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SHEAR BUCKLING RESISTANCE OF CANTILEVER GIRDERS WITH CORRUGATED WEB Cover

SHEAR BUCKLING RESISTANCE OF CANTILEVER GIRDERS WITH CORRUGATED WEB

Open Access
|May 2019

Figures & Tables

Figure 1.

Cantilever SIN girders: a) static scheme, b) flat plates on the support in the SIN girder

Figure 2.

Cantilever girders with corrugated web a) models M 1.12, M 2.12 b) models M 1.22, M 1.32, M 1.42, M 1.52, M 2.22, M 2.32, M 2.42, M 2.52; c) d) end stiffeners

Figure 3.

a) Girder 2.32 on the test stand; b) steel frame FR

Figure 4.

Location of strain gauges on the girder web M 2.52

Figure 5.

Strain in the direction 60° relative to the axis of the web a) girder M 1.32; b) girder M 2.12

Figure 6.

Diagram of global displacements y of tested girders

Figure 7.

Load – displacements paths P(y) of girders a) M 1.12 (2×300×20); b) M 2. 12 (2×300×20 mm)

Figure 8.

Load – displacements paths P(y) of girders a) M 1.52 (2×300×25 mm); b) M 2. 52 (2×300×25 mm)

Figure 9.

Failure modes of cantilever SIN girders: a) M 1.12 (2×300×20 mm); b) M 2. 52 (2×300×25 mm)

Figure 10.

Numerical models

Figure 11.

Boundary conditions and load application to numerical model

Figure 12.

Comparison of LDPs P(y): a) tests M 1.42; b) FEM 1250×2

Figure 13.

Comparison of LDPs P(y): a) test M 2.52; b) FEM 1500×2

Figure 14.

Comparison of failure modes: a) experimental girder M 1.12 (500×2: stiffener 2×300×20); b) numerical model 500×2 (stiffener: 2×300×20)

Figure 15.

Failure modes of numerical models: a) 1000×2 (stiffener 2×300×25); b) 1000×2.5 (stiffener 2×300×25)

Figure 16.

Comparison of failure modes: a) experimental girder M 1.52 (1500×2: stiffener 2×300×25); b) numerical model 1500×2 (stiffener: 2×300×25)

Figure 17.

Normalized shear resistance in function of the slenderness

Current numerical program

hw [mm] tw [mm]Flange [mm]Suport stiffener [mm] w [mm] L [mm]Number of models
1234578
5002; 2.6; 3300×152×300×20150063503
10002; 2.6; 3300×152×300×25150063503
12502; 2.6; 3300×152×300×25150063503
15002; 2.6; 3300×152×300×25150063503

Experimental results of girders

GirderWeb hw x tw [mm]Flange [mm]Suport stiffenerFailure modesLimit load PeB [kN]First buckling load Pu,Rd [kN] PeB /Pu,Rd [%]
23456789
M 1.12500×2300×152×300×20L1841470.80
M 2.12500×2300×152×300×25L1811510.82
M 1.221000×2300×202×300×25I3422980.87
M 2.221000×2300×152×300×25L3432960.86
M 1.321000×2.6300×202×300×25I4783800.79
M 2.321000×2.6300×152×300×25I4923900.79
M 2.421000×3300×152×300×25I6945100.73
M 1.421250×2300×152×300×25I3483040.87
M 1.521500×2300×152×300×25I4684000.85
M 2.521500×2300×152×300×25I4593990.87

Numerical results of girders

Girder h w x t w [mm]Support StiffenerFailure modesLimit load P u,Rd [kN]First buckling load P eB [kN] P eB /P u,Rd [%]
123456
500×22×300×20L154.1149.10.97
500×2.52×300×20L192.2186.80.97
500×32×300×20L231.3224.60.97
1000×22×300×25L308.1297.20.96
1000×2.52×300×25I384.3371.30.97
1000×32×300×25I462.2445.30.96
1250×22×300×25I384.6360.10.94
1250×2.52×300×25I480.4449.90.94
1250×32×300×25I576.5539.50.94
1500×22×300×25I460.8419.20.91
1500×2.52×300×25I575.6531.90.92
1500×32×300×25I687.5635.70.92

Material properties

Girder f ¯ y [MPa] f ¯ u [MPa]Percentage total elongation at maximum force (Fm ) [%]Percentage total elongation at fracture [%] f ¯ y [MPa] f ¯ u [MPa]Percentage total elongation at maximum force (Fm ) [%]Percentage total elongation at fracture [%]E [GPa]
webflange
12345678910
M 1.12334.7430.616.122.1297.5443.123.930.3196
M 2.12337.9429.115.720.8311.2476.724.530.8188
M 1.22339.4435.415.922.2287.244824.131.4200
M 2.22336.3427.314.922.5323.5461.423.129.6234
M 1.32312.5453.913.820.2264.2460.922.628.0199
M 2.32324.6451.513.619.2293.9442.125.132.3241
M 2.42445.9544.110.714.6301.5439.821.327.7205
M 1.42267.2360.913.419.9302.8440.422.930.8199
M 1.52299.1380.516.823.3312.5445.624.130.0200
M 2.52281.0375.517.224.6306.7449.321.928.6203

Comparison investigations, FEM analysis with design [6, 1] and proposed resistances (17)

Girder hw x tw [mm] τINV [MPa] τFEM [MPa] τ I N V τ Y τ F E M τ Y τ n , S B τ Y τ n , E C τ Y τ n , B A τ Y τ n , B A τ I N V τ n , B A τ F E M
12345678910
500×2147.0149.10.800.920.790.860.861.090.93
500×2.5 149.4 0.920.790.910.86 0.93
500×3 149.7 0.920.790.950.86 0.93
1000×2149.0148.60.780.920.790.830.861.100.94
1000×2.5152.0148.50.900.920.790.880.860.960.94
1000×3170.0148.40.750.910.790.930.861.260.94
1250×2121.6144.00.860.890.790.820.851.010.96
1250×2.5 144.0 0.890.790.880.85 0.96
1250×3 143.9 0.890.790.920.86 0.96
1500×2133.0139.70.880.860.790.820.840.960.98
1500×2.5 141.8 0.870.790.870.85 0.97
1500×3 141.3 0.870.790.920.85 0.97
AVG. 0.83 0.90 0.79 0.88 0.85 1.06 0.95
DOI: https://doi.org/10.21307/acee-2019-006 | Journal eISSN: 2720-6947 | Journal ISSN: 1899-0142
Language: English
Page range: 63 - 79
Submitted on: Jul 19, 2018
|
Accepted on: Jan 24, 2019
|
Published on: May 20, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2019 Witold BASIŃSKI, published by Silesian University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.