1.

Elastic critical moment is given by(a) (π/L){√[(EIyGIt) + (πE/L)^2IwIy]}(b) (π/L){√[(EIyGIt) – (πE/L)^2IwIy]}(c) (π/L){√[(EIyGIt) + (πE/L) IwIy]}(d) (π/L){ [(EIyGIt) – (πE/L)^2IwIy]}This question was posed to me in exam.My enquiry is from Lateral Torsional Buckling topic in division Design of Beams of Design of Steel Structures

Answer»

Correct answer is (a) (π/L){√[(EIyGIt) + (πE/L)^2IwIy]}

To elaborate: ELASTIC critical moment is given by MCR = (π/L){√[(EIyGIt) + (πE/L)2IwIy]}, where EIY = flexural rigidity(minor axis), GIt = torsional rigidity, It= St.Venant torsion constant, Iw = St.Venant warping constant, L = unbraced length of beam subjected to constant moment in PLANE of web.


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