calculation EC2

83.34 80.94 78.90 62.28 70.81 69.19 67.92-5.88 -6.36 -6.87 -5.97 -7.50 -8.05 -8.64

(27 intervals between Nbal and Nuz)

258.62 273.63 288.63 303.63 318.64 333.64 348.641055179 1116393 1177607 1238822 1300036 1361250 14224640.00350 0.00350 0.00350 0.00346 0.00331 0.00318 0.003070.00281 0.00285 0.00288 0.00288 0.00278 0.00269 0.00262-0.00013 -0.00031 -0.00048 -0.00062 -0.00072 -0.00081 -0.00088417.78 417.78 417.78 417.78 417.78 417.78 417.78-26.0 -63.0 -96.1 -124.5 -127.5 -144.3 -158.6

168000 168000 168000 168000 168000 168000 168000-10473 -25333 -38649 -50049 -51282 -58033 -63763145.55 139.55 133.55 127.55 121.55 115.54 109.541233.65 1309.73 1384.26 1456.87 1519.32 1587.28 1654.2364.71 59.39 53.49 47.04 40.87 33.41 25.32

76.07 74.53 72.61 62.45 67.96 66.95 66.14-5.32 -5.90 -6.45 -6.18 -7.46 -8.09 -8.75

(27 intervals between Nbal and Nuz)

261.68 276.94 292.20 307.47 322.73 337.99 353.261067641 1129916 1192192 1254467 1316743 1379018 14412940.00350 0.00350 0.00350 0.00342 0.00327 0.00315 0.003040.00284 0.00288 0.00291 0.00287 0.00277 0.00269 0.00262-0.00014 -0.00033 -0.00049 -0.00063 -0.00073 -0.00081 -0.00088417.78 417.78 417.78 417.78 417.78 417.78 417.78-28.6 -65.6 -98.7 -125.5 -128.3 -145.0 -159.194500 94500 94500 94500 94500 94500 94500-6460 -14831 -22327 -28390 -29031 -32790 -35984146.33 140.22 134.12 128.01 121.91 115.80 109.701168.60 1239.25 1309.02 1377.36 1440.27 1506.31 1571.7857.29 52.37 46.77 40.56 34.14 26.65 18.44

70.65 69.77 68.34 62.92 66.03 65.47 65.02-4.92 -5.59 -6.21 -6.42 -7.50 -8.20 -8.92

Page 22: Column Calculation EC2

329.52 342.70 355.89 369.07 382.25 395.43 408.621344446 1398231 1452017 1505803 1530000 1530000 15300000.00321 0.00311 0.00302 0.00295 0.00288 0.00282 0.002770.00258 0.00252 0.00247 0.00243 0.00239 0.00236 0.00233-0.00092 -0.00098 -0.00103 -0.00107 -0.00111 -0.00114 -0.00117417.78 417.78 417.78 417.78 417.78 417.78 417.78-167.3 -178.6 -188.5 -197.2 -204.9 -211.8 -218.0

0 0 0 0 0 0 00 0 0 0 0 0 0

103.19 97.92 92.65 87.37 85.00 85.00 85.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

344.15 358.11 372.07 386.04 400.00 413.96 427.921404117 1461086 1518056 1530000 1530000 1530000 15300000.00310 0.00301 0.00293 0.00286 0.00280 0.00274 0.002690.00257 0.00252 0.00247 0.00242 0.00239 0.00235 0.00232-0.00093 -0.00098 -0.00103 -0.00108 -0.00111 -0.00115 -0.00118417.78 417.78 417.78 417.78 417.78 417.78 417.78-168.9 -180.0 -189.6 -198.1 -205.6 -212.3 -218.4

Page 23: Column Calculation EC2

672001 672001 672001 672001 672001 672001 672001-271753 -289458 -304936 -318583 -330706 -341546 -351297103.34 97.76 92.17 91.00 91.00 91.00 91.002347.87 2422.55 2494.99 2520.58 2532.71 2543.55 2553.3053.75 44.68 35.18 32.16 31.06 30.07 29.18

