m - n interaction diagram

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Section : UB 300*150*69 D = 318 Condition S275 S355 B = 154 For N-A at Web N ≤ py*t*(D - 2*T) 822 1,070 T = 18 For N-A at Flange N > py*t*(D - 2*T) t = 11 py = 265 345 Neutral Axis at Web M = p*N^2 + q*N + r S275 S355 p = - 1/(4*t*py) -8.079E-05 -6.588E-05 [m/kN] q = {(D - 2*T) - (B - 2*T)}/2 0.082 0.082 [m] r = {4*B*T*py*(D - T) + 2*(B - 2*T)*(D - 2*T)*t*py - (D - 2*T)^2*t 210.920655 274.594815 [kNm] Neutral Axis at Flange M = p*N^2 + q*N + r S275 S355 p = - 1/(4*B*py) -6.126E-06 -4.705E-06 [m/kN] q = {(D - 2*T)*t + 2*T*B - D*B}/(2*B) -0.1309286 -0.1309286 [m] r = {2*B*D*(D - 2*T)*t + 4*B^2*D*T - [(D - 2*T)*t + 2*T*B]^2}*py/( 332.140722 432.409619 [kNm] S275 S355 N [kN] M [kNm] M [kNm] 0 210.92 274.59 50 214.82 278.53 100 218.31 282.14 150 221.40 285.41

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Page 1: M - N Interaction Diagram

Section : UB 300*150*69D = 318 Condition S275 S355B = 154 For N-A at Web N ≤ py*t*(D - 2*T) 822 1,070 [kN]T = 18 For N-A at Flange N > py*t*(D - 2*T)t = 11py = 265 345

Neutral Axis at WebM = p*N^2 + q*N + r S275 S355p = - 1/(4*t*py) -8.0792E-05 -6.5876E-05 [m/kN]q = {(D - 2*T) - (B - 2*T)}/2 0.082 0.082 [m]r = {4*B*T*py*(D - T) + 2*(B - 2*T)*(D - 2*T)*t*py - (D - 2*T)^2*t*py}/4 210.920655 274.594815 [kNm]

Neutral Axis at FlangeM = p*N^2 + q*N + r S275 S355p = - 1/(4*B*py) -6.1259E-06 -4.7054E-06 [m/kN]q = {(D - 2*T)*t + 2*T*B - D*B}/(2*B) -0.13092857 -0.13092857 [m]r = {2*B*D*(D - 2*T)*t + 4*B^2*D*T - [(D - 2*T)*t + 2*T*B]^2}*py/(4*B) 332.140722 432.4096189 [kNm]

S275 S355N [kN] M [kNm] M [kNm]

0 210.92 274.5950 214.82 278.53

100 218.31 282.14150 221.40 285.41

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Page 2: M - N Interaction Diagram

200 224.09 288.36250 226.37 290.98300 228.25 293.27350 229.72 295.22400 230.79 296.85450 231.46 298.15500 231.72 299.13550 231.58 299.77600 231.04 300.08650 230.09 300.06700 228.73 299.72750 226.98 299.04800 224.81 298.03820 223.84 297.54850 216.43 296.70900 209.34 295.04950 202.23 293.04

1000 195.09 290.721050 187.91 288.071070 185.03 286.911100 180.71 282.691150 173.47 275.621200 166.21 268.521250 158.91 261.401300 151.58 254.251350 144.22 247.081400 136.83 239.891450 129.41 232.671500 121.96 225.431550 114.48 218.171600 106.97 210.881650 99.43 203.57

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1700 91.86 196.231750 84.26 188.871800 76.62 181.491850 68.96 174.091900 61.26 166.661950 53.54 159.212000 45.78 151.732050 37.99 144.232100 30.18 136.712150 22.33 129.162200 14.45 121.592250 6.54 114.002300 -1.40 106.382350 -9.37 98.742400 -17.37 91.082450 -25.41 83.392500 -33.47 75.682550 -41.56 67.942600 -49.68 60.192650 -57.84 52.402700 -66.02 44.602750 -74.24 36.772800 -82.49 28.922850 -90.76 21.042900 -99.07 13.142950 -107.41 5.22

