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Effect of Random Strength Parameters of Flange Steel on Bending Resistance and Deflections of Girders with Corrugated Web

Witold BASIŃSKI
Witold BASIŃSKI
   | 27 janv. 2021
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Publié en ligne: 27 janv. 2021
Pages: 47 - 60
Reçu: 02 sept. 2020
Accepté: 18 nov. 2020
DOI: https://doi.org/10.21307/acee-2020-029
Mots clés
© 2020 Witold Basiński published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

Welding process of the corrugated web to the girder flanges
Welding process of the corrugated web to the girder flanges

Figure 2.

Corrugated web girders, from which samples were collected for testing strength parameters of flanges: a) with a semi-rigid end stiffener; b) with end stiffener reinforced by tee-bar; c) with a cantilever
Corrugated web girders, from which samples were collected for testing strength parameters of flanges: a) with a semi-rigid end stiffener; b) with end stiffener reinforced by tee-bar; c) with a cantilever

Figure 3.

Girders at the test stand a) girder M 2.41 WTC 1000/300x15; b) girder M 1.52 WTA 1500/300x15
Girders at the test stand a) girder M 2.41 WTC 1000/300x15; b) girder M 1.52 WTA 1500/300x15

Figure 4.

Girder M 1.31 – box-marked site of sample collection from the girder for materials tests on the flange random strength parameter
Girder M 1.31 – box-marked site of sample collection from the girder for materials tests on the flange random strength parameter

Figure 5.

Dimensions of samples: a) from a flange 20 mm thick; b) from a flange 15 mm thick
Dimensions of samples: a) from a flange 20 mm thick; b) from a flange 15 mm thick

Figure 6.

View of an exemplary 15 mm thick sample cut out of girder M 2.42 flange
View of an exemplary 15 mm thick sample cut out of girder M 2.42 flange

Figure 7.

Graph σ – ε of tension of 2 mm thick steel sample cut out of the flange of M 1.41 girder
Graph σ – ε of tension of 2 mm thick steel sample cut out of the flange of M 1.41 girder

Figure 8.

Graph σ – ε of tension of 3 mm thick steel sample cut out of the flange of M 2.42 girder
Graph σ – ε of tension of 3 mm thick steel sample cut out of the flange of M 2.42 girder

Figure 9.

Normal distribution of yield strength fy , Re from flanges SIN girders: a) from cantilever girders M.12-M 2.52; b) from all girders M.11-M 2.52
Normal distribution of yield strength fy , Re from flanges SIN girders: a) from cantilever girders M.12-M 2.52; b) from all girders M.11-M 2.52

Figure 10.

Partial factors of yield strength γm referred to the minimum value guaranteed by the steel mill γ m275 and by the manufacturer
Partial factors of yield strength γm referred to the minimum value guaranteed by the steel mill γ m275 and by the manufacturer

Figure 11.

Assessment of the safety of the structure due to the yield strength used for the calculation of the resistance N: a) distribution as a function of the resistance N; b) increasing the area of probability of failure
Assessment of the safety of the structure due to the yield strength used for the calculation of the resistance N: a) distribution as a function of the resistance N; b) increasing the area of probability of failure

Figure 12.

Bending moments M in the tested girders obtained on the basis of the design yield strength fy from material tests, the guaranteed yield strength Remin and the resistance tests: a) girders 7.825 m; b) girders 5.825 m; c) cantilever girders 6.0 m; d) cantilever girders 3.75 m
Bending moments M in the tested girders obtained on the basis of the design yield strength fy from material tests, the guaranteed yield strength Remin and the resistance tests: a) girders 7.825 m; b) girders 5.825 m; c) cantilever girders 6.0 m; d) cantilever girders 3.75 m

Figure 13.

