As per IS 800 ∶ 2007, the slenderness ratio (λ) of a steel member is given by. __________. Where, L = Effective length of member, r = Radius of gyration of member.

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  1. λ = L × r
  2. λ = L/r
  3. λ = L - r
  4. λ = L + r

Answer (Detailed Solution Below)

Option 2 : λ = L/r
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Detailed Solution

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Explanation:

Slenderness ratio λ = \(Leff \over Radius \space of \space gyration\)

Radius of gyration = \(\sqrt {I\over A}\)

I= Moment of Inertia

A = Cross sectional Area

Additional Information

Member Max. effective slenderness ratio 
A member carrying compressive loads resulting from dead loads and imposed loads. 180
A tension member in which a reversal of direct stress occurs due to loads other than wind or seismic forces. 180
A member subjected to compression forces resulting only from the combination with wind/earthquake actions, provided the deformation of such member does not adversely affect the stress in any part of the structure. 250
Compression flange of a beam against lateral-torsional buckling. 300
A member normally acting m a tie in a roof truss or a bracing system not considered effective when subject to a possible reversal of stress into compression resulting from the action of wind or earthquake forces. 350
Members always under tension (other than pre-tensioned members). 400

 

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