Page 4: M - N Interaction Diagram

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Page 6: M - N Interaction Diagram

Section : UB 600*200*103D = 600 Condition S275 S355B = 200 For N-A at Web N ≤ py*t*(D - 2*T) 1,650 2,148 [kN]T = 17 For N-A at Flange N > py*t*(D - 2*T)t = 11py = 265 345

Neutral Axis at WebM = p*N^2 + q*N + r S275 S355p = - 1/(4*t*py) -8.0792E-05 -6.5876E-05 [m/kN]q = {(D - 2*T) - (B - 2*T)}/2 0.2 0.2 [m]r = {4*B*T*py*(D - T) + 2*(B - 2*T)*(D - 2*T)*t*py - (D - 2*T)^2*t*py}/4 428.764435 558.202755 [kNm]

Neutral Axis at FlangeM = p*N^2 + q*N + r S275 S355p = - 1/(4*B*py) -4.717E-06 -3.6232E-06 [m/kN]q = {(D - 2*T)*t + 2*T*B - D*B}/(2*B) -0.267435 -0.267435 [m]r = {2*B*D*(D - 2*T)*t + 4*B^2*D*T - [(D - 2*T)*t + 2*T*B]^2}*py/(4*B) 979.361601 1275.017933 [kNm]

S275 S355N [kN] M [kNm] M [kNm]

0 428.76 558.2050 438.56 568.04

100 447.96 577.54150 456.95 586.72

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Page 7: M - N Interaction Diagram

200 465.53 595.57250 473.71 604.09300 481.49 612.27350 488.87 620.13400 495.84 627.66450 502.40 634.86500 508.57 641.73550 514.33 648.28600 519.68 654.49650 524.63 660.37700 529.18 665.92750 533.32 671.15800 537.06 676.04850 540.39 680.61900 543.32 684.84950 545.85 688.75

1000 547.97 692.331050 549.69 695.571100 551.01 698.491150 551.92 701.081200 552.42 703.341250 552.53 705.271300 552.23 706.871350 551.52 708.141400 550.41 709.091450 548.90 709.701500 546.98 709.981550 544.66 709.941600 541.94 709.561650 538.81 708.851700 511.09 707.821750 496.90 706.46

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1800 482.70 704.761850 468.46 702.741900 454.21 700.391950 439.93 697.712000 425.62 694.702050 411.30 691.362100 396.95 687.692150 382.57 683.282200 368.17 669.122250 353.75 654.952300 339.31 640.752350 324.84 626.542400 310.35 612.302450 295.83 598.052500 281.29 583.792550 266.73 569.502600 252.14 555.192650 237.53 540.872700 222.90 526.532750 208.24 512.172800 193.56 497.792850 178.86 483.402900 164.13 468.992950 149.38 454.553000 134.60 440.103050 119.81 425.643100 104.98 411.153150 90.14 396.653200 75.27 382.123250 60.37 367.583300 45.46 353.033350 30.52 338.45

Page 9: M - N Interaction Diagram

3400 15.55 323.853450 0.57 309.243500 -14.44 294.613550 -29.48 279.963600 -44.54 265.303650 -59.62 250.613700 -74.72 235.913750 -89.85 221.193800 -105.00 206.453850 -120.18 191.693900 -135.38 176.913950 -150.60 162.124000 -165.85 147.314050 -181.12 132.484100 -196.41 117.634150 -211.73 102.764200 -227.07 87.884250 -242.44 72.984300 -257.83 58.054350 -273.24 43.124400 -288.67 28.164450 -304.13 13.18

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Page 12: M - N Interaction Diagram

Section : UB 900*300*210D = 890 Condition S275 S355B = 299 For N-A at Web N ≤ py*t*(D - 2*T) 3,355 4,368 [kN]T = 23 For N-A at Flange N > py*t*(D - 2*T)t = 15py = 265 345