74.67 72.45 25.59 12.12 10.84 9.75 8.82-9.07 -9.50 -3.02 -1.10 -0.99 -0.89 -0.80

352.68 367.10 381.51 395.93 410.35 424.77 439.191438925 1497752 1530000 1530000 1530000 1530000 15300000.00305 0.00296 0.00288 0.00282 0.00276 0.00271 0.002660.00257 0.00251 0.00246 0.00242 0.00239 0.00235 0.00232-0.00093 -0.00099 -0.00104 -0.00108 -0.00111 -0.00115 -0.00118417.78 417.78 417.78 417.78 417.78 417.78 417.78-169.8 -180.6 -190.1 -198.5 -206.0 -212.6 -218.6410157 410157 410157 410157 410157 410157 410157-166710 -177351 -186666 -194889 -202201 -208745 -214637103.43 97.66 94.50 94.50 94.50 94.50 94.502015.79 2085.26 2126.82 2135.05 2142.36 2148.90 2154.7935.85 26.74 21.12 20.34 19.65 19.03 18.48

69.47 41.56 8.22 7.31 6.54 5.89 5.33-9.12 -5.62 -0.78 -0.69 -0.62 -0.56 -0.50

358.77 373.52 388.26 403.00 417.75 432.49 447.231463788 1523941 1530000 1530000 1530000 1530000 15300000.00301 0.00292 0.00285 0.00279 0.00273 0.00268 0.002630.00256 0.00251 0.00246 0.00242 0.00238 0.00235 0.00232-0.00094 -0.00099 -0.00104 -0.00108 -0.00112 -0.00115 -0.00118417.78 417.78 417.78 417.78 417.78 417.78 417.78-170.4 -181.1 -190.5 -198.8 -206.2 -212.8 -218.8262501 262501 262501 262501 262501 262501 262501-107054 -113794 -119700 -124917 -129560 -133718 -137463103.49 97.59 97.00 97.00 97.00 97.00 97.001833.34 1900.24 1912.20 1917.42 1922.06 1926.22 1929.9624.58 15.33 13.85 13.35 12.90 12.49 12.13

Page 24: Column Calculation EC2

66.89 11.96 5.22 4.64 4.16 3.75 3.39-9.25 -1.48 -0.51 -0.45 -0.40 -0.36 -0.33

363.65 378.65 393.65 408.66 423.66 438.66 453.671483679 1530000 1530000 1530000 1530000 1530000 15300000.00298 0.00290 0.00283 0.00276 0.00271 0.00266 0.002610.00256 0.00251 0.00246 0.00242 0.00238 0.00235 0.00232-0.00094 -0.00099 -0.00104 -0.00108 -0.00112 -0.00115 -0.00118417.78 417.78 417.78 417.78 417.78 417.78 417.78-170.8 -181.5 -190.8 -199.0 -206.4 -213.0 -218.9168000 168000 168000 168000 168000 168000 168000-68689 -72969 -76721 -80038 -82992 -85638 -88023103.54 99.00 99.00 99.00 99.00 99.00 99.001720.37 1770.97 1774.72 1778.04 1780.99 1783.64 1786.0216.57 9.41 9.04 8.71 8.42 8.15 7.92

50.60 3.75 3.32 2.95 2.65 2.38 2.16-7.16 -0.37 -0.33 -0.29 -0.26 -0.24 -0.21

368.52 383.79 399.05 414.31 429.58 444.84 460.101503569 1530000 1530000 1530000 1530000 1530000 15300000.00295 0.00287 0.00280 0.00274 0.00269 0.00264 0.002600.00256 0.00251 0.00246 0.00242 0.00238 0.00235 0.00232-0.00094 -0.00099 -0.00104 -0.00108 -0.00112 -0.00115 -0.00118417.78 417.78 417.78 417.78 417.78 417.78 417.78-171.2 -181.8 -191.1 -199.3 -206.6 -213.1 -219.094500 94500 94500 94500 94500 94500 94500-38732 -41121 -43217 -45071 -46722 -48203 -49538103.59 101.00 101.00 101.00 101.00 101.00 101.001636.80 1665.62 1667.72 1669.57 1671.22 1672.70 1674.04

