Bi Ax Column design

Companys' Name: ABC Consultants Job No.: ABC/1001101, Known Street, Known Area, Known City, Pin …. Design by: UVW

Client: Very Important Industries Ltd, Well Known City Date: 8-Apr-23Project: XYZ Building Page No. C/101

for AXIAL COMPRESSIVE LOAD & BIAXIAL BENDING MOMENTS, INCLUDING SLENDERNESSEFFECT, AS PER IS:456-2000Calculates range of safe loads for a Column Section with given Concrete grade and Reinforcementand checks adequacy of the section for the given loads.

Column Dimensions:Breadth, 'b' = 400 mmDepth, 'D' = 500 mmConcrete Grade = M 3

Yield Strength of Steel, fy = 3Concrete Cover to main bars = 48 mm

Details of Reinforcement:Diameter of bars = 20 mm

No. of bars on 400 mm face = 4

No. of bars on 500 mm face = 4Total number of bars = 12

3770Percentage of Reinforcement = 1.885 < 4% O.K.

Applied Ultimate Loads Effective Length Unsupported Column Type

Col. Axial Load Braced or

Mk. Pu (kN) UnbracedC1 1500.00 -152.50 170.00 -20.00 30.00 6.000 5.000 7.000 1C2 431.40 0.00 199.48 0.00 0.00 5.500 5.500 5.500 1C3 2142.10 0.00 193.10 0.00 5.75 3.000 3.000 3.000 1C4 705.10 127.00 240.00 17.00 30.00 4.000 4.000 3.000 1C5 1068.20 -22.00 245.00 -12.00 35.00 5.300 5.300 4.000 1C6 1262.75 110.00 260.00 10.00 60.00 4.500 4.500 3.000 1C7 1700.00 -22.50 40.00 -22.50 140.00 5.000 5.000 3.000 2C8 1860.00 0.00 215.00 0.00 0.00 3.000 3.000 3.000 1C9 2011.12 -18.00 145.00 -15.00 110.00 4.500 4.500 3.000 2

SPREADSHEET OF DESIGN OF RECTANGULAR COLUMN SECTION BY LIMIT-STATE METHOD

N/mm2

Total Ast = mm2

Initial Moment Muix(kN.m) Initial Moment Muiy(kN.m) lex (m) ley (m) Length l (m)

M*uix1(+ or -) Muix2 (+ only) M*

uiy1(+ or -) Muiy2 (+ only)

COLUMN SECTION(Max. nos. of bar that can be shown in the section at each face =6 only)

b

D

(See figures on next page)

Mux

Muy

NOTES FOR USERS:1. Figures and text in white cells only are are to be filled as inputs. For any case without inputs, load inputs for that case are to be left blank.2. Concrete grade can be any grade as per IS:456-2000.3. Yield strength of steel, fy = 415 N/mm2 or 500 N/mm2 for HYSD bars. = 240 N/mm2 or 250 N/mm2 for M.S. bars.4. For notes on input preparation, please refer to worksheet on 'Notes'.

H11

NOTES FOR USERS: 1. Figures and text in white cells only are are to be filled as inputs. For any case without inputs, load inputs for that case are to be left blank. 2. Concrete grade can be any grade as per IS:456-2000. 3. Yield strength of steel, fy = 415 N/mm2 or 500 N/mm2 for HYSD bars. = 240 N/mm2 or 250 N/mm2 for M.S. bars. 4. For notes on input preparation, please refer to worksheet on 'Notes'.

C10 2752.30 -50.00 120.00 -50.00 120.00 3.000 6.000 3.000 1



For calculations of Final Design Moments, see worksheet on 'Slenderness eff.'.

Summary of Results:

Axial Load Final Design Moments Permissible Moments Max. Tensile Stress

StatusCol. (kN)

Mk. to be less than 1.0

C1 1500.00 170.00 79.09 286.39 216.20 245.04 191.85 0.728 Section O.K.

C2 431.40 199.48 26.81 297.65 225.97 360.9 360.22 0.789 Section O.K.

C3 2142.10 193.10 42.84 219.22 167.22 53.45 15.36 0.903 Section O.K.

C4 705.10 240.00 30.00 310.31 234.96 356.45 350.05 0.897 Section O.K.

C5 1068.20 245.00 72.32 309.84 234.50 333.19 312.94 1.004 Revise SectionC6 1262.75 260.00 60.00 303.99 229.53 308.6 263.95 0.998 Section O.K.

C7 1700.00 40.00 178.68 267.15 202.48 181.34 133.79 0.888 Section O.K.

C8 1860.00 215.00 37.20 250.66 190.53 132.81 89.15 0.862 Section O.K.

C9 2011.12 145.00 110.00 234.25 178.44 89.33 48.66 0.905 Section O.K.

C10 2752.30 120.00 155.11 132.82 102.28 0 0.00 3.116 Revise Section

Note: * at Muix1 and Muiy1 indicates moment is +ve for single curvature bending, and -ve for double curvature bending.

in Steel (N/mm2)

Mux(kN.m) Muy(kN.m) Mux1(kN.m) Muy1(kN.m) fsx fsy

[ M ux

M ux1 ]αn

+[ M uyM uy1 ]

αn

Braced Slender Column

Single Curvature

Double curvature

Unbraced Slender Column(Column with side sway)

Addn. Moments Max & May

due to slenderness

Initial Moments Muix & Muiy

Deflectedshape

Muix1 or

Muix2 or

++

-

+

-

Pu

Muix2>Muix1

Muiy2>Muiy1

Muiy2

Muiy1

See Charts for range of permissible values of Pu with Mux1and Muy1.

Position of reinforcement - Mux case BIAXCOLUMN.xls

Ast Mux case

1 1257 58 192 68 68 3322 628 186 64 186 68 3323 0 0 250 #N/A #N/A #N/A4 628 314 -64 314 68 3325 0 0 250 #N/A #N/A #N/A6 1257 442 -192 432 68 332

3770500 400

0 0 400 400 00 500 500 0 0

52 52 348 348 5252 448 448 52 52

-50 450 200 200250 250 -50 550

Steel Strain - Mux case

fy= 415 Es= 200000D = 500 mm b= 400 mm fck =25

xu/D es1 es2 es3 es4 es5 es60.1 5.6000E-04 9.5200E-03 3.5000E-03 1.8480E-02 3.5000E-03 2.7440E-02

0.125 2.5200E-04 6.9160E-03 3.5000E-03 1.4084E-02 3.5000E-03 2.1252E-020.15 7.9333E-04 5.1800E-03 3.5000E-03 1.1153E-02 3.5000E-03 1.7127E-02

0.175 1.1800E-03 3.9400E-03 3.5000E-03 9.0600E-03 3.5000E-03 1.4180E-020.2 1.4700E-03 3.0100E-03 3.5000E-03 7.4900E-03 3.5000E-03 1.1970E-02

0.225 1.6956E-03 2.2867E-03 3.5000E-03 6.2689E-03 3.5000E-03 1.0251E-020.25 1.8760E-03 1.7080E-03 3.5000E-03 5.2920E-03 3.5000E-03 8.8760E-03

0.275 2.0236E-03 1.2345E-03 3.5000E-03 4.4927E-03 3.5000E-03 7.7509E-030.3 2.1467E-03 8.4000E-04 3.5000E-03 3.8267E-03 3.5000E-03 6.8133E-03

0.325 2.2508E-03 5.0615E-04 3.5000E-03 3.2631E-03 3.5000E-03 6.0200E-030.35 2.3400E-03 2.2000E-04 3.5000E-03 2.7800E-03 3.5000E-03 5.3400E-03

0.375 2.4173E-03 2.8000E-05 3.5000E-03 2.3613E-03 3.5000E-03 4.7507E-030.4 2.4850E-03 2.4500E-04 3.5000E-03 1.9950E-03 3.5000E-03 4.2350E-03

0.425 2.5447E-03 4.3647E-04 3.5000E-03 1.6718E-03 3.5000E-03 3.7800E-030.45 2.5978E-03 6.0667E-04 3.5000E-03 1.3844E-03 3.5000E-03 3.3756E-03

0.475 2.6453E-03 7.5895E-04 3.5000E-03 1.1274E-03 3.5000E-03 3.0137E-030.5 2.6880E-03 8.9600E-04 3.5000E-03 8.9600E-04 3.5000E-03 2.6880E-03

0.525 2.7267E-03 1.0200E-03 3.5000E-03 6.8667E-04 3.5000E-03 2.3933E-030.55 2.7618E-03 1.1327E-03 3.5000E-03 4.9636E-04 3.5000E-03 2.1255E-03

Row1-6

(mm2) d1-6 y1-6

Total Ast =

N/mm2 N/mm2

0.575 2.7939E-03 1.2357E-03 3.5000E-03 3.2261E-04 3.5000E-03 1.8809E-030.6 2.8233E-03 1.3300E-03 3.5000E-03 1.6333E-04 3.5000E-03 1.6567E-03

0.625 2.8504E-03 1.4168E-03 3.5000E-03 1.6800E-05 3.5000E-03 1.4504E-030.65 2.8754E-03 1.4969E-03 3.5000E-03 1.1846E-04 3.5000E-03 1.2600E-03

0.675 2.8985E-03 1.5711E-03 3.5000E-03 2.4370E-04 3.5000E-03 1.0837E-030.7 2.9200E-03 1.6400E-03 3.5000E-03 3.6000E-04 3.5000E-03 9.2000E-04

0.725 2.9400E-03 1.7041E-03 3.5000E-03 4.6828E-04 3.5000E-03 7.6759E-040.75 2.9587E-03 1.7640E-03 3.5000E-03 5.6933E-04 3.5000E-03 6.2533E-04

0.775 2.9761E-03 1.8200E-03 3.5000E-03 6.6387E-04 3.5000E-03 4.9226E-040.8 2.9925E-03 1.8725E-03 3.5000E-03 7.5250E-04 3.5000E-03 3.6750E-04

0.825 3.0079E-03 1.9218E-03 3.5000E-03 8.3576E-04 3.5000E-03 2.5030E-040.85 3.0224E-03 1.9682E-03 3.5000E-03 9.1412E-04 3.5000E-03 1.4000E-04

0.875 3.0360E-03 2.0120E-03 3.5000E-03 9.8800E-04 3.5000E-03 3.6000E-050.9 3.0489E-03 2.0533E-03 3.5000E-03 1.0578E-03 3.5000E-03 6.2222E-05

0.925 3.0611E-03 2.0924E-03 3.5000E-03 1.1238E-03 3.5000E-03 1.5514E-040.95 3.0726E-03 2.1295E-03 3.5000E-03 1.1863E-03 3.5000E-03 2.4316E-04

0.975 3.0836E-03 2.1646E-03 3.5000E-03 1.2456E-03 3.5000E-03 3.2667E-041 3.0940E-03 2.1980E-03 3.5000E-03 1.3020E-03 3.5000E-03 4.0600E-04

1.025 3.0481E-03 2.1897E-03 3.4371E-03 1.3313E-03 3.4371E-03 4.7281E-041.05 3.0060E-03 2.1821E-03 3.3793E-03 1.3582E-03 3.3793E-03 5.3425E-04

1.075 2.9671E-03 2.1750E-03 3.3260E-03 1.3830E-03 3.3260E-03 5.9094E-041.1 2.9311E-03 2.1685E-03 3.2766E-03 1.4060E-03 3.2766E-03 6.4340E-04

1.125 2.8976E-03 2.1625E-03 3.2308E-03 1.4273E-03 3.2308E-03 6.9210E-041.15 2.8665E-03 2.1568E-03 3.1881E-03 1.4471E-03 3.1881E-03 7.3743E-04

1.175 2.8375E-03 2.1516E-03 3.1483E-03 1.4656E-03 3.1483E-03 7.7971E-041.2 2.8104E-03 2.1467E-03 3.1111E-03 1.4830E-03 3.1111E-03 8.1926E-04

1.225 2.7849E-03 2.1421E-03 3.0762E-03 1.4992E-03 3.0762E-03 8.5632E-041.25 2.7610E-03 2.1377E-03 3.0435E-03 1.5144E-03 3.0435E-03 8.9113E-04

1.275 2.7386E-03 2.1337E-03 3.0127E-03 1.5288E-03 3.0127E-03 9.2388E-041.3 2.7174E-03 2.1298E-03 2.9836E-03 1.5423E-03 2.9836E-03 9.5475E-04

1.325 2.6974E-03 2.1262E-03 2.9562E-03 1.5551E-03 2.9562E-03 9.8390E-041.35 2.6784E-03 2.1228E-03 2.9302E-03 1.5671E-03 2.9302E-03 1.0115E-03

1.375 2.6605E-03 2.1195E-03 2.9057E-03 1.5786E-03 2.9057E-03 1.0376E-031.4 2.6435E-03 2.1165E-03 2.8824E-03 1.5894E-03 2.8824E-03 1.0624E-03

1.425 2.6274E-03 2.1135E-03 2.8602E-03 1.5997E-03 2.8602E-03 1.0859E-031.45 2.6120E-03 2.1108E-03 2.8392E-03 1.6095E-03 2.8392E-03 1.1083E-03

1.475 2.5974E-03 2.1081E-03 2.8191E-03 1.6188E-03 2.8191E-03 1.1296E-031.5 2.5835E-03 2.1056E-03 2.8000E-03 1.6277E-03 2.8000E-03 1.1499E-03