Normal distribution of mean values of the modulus of Young Ē of steel samples from flanges of the plate girders with a corrugated web
Normal distribution of mean values of the modulus of Young Ē of steel samples from flanges of the plate girders with a corrugated web

Program of investigations

Girder hw x tw [mm] bf x tf [mm] Support Stiffener [mm] Girder hw x tw [mm] bf x tf [mm] Support Stiffener [mm]
1 2 3 4 5 6 7 8
M1.11 500x2 300x15 25x300 M 1.12 500x2 300x15 2x20x300
M 1.21 1000x2.5 300x15 25x300 M 1.22 1000x2 300x15 2x25x300
M 1.31 1000x2.5 300x20 25x300 M 1.32 1000x2.5 300x20 2x25x300
M 1.41 1250x2 300x15 25x300 M 1.42 1250x2 300x15 2x25x300
M 1.51 1500x2 300x15 25x300 M 1.52 1500x2 300x15 2x25x300
M 2.11 500x2.5 300x15 25x300 M 2.12 500x2 300x15 2x20x300
M 2.21 1000x2 300x15 25x300+tee bar M 2.22 1000x2 300x15 2x25x300
M 2.31 1000x2.5 300x15 25x300+tee bar M 2.32 1000x2.5 300x15 2x25x300
M 2.41 1000x3 300x15 25x300+tee bar M 2.42 1000x3 300x15 2x25x300
M 2.51 1500x3 300x15 25x300+tee bar M 2.52 1500x2 300x15 2x25x300

Average parameters of yield strength, tensile strength and modulus of Young tests on flange samples

Girder No. of sample b ¯ 0 a ¯ 0 S ¯ 0 L ¯ 0 L ¯ u A ¯ 10 F ¯ e H F ¯ m R ¯ e R ¯ m E ¯ R ¯ m / R ¯ e
mm mm mm2 mm mm % kN kN MPa MPa GPa
M 1.11 15.0 24.4 366.5 110.0 142.3 29.4 108.0 166.6 298.2 454.5 201.6 1.52
M 1.21 15.0 24.4 365.5 110.0 142.4 29.4 110.9 177.4 303.4 485.5 213.2 1.60
M 1.41 15.0 24.8 371.5 110.0 143.8 30.7 104.4 164.9 281.2 443.9 201.9 1.58
M 1.51 15.0 24.5 367.0 110.0 141.7 28.8 106.8 165.8 291.1 451.8 208.3 1.55
M 2.11 15.0 24.3 364.0 110.0 141.5 28.7 114.0 176.3 313.3 484.5 208.4 1.55
M 2.21 15.0 24.5 368.0 110.0 136.3 23.9 118.5 171.3 322.0 465.5 202.4 1.45
M 2.31 15.0 25.1 376.5 110.0 137.5 25.0 123.5 175.6 328.0 465.6 204.4 1.42
M 2.41 15.0 25.0 375.0 110.0 137.8 25.3 122.5 174.3 326.7 464.7 207.3 1.42
M 2.51 15.0 24.2 363.0 110.0 143.8 30.7 103.9 154.7 290.3 432.0 203.5 1.49
M 1.12 15.0 24.4 366.5 110.0 143.3 30.3 109.1 162.5 297.5 443.1 196.3 1.49
M 1.22 15.0 24.5 367.0 110.0 144.5 31.4 105.3 164.3 287.2 448.0 199.8 1.56
M 1.42 15.0 25.0 375.5 110.0 143.9 30.8 113.7 165.4 302.8 440.4 198.5 1.45
M 1.52 15.0 24.5 367.5 110.0 143.0 30.0 114.5 163.3 312.5 445.6 199.9 1.43
M 2.12 15.0 24.4 366.5 110.0 143.8 30.8 114.0 174.6 311.2 476.7 188.1 1.53
M 2.22 15.0 26.6 398.5 110.0 142.6 29.6 128.9 183.9 323.5 461.4 233.8 1.43
M 2.32 15.0 24.4 366.5 110.0 145.5 32.3 107.7 162.0 293.9 442.1 241.4 1.50
M 2.42 15.0 26.6 399.5 110.0 140.4 27.7 120.4 175.7 301.5 439.8 204.7 1.46
M 2.52 15.0 24.8 371.5 110.0 141.5 28.6 108.1 158.4 306.7 449.3 203.5 1.47
Average value for samples 15 mm: 305.1 455.2 206.50 1.49
M 1.31 20.0 28.3 566.7 140.0 185.0 32.2 167.6 244.3 298.9 435.7 205.5 1.46
M 1.32 20.0 29.1 582.0 140.0 179.1 28.0 153.8 268.2 264.2 460.9 198.5 1.74
Average value for samples 20 mm: 281.5 448.3 202.03 1.60
Average value for all samples: 287.8 431.8 206.06 1.40