9.53 5.39 5.18 4.99 4.83 4.68 4.54

28.82 2.10 1.85 1.65 1.48 1.33 1.21-4.14 -0.21 -0.19 -0.17 -0.15 -0.13 -0.12

Page 25: Column Calculation EC2

421.80 434.98 448.17 461.35 474.53 487.71 500.901530000 1530000 1530000 1530000 1530000 1530000 15300000.00272 0.00267 0.00263 0.00259 0.00256 0.00253 0.002500.00230 0.00227 0.00225 0.00223 0.00221 0.00219 0.00217-0.00120 -0.00123 -0.00125 -0.00127 -0.00129 -0.00131 -0.00133417.78 417.78 417.78 417.78 417.78 417.78 417.78-223.5 -228.6 -233.2 -237.4 -241.3 -244.9 -248.2

0 0 0 0 0 0 00 0 0 0 0 0 0

85.00 85.00 85.00 85.00 85.00 85.00 85.000.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

441.89 455.85 469.81 483.78 497.74 511.70 525.671530000 1530000 1530000 1530000 1530000 1530000 15300000.00265 0.00261 0.00257 0.00254 0.00250 0.00248 0.002450.00230 0.00227 0.00225 0.00223 0.00221 0.00219 0.00217-0.00120 -0.00123 -0.00125 -0.00127 -0.00129 -0.00131 -0.00133417.78 417.78 417.78 417.78 417.78 417.78 417.78-223.9 -228.9 -233.4 -237.6 -241.4 -244.9 -248.2

Page 26: Column Calculation EC2

672001 672001 672001 672001 672001 672001 672001-360114 -368127 -375440 -382142 -388305 -393992 -399257

91.00 91.00 91.00 91.00 91.00 91.00 91.002562.12 2570.13 2577.44 2584.14 2590.31 2595.99 2601.2628.38 27.65 26.99 26.38 25.82 25.30 24.82

8.01 7.31 6.70 6.16 5.69 5.26 0.00-0.73 -0.67 -0.61 -0.56 -0.52 -0.48 -24.82

453.61 468.02 482.44 496.86 511.28 525.70 540.121530000 1530000 1530000 1530000 1530000 1530000 15300000.00261 0.00258 0.00254 0.00251 0.00248 0.00245 0.002420.00229 0.00227 0.00225 0.00223 0.00221 0.00219 0.00217-0.00121 -0.00123 -0.00125 -0.00127 -0.00129 -0.00131 -0.00133417.78 417.78 417.78 417.78 417.78 417.78 417.78-224.1 -229.0 -233.5 -237.6 -241.5 -245.0 -248.2410157 410157 410157 410157 410157 410157 410157-219970 -224819 -229247 -233307 -237043 -240493 -243687

94.50 94.50 94.50 94.50 94.50 94.50 94.502160.13 2164.98 2169.40 2173.46 2177.20 2180.65 2183.8417.97 17.51 17.10 16.71 16.36 16.03 15.73

4.85 4.43 4.06 3.74 3.45 3.19 0.00-0.46 -0.42 -0.38 -0.35 -0.33 -0.30 -15.73

461.98 476.72 491.46 506.21 520.95 535.69 550.441530000 1530000 1530000 1530000 1530000 1530000 15300000.00259 0.00255 0.00252 0.00249 0.00246 0.00243 0.002410.00229 0.00227 0.00225 0.00223 0.00221 0.00219 0.00217-0.00121 -0.00123 -0.00125 -0.00127 -0.00129 -0.00131 -0.00133417.78 417.78 417.78 417.78 417.78 417.78 417.78-224.2 -229.1 -233.6 -237.7 -241.5 -245.0 -248.2262501 262501 262501 262501 262501 262501 262501-140855 -143940 -146759 -149345 -151725 -153923 -155960

97.00 97.00 97.00 97.00 97.00 97.00 97.001933.36 1936.44 1939.26 1941.85 1944.23 1946.42 1948.4611.80 11.50 11.23 10.98 10.75 10.53 10.33

