To account for shear deformation, the effective slenderness ratio of battened columns shall be taken as
- A1.1 times the maximum actual slenderness ratio of the columnCorrect
- B2.5 times the maximum actual slenderness ratio of the column
- C1.25 times the maximum actual slenderness ratio of the column
- D0.9 times the maximum actual slenderness ratio of the column
Solution
Concept
In battened columns, shear deformation reduces strength, so IS 800:2007 increases the slenderness ratio by 10%.
Formula
λe = 1.1 × λmax
Step-by-step solution
1. A battened column has main members joined by battens, not by a full web. 2. The battens and the joints bend under shear, so the column is more flexible. 3. IS 800:2007 accounts for this by increasing the slenderness ratio. 4. Effective slenderness ratio = 1.1 × maximum actual slenderness ratio. 5. Answer is (A).
Explanation
Battened columns deform more in shear than solid columns. To allow for this, IS 800:2007 takes the effective slenderness ratio as 1.1 times the maximum actual slenderness ratio. This gives a lower, safer design compressive strength.
Why the other options are wrong
B: 2.5 is far too large and is not a code value. C: 1.25 is not the code factor for battened columns. D: 0.9 would reduce slenderness, which is unsafe and wrong.
Shortcut
Battened column means 1.1 × λ (10% increase).
Common mistake
Confusing it with the 1.05 factor sometimes used for laced columns.
Correct answer: A) 1.1 times the maximum actual slenderness ratio of the column