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Non-dimensional slenderness ratio is given by(a) λLT = √(βbZpfy/Mcr)(b) λLT = √(βbZpfyMcr)(c) λLT = √(βbZp/Mcr)(d) λLT = √(βbZpfy)I got this question in an international level competition.I want to ask this question from Design Strength of Laterally Unsupported Beams topic in chapter Design of Beams of Design of Steel Structures

Answer»

Correct choice is (a) λLT = √(βbZpfy/Mcr)

To explain: Non-dimensional SLENDERNESS RATIO is GIVEN by λLT = √(βbZpfy/Mcr), where βb= 1 for plastic and compact sections, βb= Ze/ZP for semi-compact sections, Ze = elastic section modulus, Zp = plastic section modulus, Mcris elastic CRITICAL moment.



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