Page 27: Column Calculation EC2

3.09 2.82 2.59 2.38 2.20 2.04 0.00-0.30 -0.27 -0.25 -0.23 -0.21 -0.20 -10.33

468.67 483.67 498.68 513.68 528.69 543.69 558.691530000 1530000 1530000 1530000 1530000 1530000 15300000.00257 0.00254 0.00250 0.00247 0.00244 0.00242 0.002390.00229 0.00227 0.00225 0.00223 0.00221 0.00219 0.00217-0.00121 -0.00123 -0.00125 -0.00127 -0.00129 -0.00131 -0.00133417.78 417.78 417.78 417.78 417.78 417.78 417.78-224.3 -229.2 -233.6 -237.7 -241.5 -245.0 -248.2168000 168000 168000 168000 168000 168000 168000-90183 -92149 -93946 -95595 -97113 -98515 -9981499.00 99.00 99.00 99.00 99.00 99.00 99.00

1788.18 1790.15 1791.95 1793.60 1795.11 1796.52 1797.817.70 7.51 7.33 7.17 7.02 6.88 6.75

1.97 1.80 1.65 1.52 1.40 1.30 0.00-0.19 -0.18 -0.16 -0.15 -0.14 -0.13 -6.75

475.37 490.63 505.89 521.16 536.42 551.69 566.951530000 1530000 1530000 1530000 1530000 1530000 15300000.00256 0.00252 0.00249 0.00246 0.00243 0.00240 0.002380.00229 0.00227 0.00225 0.00223 0.00221 0.00219 0.00217-0.00121 -0.00123 -0.00125 -0.00127 -0.00129 -0.00131 -0.00133417.78 417.78 417.78 417.78 417.78 417.78 417.78-224.4 -229.2 -233.7 -237.8 -241.5 -245.0 -248.294500 94500 94500 94500 94500 94500 94500-50748 -51849 -52856 -53779 -54630 -55417 -56145101.00 101.00 101.00 101.00 101.00 101.00 101.001675.25 1676.35 1677.36 1678.28 1679.13 1679.92 1680.65

4.42 4.31 4.21 4.11 4.03 3.95 3.87

1.10 1.01 0.92 0.85 0.79 0.73 0.00-0.11 -0.10 -0.09 -0.09 -0.08 -0.07 -3.87

Page 28: Column Calculation EC2

Nuz

15300000.001750.00175 0.00217-0.00175333.00-333.0

00

85.000.000.00

00

Nuz

15300000.001750.00175-0.00175333.00-333.0

Page 29: Column Calculation EC2

535629-535629

91.002601.26

0.00

00

Nuz

15300000.001750.00175-0.00175333.00-333.0326922-326922

94.502183.84

0.00

00

Nuz

15300000.001750.00175-0.00175333.00-333.0209230-209230

97.001948.46

0.00

Page 30: Column Calculation EC2

00

Nuz

15300000.001750.00175-0.00175333.00-333.0133907-133907

99.001797.81

0.00

00

Nuz

15300000.001750.00175-0.00175333.00-333.075323-75323101.001680.65

0.00

00

Page 31: Column Calculation EC2

Project 0

Location 0

LOADCASE1N = 1620 M = 38.5 n = 1.059

Nuz Mmax Status Nuz40 0 0.0 Fails 0 0.032 2601.3 116.2 ok 0 2601.325 2183.8 75.5 ok 0 2183.820 1948.5 49.3 ok 20 1948.516 1797.8 29.5 Fails 0 1797.812 1680.6 11.8 Fails 0 1680.6

20LOADCASE2

N = 1620 M = 38.5 n = 1.059

Nuz Mmax Status40 0 0.0 Fails 032 2601.3 116.2 ok 025 2183.8 75.5 ok 020 1948.5 49.3 ok 2016 1797.8 29.5 Fails 012 1680.6 11.8 Fails 0

20LOADCASE3

N = 1620 M = 38.5 n = 1.059

Nuz Mmax Status40 0 0.0 Fails 032 2601.3 116.2 ok 025 2183.8 75.5 ok 020 1948.5 49.3 ok 2016 1797.8 29.5 Fails 012 1680.6 11.8 Fails 0