1.525 2.5702E-03 2.1032E-03 2.7818E-03 1.6362E-03 2.7818E-03 1.1693E-031.55 2.5575E-03 2.1009E-03 2.7643E-03 1.6443E-03 2.7643E-03 1.1878E-03

1.575 2.5453E-03 2.0987E-03 2.7477E-03 1.6521E-03 2.7477E-03 1.2055E-031.6 2.5337E-03 2.0966E-03 2.7317E-03 1.6595E-03 2.7317E-03 1.2224E-03

1.625 2.5225E-03 2.0946E-03 2.7164E-03 1.6666E-03 2.7164E-03 1.2387E-031.65 2.5118E-03 2.0926E-03 2.7018E-03 1.6735E-03 2.7018E-03 1.2543E-03

1.675 2.5015E-03 2.0908E-03 2.6877E-03 1.6800E-03 2.6877E-03 1.2692E-031.7 2.4917E-03 2.0890E-03 2.6742E-03 1.6863E-03 2.6742E-03 1.2836E-03

1.725 2.4822E-03 2.0873E-03 2.6612E-03 1.6923E-03 2.6612E-03 1.2974E-031.75 2.4731E-03 2.0856E-03 2.6486E-03 1.6982E-03 2.6486E-03 1.3107E-03

1.775 2.4643E-03 2.0840E-03 2.6366E-03 1.7038E-03 2.6366E-03 1.3235E-031.8 2.4558E-03 2.0825E-03 2.6250E-03 1.7092E-03 2.6250E-03 1.3358E-03

1.825 2.4477E-03 2.0810E-03 2.6138E-03 1.7144E-03 2.6138E-03 1.3477E-031.85 2.4398E-03 2.0796E-03 2.6030E-03 1.7194E-03 2.6030E-03 1.3592E-03

1.875 2.4322E-03 2.0782E-03 2.5926E-03 1.7242E-03 2.5926E-03 1.3703E-031.9 2.4249E-03 2.0769E-03 2.5825E-03 1.7289E-03 2.5825E-03 1.3810E-03

1.925 2.4178E-03 2.0756E-03 2.5728E-03 1.7335E-03 2.5728E-03 1.3913E-031.95 2.4109E-03 2.0744E-03 2.5634E-03 1.7378E-03 2.5634E-03 1.4013E-03

1.975 2.4042E-03 2.0732E-03 2.5543E-03 1.7421E-03 2.5543E-03 1.4110E-032.0 2.3978E-03 2.0720E-03 2.5455E-03 1.7462E-03 2.5455E-03 1.4204E-032.5 2.3018E-03 2.0546E-03 2.4138E-03 1.8074E-03 2.4138E-03 1.5603E-033.0 2.2431E-03 2.0440E-03 2.3333E-03 1.8449E-03 2.3333E-03 1.6458E-033.5 2.2035E-03 2.0368E-03 2.2791E-03 1.8701E-03 2.2791E-03 1.7034E-034.0 2.1750E-03 2.0317E-03 2.2400E-03 1.8883E-03 2.2400E-03 1.7450E-03

Steel Stress fsi- Mux casexu/D fs1 fs2 fs3 fs4 fs5 fs60.1 112.2722 360.9000 358.2750 360.9000 358.2750 360.9000

0.125 50.5225 360.9000 358.2750 360.9000 358.2750 360.90000.15 159.0523 360.9000 358.2750 360.9000 358.2750 360.9000

0.175 236.5736 360.9000 358.2750 360.9000 358.2750 360.90000.2 291.5421 353.9875 358.2750 360.9000 358.2750 360.9000

0.225 310.7916 338.2694 358.2750 360.9000 358.2750 360.90000.25 322.0538 311.5683 358.2750 360.9000 358.2750 360.9000

0.275 328.6071 247.5092 358.2750 360.9000 358.2750 360.90000.3 333.1265 168.4083 358.2750 360.9000 358.2750 360.9000

0.325 336.9507 101.4768 358.2750 356.2019 358.2750 360.90000.35 340.2286 44.1069 358.2750 351.9750 358.2750 360.9000

0.375 342.9886 5.6136 358.2750 341.0122 358.2750 360.90000.4 344.7286 49.1191 358.2750 327.5551 358.2750 360.9000

0.425 346.2639 87.5063 358.2750 309.3067 358.2750 360.72500.45 347.6286 121.6282 358.2750 277.5619 358.2750 357.1861

0.475 348.8496 152.1584 358.2750 226.0217 358.2750 354.01970.5 349.9486 179.6356 358.2750 179.6356 358.2750 349.9486

0.525 350.9429 204.4958 358.2750 137.6671 358.2750 342.18780.55 351.8159 227.0961 358.2750 99.5140 358.2750 332.3473

0.575 352.0967 247.7311 358.2750 64.6786 358.2750 322.35770.6 352.3542 266.6465 358.2750 32.7461 358.2750 308.3644

0.625 352.5910 284.0487 358.2750 3.3682 358.2750 289.6853

0.65 352.8096 294.0927 358.2750 23.7499 358.2750 252.61250.675 353.0120 301.1211 358.2750 48.8592 358.2750 217.2675

0.7 353.2000 307.3241 358.2750 72.1750 358.2750 184.44720.725 353.3750 311.3272 358.2750 93.8828 358.2750 153.89040.75 353.5383 315.0634 358.2750 114.1434 358.2750 125.3706

0.775 353.6911 318.5586 358.2750 133.0969 358.2750 98.69090.8 353.8344 321.8353 358.2750 150.8658 358.2750 73.6786

0.825 353.9689 324.8668 358.2750 167.5578 358.2750 50.18230.85 354.0956 326.5719 358.2750 183.2679 358.2750 28.0681

0.875 354.2150 328.1796 358.2750 198.0803 358.2750 7.21750.9 354.3278 329.6980 358.2750 212.0698 358.2750 12.4747

0.925 354.4345 331.1343 358.2750 225.3030 358.2750 31.10240.95 354.5355 332.4950 358.2750 237.8398 358.2750 48.7498

0.975 354.6314 333.7859 358.2750 249.7337 358.2750 65.49211 354.7225 335.0122 358.2750 261.0329 358.2750 81.3974

1.025 354.3213 334.7074 357.7249 266.8986 357.7249 94.79271.05 353.9523 334.4270 357.2190 272.2924 357.2190 107.1103

1.075 353.6119 334.1684 356.7522 277.2690 356.7522 118.47511.1 353.2968 333.9290 356.3202 281.8749 356.3202 128.9936

1.125 353.0044 333.7068 355.9192 286.1502 355.9192 138.75701.15 352.7322 333.4999 355.5460 289.3754 355.5460 147.8436

1.175 352.4782 333.3070 355.1978 291.1296 355.1978 156.32161.2 352.2407 333.1265 354.8722 292.7702 354.8722 164.2501

1.225 352.0182 332.9574 354.5670 294.3077 354.5670 171.68081.25 351.8091 332.7986 354.2804 295.7517 354.2804 178.6593

1.275 351.2488 332.6491 354.0108 297.1104 354.0108 185.22551.3 350.7040 332.5083 353.7566 298.3911 353.7566 191.4149

1.325 350.1895 332.3753 353.5165 299.6004 353.5165 197.25921.35 349.7030 332.2495 353.2895 300.7441 353.2895 202.7863

1.375 349.2422 332.1303 353.0745 301.8273 353.0745 208.02141.4 348.8050 332.0173 352.8706 302.8548 352.8706 212.9870

1.425 348.3899 331.9099 352.6769 303.8307 352.6769 217.70351.45 347.9950 331.8078 352.4927 304.7589 352.4927 222.1891

1.475 347.6190 331.7106 352.3172 305.6427 352.3172 226.46041.5 347.2606 331.6180 352.1500 306.4853 352.1500 230.5323

1.525 346.9185 331.5295 351.9904 307.0883 351.9904 234.41851.55 346.5916 331.4450 351.8379 307.5945 351.8379 238.1315

1.575 346.2790 331.3642 351.4828 308.0785 351.4828 241.68261.6 345.9798 331.2868 351.0725 308.5420 351.0725 245.0820

1.625 345.6930 331.2127 350.6793 308.9860 350.6793 248.33951.65 345.4180 331.1416 350.3023 309.4119 350.3023 251.4635

1.675 345.1541 331.0733 349.9403 309.8207 349.9403 254.46231.7 344.9005 331.0078 349.5926 310.2134 349.5926 257.3431

1.725 344.6567 330.9447 349.2583 310.5910 349.2583 260.1128

1.75 344.4221 330.8841 348.9367 310.9543 348.9367 262.77771.775 344.1962 330.8257 348.6270 311.3041 348.6270 265.3436

1.8 343.9786 330.7694 348.3286 311.6411 348.3286 267.81601.825 343.7687 330.7151 348.0408 311.9661 348.0408 270.19991.85 343.5663 330.6628 347.7632 312.2796 347.7632 272.4999

1.875 343.3708 330.6122 347.4952 312.5823 347.4952 274.72041.9 343.1820 330.5634 347.2363 312.8747 347.2363 276.8655

1.925 342.9995 330.5162 346.9861 313.1574 346.9861 278.93891.95 342.8229 330.4706 346.7441 313.4307 346.7441 280.9441

1.975 342.5888 330.4264 346.5099 313.6952 346.5099 282.88452 342.3525 330.3837 346.2831 313.9513 346.2831 284.7632

2.5 338.8251 329.7452 342.8975 317.7752 342.8975 300.09463.0 336.6694 329.3551 339.9837 320.1120 339.9837 307.68483.5 335.2156 329.0920 337.9903 321.6880 337.9903 311.28384.0 334.1688 328.9025 336.5551 322.8227 336.5551 313.8751

STRESS - STRAIN RELATIONSHIP OF STEEL BARSStress Mild Steel bars Cold Worked bars

Level

Strain Strain Strain

0.00087 174.000 0.00144 288.7 0.00174 347.8

0.00092 184.875 0.00163 306.7 0.00195 369.6

0.00098 195.750 0.00192 324.8 0.00226 391.3

0.00103 206.625 0.00241 342.8 0.00277 413.0

0.00106 212.062 0.00276 351.8 0.00312 423.9

0.00109 217.500 0.00380 360.9 0.00417 434.8

Concrete Stress fci - Mux casexu/D fc1 fc2 fc3 fc4 fc5 fc60.1 0.00000 0.00000 11.15000 0.00000 11.15000 0.00000

0.125 11.15000 0.00000 11.15000 0.00000 11.15000 0.000000.15 11.15000 0.00000 11.15000 0.00000 11.15000 0.00000

0.175 11.15000 0.00000 11.15000 0.00000 11.15000 0.000000.2 11.15000 0.00000 11.15000 0.00000 11.15000 0.00000

0.225 11.15000 0.00000 11.15000 0.00000 11.15000 0.000000.25 11.15000 0.00000 11.15000 0.00000 11.15000 0.00000

0.275 11.15000 0.00000 11.15000 0.00000 11.15000 0.000000.3 11.15000 0.00000 11.15000 0.00000 11.15000 0.00000

0.325 11.15000 0.00000 11.15000 0.00000 11.15000 0.000000.35 11.15000 0.00000 11.15000 0.00000 11.15000 0.00000

0.375 11.15000 11.15000 11.15000 0.00000 11.15000 0.000000.4 11.15000 11.15000 11.15000 0.00000 11.15000 0.00000

0.425 11.15000 11.15000 11.15000 0.00000 11.15000 0.00000

fy = 250 N/mm2 fy = 415 N/mm2 fy = 500 N/mm2

Stress N/mm2 Stress N/mm2 Stress N/mm2

0.80 fyd

0.85 fyd

0.90 fyd

0.95 fyd

0.975 fyd

1.0 fyd

Note: 1.0 fyd = 0.87 fy, Linear interpolation may be done for intermediate values.

