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r - The Hong Kong Polytechnic University

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A pply Load, P (kN)<br />

900<br />

800<br />

700<br />

600<br />

500<br />

400<br />

300<br />

200<br />

100<br />

FE results D1<br />

Test results D1<br />

0<br />

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1<br />

Deflection, δ (mm)<br />

Test results A2<br />

Figure 4 Load vs. deflection curves<br />

FE results A2<br />

A2 Test<br />

imperfection=1.7<br />

D1 Test<br />

imperfection=3<br />

Reaction, R (kN)<br />

700<br />

600<br />

500<br />

400<br />

300<br />

200<br />

100<br />

0<br />

R<br />

δ (Lateral)<br />

D1<br />

0 1 2 3 4 5 6 7 8 9 1<br />

Lateral deformation, δ (mm)<br />

Figure 5 Reaction vs. Lateral deformation<br />

A2<br />

Local<br />

buckling<br />

web<br />

(a) Stress contours (b) Equivalent plastic strain contours (c) Deformed shapes of the connection<br />

Figure 6 Typical character of the connection<br />

PARAMETRIC STUDY AND RESULTS<br />

In order to study the effect of different parameters to the capacity of the web, parametric study was conducted<br />

based on the validated FE models discussed in previous section. <strong>The</strong> parameters chosen in this study were (1)<br />

initial imperfection of web section, (2) ratio of coped length to reduced beam depth (c/h 0 ), (3) the ratio of cope<br />

depth to beam depth (d c /D) and (4) web slenderness (d/t w ). For a beam with large web slenderness, the critical<br />

elastic buckling load may dominate the resistance, while the plastic capacity may dominate the resistance for<br />

beams with small web slenderness. For the purpose of investigating the inelastic local web buckling and to<br />

ensure the results to be within the application in practice, the web slenderness was chosen from 27.4 to 57.1.<br />

<strong>The</strong> proposed web slenderness covered a wide range of sections according to the British Standard (2000). In this<br />

study, four universal beam sections (UB203×133×30, UB610×305×179, UB356×171×51, and UB406×140×39)<br />

according to the British Standard (2001) were chosen. <strong>The</strong> span length of simulated beams was assumed to be<br />

ten times of the beam depth. <strong>The</strong> load position from the coped end of beam was approximately 1.5 times the<br />

beam depth.<br />

<strong>The</strong> coped depth to beam depth ratio (d c /D) was set as 0.05, 0.1 and 0.15 for all models. Based on a given beam<br />

depth and d c /D ratio, the corresponding reduced beam depth at coped (h 0 ) for each beam sections can be<br />

obtained. <strong>The</strong> corresponding coped length (c) for each beam sections was selected in order to achieve the coped<br />

length to reduced beam depth ratio (c/h 0 ) to vary from 0.1 to 1.0. Based on the above parameters requirement,<br />

the corresponding coped end geometry of each beam sections was obtained. All the variables of parametric<br />

study are presented in Table 3.<br />

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