20LOADCASE4

N = 1620 M = 38.5 n = 1.059

Nuz Mmax Status40 0 0.0 Fails 032 2601.3 116.2 ok 025 2183.8 75.5 ok 0

Page 32: Column Calculation EC2

20 1948.5 49.3 ok 2016 1797.8 29.5 Fails 012 1680.6 11.8 Fails 0

20LOADCASE5

N = 1620 M = 38.5 n = 1.059

Nuz Mmax Status40 0 0.0 Fails 032 2601.3 116.2 ok 025 2183.8 75.5 ok 020 1948.5 49.3 ok 2016 1797.8 29.5 Fails 012 1680.6 11.8 Fails 0

20LOADCASE6

N = 1620 M = 38.5 n = 1.059

Nuz Mmax Status40 0 0.0 Fails 032 2601.3 116.2 ok 025 2183.8 75.5 ok 020 1948.5 49.3 ok 2016 1797.8 29.5 Fails 012 1680.6 11.8 Fails 0

20

Page 33: Column Calculation EC2

LOADCASES

Date

Min M = 32.4

Mmax lu M lu N lu Mdif lu Ndif kr kØ 1/r .10³#DIV/0! 0.00 0 0 0 0.564 1.000 0.0116 0.0116.204 119.00 1578.91 -8.3864 123.123 0.552 1.000 0.0111 0.075.4582 80.75 1552.07 -7.107 91.2656 0.428 1.000 0.0085 0.049.2967 54.74 1563.13 -5.9654 62.2835 0.311 1.000 0.0061 0.029.4531 33.41 1587.28 -8.0914 66.9451 0.206 1.000 0.0040 0.011.8325 18.44 1571.78 -8.9159 65.0233 0.097 1.000 0.0019 0.0

Min M = 32.4

Mmax lu M lu N lu Mdif lu Ndif kr kØ 1/r .10³#DIV/0! 0.00 0 0 0 0.564 1.000 0.0116 0.0116.204 119.00 1578.91 -8.3864 123.123 0.552 1.000 0.0111 0.075.4582 80.75 1552.07 -7.107 91.2656 0.428 1.000 0.0085 0.049.2967 54.74 1563.13 -5.9654 62.2835 0.311 1.000 0.0061 0.029.4531 33.41 1587.28 -8.0914 66.9451 0.206 1.000 0.0040 0.011.8325 18.44 1571.78 -8.9159 65.0233 0.097 1.000 0.0019 0.0

Min M = 32.4

Mmax lu M lu N lu Mdif lu Ndif kr kØ 1/r .10³#DIV/0! 0.00 0 0 0 0.564 1.000 0.0116 0.0116.204 119.00 1578.91 -8.3864 123.123 0.552 1.000 0.0111 0.075.4582 80.75 1552.07 -7.107 91.2656 0.428 1.000 0.0085 0.049.2967 54.74 1563.13 -5.9654 62.2835 0.311 1.000 0.0061 0.029.4531 33.41 1587.28 -8.0914 66.9451 0.206 1.000 0.0040 0.011.8325 18.44 1571.78 -8.9159 65.0233 0.097 1.000 0.0019 0.0

Min M = 32.4

Mmax lu M lu N lu Mdif lu Ndif kr kØ 1/r .10³#DIV/0! 0.00 0 0 0 0.564 1.000 0.0116 0.0116.204 119.00 1578.91 -8.3864 123.123 0.552 1.000 0.0111 0.075.4582 80.75 1552.07 -7.107 91.2656 0.428 1.000 0.0085 0.0

M2

M2

M2

M2

Page 34: Column Calculation EC2

49.2967 54.74 1563.13 -5.9654 62.2835 0.311 1.000 0.0061 0.029.4531 33.41 1587.28 -8.0914 66.9451 0.206 1.000 0.0040 0.011.8325 18.44 1571.78 -8.9159 65.0233 0.097 1.000 0.0019 0.0

Min M = 32.4

Mmax lu M lu N lu Mdif lu Ndif kr kØ 1/r .10³#DIV/0! 0.00 0 0 0 0.564 1.000 0.0116 0.0116.204 119.00 1578.91 -8.3864 123.123 0.552 1.000 0.0111 0.075.4582 80.75 1552.07 -7.107 91.2656 0.428 1.000 0.0085 0.049.2967 54.74 1563.13 -5.9654 62.2835 0.311 1.000 0.0061 0.029.4531 33.41 1587.28 -8.0914 66.9451 0.206 1.000 0.0040 0.011.8325 18.44 1571.78 -8.9159 65.0233 0.097 1.000 0.0019 0.0

