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Classification of steel sections by buckling

Short answer

IS 800:2007 classifies sections as plastic (Class 1), compact (2), semi-compact (3) or slender (4) using width-to-thickness ratios and ε=√(250/fy). Plastic sections allow full plastic rotation; compact reach Mp with limited rotation; semi-compact only elastic yield at extreme fiber; slender buckle before yield, needing effective section.

Classify and describe steel sections according to their local buckling behaviour.

IS 800:2007 (cl. 3.7, Table 2) classifies cross-sections by how their plate elements (flanges, web) behave under local buckling, using the width-to-thickness ratios b/tfb/t_f and d/twd/t_w and ε=250/fy\varepsilon=\sqrt{250/f_y}.

ClassNameBehaviourPlastic hinge / rotation capacity
1PlasticCan form a plastic hinge and rotate enough for plastic redistribution of momentFull plastic moment MpM_p, high rotation
2CompactCan reach MpM_p but local buckling limits rotationMpM_p, limited rotation
3Semi-compactExtreme fibre reaches fyf_y, but local buckling prevents the plastic momentElastic moment My=ZefyM_y = Z_e f_y
4SlenderLocal buckling occurs before the yield stress is reached in the extreme fibreLess than MyM_y; effective section used

Typical limits (rolled I-section, outstand flange b/tfb/t_f): Class 1 ≤9.4ε\le 9.4\varepsilon, Class 2 ≤10.5ε\le 10.5\varepsilon, Class 3 ≤15.7ε\le 15.7\varepsilon. For the web of an I-section in bending (neutral axis at mid-depth): d/tw≤84εd/t_w \le 84\varepsilon (plastic), 105ε105\varepsilon (compact), 126ε126\varepsilon (semi-compact).

Design use: Class 1 and 2 sections use the plastic section modulus ZpZ_p (with βb=1.0\beta_b=1.0); Class 3 uses the elastic modulus ZeZ_e; Class 4 uses effective properties after deducting the buckled width.

✓ Answer checked by Claude Opus 5.5 (high effort)

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