Neutral Axis at WebM = p*N^2 + q*N + r S275 S355p = - 1/(4*t*py) -5.9247E-05 -4.8309E-05 [m/kN]q = {(D - 2*T) - (B - 2*T)}/2 0.2955 0.2955 [m]r = {4*B*T*py*(D - T) + 2*(B - 2*T)*(D - 2*T)*t*py - (D - 2*T)^2*t*py}/4 1296.53609 1687.943205 [kNm]

Neutral Axis at FlangeM = p*N^2 + q*N + r S275 S355p = - 1/(4*B*py) -3.1552E-06 -2.4235E-06 [m/kN]q = {(D - 2*T)*t + 2*T*B - D*B}/(2*B) -0.40082943 -0.40082943 [m]r = {2*B*D*(D - 2*T)*t + 4*B^2*D*T - [(D - 2*T)*t + 2*T*B]^2}*py/(4*B) 2960.28036 3853.949909 [kNm]

S275 S355N [kN] M [kNm] M [kNm]

0 1,296.54 1,687.94100 1,325.49 1,717.01200 1,353.27 1,745.11300 1,379.85 1,772.25

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400 1,405.26 1,798.41500 1,429.47 1,823.62600 1,452.51 1,847.85700 1,474.36 1,871.12800 1,495.02 1,893.43900 1,514.50 1,914.76

1000 1,532.79 1,935.131100 1,549.90 1,954.541200 1,565.82 1,972.981300 1,580.56 1,990.451400 1,594.11 2,006.961500 1,606.48 2,022.501600 1,617.66 2,037.071700 1,627.66 2,050.681800 1,636.48 2,063.321900 1,644.10 2,075.002000 1,650.55 2,085.712100 1,655.81 2,095.452200 1,659.88 2,104.232300 1,662.77 2,112.042400 1,664.47 2,118.882500 1,664.99 2,124.762600 1,664.33 2,129.672700 1,662.47 2,133.622800 1,659.44 2,136.602900 1,655.22 2,138.613000 1,649.81 2,139.663100 1,643.22 2,139.743200 1,635.45 2,138.863300 1,626.49 2,137.013350 1,621.56 2,135.723400 1,560.99 2,134.19

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3500 1,518.73 2,130.413600 1,476.40 2,125.663700 1,434.02 2,119.943800 1,391.57 2,113.263900 1,349.06 2,105.614000 1,306.48 2,097.004100 1,263.84 2,087.424200 1,221.14 2,076.874300 1,178.37 2,065.364350 1,156.97 2,059.244400 1,135.55 2,043.384500 1,092.66 2,001.144600 1,049.70 1,958.854700 1,006.68 1,916.524800 963.60 1,874.134900 920.46 1,831.705000 877.25 1,789.215100 833.98 1,746.685200 790.65 1,704.105300 747.26 1,661.485400 703.80 1,618.805500 660.27 1,576.085600 616.69 1,533.305700 573.04 1,490.485800 529.33 1,447.615900 485.56 1,404.696000 441.72 1,361.736100 397.82 1,318.716200 353.85 1,275.656300 309.83 1,232.536400 265.74 1,189.376500 221.58 1,146.16

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6600 177.37 1,102.916700 133.09 1,059.606800 88.75 1,016.256900 44.34 972.846950 22.11 951.126975 10.99 940.266995 2.10 931.567100 -44.66 885.897200 -89.26 842.347300 -133.91 798.747400 -178.63 755.107500 -223.42 711.417600 -268.27 667.667700 -313.18 623.877800 -358.15 580.037900 -403.19 536.148000 -448.29 492.218100 -493.45 448.228200 -538.67 404.198300 -583.96 360.118400 -629.32 315.988500 -674.73 271.808600 -720.21 227.578700 -765.75 183.308800 -811.36 138.978900 -857.02 94.609000 -902.75 50.189100 -948.55 5.71

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