Min M = 32.4

Mmax lu M lu N lu Mdif lu Ndif kr kØ 1/r .10³#DIV/0! 0.00 0 0 0 0.564 1.000 0.0116 0.0116.204 119.00 1578.91 -8.3864 123.123 0.552 1.000 0.0111 0.075.4582 80.75 1552.07 -7.107 91.2656 0.428 1.000 0.0085 0.049.2967 54.74 1563.13 -5.9654 62.2835 0.311 1.000 0.0061 0.029.4531 33.41 1587.28 -8.0914 66.9451 0.206 1.000 0.0040 0.011.8325 18.44 1571.78 -8.9159 65.0233 0.097 1.000 0.0019 0.0

M2

M2

Page 35: Column Calculation EC2

Ac = 90000

As nbal nu 1/r0 L =

Job No 5027 0.000 2.428 0.00002056

Made by 3217 0.365 1.914 0.00002005

21-Apr-23 1963 0.391 1.558 0.00001976 i =1257 0.399 1.357 0.00001956804 0.405 1.229 0.00001940

M imp 452 0.410 1.129 0.000019259.2881

MEd As min 0 47.8 ω λlim47.8 FAILS 12 47.8 1.428 40.4147.8 ok 16 47.8 0.914 40.4147.8 ok 0.5000 20 47.8 0.558 40.4147.8 ok 25 47.8 0.357 40.4147.8 ok 32 47.8 0.229 40.4147.8 ok 40 47.8 0.129 40.41

47.8

M imp9.2881

MEd As min 0 47.8 λlim47.8 FAILS 12 47.8 40.4147.8 ok 16 47.8 40.4147.8 ok 20 47.8 40.4147.8 ok 25 47.8 40.4147.8 ok 32 47.8 40.4147.8 ok 40 47.8 40.41

47.8

M imp9.2881

MEd As min 0 47.8 λlim47.8 FAILS 12 47.8 40.4147.8 ok 16 47.8 40.4147.8 ok 20 47.8 40.4147.8 ok 25 47.8 40.4147.8 ok 32 47.8 40.4147.8 ok 40 47.8 40.41

47.8

M imp9.2881

MEd As min 0 47.8 λlim47.8 FAILS 12 47.8 40.4147.8 ok 16 47.8 40.4147.8 ok 20 47.8 40.41

I/L col =

L0 =

an =q1 =

Page 36: Column Calculation EC2

47.8 ok 25 47.8 40.4147.8 ok 32 47.8 40.4147.8 ok 40 47.8 40.41

47.8

M imp9.2881

MEd As min 0 47.8 λlim47.8 FAILS 12 47.8 40.4147.8 ok 16 47.8 40.4147.8 ok 20 47.8 40.4147.8 ok 25 47.8 40.4147.8 ok 32 47.8 40.4147.8 ok 40 47.8 40.41

47.8

M imp9.2881

MEd As min 0 47.8 λlim47.8 FAILS 12 47.8 40.4147.8 ok 16 47.8 40.4147.8 ok 20 47.8 40.4147.8 ok 25 47.8 40.4147.8 ok 32 47.8 44.3447.8 ok 40 47.8 40.41

47.8

Page 37: Column Calculation EC2

Stiffnesses 70% Min As

2.8 TL M/θ = 151909.72 0.00745

2.41E+05 TR M/θ = 151909.72 0.00745

2.293 BL M/θ = 151909.72 0.00745

86.60 BR M/θ = 151909.72 0.00745

1 k top = 0.7934694 1 0.00745

0.005 k btm = 0.7934694 1 0.00745

Slender ?trans Ac I "i " λ0 160372 1.31E+09 90.3835 25.37 A0 135038 1.12E+09 90.9254 25.22 0.70 117489 9.64E+08 90.5725 25.32 C0 107593 8.69E+08 89.8687 25.52 2.70 101259 8.04E+08 89.1017 25.740 96333 7.50E+08 88.2498 25.99

Slender ?000000

Slender ?000000

Slender ?000

Page 38: Column Calculation EC2

000

Slender ?000000

Slender ?000000