0.45 11.15000 11.15000 11.15000 0.00000 11.15000 0.000000.475 11.15000 11.15000 11.15000 0.00000 11.15000 0.00000

0.5 11.15000 11.15000 11.15000 0.00000 11.15000 0.000000.525 11.15000 11.15000 11.15000 0.00000 11.15000 0.000000.55 11.15000 11.15000 11.15000 0.00000 11.15000 0.00000

0.575 11.15000 11.15000 11.15000 0.00000 11.15000 0.000000.6 11.15000 11.15000 11.15000 0.00000 11.15000 0.00000

0.625 11.15000 11.15000 11.15000 0.00000 11.15000 0.000000.65 11.15000 11.15000 11.15000 2.10555 11.15000 0.00000

0.675 11.15000 11.15000 11.15000 3.84757 11.15000 0.000000.7 11.15000 11.15000 11.15000 5.13080 11.15000 0.00000

0.725 11.15000 11.15000 11.15000 6.10328 11.15000 0.000000.75 11.15000 11.15000 11.15000 6.85779 11.15000 0.00000

0.775 11.15000 11.15000 11.15000 7.45493 11.15000 0.000000.8 11.15000 11.15000 11.15000 7.93561 11.15000 0.00000

0.825 11.15000 11.15000 11.15000 8.32824 11.15000 0.000000.85 11.15000 11.15000 11.15000 8.65310 11.15000 0.00000

0.875 11.15000 11.15000 11.15000 8.92492 11.15000 0.000000.9 11.15000 11.15000 11.15000 9.15466 11.15000 0.74400

0.925 11.15000 11.15000 11.15000 9.35057 11.15000 1.765700.95 11.15000 11.15000 11.15000 9.51898 11.15000 2.64399

0.975 11.15000 11.15000 11.15000 9.66481 11.15000 3.404521 11.15000 11.15000 11.15000 9.79192 11.15000 4.06742

1.025 11.15000 11.15000 11.15000 9.90338 11.15000 4.648731.05 11.15000 11.15000 11.15000 10.00167 11.15000 5.16129

1.075 11.15000 11.15000 11.15000 10.08877 11.15000 5.615551.1 11.15000 11.15000 11.15000 10.16633 11.15000 6.02002

1.125 11.15000 11.15000 11.15000 10.23568 11.15000 6.381711.15 11.15000 11.15000 11.15000 10.29795 11.15000 6.70646

1.175 11.15000 11.15000 11.15000 10.35407 11.15000 6.999131.2 11.15000 11.15000 11.15000 10.40483 11.15000 7.26381

1.225 11.15000 11.15000 11.15000 10.45087 11.15000 7.503961.25 11.15000 11.15000 11.15000 10.49278 11.15000 7.72251

1.275 11.15000 11.15000 11.15000 10.53103 11.15000 7.921991.3 11.15000 11.15000 11.15000 10.56604 11.15000 8.10455

1.325 11.15000 11.15000 11.15000 10.59815 11.15000 8.272041.35 11.15000 11.15000 11.15000 10.62769 11.15000 8.42609

1.375 11.15000 11.15000 11.15000 10.65492 11.15000 8.568101.4 11.15000 11.15000 11.15000 10.68008 11.15000 8.69928

1.425 11.15000 11.15000 11.15000 10.70336 11.15000 8.820711.45 11.15000 11.15000 11.15000 10.72496 11.15000 8.93334

1.475 11.15000 11.15000 11.15000 10.74502 11.15000 9.037991.5 11.15000 11.15000 11.15000 10.76370 11.15000 9.13540

1.525 11.15000 11.15000 11.15000 10.78112 11.15000 9.22622

1.55 11.15000 11.15000 11.15000 10.79738 11.15000 9.311041.575 11.15000 11.15000 11.15000 10.81259 11.15000 9.39037

1.6 11.15000 11.15000 11.15000 10.82684 11.15000 9.464671.625 11.15000 11.15000 11.15000 10.84020 11.15000 9.534371.65 11.15000 11.15000 11.15000 10.85276 11.15000 9.59983

1.675 11.15000 11.15000 11.15000 10.86456 11.15000 9.661391.7 11.15000 11.15000 11.15000 10.87567 11.15000 9.71936

1.725 11.15000 11.15000 11.15000 10.88615 11.15000 9.774001.75 11.15000 11.15000 11.15000 10.89604 11.15000 9.82557

1.775 11.15000 11.15000 11.15000 10.90539 11.15000 9.874301.8 11.15000 11.15000 11.15000 10.91422 11.15000 9.92039

1.825 11.15000 11.15000 11.15000 10.92259 11.15000 9.964021.85 11.15000 11.15000 11.15000 10.93052 11.15000 10.00537

1.875 11.15000 11.15000 11.15000 10.93804 11.15000 10.044591.9 11.15000 11.15000 11.15000 10.94518 11.15000 10.08184

1.925 11.15000 11.15000 11.15000 10.95197 11.15000 10.117231.95 11.15000 11.15000 11.15000 10.95842 11.15000 10.15089

1.975 11.15000 11.15000 11.15000 10.96457 11.15000 10.182932 11.15000 11.15000 11.15000 10.97042 11.15000 10.21346

2.5 11.15000 11.15000 11.15000 11.04665 11.15000 10.611023.0 11.15000 11.15000 11.15000 11.08293 11.15000 10.800243.5 11.15000 11.15000 11.15000 11.10299 11.15000 10.904854.0 11.15000 11.15000 11.15000 11.11523 11.15000 10.96869

xu/D Area Factor C1 Dist. Factor C20.1 0.36104762 0.41596639

0.125 0.36104762 0.415966390.15 0.36104762 0.41596639

0.175 0.36104762 0.415966390.2 0.36104762 0.41596639

0.225 0.36104762 0.415966390.25 0.36104762 0.41596639

0.275 0.36104762 0.415966390.3 0.36104762 0.41596639

0.325 0.36104762 0.415966390.35 0.36104762 0.41596639

0.375 0.36104762 0.415966390.4 0.36104762 0.41596639

0.425 0.36104762 0.415966390.45 0.36104762 0.41596639

0.475 0.36104762 0.41596639

0.5 0.36104762 0.415966390.525 0.36104762 0.415966390.55 0.36104762 0.41596639

0.575 0.36104762 0.415966390.6 0.36104762 0.41596639

0.625 0.36104762 0.415966390.65 0.36104762 0.41596639

0.675 0.36104762 0.415966390.7 0.36104762 0.41596639

0.725 0.36104762 0.415966390.75 0.36104762 0.41596639

0.775 0.36104762 0.415966390.8 0.36104762 0.41596639

0.825 0.36104762 0.415966390.85 0.36104762 0.41596639

0.875 0.36104762 0.415966390.9 0.36104762 0.41596639

0.925 0.36104762 0.415966390.95 0.36104762 0.41596639

0.975 0.36104762 0.415966391 0.36104762 0.41596639

1.025 0.36802012 0.42432491.05 0.37416815 0.43143663

1.075 0.37961677 0.437546761.1 0.38446817 0.44284142

1.125 0.38880655 0.447464281.15 0.39270177 0.45152789

1.175 0.3962122 0.455121631.2 0.3993869 0.45831727

1.225 0.40226735 0.461173081.25 0.40488883 0.46373681

1.275 0.40728147 0.466047941.3 0.40947116 0.46813936

1.325 0.41148022 0.470038671.35 0.41332797 0.47176919

1.375 0.41503124 0.473350751.4 0.41660471 0.47480029

1.425 0.41806124 0.476132381.45 0.41941214 0.47735958

1.475 0.42066737 0.478492821.5 0.42183577 0.4795416

1.525 0.42292516 0.480514251.55 0.4239425 0.48141805

1.575 0.42489402 0.48225946

1.6 0.42578528 0.483044171.625 0.42662124 0.483777221.65 0.42740641 0.4844631

1.675 0.4281448 0.485105841.7 0.42884007 0.48570902

1.725 0.4294955 0.486275841.75 0.43011409 0.48680922

1.775 0.43069854 0.487311761.8 0.43125132 0.48778581

1.825 0.43177468 0.488233511.85 0.43227067 0.4886568

1.875 0.43274116 0.489057431.9 0.43318788 0.48943701

1.925 0.43361239 0.4897971.95 0.43401615 0.49013874

1.975 0.43440049 0.490463452 0.43476663 0.49077225

2.5 0.43953513 0.494746993.0 0.44180482 0.496608733.5 0.44305952 0.497629734.0 0.44382522 0.49824997

pi(fsi-fci)/(fck) - Mux casexu/D y1 y2 y3 y4 y5 y60.1 -0.0282171 -0.045352 0 -0.045352 0 -0.0907041

0.125 0.00989539 -0.045352 0 -0.045352 0 -0.09070410.15 0.03717191 -0.045352 0 -0.045352 0 -0.0907041

0.175 0.05665513 -0.045352 0 -0.045352 0 -0.09070410.2 0.07047022 -0.0444834 0 -0.045352 0 -0.0907041

0.225 0.07530814 -0.0425082 0 -0.045352 0 -0.09070410.25 0.07813865 -0.0391528 0 -0.045352 0 -0.0907041

0.275 0.07978566 -0.0311029 0 -0.045352 0 -0.09070410.3 0.08092153 -0.0211628 0 -0.045352 0 -0.0907041

0.325 0.08188265 -0.012752 0 -0.0447617 0 -0.09070410.35 0.08270647 -0.0055426 0 -0.0442305 0 -0.0907041

0.375 0.08340013 -0.0006957 0 -0.0428529 0 -0.09070410.4 0.08383744 0.00477134 0 -0.0411618 0 -0.0907041

0.425 0.0842233 0.00959521 0 -0.0388686 0 -0.0906601

0.45 0.08456629 0.01388311 0 -0.0348795 0 -0.08977070.475 0.08487317 0.01771964 0 -0.0284027 0 -0.0889749

0.5 0.08514937 0.02117252 0 -0.0225737 0 -0.08795170.525 0.08539926 0.02429655 0 -0.0172998 0 -0.08600120.55 0.08561868 0.02713659 0 -0.0125053 0 -0.083528

0.575 0.08568926 0.02972966 0 -0.0081277 0 -0.08101730.6 0.08575396 0.03210664 0 -0.004115 0 -0.0775004

0.625 0.08581348 0.03429346 0 -0.0004233 0 -0.07280580.65 0.08586843 0.03555563 0 0.00271991 0 -0.0634884

0.675 0.0859193 0.03643884 0 0.00565633 0 -0.05460530.7 0.08596654 0.03721834 0 0.00842502 0 -0.0463566

0.725 0.08601052 0.03772138 0 0.0110307 0 -0.03867690.75 0.08605157 0.03819089 0 0.01348191 0 -0.0315091

0.775 0.08608998 0.03863011 0 0.01578864 0 -0.02480370.8 0.08612598 0.03904187 0 0.01796114 0 -0.0185175

0.825 0.0861598 0.03942281 0 0.02000937 0 -0.01261220.85 0.08619163 0.03963709 0 0.02194274 0 -0.0070543

0.875 0.08622164 0.03983911 0 0.02376996 0 -0.0018140.9 0.08624998 0.04002992 0 0.02549906 0 0.00294824

0.925 0.08627679 0.04021041 0 0.02713739 0 0.007373130.95 0.0863022 0.0403814 0 0.02869165 0 0.01158765

0.975 0.08632629 0.04054362 0 0.03016795 0 0.015604321 0.08634919 0.04069773 0 0.03157187 0 0.01943513

1.025 0.08624834 0.04065942 0 0.03229498 0 0.022655661.05 0.08615561 0.04062419 0 0.03296043 0 0.02562258

1.075 0.08607006 0.04059168 0 0.03357485 0 0.02836471.1 0.08599087 0.0405616 0 0.03414391 0 0.03090664

1.125 0.08591737 0.04053368 0 0.03467244 0 0.033269531.15 0.08584896 0.04050769 0 0.0350699 0 0.03547164

1.175 0.08578514 0.04048344 0 0.0352833 0 0.037528831.2 0.08572545 0.04046076 0 0.03548308 0 0.03945496

1.225 0.08566951 0.04043951 0 0.03567051 0 0.041262151.25 0.08561698 0.04041955 0 0.03584669 0 0.04296109

1.275 0.08547616 0.04040077 0 0.03601262 0 0.044561231.3 0.08533922 0.04038307 0 0.03616917 0 0.04607093

1.325 0.08520993 0.04036636 0 0.03631709 0 0.047497641.35 0.08508765 0.04035055 0 0.0364571 0 0.04884804

1.375 0.08497183 0.04033557 0 0.0365898 0 0.050128071.4 0.08486197 0.04032137 0 0.03671576 0 0.05134311

1.425 0.08475762 0.04030788 0 0.03683547 0 0.052497971.45 0.08465838 0.04029505 0 0.03694939 0 0.05359701

1.475 0.08456389 0.04028284 0 0.03705793 0 0.05464421.5 0.0844738 0.04027119 0 0.03716147 0 0.05564311

1.525 0.08438782 0.04026008 0 0.03723506 0 0.056597

1.55 0.08430568 0.04024946 0 0.03729662 0 0.057508861.575 0.08422711 0.0402393 0 0.03735554 0 0.0583814

1.6 0.0841519 0.04022958 0 0.03741199 0 0.05921711.625 0.08407984 0.04022026 0 0.03746611 0 0.060018261.65 0.08401072 0.04021133 0 0.03751805 0 0.06078697

1.675 0.08394438 0.04020275 0 0.03756794 0 0.061525171.7 0.08388064 0.04019451 0 0.03761589 0 0.06223463

1.725 0.08381937 0.04018659 0 0.03766202 0 0.0629171.75 0.08376041 0.04017897 0 0.03770643 0 0.0635738

1.775 0.08370364 0.04017163 0 0.03774921 0 0.064206451.8 0.08364894 0.04016456 0 0.03779045 0 0.06481625

1.825 0.0835962 0.04015774 0 0.03783024 0 0.065404411.85 0.08354532 0.04015116 0 0.03786864 0 0.06597208

1.875 0.08349619 0.04014481 0 0.03790574 0 0.066520291.9 0.08344874 0.04013867 0 0.03794159 0 0.06705004

1.925 0.08340286 0.04013274 0 0.03797625 0 0.067562251.95 0.0833585 0.04012701 0 0.03800979 0 0.06805776

1.975 0.08329964 0.04012146 0 0.03804226 0 0.068537382 0.08324027 0.04011609 0 0.03807371 0 0.06900187

