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The Design of Modern Steel Bridges - TEDI

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Stiffened Compression Flanges <strong>of</strong> Box and Plate Girders 179<br />

Figure 6.8 Details <strong>of</strong> a design example <strong>of</strong> a stiffened compression flange.<br />

<strong>The</strong> geometrical properties <strong>of</strong> this strut are:<br />

Centroidal moment <strong>of</strong> inertia, Ix ¼ 64 840 298 mm 4<br />

Area <strong>of</strong> cross-section ¼ 12 831 mm 2<br />

Radius <strong>of</strong> gyration, r ¼ 71.09 mm<br />

Maximum fibre distance to the top ¼ 50.54 mm<br />

Maximum fibre distance to the bottom ¼ 174.46 mm.<br />

Distance between stiffener centroid and girder neutral axis, h ¼ 897<br />

50.54 ¼ 846.46 mm; e 1 ¼ eccentricity <strong>of</strong> applied loading ¼ r 2 =h ¼ 5.97 mm.<br />

(a) Effective eccentricity for checking mid-span section <strong>of</strong> flange stiffener<br />

¼ k1e1; when k1 ¼ 1 sa<br />

þ 0:411 sa<br />

sE<br />

sa ¼ applied axial stress ¼ 145:6N=mm 2<br />

sE ¼ Euler stress ¼ p2 Eð71:09Þ 2<br />

k1 ¼ 0:8786<br />

ð3000Þ 2<br />

sE<br />

2<br />

¼ 1136 N=mm2<br />

Effective eccentricity <strong>of</strong> applied loading ¼ 5.25 mm; e 2 ¼ amplitude <strong>of</strong><br />

initial imperfection ¼ 3000/625 ¼ 4.80 mm; 1 ¼ k 1e 1 þ e 2 ¼ 10.05 mm.<br />

(i) For checking failure due to compression in flange plate<br />

Z ¼<br />

10:05 50:54<br />

ð71:09Þ 2<br />

<strong>The</strong> ultimate stress s su is given by<br />

¼ 0:1005

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