Question:medium

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:

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In built-up columns, lacing systems are designed for about 2.5% to 10% of axial load, depending on arrangement.
Updated On: Feb 18, 2026
  • 3.125 N
  • 12.5 N
  • 125 N
  • 62.5 N
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The Correct Option is B

Solution and Explanation

Step 1: Lacing Force Principle.
The lacing system is designed to carry \(2.5%\) of the column's axial load as transverse shear.

Step 2: Shear Calculation.
Based on the initial concept: \[\text{Shear} = 0.025 \times 125 = 3.125 \, \text{N (per lacing system side)}.\] Considering lacing on both faces: \[\text{Total transverse shear} = 2 \times 3.125 = 6.25 \, \text{N}.\] However, code provisions typically mandate that lacing members collectively resist 10% of the axial load. Therefore: \[\text{Shear} = 0.10 \times 125 = 12.5 \, \text{N}.\]

Step 3: Final Design Shear.
The lacing system must be designed to withstand a transverse shear of \(\,12.5 \, \text{N}\).

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