2.5 0.08235372 0.04003586 0 0.03854465 0 0.072755153.0 0.08181195 0.03998683 0 0.03883374 0 0.074615223.5 0.08144656 0.03995377 0 0.03902927 0 0.075493464.0 0.08118348 0.03992996 0 0.03917032 0 0.07612868

pi(fsi-fci)*y/(fck*D)xu/D y1 y2 y3 y4 y5 y60.1 -0.0108354 -0.0058051 0 0.00580506 0 0.03483036

0.125 0.00379983 -0.0058051 0 0.00580506 0 0.034830360.15 0.01427401 -0.0058051 0 0.00580506 0 0.03483036

0.175 0.02175557 -0.0058051 0 0.00580506 0 0.034830360.2 0.02706057 -0.0056939 0 0.00580506 0 0.03483036

0.225 0.02891833 -0.005441 0 0.00580506 0 0.034830360.25 0.03000524 -0.0050116 0 0.00580506 0 0.03483036

0.275 0.03063769 -0.0039812 0 0.00580506 0 0.034830360.3 0.03107387 -0.0027088 0 0.00580506 0 0.03483036

0.325 0.03144294 -0.0016322 0 0.00572949 0 0.034830360.35 0.03175928 -0.0007095 0 0.0056615 0 0.03483036

0.375 0.03202565 -8.9053E-05 0 0.00548517 0 0.03483036

0.4 0.03219358 0.00061073 0 0.00526871 0 0.034830360.425 0.03234175 0.00122819 0 0.00497518 0 0.034813470.45 0.03247345 0.00177704 0 0.00446457 0 0.03447193

0.475 0.0325913 0.00226811 0 0.00363555 0 0.034166350.5 0.03269736 0.00271008 0 0.00288943 0 0.03377344

0.525 0.03279332 0.00310996 0 0.00221437 0 0.033024450.55 0.03287757 0.00347348 0 0.00160068 0 0.03207475

0.575 0.03290468 0.0038054 0 0.00104035 0 0.031110660.6 0.03292952 0.00410965 0 0.00052672 0 0.02976016

0.625 0.03295238 0.00438956 0 5.4177E-05 0 0.027957450.65 0.03297348 0.00455112 0 -0.0003481 0 0.02437956

0.675 0.03299301 0.00466417 0 -0.000724 0 0.020968430.7 0.03301115 0.00476395 0 -0.0010784 0 0.01780095

0.725 0.03302804 0.00482834 0 -0.0014119 0 0.014851920.75 0.0330438 0.00488843 0 -0.0017257 0 0.01209949

0.775 0.03305855 0.00494465 0 -0.0020209 0 0.009524630.8 0.03307238 0.00499736 0 -0.002299 0 0.00711071

0.825 0.03308536 0.00504612 0 -0.0025612 0 0.004843080.85 0.03309758 0.00507355 0 -0.0028087 0 0.00270884

0.875 0.03310911 0.00509941 0 -0.0030426 0 0.000696560.9 0.03311999 0.00512383 0 -0.0032639 0 -0.0011321

0.925 0.03313029 0.00514693 0 -0.0034736 0 -0.00283130.95 0.03314004 0.00516882 0 -0.0036725 0 -0.0044497

0.975 0.0331493 0.00518958 0 -0.0038615 0 -0.00599211 0.03315809 0.00520931 0 -0.0040412 0 -0.0074631

1.025 0.03311936 0.00520441 0 -0.0041338 0 -0.00869981.05 0.03308376 0.0051999 0 -0.0042189 0 -0.0098391

1.075 0.0330509 0.00519574 0 -0.0042976 0 -0.0108921.1 0.03302049 0.00519188 0 -0.0043704 0 -0.0118681

1.125 0.03299227 0.00518831 0 -0.0044381 0 -0.01277551.15 0.032966 0.00518498 0 -0.0044889 0 -0.0136211

1.175 0.03294149 0.00518188 0 -0.0045163 0 -0.01441111.2 0.03291857 0.00517898 0 -0.0045418 0 -0.0151507

1.225 0.03289709 0.00517626 0 -0.0045658 0 -0.01584471.25 0.03287692 0.0051737 0 -0.0045884 0 -0.0164971

1.275 0.03282284 0.0051713 0 -0.0046096 0 -0.01711151.3 0.03277026 0.00516903 0 -0.0046297 0 -0.0176912

1.325 0.03272061 0.00516689 0 -0.0046486 0 -0.01823911.35 0.03267366 0.00516487 0 -0.0046665 0 -0.0187576

1.375 0.03262918 0.00516295 0 -0.0046835 0 -0.01924921.4 0.032587 0.00516114 0 -0.0046996 0 -0.0197158

1.425 0.03254693 0.00515941 0 -0.0047149 0 -0.02015921.45 0.03250882 0.00515777 0 -0.0047295 0 -0.0205813

1.475 0.03247253 0.0051562 0 -0.0047434 0 -0.0209834

1.5 0.03243794 0.00515471 0 -0.0047567 0 -0.0213671.525 0.03240492 0.00515329 0 -0.0047661 0 -0.02173321.55 0.03237338 0.00515193 0 -0.004774 0 -0.0220834

1.575 0.03234321 0.00515063 0 -0.0047815 0 -0.02241851.6 0.03231433 0.00514939 0 -0.0047887 0 -0.0227394

1.625 0.03228666 0.00514819 0 -0.0047957 0 -0.0230471.65 0.03226012 0.00514705 0 -0.0048023 0 -0.0233422

1.675 0.03223464 0.00514595 0 -0.0048087 0 -0.02362571.7 0.03221017 0.0051449 0 -0.0048148 0 -0.0238981

1.725 0.03218664 0.00514388 0 -0.0048207 0 -0.02416011.75 0.032164 0.00514291 0 -0.0048264 0 -0.0244123

1.775 0.0321422 0.00514197 0 -0.0048319 0 -0.02465531.8 0.03212119 0.00514106 0 -0.0048372 0 -0.0248894

1.825 0.03210094 0.00514019 0 -0.0048423 0 -0.02511531.85 0.0320814 0.00513935 0 -0.0048472 0 -0.0253333

1.875 0.03206254 0.00513854 0 -0.0048519 0 -0.02554381.9 0.03204431 0.00513775 0 -0.0048565 0 -0.0257472

1.925 0.0320267 0.00513699 0 -0.004861 0 -0.02594391.95 0.03200966 0.00513626 0 -0.0048653 0 -0.0261342

1.975 0.03198706 0.00513555 0 -0.0048694 0 -0.02631842 0.03196426 0.00513486 0 -0.0048734 0 -0.0264967

2.5 0.03162383 0.00512459 0 -0.0049337 0 -0.0279383.0 0.03141579 0.00511831 0 -0.0049707 0 -0.02865223.5 0.03127548 0.00511408 0 -0.0049957 0 -0.02898954.0 0.03117446 0.00511103 0 -0.0050138 0 -0.0292334

Pu & Mux casexu/D Pu (kN) Mux (kN.m) fs6

0 -1361.13 0 -867.6 101.36 360.9000.1 -867.6 101.36 -631.9 147.12 360.900 360.900

0.125 -631.9 147.12 -450.39 182 360.900 360.9000.15 -450.39 182 -307.84 208.94 360.900 360.900

0.175 -307.84 208.94 -189.29 230.24 360.900 360.9000.2 -189.29 230.24 -110.1 242.81 360.900 360.900

0.225 -110.1 242.81 -34.04 253.43 360.900 360.9000.25 -34.04 253.43 59.57 263.94 360.900 360.900

0.275 59.57 263.94 160.08 274.1 360.900 360.9000.3 160.08 274.1 255.02 282.94 360.900 360.900

0.325 255.02 282.94 342.97 290.81 360.900 360.900

0.35 342.97 290.81 422.7 297.07 360.900 360.9000.375 422.7 297.07 505.8 302.7 360.900 360.900

0.4 505.8 302.7 588.67 307.38 360.900 360.7250.425 588.67 307.38 681.35 310.02 360.725 357.1860.45 681.35 310.02 783.56 311.31 357.186 354.020

0.475 783.56 311.31 881.6 311.96 354.020 349.9490.5 881.6 311.96 979.72 311.3 349.949 342.188

0.525 979.72 311.3 1076.49 309.71 342.188 332.3470.55 1076.49 309.71 1169.38 307.51 332.347 322.358

0.575 1169.38 307.51 1264.36 303.93 322.358 308.3640.6 1264.36 303.93 1362.66 298.78 308.364 289.685

0.625 1362.66 298.78 1476.68 288.6 289.685 252.6120.65 1476.68 288.6 1585.58 278.31 252.612 217.268

0.675 1585.58 278.31 1689.93 268.18 217.268 184.4470.7 1689.93 268.18 1789.22 258.08 184.447 153.890

0.725 1789.22 258.08 1885 248.05 153.890 125.3710.75 1885 248.05 1977.58 238.02 125.371 98.691

0.775 1977.58 238.02 2067.24 227.95 98.691 73.6790.8 2067.24 227.95 2154.22 217.81 73.679 50.182

0.825 2154.22 217.81 2238.03 207.52 50.182 28.0680.85 2238.03 207.52 2319.66 197.09 28.068 7.217

0.875 2319.66 197.09 2398.35 186.67 7.217 12.4750.9 2398.35 186.67 2474.83 176.13 12.475 31.102

0.925 2474.83 176.13 2549.79 165.35 31.102 48.7500.95 2549.79 165.35 2623.31 154.31 48.750 65.492

0.975 2623.31 154.31 2695.5 143 65.492 81.3971 2695.5 143 2749.39 133.35 81.397 0.000

1.025 2749.39 133.35 2797.65 124.69 0.000 0.0001.05 2797.65 124.69 2841.09 116.91 0.000 0.000

1.075 2841.09 116.91 2880.35 109.87 0.000 0.0001.1 2880.35 109.87 2915.99 103.48 0.000 0.000

1.125 2915.99 103.48 2947.99 97.69 0.000 0.0001.15 2947.99 97.69 2976.46 92.44 0.000 0.000

1.175 2976.46 92.44 3002.55 87.63 0.000 0.0001.2 3002.55 87.63 3026.54 83.2 0.000 0.000

1.225 3026.54 83.2 3048.66 79.11 0.000 0.0001.25 3048.66 79.11 3068.66 75.25 0.000 0.000

1.275 3068.66 75.25 3087.16 71.66 0.000 0.0001.3 3087.16 71.66 3104.35 68.32 0.000 0.000

1.325 3104.35 68.32 3120.35 65.2 0.000 0.0001.35 3120.35 65.2 3135.28 62.29 0.000 0.000

1.375 3135.28 62.29 3149.23 59.57 0.000 0.0001.4 3149.23 59.57 3162.3 57.02 0.000 0.000

1.425 3162.3 57.02 3174.55 54.62 0.000 0.000

1.45 3174.55 54.62 3186.08 52.37 0.000 0.0001.475 3186.08 52.37 3196.92 50.24 0.000 0.000

1.5 3196.92 50.24 3207.02 48.24 0.000 0.0001.525 3207.02 48.24 3216.51 46.36 0.000 0.0001.55 3216.51 46.36 3225.48 44.57 0.000 0.000

1.575 3225.48 44.57 3233.97 42.88 0.000 0.0001.6 3233.97 42.88 3242.02 41.28 0.000 0.000

1.625 3242.02 41.28 3249.66 39.75 0.000 0.0001.65 3249.66 39.75 3256.92 38.3 0.000 0.000

1.675 3256.92 38.3 3263.82 36.92 0.000 0.0001.7 3263.82 36.92 3270.4 35.61 0.000 0.000

1.725 3270.4 35.61 3276.66 34.35 0.000 0.0001.75 3276.66 34.35 3282.64 33.15 0.000 0.000

1.775 3282.64 33.15 3288.35 32 0.000 0.0001.8 3288.35 32 3293.81 30.91 0.000 0.000

1.825 3293.81 30.91 3299.03 29.85 0.000 0.0001.85 3299.03 29.85 3304.04 28.85 0.000 0.000

1.875 3304.04 28.85 3308.83 27.88 0.000 0.0001.9 3308.83 27.88 3313.43 26.95 0.000 0.000

1.925 3313.43 26.95 3317.84 26.06 0.000 0.0001.95 3317.84 26.06 3322 25.19 0.000 0.000

1.975 3322 25.19 3325.99 24.35 0.000 0.0002 3325.99 24.35 3366.12 15.46 0.000 0.000

2.5 3366.12 15.46 3385.26 11.02 0.000 0.0003.0 3385.26 11.02 3394.91 8.63 0.000 0.0003.5 3394.91 8.63 3401.18 7.03 0.000 0.0004.0 3401.18 7.03 3423.38 0 0.000 0

3423.38 0

Braced 15 240Unbraced 20 250

25 41530 5003540

fck=M25, fy=415, b =400mm, D =500mm, p=1.885% 4550

Position of reinforcement - Muy case BIAXCOLUMN.xls

Ast Muy case

1 1257 58 142 68 68 4322 628 152.66667 47.333333 152.666667 68 4323 0 0 200 #N/A #N/A #N/A4 628 247.33333 -47.333333 247.333333 68 4325 0 0 200 #N/A #N/A #N/A6 1257 342 -142 332 68 432

