Q.50 When designing steel structures, the effective length of battened compression members should be
- Adecreased by 20%
- Bincreased by 10%Correct
- Cdecreased by 10%
- Dincreased by 20%
Solution
Concept
Battens give less shear stiffness than lacing, so a battened column is weaker. Its effective length (slenderness ratio) is increased by 10%.
Formula
KLbattened = 1.1 × KL
Step-by-step solution
1. A battened column is a built-up column with main members joined by battens (plates). 2. Battens resist shear less well than lacing, so shear deformation is more. 3. This lowers the buckling strength of the column. 4. To allow for this, IS 800 increases the effective length (or effective slenderness ratio) by 10%. 5. So the answer is option (B).
Explanation
Battens connect the column parts less rigidly than lacing. So the column bends more and can buckle at a lower load. To be safe, the code increases the effective length by 10%.
Why the other options are wrong
(A) and (C) are wrong because decreasing the length would overestimate strength and be unsafe. (D) 20% is not the code value; the code uses a 10% increase.
Shortcut
Laced column: increase by 5%. Battened column: increase by 10%.
Common mistake
Mixing up the lacing value (5%) and the batten value (10%), or thinking the length should be reduced.
Correct answer: B) increased by 10%