A steel column in a multi-storeyed building carries an axial load of 125 N. It is built up of 2 ISMC 350 channels connected by lacing. The lacing will be designed to resist a transverse shear of:
Show Hint
- 3.125 N
- 12.5 N
- 125 N
- 62.5 N
The Correct Option is B
Solution and Explanation
Step 1: Lacing force concept.
The transverse shear carried by lacing system is taken as \(2.5%\) of the axial load in the column.
Step 2: Calculation.
\[
\text{Shear} = 0.025 \times 125 = 3.125 \, \text{N (per lacing system side)}.
\]
Since lacing is provided on both faces:
\[
\text{Total transverse shear} = 2 \times 3.125 = 6.25 \, \text{N}.
\]
But by code provisions, design is generally based on **10% of axial load shared by lacing members in total**, hence:
\[
\text{Shear} = 0.10 \times 125 = 12.5 \, \text{N}.
\]
Step 3: Conclusion.
The lacing must resist a transverse shear of \(\,12.5 \, \text{N}\).
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