3770

fck=M25, fy=415, b =400mm, D =500mm, p=1.885%

Steel Strain - Muy casefy= 415 N/mm2 Es= 200000 N/mm2b = 400 mm D= 500 mm fck =25

xu/b es1 es2 es3 es4 es5 es60.1 1.5750E-03 ### ### 1.8142E-02 3.5000E-03 2.6425E-02

0.125 5.6000E-04 ### ### 1.3813E-02 3.5000E-03 2.0440E-020.15 1.1667E-04 ### ### 1.0928E-02 3.5000E-03 1.6450E-02

0.175 6.0000E-04 ### ### 8.8667E-03 3.5000E-03 1.3600E-020.2 9.6250E-04 ### ### 7.3208E-03 3.5000E-03 1.1463E-02

0.225 1.2444E-03 ### ### 6.1185E-03 3.5000E-03 9.8000E-030.25 1.4700E-03 ### ### 5.1567E-03 3.5000E-03 8.4700E-03

0.275 1.6545E-03 ### ### 4.3697E-03 3.5000E-03 7.3818E-030.3 1.8083E-03 ### ### 3.7139E-03 3.5000E-03 6.4750E-03

0.325 1.9385E-03 ### ### 3.1590E-03 3.5000E-03 5.7077E-030.35 2.0500E-03 ### ### 2.6833E-03 3.5000E-03 5.0500E-03

0.375 2.1467E-03 ### ### 2.2711E-03 3.5000E-03 4.4800E-030.4 2.2313E-03 ### ### 1.9104E-03 3.5000E-03 3.9812E-03

0.425 2.3059E-03 ### ### 1.5922E-03 3.5000E-03 3.5412E-030.45 2.3722E-03 ### ### 1.3093E-03 3.5000E-03 3.1500E-03

0.475 2.4316E-03 ### ### 1.0561E-03 3.5000E-03 2.8000E-030.5 2.4850E-03 ### ### 8.2833E-04 3.5000E-03 2.4850E-03

0.525 2.5333E-03 ### ### 6.2222E-04 3.5000E-03 2.2000E-030.55 2.5773E-03 ### ### 4.3485E-04 3.5000E-03 1.9409E-03

Row1-6

(mm2) b1-6 x1-6

Total Ast =

0.575 2.6174E-03 ### ### 2.6377E-04 3.5000E-03 1.7043E-030.6 2.6542E-03 ### ### 1.0694E-04 3.5000E-03 1.4875E-03

0.625 2.6880E-03 ### ### 3.7333E-05 3.5000E-03 1.2880E-030.65 2.7192E-03 ### ### 1.7051E-04 3.5000E-03 1.1038E-03

0.675 2.7481E-03 ### ### 2.9383E-04 3.5000E-03 9.3333E-040.7 2.7750E-03 ### ### 4.0833E-04 3.5000E-03 7.7500E-04

0.725 2.8000E-03 ### ### 5.1494E-04 3.5000E-03 6.2759E-040.75 2.8233E-03 ### ### 6.1444E-04 3.5000E-03 4.9000E-04

0.775 2.8452E-03 ### ### 7.0753E-04 3.5000E-03 3.6129E-040.8 2.8656E-03 ### ### 7.9479E-04 3.5000E-03 2.4062E-04

0.825 2.8848E-03 ### ### 8.7677E-04 3.5000E-03 1.2727E-040.85 2.9029E-03 ### ### 9.5392E-04 3.5000E-03 2.0588E-05

0.875 2.9200E-03 ### ### 1.0267E-03 3.5000E-03 8.0000E-050.9 2.9361E-03 ### ### 1.0954E-03 3.5000E-03 1.7500E-04

0.925 2.9514E-03 ### ### 1.1604E-03 3.5000E-03 2.6486E-040.95 2.9658E-03 ### ### 1.2219E-03 3.5000E-03 3.5000E-04

0.975 2.9795E-03 ### ### 1.2803E-03 3.5000E-03 4.3077E-041 2.9925E-03 ### ### 1.3358E-03 3.5000E-03 5.0750E-04

1.025 2.9509E-03 ### ### 1.3637E-03 3.4371E-03 5.7006E-041.05 2.9126E-03 ### ### 1.3893E-03 3.3793E-03 6.2759E-04

1.075 2.8773E-03 ### ### 1.4129E-03 3.3260E-03 6.8066E-041.1 2.8447E-03 ### ### 1.4348E-03 3.2766E-03 7.2979E-04

1.125 2.8144E-03 ### ### 1.4550E-03 3.2308E-03 7.7538E-041.15 2.7861E-03 ### ### 1.4739E-03 3.1881E-03 8.1782E-04

1.175 2.7598E-03 ### ### 1.4915E-03 3.1483E-03 8.5742E-041.2 2.7352E-03 ### ### 1.5080E-03 3.1111E-03 8.9444E-04

1.225 2.7121E-03 ### ### 1.5235E-03 3.0762E-03 9.2915E-041.25 2.6904E-03 ### ### 1.5380E-03 3.0435E-03 9.6174E-04

1.275 2.6700E-03 ### ### 1.5516E-03 3.0127E-03 9.9241E-041.3 2.6508E-03 ### ### 1.5645E-03 2.9836E-03 1.0213E-03

1.325 2.6327E-03 ### ### 1.5766E-03 2.9562E-03 1.0486E-031.35 2.6155E-03 ### ### 1.5881E-03 2.9302E-03 1.0744E-03

1.375 2.5992E-03 ### ### 1.5990E-03 2.9057E-03 1.0989E-031.4 2.5838E-03 ### ### 1.6093E-03 2.8824E-03 1.1221E-03

1.425 2.5692E-03 ### ### 1.6191E-03 2.8602E-03 1.1441E-031.45 2.5552E-03 ### ### 1.6284E-03 2.8392E-03 1.1650E-03

1.475 2.5420E-03 ### ### 1.6373E-03 2.8191E-03 1.1850E-031.5 2.5293E-03 ### ### 1.6458E-03 2.8000E-03 1.2040E-03

1.525 2.5173E-03 ### ### 1.6539E-03 2.7818E-03 1.2221E-031.55 2.5057E-03 ### ### 1.6616E-03 2.7643E-03 1.2395E-03

1.575 2.4947E-03 ### ### 1.6690E-03 2.7477E-03 1.2561E-031.6 2.4841E-03 ### ### 1.6760E-03 2.7317E-03 1.2720E-03

1.625 2.4740E-03 ### ### 1.6828E-03 2.7164E-03 1.2872E-031.65 2.4643E-03 ### ### 1.6893E-03 2.7018E-03 1.3018E-03

1.675 2.4550E-03 ### ### 1.6955E-03 2.6877E-03 1.3158E-031.7 2.4461E-03 ### ### 1.7015E-03 2.6742E-03 1.3292E-03

1.725 2.4375E-03 ### ### 1.7073E-03 2.6612E-03 1.3421E-031.75 2.4292E-03 ### ### 1.7128E-03 2.6486E-03 1.3546E-03

1.775 2.4212E-03 ### ### 1.7181E-03 2.6366E-03 1.3666E-031.8 2.4135E-03 ### ### 1.7233E-03 2.6250E-03 1.3781E-03

1.825 2.4061E-03 ### ### 1.7282E-03 2.6138E-03 1.3893E-031.85 2.3990E-03 ### ### 1.7330E-03 2.6030E-03 1.4000E-03

1.875 2.3921E-03 ### ### 1.7376E-03 2.5926E-03 1.4104E-031.9 2.3854E-03 ### ### 1.7421E-03 2.5825E-03 1.4204E-03

1.925 2.3790E-03 ### ### 1.7464E-03 2.5728E-03 1.4301E-031.95 2.3728E-03 ### ### 1.7505E-03 2.5634E-03 1.4394E-03

1.975 2.3667E-03 ### ### 1.7546E-03 2.5543E-03 1.4485E-032.0 2.3609E-03 ### ### 1.7585E-03 2.5455E-03 1.4573E-032.5 2.2738E-03 ### ### 1.8168E-03 2.4138E-03 1.5883E-033.0 2.2206E-03 ### ### 1.8524E-03 2.3333E-03 1.6683E-033.5 2.1847E-03 ### ### 1.8764E-03 2.2791E-03 1.7223E-034.0 2.1588E-03 ### ### 1.8937E-03 2.2400E-03 1.7612E-03

Steel Stress fsi- Muy casexu/b fs1 fs2 fs3 fs4 fs5 fs60.1 301.4895 360.9000 358.2750 360.9000 358.2750 360.9000

0.125 112.2722 360.9000 358.2750 360.9000 358.2750 360.90000.15 23.3900 360.9000 358.2750 360.9000 358.2750 360.9000

0.175 120.2917 360.9000 358.2750 360.9000 358.2750 360.90000.2 192.9679 355.4677 358.2750 360.9000 358.2750 360.9000

0.225 249.4938 343.4952 358.2750 360.9000 358.2750 360.90000.25 291.5421 320.0149 358.2750 360.9000 358.2750 360.9000

0.275 308.2320 272.1751 358.2750 360.9000 358.2750 360.90000.3 317.8305 191.0187 358.2750 360.1465 358.2750 360.9000

0.325 325.4782 122.3479 358.2750 355.2910 358.2750 360.90000.35 329.5755 63.4873 358.2750 349.8286 358.2750 360.9000

0.375 333.1265 12.4747 358.2750 337.6980 358.2750 360.90000.4 336.2337 32.1613 358.2750 324.2019 358.2750 360.9000

0.425 338.9753 71.5460 358.2750 303.1149 358.2750 358.63530.45 341.4122 106.5547 358.2750 262.4883 358.2750 355.2125

0.475 343.3549 137.8782 358.2750 211.7415 358.2750 352.15000.5 344.7286 166.0693 358.2750 166.0693 358.2750 344.7286

0.525 345.9714 191.5756 358.2750 124.7469 358.2750 335.08570.55 347.1013 214.7632 358.2750 87.1811 358.2750 325.5681

0.575 348.1329 235.9344 358.2750 52.8818 358.2750 311.34030.6 349.0786 255.3413 358.2750 21.4409 358.2750 293.2000

0.625 349.9486 273.1957 358.2750 7.4848 358.2750 258.2261

0.65 350.7516 289.1615 358.2750 34.1855 358.2750 221.30580.675 351.4952 296.3725 358.2750 58.9083 358.2750 187.1204

0.7 351.9313 303.0684 358.2750 81.8652 358.2750 155.37670.725 352.1500 308.4146 358.2750 103.2388 358.2750 125.82230.75 352.3542 312.2479 358.2750 123.1876 358.2750 98.2382

0.775 352.5452 315.8339 358.2750 141.8493 358.2750 72.43370.8 352.7242 319.1958 358.2750 159.3447 358.2750 48.2420

0.825 352.8924 322.3539 358.2750 175.7797 358.2750 25.51640.85 353.0507 325.1097 358.2750 191.2480 358.2750 4.1277

0.875 353.2000 326.7592 358.2750 205.8324 358.2750 16.03890.9 353.3410 328.3170 358.2750 219.6065 358.2750 35.0851

0.925 353.4743 329.7906 358.2750 232.6361 358.2750 53.10170.95 353.6007 331.1867 358.2750 244.9800 358.2750 70.1701

0.975 353.7205 332.5111 358.2750 256.6908 358.2750 86.36321 353.8344 333.7694 358.2750 267.8160 358.2750 101.7467

1.025 353.4704 333.5166 357.7249 273.3974 357.7249 114.28911.05 353.1356 333.2842 357.2190 278.5297 357.2190 125.8223

1.075 352.8268 333.0697 356.7522 283.2651 356.7522 136.46351.1 352.5410 332.8712 356.3202 287.6478 356.3202 146.3122

1.125 352.2756 332.6870 355.9192 290.1251 355.9192 155.45381.15 352.0287 332.5155 355.5460 291.9142 355.5460 163.9619

1.175 351.7951 332.3555 355.1978 293.5834 355.1978 171.90011.2 351.1619 332.2059 354.8722 295.1444 354.8722 179.3237

1.225 350.5685 332.0657 354.5670 296.6075 354.5670 186.28131.25 350.0112 331.9340 354.2804 297.9815 354.2804 192.8153

1.275 349.4868 331.8101 354.0108 299.2743 354.0108 198.96341.3 348.9925 331.6933 353.7566 300.4929 353.7566 204.7588

1.325 348.5258 331.5830 353.5165 301.6436 353.5165 210.23091.35 348.0844 331.4787 353.2895 302.7318 353.2895 215.4060

1.375 347.6663 331.3799 353.0745 303.7626 353.0745 220.30781.4 347.2697 331.2862 352.8706 304.7402 352.8706 224.9572

1.425 346.8931 331.1972 352.6769 305.6689 352.6769 229.37341.45 346.5349 331.1125 352.4927 306.5520 352.4927 233.5733

1.475 346.1938 331.0319 352.3172 307.1566 352.3172 237.57261.5 345.8686 330.9551 352.1500 307.6848 352.1500 241.3853

1.525 345.5582 330.8818 351.9904 308.1889 351.9904 245.02411.55 345.2617 330.8117 351.8379 308.6705 351.8379 248.5006

1.575 344.9781 330.7447 351.4828 309.1311 351.4828 251.82551.6 344.7066 330.6805 351.0725 309.5720 351.0725 255.0086