The parameters of normal distribution of yield strength Re of flanges samples from SIN girders

Girder No. of sample E(Re ) [MPa] Rek [MPa] fy [MPa] D2 (Re ) D(Re ) VRe VRe275 γ m γm275
M 1.11 298.2 290.2 283.4 23.68 4.87 0.016 0.047 1.024 0.970
M 1.21 303.4 299.3 295.8 6.18 2.49 0.008 0.057 1.012 0.930
M 1.41 281.2 269.0 258.5 ** 55.78 7.47 0.027 0.013 1.040 1.064
M 1.51 291.1 283.0 276.1 24.52 4.95 0.017 0.034 1.025 0.996
M 2.11 313.3 305.3 298.5 23.74 4.87 0.016 0.075 1.023 0.921
M 2.21 322.0 311.4 302.4 41.43 6.44 0.020 0.089 1.030 0.909
M 2.31 328.0 317.0 307.7 44.76 6.69 0.020 0.099 1.030 0.894
M 2.41 326.7 310.7 297.1 94.99 9.75 0.030 0.096 1.046 0.926
M 2.51 290.3 280.5 272.1 ** 35.7 5.97 0.021 0.032 1.031 1.011
M 1.12 297.5 289.2 282.0 25.94 5.09 0.017 0.046 1.025 0.975
M 1.22 287.2 275.3 265.0 ** 53.13 7.29 0.025 0.026 1.039 1.038
M 1.42 302.8 287.9 275.1 82.76 9.10 0.030 0.056 1.046 0.999
M 1.52 312.5 301.9 292.9 41.57 6.45 0.021 0.073 1.031 0.939
M 2.12 311.2 302.3 294.7 29.58 5.44 0.017 0.071 1.026 0.933
M 2.22 323.5 310.3 299.0 65.04 8.06 0.025 0.091 1.038 0.920
M 2.32 293.9 282.6 272.9 ** 47.93 6.92 0.024 0.039 1.036 1.008
M 2.42 301.5 300.0 298.7 0.86 0.93 0.003 0.054 1.004 0.921
M 2.52 306.7 298.7 292.0 23.52 4.85 0.016 0.063 1.023 0.942
Average values 15 mm 305.1 295.2 286.9 40.06 5.98 0.020 0.059 1.029 0.961
M 1.31 298.9 287.6 278.03 47.11 6.86 0.023 0.049 1.035 0.989
M 1.32 264.2 * 256.6 250.02 ** 21.75 4.66 0.018 -0.025 1.026 1.100
Average values 20 mm 281.6 272.1 264.0 34.43 5.76 0.020 0.011 1.030 1.044
Average values for all samples 302.7 292.9 284.6 39.50 5.96 0.020 0.054 1.026 0.969

Total displacements y of girders with a corrugated web depending on the modulus of Young E

Girder No. of sample y [mm] y1/y2 y1/y3 ymax [mm]
y1 [for Sj = 580 MNm/rad, E ¯ = 201.6] y2 [for Sj = 580 MNm/rad, E ¯ = 210] y3 [for Sj = ∞, E ¯ = 210]
M 1.11 24.9 24.3 24.9 1.02 1.23 23.3
y1 [for Sj = 110 MNm/rad, E ¯ =188.1] y2 [for Sj = 110 MNm/rad, E ¯ = 210] y3 [for Sj = ∞, E ¯ = 210]
M 1.12 6.0 5.6 4.3 1.07 1.4 6.6
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