Question

The compressive strength for ISMB 400 used as a column for length 5m with both ends hinged is

(a) 275 kN

(b) 375.4 kN

(c) 453 kN

(d) 382 kN

This question was posed to me by my college professor while I was bunking the class.

I want to ask this question from Design of Compression Members topic in section Design of Compression Members of Design of Steel Structures

Answer 1

Right option is (b) 375.4 kN

The best explanation: K = 1 for both ends hinged, KL = 1×5000 = 5000, r = 28.2mm (from steel table), Ae = 7846 mm^2(from steel table)

KL/r = 5000/28.2 = 177.3

h/bf = 400/140 = 2.82, t = 16mm Therefore, buckling class = b

From table in IS code, fcd = 47.85MPa

Pd = Ae fcd = 7846 x 47.85 = 375.43 kN.