1.625 344.4465 330.6191 350.6793 309.9946 350.6793 258.05851.65 344.1970 330.5601 350.3023 310.3998 350.3023 260.9837

1.675 343.9575 330.5035 349.9403 310.7888 349.9403 263.79151.7 343.7274 330.4492 349.5926 311.1625 349.5926 266.4888

1.725 343.5063 330.3969 349.2583 311.5217 349.2583 269.0822

1.75 343.2934 330.3466 348.9367 311.8674 348.9367 271.57741.775 343.0885 330.2982 348.6270 312.2003 348.6270 273.9800

1.8 342.8911 330.2515 348.3286 312.5210 348.3286 276.29491.825 342.6581 330.2065 348.0408 312.8302 348.0408 278.52701.85 342.3957 330.1631 347.7632 313.1285 347.7632 280.6806

1.875 342.1424 330.1212 347.4952 313.4165 347.4952 282.75971.9 341.8977 330.0808 347.2363 313.6948 347.2363 284.7681

1.925 341.6611 330.0416 346.9861 313.9637 346.9861 286.70951.95 341.4324 330.0038 346.7441 314.2238 346.7441 288.5871

1.975 341.2110 329.9672 346.5099 314.4755 346.5099 289.50522 340.9967 329.9317 346.2831 314.7192 346.2831 290.3364

2.5 337.7965 329.4024 342.8975 318.3577 342.8975 302.74723.0 335.8408 329.0789 339.9837 320.5813 339.9837 309.09253.5 334.5219 328.8607 337.9903 322.0809 337.9903 312.46244.0 333.5722 328.7037 336.5551 323.1606 336.5551 314.8887

STRESS - STRAIN RELATIONSHIP OF STEEL BARSStress Mild Steel bars Cold Worked bars

Level

Strain Strain Strain

0.00087 174.000 0.00144 288.7 0.00174 347.8

0.00092 184.875 0.00163 306.7 0.00195 369.6

0.00098 195.750 0.00192 324.8 0.00226 391.3

0.00103 206.625 0.00241 342.8 0.00277 413.0

0.00106 212.062 0.00276 351.8 0.00312 423.9

0.00109 217.500 0.00380 360.9 0.00417 434.8

Concrete Stress fci - Muy casexu/b fc1 fc2 fc3 fc4 fc5 fc60.1 0.00000 0.00000 11.15000 0.00000 11.15000 0.00000

0.125 0.00000 0.00000 11.15000 0.00000 11.15000 0.000000.15 11.15000 0.00000 11.15000 0.00000 11.15000 0.00000

0.175 11.15000 0.00000 11.15000 0.00000 11.15000 0.000000.2 11.15000 0.00000 11.15000 0.00000 11.15000 0.00000

0.225 11.15000 0.00000 11.15000 0.00000 11.15000 0.000000.25 11.15000 0.00000 11.15000 0.00000 11.15000 0.00000

0.275 11.15000 0.00000 11.15000 0.00000 11.15000 0.000000.3 11.15000 0.00000 11.15000 0.00000 11.15000 0.00000

0.325 11.15000 0.00000 11.15000 0.00000 11.15000 0.000000.35 11.15000 0.00000 11.15000 0.00000 11.15000 0.00000

0.375 11.15000 0.00000 11.15000 0.00000 11.15000 0.000000.4 11.15000 11.15000 11.15000 0.00000 11.15000 0.00000

0.425 11.15000 11.15000 11.15000 0.00000 11.15000 0.00000

fy = 250 N/mm2 fy = 415 N/mm2 fy = 500 N/mm2

Stress N/mm2 Stress N/mm2 Stress N/mm2

0.80 fyd

0.85 fyd

0.90 fyd

0.95 fyd

0.975 fyd

1.0 fyd

Note: 1.0 fyd = 0.87 fy, Linear interpolation may be done for intermediate values.

0.45 11.15000 11.15000 11.15000 0.00000 11.15000 0.000000.475 11.15000 11.15000 11.15000 0.00000 11.15000 0.00000

0.5 11.15000 11.15000 11.15000 0.00000 11.15000 0.000000.525 11.15000 11.15000 11.15000 0.00000 11.15000 0.000000.55 11.15000 11.15000 11.15000 0.00000 11.15000 0.00000

0.575 11.15000 11.15000 11.15000 0.00000 11.15000 0.000000.6 11.15000 11.15000 11.15000 0.00000 11.15000 0.00000

0.625 11.15000 11.15000 11.15000 0.74400 11.15000 0.000000.65 11.15000 11.15000 11.15000 2.96110 11.15000 0.00000

0.675 11.15000 11.15000 11.15000 4.53834 11.15000 0.000000.7 11.15000 11.15000 11.15000 5.70018 11.15000 0.00000

0.725 11.15000 11.15000 11.15000 6.58067 11.15000 0.000000.75 11.15000 11.15000 11.15000 7.26381 11.15000 0.00000

0.775 11.15000 11.15000 11.15000 7.80447 11.15000 0.000000.8 11.15000 11.15000 11.15000 8.23967 11.15000 0.00000

0.825 11.15000 11.15000 11.15000 8.59516 11.15000 0.000000.85 11.15000 11.15000 11.15000 8.88929 11.15000 0.00000

0.875 11.15000 11.15000 11.15000 9.13540 11.15000 0.976660.9 11.15000 11.15000 11.15000 9.34340 11.15000 2.02704

0.925 11.15000 11.15000 11.15000 9.52078 11.15000 2.922760.95 11.15000 11.15000 11.15000 9.67326 11.15000 3.69277

0.975 11.15000 11.15000 11.15000 9.80530 11.15000 4.359521 11.15000 11.15000 11.15000 9.92039 11.15000 4.94069

1.025 11.15000 11.15000 11.15000 10.02131 11.15000 5.450321.05 11.15000 11.15000 11.15000 10.11029 11.15000 5.89969

1.075 11.15000 11.15000 11.15000 10.18916 11.15000 6.297941.1 11.15000 11.15000 11.15000 10.25938 11.15000 6.65253

1.125 11.15000 11.15000 11.15000 10.32217 11.15000 6.969631.15 11.15000 11.15000 11.15000 10.37855 11.15000 7.25434

1.175 11.15000 11.15000 11.15000 10.42936 11.15000 7.510931.2 11.15000 11.15000 11.15000 10.47531 11.15000 7.74297

1.225 11.15000 11.15000 11.15000 10.51701 11.15000 7.953511.25 11.15000 11.15000 11.15000 10.55495 11.15000 8.14512

1.275 11.15000 11.15000 11.15000 10.58958 11.15000 8.320001.3 11.15000 11.15000 11.15000 10.62128 11.15000 8.48005

1.325 11.15000 11.15000 11.15000 10.65035 11.15000 8.626891.35 11.15000 11.15000 11.15000 10.67710 11.15000 8.76195

1.375 11.15000 11.15000 11.15000 10.70175 11.15000 8.886441.4 11.15000 11.15000 11.15000 10.72453 11.15000 9.00145

1.425 11.15000 11.15000 11.15000 10.74561 11.15000 9.107911.45 11.15000 11.15000 11.15000 10.76516 11.15000 9.20665

1.475 11.15000 11.15000 11.15000 10.78333 11.15000 9.298401.5 11.15000 11.15000 11.15000 10.80024 11.15000 9.38380

1.525 11.15000 11.15000 11.15000 10.81601 11.15000 9.46342

1.55 11.15000 11.15000 11.15000 10.83074 11.15000 9.537781.575 11.15000 11.15000 11.15000 10.84451 11.15000 9.60733

1.6 11.15000 11.15000 11.15000 10.85741 11.15000 9.672471.625 11.15000 11.15000 11.15000 10.86951 11.15000 9.733571.65 11.15000 11.15000 11.15000 10.88087 11.15000 9.79096

1.675 11.15000 11.15000 11.15000 10.89156 11.15000 9.844931.7 11.15000 11.15000 11.15000 10.90162 11.15000 9.89575

1.725 11.15000 11.15000 11.15000 10.91111 11.15000 9.943661.75 11.15000 11.15000 11.15000 10.92006 11.15000 9.98887

1.775 11.15000 11.15000 11.15000 10.92852 11.15000 10.031591.8 11.15000 11.15000 11.15000 10.93653 11.15000 10.07199

1.825 11.15000 11.15000 11.15000 10.94410 11.15000 10.110251.85 11.15000 11.15000 11.15000 10.95128 11.15000 10.14650

1.875 11.15000 11.15000 11.15000 10.95809 11.15000 10.180891.9 11.15000 11.15000 11.15000 10.96456 11.15000 10.21354

1.925 11.15000 11.15000 11.15000 10.97070 11.15000 10.244571.95 11.15000 11.15000 11.15000 10.97654 11.15000 10.27408

1.975 11.15000 11.15000 11.15000 10.98211 11.15000 10.302172 11.15000 11.15000 11.15000 10.98741 11.15000 10.32893

2.5 11.15000 11.15000 11.15000 11.05643 11.15000 10.677473.0 11.15000 11.15000 11.15000 11.08928 11.15000 10.843373.5 11.15000 11.15000 11.15000 11.10744 11.15000 10.935084.0 11.15000 11.15000 11.15000 11.11852 11.15000 10.99104

xu/b Area Factor C1 Dist. Factor C20.1 0.3610476 0.4159664

0.125 0.3610476 0.41596640.15 0.3610476 0.4159664

0.175 0.3610476 0.41596640.2 0.3610476 0.4159664

0.225 0.3610476 0.41596640.25 0.3610476 0.4159664

0.275 0.3610476 0.41596640.3 0.3610476 0.4159664

0.325 0.3610476 0.41596640.35 0.3610476 0.4159664

0.375 0.3610476 0.41596640.4 0.3610476 0.4159664

0.425 0.3610476 0.41596640.45 0.3610476 0.4159664

0.475 0.3610476 0.4159664

0.5 0.3610476 0.41596640.525 0.3610476 0.41596640.55 0.3610476 0.4159664

0.575 0.3610476 0.41596640.6 0.3610476 0.4159664

0.625 0.3610476 0.41596640.65 0.3610476 0.4159664

0.675 0.3610476 0.41596640.7 0.3610476 0.4159664

0.725 0.3610476 0.41596640.75 0.3610476 0.4159664

0.775 0.3610476 0.41596640.8 0.3610476 0.4159664

0.825 0.3610476 0.41596640.85 0.3610476 0.4159664

0.875 0.3610476 0.41596640.9 0.3610476 0.4159664

0.925 0.3610476 0.41596640.95 0.3610476 0.4159664

0.975 0.3610476 0.41596641 0.3610476 0.4159664

1.025 0.3680201 0.42432491.05 0.3741682 0.4314366

1.075 0.3796168 0.43754681.1 0.3844682 0.4428414

1.125 0.3888065 0.44746431.15 0.3927018 0.4515279

1.175 0.3962122 0.45512161.2 0.3993869 0.4583173

1.225 0.4022673 0.46117311.25 0.4048888 0.4637368

1.275 0.4072815 0.46604791.3 0.4094712 0.4681394

1.325 0.4114802 0.47003871.35 0.413328 0.4717692

1.375 0.4150312 0.47335081.4 0.4166047 0.4748003

1.425 0.4180612 0.47613241.45 0.4194121 0.4773596

1.475 0.4206674 0.47849281.5 0.4218358 0.4795416

1.525 0.4229252 0.48051421.55 0.4239425 0.4814181

1.575 0.424894 0.4822595

1.6 0.4257853 0.48304421.625 0.4266212 0.48377721.65 0.4274064 0.4844631

1.675 0.4281448 0.48510581.7 0.4288401 0.485709

1.725 0.4294955 0.48627581.75 0.4301141 0.4868092

1.775 0.4306985 0.48731181.8 0.4312513 0.4877858

1.825 0.4317747 0.48823351.85 0.4322707 0.4886568

1.875 0.4327412 0.48905741.9 0.4331879 0.489437

1.925 0.4336124 0.4897971.95 0.4340162 0.4901387

1.975 0.4344005 0.49046342 0.4347666 0.4907722

2.5 0.4395351 0.4947473.0 0.4418048 0.49660873.5 0.4430595 0.49762974.0 0.4438252 0.49825

pi(fsi-fci)/(fck) - Muy casexu/b x1 x2 x3 x4 x5 x60.1 -0.0757726 -0.045352 0 -0.045352 0 -0.0907041

0.125 -0.0282171 -0.045352 0 -0.045352 0 -0.09070410.15 0.0030763 -0.045352 0 -0.045352 0 -0.0907041

0.175 0.0274303 -0.045352 0 -0.045352 0 -0.09070410.2 0.0456958 -0.0446694 0 -0.045352 0 -0.0907041

0.225 0.0599023 -0.0431649 0 -0.045352 0 -0.09070410.25 0.0704702 -0.0402143 0 -0.045352 0 -0.0907041

0.275 0.0746648 -0.0342025 0 -0.045352 0 -0.09070410.3 0.0770772 -0.0240041 0 -0.0452573 0 -0.0907041

0.325 0.0789993 -0.0153747 0 -0.0446472 0 -0.09070410.35 0.0800291 -0.007978 0 -0.0439608 0 -0.0907041

0.375 0.0809215 -0.0015676 0 -0.0424364 0 -0.09070410.4 0.0817024 0.0026404 0 -0.0407404 0 -0.0907041

0.425 0.0823915 0.0075896 0 -0.0380905 0 -0.0901349

0.45 0.083004 0.0119889 0 -0.0329853 0 -0.08927460.475 0.0834922 0.0159251 0 -0.0266082 0 -0.0885049

0.5 0.0838374 0.0194677 0 -0.0208689 0 -0.08663970.525 0.0841498 0.022673 0 -0.0156762 0 -0.08421620.55 0.0844338 0.0255868 0 -0.0109555 0 -0.0818242

0.575 0.084693 0.0282472 0 -0.0066453 0 -0.07824840.6 0.0849307 0.030686 0 -0.0026943 0 -0.0736892

0.625 0.0851494 0.0329296 0 0.00084708 0 -0.06489930.65 0.0853512 0.034936 0 0.00392377 0 -0.0556202

0.675 0.0855381 0.0358421 0 0.00683233 0 -0.04702850.7 0.0856477 0.0366836 0 0.00957117 0 -0.0390504

0.725 0.0857026 0.0373554 0 0.01214642 0 -0.03162260.75 0.085754 0.0378371 0 0.01456741 0 -0.02469

0.775 0.085802 0.0382877 0 0.01684457 0 -0.01820460.8 0.085847 0.0387102 0 0.01898842 0 -0.0121245

0.825 0.0858892 0.039107 0 0.02100903 0 -0.0064130.85 0.085929 0.0394533 0 0.02291587 0 -0.0010374

0.875 0.0859665 0.0396606 0 0.02471768 0 0.003785550.9 0.086002 0.0398564 0 0.02642245 0 0.00830839

0.925 0.0860355 0.0400416 0 0.0280375 0 0.012611350.95 0.0860672 0.040217 0 0.02956951 0 0.01670759

0.975 0.0860974 0.0403834 0 0.03102454 0 0.020609791 0.086126 0.0405415 0 0.03240812 0 0.02433001

1.025 0.0860345 0.0405098 0 0.03309682 0 0.027354171.05 0.0859504 0.0404806 0 0.03373058 0 0.03013984

1.075 0.0858727 0.0404536 0 0.03431573 0 0.032714171.1 0.0858009 0.0404287 0 0.03485766 0 0.0351003

1.125 0.0857342 0.0404055 0 0.03516107 0 0.037318151.15 0.0856722 0.040384 0 0.03537881 0 0.03938491

1.175 0.0856134 0.0403639 0 0.03558219 0 0.041315491.2 0.0854543 0.0403451 0 0.03577258 0 0.04312294

1.225 0.0853052 0.0403275 0 0.03595119 0 0.044818651.25 0.0851651 0.0403109 0 0.03611908 0 0.04641269

1.275 0.0850333 0.0402953 0 0.03627719 0 0.047913921.3 0.0849091 0.0402807 0 0.03642635 0 0.04933022

1.325 0.0847918 0.0402668 0 0.03656729 0 0.05066861.35 0.0846808 0.0402537 0 0.03670068 0 0.05193532

1.375 0.0845758 0.0402413 0 0.03682711 0 0.053135971.4 0.0844761 0.0402295 0 0.03694711 0 0.0542756

1.425 0.0843814 0.0402183 0 0.03706115 0 0.055358751.45 0.0842914 0.0402077 0 0.03716968 0 0.0563895

1.475 0.0842057 0.0401976 0 0.03724336 0 0.057371571.5 0.084124 0.0401879 0 0.03730761 0 0.05830833

1.525 0.084046 0.0401787 0 0.03736897 0 0.05920285

1.55 0.0839714 0.0401699 0 0.03742765 0 0.060057911.575 0.0839002 0.0401615 0 0.0374838 0 0.06087608

1.6 0.0838319 0.0401534 0 0.03753759 0 0.061659681.625 0.0837665 0.0401457 0 0.03758916 0 0.062410871.65 0.0837038 0.0401383 0 0.03763866 0 0.06313161

1.675 0.0836437 0.0401311 0 0.0376862 0 0.063823731.7 0.0835858 0.0401243 0 0.03773189 0 0.06448888

1.725 0.0835302 0.0401177 0 0.03777585 0 0.065128621.75 0.0834768 0.0401114 0 0.03781816 0 0.06574437

1.775 0.0834252 0.0401053 0 0.03785892 0 0.066337461.8 0.0833756 0.0400995 0 0.03789822 0 0.06690912

1.825 0.0833171 0.0400938 0 0.03793612 0 0.067460491.85 0.0832511 0.0400884 0 0.03797271 0 0.06799262

1.875 0.0831875 0.0400831 0 0.03800805 0 0.068506521.9 0.083126 0.040078 0 0.0380422 0 0.0690031

1.925 0.0830665 0.0400731 0 0.03807523 0 0.069483211.95 0.083009 0.0400683 0 0.03810718 0 0.06994768

1.975 0.0829534 0.0400637 0 0.03813811 0 0.070171362 0.0828995 0.0400593 0 0.03816807 0 0.07037354

2.5 0.0820952 0.0399928 0 0.03861662 0 0.073405133.0 0.0816037 0.0399521 0 0.03889191 0 0.074958193.5 0.0812722 0.0399247 0 0.03907808 0 0.075782084.0 0.0810335 0.039905 0 0.03921236 0 0.07637781

pi(fsi-fci)*x/(fck*b)xu/b x1 x2 x3 x4 x5 x60.1 -0.0268993 -0.0053667 0 0.00536666 0 0.03219994

0.125 -0.0100171 -0.0053667 0 0.00536666 0 0.032199940.15 0.0010921 -0.0053667 0 0.00536666 0 0.03219994

0.175 0.0097378 -0.0053667 0 0.00536666 0 0.032199940.2 0.016222 -0.0052859 0 0.00536666 0 0.03219994

0.225 0.0212653 -0.0051078 0 0.00536666 0 0.032199940.25 0.0250169 -0.0047587 0 0.00536666 0 0.03219994

0.275 0.026506 -0.0040473 0 0.00536666 0 0.032199940.3 0.0273624 -0.0028405 0 0.00535545 0 0.03219994

0.325 0.0280447 -0.0018193 0 0.00528325 0 0.032199940.35 0.0284103 -0.0009441 0 0.00520202 0 0.03219994

0.375 0.0287271 -0.0001855 0 0.00502164 0 0.03219994

0.4 0.0290044 0.0003124 0 0.00482095 0 0.032199940.425 0.029249 0.0008981 0 0.00450738 0 0.031997880.45 0.0294664 0.0014187 0 0.00390325 0 0.0316925

0.475 0.0296397 0.0018845 0 0.00314864 0 0.031419260.5 0.0297623 0.0023037 0 0.00246948 0 0.03075711

0.525 0.0298732 0.002683 0 0.00185501 0 0.029896760.55 0.029974 0.0030278 0 0.0012964 0 0.02904759

0.575 0.030066 0.0033426 0 0.00078636 0 0.027778170.6 0.0301504 0.0036312 0 0.00031883 0 0.02615967

0.625 0.030228 0.0038967 0 -0.0001002 0 0.023039250.65 0.0302997 0.0041341 0 -0.0004643 0 0.01974518

0.675 0.030366 0.0042413 0 -0.0008085 0 0.016695110.7 0.0304049 0.0043409 0 -0.0011326 0 0.0138629

0.725 0.0304244 0.0044204 0 -0.0014373 0 0.011226020.75 0.0304427 0.0044774 0 -0.0017238 0 0.00876493

0.775 0.0304597 0.0045307 0 -0.0019933 0 0.006462620.8 0.0304757 0.0045807 0 -0.002247 0 0.00430421

0.825 0.0304907 0.0046277 0 -0.0024861 0 0.002276610.85 0.0305048 0.0046686 0 -0.0027117 0 0.00036827

0.875 0.0305181 0.0046932 0 -0.0029249 0 -0.00134390.9 0.0305307 0.0047163 0 -0.0031267 0 -0.0029495

0.925 0.0305426 0.0047383 0 -0.0033178 0 -0.0044770.95 0.0305539 0.004759 0 -0.0034991 0 -0.0059312

0.975 0.0305646 0.0047787 0 -0.0036712 0 -0.00731651 0.0305747 0.0047974 0 -0.003835 0 -0.0086372

1.025 0.0305422 0.0047937 0 -0.0039165 0 -0.00971071.05 0.0305124 0.0047902 0 -0.0039915 0 -0.0106996

1.075 0.0304848 0.004787 0 -0.0040607 0 -0.01161351.1 0.0304593 0.0047841 0 -0.0041248 0 -0.0124606

1.125 0.0304356 0.0047813 0 -0.0041607 0 -0.01324791.15 0.0304136 0.0047788 0 -0.0041865 0 -0.0139816

1.175 0.0303928 0.0047764 0 -0.0042106 0 -0.0146671.2 0.0303363 0.0047742 0 -0.0042331 0 -0.0153086

1.225 0.0302833 0.0047721 0 -0.0042542 0 -0.01591061.25 0.0302336 0.0047701 0 -0.0042741 0 -0.0164765

1.275 0.0301868 0.0047683 0 -0.0042928 0 -0.01700941.3 0.0301427 0.0047665 0 -0.0043105 0 -0.0175122

1.325 0.0301011 0.0047649 0 -0.0043271 0 -0.01798741.35 0.0300617 0.0047634 0 -0.0043429 0 -0.018437

1.375 0.0300244 0.0047619 0 -0.0043579 0 -0.01886331.4 0.029989 0.0047605 0 -0.0043721 0 -0.0192678

1.425 0.0299554 0.0047592 0 -0.0043856 0 -0.01965241.45 0.0299235 0.0047579 0 -0.0043984 0 -0.0200183

1.475 0.029893 0.0047567 0 -0.0044071 0 -0.0203669

1.5 0.029864 0.0047556 0 -0.0044147 0 -0.02069951.525 0.0298363 0.0047545 0 -0.004422 0 -0.0210171.55 0.0298099 0.0047534 0 -0.0044289 0 -0.0213206

1.575 0.0297846 0.0047524 0 -0.0044356 0 -0.0216111.6 0.0297603 0.0047515 0 -0.0044419 0 -0.0218892

1.625 0.0297371 0.0047506 0 -0.0044481 0 -0.02215591.65 0.0297149 0.0047497 0 -0.0044539 0 -0.0224117

1.675 0.0296935 0.0047489 0 -0.0044595 0 -0.02265741.7 0.029673 0.004748 0 -0.0044649 0 -0.0228936

1.725 0.0296532 0.0047473 0 -0.0044701 0 -0.02312071.75 0.0296342 0.0047465 0 -0.0044751 0 -0.0233393

1.775 0.029616 0.0047458 0 -0.00448 0 -0.02354981.8 0.0295983 0.0047451 0 -0.0044846 0 -0.0237527

1.825 0.0295776 0.0047444 0 -0.0044891 0 -0.02394851.85 0.0295542 0.0047438 0 -0.0044934 0 -0.0241374

1.875 0.0295315 0.0047432 0 -0.0044976 0 -0.02431981.9 0.0295097 0.0047426 0 -0.0045017 0 -0.0244961

1.925 0.0294886 0.004742 0 -0.0045056 0 -0.02466651.95 0.0294682 0.0047414 0 -0.0045093 0 -0.0248314

1.975 0.0294484 0.0047409 0 -0.004513 0 -0.02491082 0.0294293 0.0047403 0 -0.0045166 0 -0.0249826

2.5 0.0291438 0.0047325 0 -0.0045696 0 -0.02605883.0 0.0289693 0.0047277 0 -0.0046022 0 -0.02661023.5 0.0288516 0.0047244 0 -0.0046242 0 -0.02690264.0 0.0287669 0.0047221 0 -0.0046401 0 -0.0271141

Pu & Muy casexu/b Pu (kN) Muy (kN.m) fs6 360.900

0 -1361.13 0 -1105.37 43.7 360.900 360.9000.1 -1105.37 43.7 -822.47 84.8 360.900 360.900

0.125 -822.47 84.8 -620.87 113.98 360.900 360.9000.15 -620.87 113.98 -453.97 137.85 360.900 360.900

0.175 -453.97 137.85 -314.1 157.2 360.900 360.9000.2 -314.1 157.2 -190.41 173.47 360.900 360.900

0.225 -190.41 173.47 -77.69 187.13 360.900 360.9000.25 -77.69 187.13 18.47 196.62 360.900 360.900

0.275 18.47 196.62 127.12 205.43 360.900 360.9000.3 127.12 205.43 228.06 213.03 360.900 360.900

0.325 228.06 213.03 318.76 219.3 360.900 360.900

0.35 318.76 219.3 408.03 224.68 360.900 360.9000.375 408.03 224.68 486.58 229.03 360.900 358.635

0.4 486.58 229.03 576 232.49 358.635 355.2130.425 576 232.49 676.02 234.6 355.213 352.1500.45 676.02 234.6 779 235.91 352.150 344.729

0.475 779 235.91 881.6 236.01 344.729 335.0860.5 881.6 236.01 982.4 235.37 335.086 325.568

0.525 982.4 235.37 1079.08 234.4 325.568 311.3400.55 1079.08 234.4 1178.24 232.23 311.340 293.200

0.575 1178.24 232.23 1279.3 229.01 293.200 258.2260.6 1279.3 229.01 1398.4 222.45 258.226 221.306

0.625 1398.4 222.45 1516.35 215.2 221.306 187.1200.65 1516.35 215.2 1624.45 207.84 187.120 155.377

0.675 1624.45 207.84 1727.92 200.5 155.377 125.8220.7 1727.92 200.5 1826.7 193.14 125.822 98.238

0.725 1826.7 193.14 1921.27 185.75 98.238 72.4340.75 1921.27 185.75 2012.7 178.32 72.434 48.242

0.775 2012.7 178.32 2101.29 170.83 48.242 25.5160.8 2101.29 170.83 2187.28 163.24 25.516 4.128

0.825 2187.28 163.24 2270.75 155.53 4.128 16.0390.85 2270.75 155.53 2350.23 147.83 16.039 35.085

0.875 2350.23 147.83 2427.66 139.98 35.085 53.1020.9 2427.66 139.98 2503.47 131.93 53.102 70.170

0.925 2503.47 131.93 2577.78 123.67 70.170 86.3630.95 2577.78 123.67 2650.68 115.19 86.363 101.747

0.975 2650.68 115.19 2722.26 106.48 101.747 0.0001 2722.26 106.48 2775.07 99.11 0.000 0.000

1.025 2775.07 99.11 2822.34 92.53 0.000 0.0001.05 2822.34 92.53 2864.86 86.61 0.000 0.000

1.075 2864.86 86.61 2903.27 81.26 0.000 0.0001.1 2903.27 81.26 2937.12 76.46 0.000 0.000

1.125 2937.12 76.46 2967.6 72.11 0.000 0.0001.15 2967.6 72.11 2995.43 68.14 0.000 0.000

1.175 2995.43 68.14 3020.4 64.43 0.000 0.0001.2 3020.4 64.43 3043.34 61.01 0.000 0.000

1.225 3043.34 61.01 3064.48 57.87 0.000 0.0001.25 3064.48 57.87 3084 54.96 0.000 0.000

1.275 3084 54.96 3102.08 52.26 0.000 0.0001.3 3102.08 52.26 3118.87 49.75 0.000 0.000

1.325 3118.87 49.75 3134.49 47.42 0.000 0.0001.35 3134.49 47.42 3149.05 45.25 0.000 0.000

1.375 3149.05 45.25 3162.66 43.21 0.000 0.0001.4 3162.66 43.21 3175.4 41.3 0.000 0.000

1.425 3175.4 41.3 3187.35 39.52 0.000 0.000

1.45 3187.35 39.52 3198.42 37.84 0.000 0.0001.475 3198.42 37.84 3208.81 36.27 0.000 0.000

1.5 3208.81 36.27 3218.6 34.78 0.000 0.0001.525 3218.6 34.78 3227.84 33.38 0.000 0.0001.55 3227.84 33.38 3236.57 32.05 0.000 0.000

1.575 3236.57 32.05 3244.83 30.8 0.000 0.0001.6 3244.83 30.8 3252.66 29.6 0.000 0.000

1.625 3252.66 29.6 3260.09 28.47 0.000 0.0001.65 3260.09 28.47 3267.14 27.4 0.000 0.000

1.675 3267.14 27.4 3273.85 26.38 0.000 0.0001.7 3273.85 26.38 3280.23 25.4 0.000 0.000

1.725 3280.23 25.4 3286.32 24.47 0.000 0.0001.75 3286.32 24.47 3292.12 23.59 0.000 0.000

1.775 3292.12 23.59 3297.66 22.74 0.000 0.0001.8 3297.66 22.74 3302.91 21.92 0.000 0.000

1.825 3302.91 21.92 3307.87 21.14 0.000 0.0001.85 3307.87 21.14 3312.63 20.38 0.000 0.000

1.875 3312.63 20.38 3317.18 19.66 0.000 0.0001.9 3317.18 19.66 3321.55 18.96 0.000 0.000

1.925 3321.55 18.96 3325.74 18.29 0.000 0.0001.95 3325.74 18.29 3328.63 17.81 0.000 0.000

1.975 3328.63 17.81 3331.33 17.36 0.000 0.0002 3331.33 17.36 3368.22 11.11 0.000 0.000

2.5 3368.22 11.11 3386.05 7.96 0.000 0.0003.0 3386.05 7.96 3395.58 6.19 0.000 0.0003.5 3395.58 6.19 3401.76 5.02 0.000 0.0004.0 3401.76 5.02 3423.38 0 0.000 0

3423.38 0

BIAXCOLUMN.xlsCALCULATIONS FOR SLENDERNESS EFFECTMoments due to slenderness effect:

Axial load Effective Length Short / Long Additional MomentsCol. Pu (kN) Column due to slenderness effec

Mk.C1 1500 6.000 5.000 Short x-axis, Long y-axi 0.000 46.875C2 431.4 5.500 5.500 Short x-axis, Long y-axi 0.000 16.312C3 2142.1 3.000 3.000 Short, both axes 0.000 0.000C4 705.1 4.000 4.000 Short, both axes 0.000 0.000C5 1068.2 5.300 5.300 Short x-axis, Long y-axi 0.000 37.507C6 1262.75 4.500 4.500 Short, both axes 0.000 0.000C7 1700 5.000 5.000 Short x-axis, Long y-axi 0.000 53.125C8 1860 3.000 3.000 Short, both axes 0.000 0.000C9 2011.12 4.500 4.500 Short, both axes 0.000 0.000

C10 2752.3 3.000 6.000 Short x-axis, Long y-axi 0.000 123.854

Puz = 3423.3849 kN

Calculation of Pbxxu/D= (.0035*d)/(.0055*D) = 0.5625455Pb-conc = 1015394.55 N D = 500 mm b (mm) = 400

fy = 415 Es = 200000Steel Strainxu/D e1 e2 e3 e4 e5 e60.562545 0.00277828 0.0011855 0.0035 0.0004072 0.0035 0.002

Steel Stress,fsixu/d fs1 fs2 fs3 fs4 fs5 fs60.562545 351.95995 237.68037 358.275 81.64593 358.275 327.73878

Concrete Stress, fci0.562545 11.15 11.15 11.15 0 11.15 0

Ast(fsi-fci)xu/d y1 y2 y3 y4 y5 y6

0.562545 428274.42 142333.23 0 -51299.649 0 -411848.7

Pbx = 1122.8539 kN

lex (m) ley (m)M'

ax (kN.m)M'ay(kN.m)

N/mm2 N/mm2

Calculation of Pbyxu/B= (.0035*b)/(.0055*B) = 0.5440909Pb-conc = 982084.091 N D = 500 mm b (mm) = 400

fy = 415 Es = 200000Steel Strainxu/D e1 e2 e3 e4 e5 e60.544091 0.00256725 0.0010448 0.0035 0.0004776 0.0035 0.002

Steel Stress,fsixu/B= fs1 fs2 fs3 fs4 fs5 fs60.544091 346.843609 209.47477 358.275 95.748728 358.275 327.73878

Concrete Stress, fci0.544091 11.15 11.15 11.15 0 11.15 0

Ast(fsi-fci)xu/d y1 y2 y3 y4 y5 y60.544091 421845.03 124611.13 0 -60160.7 0 -411848.7

Pby = 1056.53086 kNAdditional Moments & Modified Initial Moments:

Col. Axial LoadMk. Pu (kN)C1 1500 0.8361 0.8126 0 38.090625 68 12C2 431.4 1 1 0 16.312313 87.7712 0C3 2142.1 0.557 0.5413 0 0 84.964 2.53C4 705.1 1 1 0 0 194.8 24.8C5 1068.2 1 0.9951 0 37.323387 107.8 15.4C6 1262.75 0.9392 0.9129 0 0 200 45.6C7 1700 0.7491 0.7281 0 38.680313 40 140C8 1860 0.6796 0.6605 0 0 94.6 0C9 2011.12 0.6139 0.5967 0 0 145 110

C10 2752.3 0.2917 0.2835 0 35.112467 52 52

Moments due to minimum eccentricityCol.

Minimum Eccentricty Moments due to

Mk. Minimum eccentricity

C1 30.667 27.333 46.000 41.000C2 27.667 24.333 11.935 10.497C3 22.667 19.333 48.554 42.842C4 22.667 19.333 15.982 14.102C5 24.667 21.333 26.349 22.788C6 22.667 19.333 28.622 25.255C7 22.667 19.333 38.533 34.000C8 22.667 19.333 42.160 37.200C9 22.667 19.333 45.585 40.222

N/mm2 N/mm2

kx ky kx x M'ax ky x M'

ay Iniital M'ux Intital M'

uy

ex (mm) ey (mm) Ecc. M'ux Ecc. M'

uy

C10 22.667 19.333 62.385 55.046

Final Design Moments

Col. Mmnts. due to SlendernessInitial/Eccentric Moments Final Design Moments

Mk.C1 0.000 38.091 170.000 41.000 170.000 79.091 1.397C2 0.000 16.312 199.480 10.497 199.480 26.810 1.000C3 0.000 0.000 193.100 42.842 193.100 42.842 1.710C4 0.000 0.000 240.000 30.000 240.000 30.000 1.010C5 0.000 37.323 245.000 35.000 245.000 72.323 1.187C6 0.000 0.000 260.000 60.000 260.000 60.000 1.281C7 0.000 38.680 40.000 140.000 40.000 178.680 1.494C8 0.000 0.000 215.000 37.200 215.000 37.200 1.572C9 0.000 0.000 145.000 110.000 145.000 110.000 1.646

C10 0.000 35.112 120.000 120.000 120.000 155.112 2.000

an

Max (kN.m) May (kN.m) M'ux (kN.m) M'

uy (kN.m) Mux(kN.m) Muy(kN.m)



RECTANGULAR COLUMN SUBJECTED TOAXIAL COMPRESSIVE LOAD + BIAXIAL BENDING MOMENTS

0

50

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0

0

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3750

1; 1500.00

2; 431.40

3; 2142.10

4; 705.10

5; 1068.20

6; 1262.75

7; 1700.00

8; 1860.00

9; 2011.12

10; 2752.30

Pu & Mux Chart

fck=M25, fy=415, b =400mm, D =500mm, p=1.885%Applied Loads Pu & Mux (Any value to the right of red line requires revision of section

Mux (kN.m)

Pu

(kN

)



RECTANGULAR COLUMN SUBJECTED TOAXIAL COMPRESSIVE LOAD + BIAXIAL BENDING MOMENTS

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3250

3500

3750

1; 1500.00

2; 431.40

3; 2142.10

4; 705.10

5; 1068.20

6; 1262.75

7; 1700.00

8; 1860.00

9; 2011.12

10; 2752.30

Pu & Muy Chart

fck=M25, fy=415, b =400mm, D =500mm, p=1.885%Applied Loads Pu & Muy (Any value to the right of red line requires revsion of section

Muy (kN.m)

Pu

(kN

)

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0

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0

20

0

25

0

0

250

500

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1750

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2750

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3250

3500

3750

1; 1500.00

2; 431.40

3; 2142.10

4; 705.10

5; 1068.20

6; 1262.75

7; 1700.00

8; 1860.00

9; 2011.12

10; 2752.30

Pu & Muy Chart

fck=M25, fy=415, b =400mm, D =500mm, p=1.885%Applied Loads Pu & Muy (Any value to the right of red line requires revsion of section

Muy (kN.m)

Pu

(kN

)

NOTES ON BIAXCOLUMN.xls

This Spreadsheet is intended to be used by qualified Civil and Structural Engineers who arefamiliar with the provisions of IS:456-2000, and those who will evaluate the significance andlimitations of its contents and take responsibility for its use and application.

DISCLAIMER

No Liability is accepted by the author of the Spreadsheets for any direct, indirect, consequential or

in developing the Spreadsheets. The organisation or person using the Spreadsheets bears all risks and responsibility for the quality and performance of the Spreadsheets.

Notes for Input:

1. All bars used in the section are to be of same diameter.2. Bars are provided on all four sides. The spacing of bars are considered uniform, but the bar spacing at top and bottom faces can be different from those at sides.3. Total minimum number of bars = 4. Although calculations are made for total 20 nos. of bars distributed on all four sides, it can be used for more number of bars without significant error, subject to satisfying the requirements of IS:456-2000 regarding spacing of bars, maximum percentage of steel, cover, etc. 4. The number of bars at top and bottom faces can be different from those at sides.5. If the steel used has different strength from those considered, the spreadsheet can still be used considering the nearest value of strength, and the area of reinforcement considered is to be modified in proportion to the ratio of strengths.6. Cover to bars considered is same all round, and is to be clear to the main bars and not for links.7. Loads are considered to act on the centroid of column section.8. Calculations can be made for 10 (ten) number load cases for the column section considered. For any case without inputs, load inputs for that case are to be left blank.

N. PRABHAKAR BE CEng(I) MIStructE (UK) MIE (Ind)

Chartered Structural EngineerStructural ConsultantFlat E-8 Star ResidencyLocation: Evershine CityVasai (E) Pin 401 208Thane Dist, Maharashtra, India

Ph: (0250) 2463447 Revision History of BIAXCOLUMNDate Revision

11.4.2004 1.10.2004 Format updated

incidental loss or damage arising out of the usage of Spreadsheets or any mistakes and negligence

Documents

Bi Ax Column design