Step 1: Understand the role of the lacing system.
In a steel built-up column, the lacing system resists transverse shear due to imperfections or eccentricities, as per IS 800:2007 (Clause 7.6.2).
Step 2: Calculate the transverse shear force.
As per IS 800:2007, the lacing system should resist a transverse shear of 2.5% of the axial force. Given axial force = 1200 kN: \[ \text{Transverse shear} = 0.025 \times 1200 \, \text{kN} = 30 \, \text{kN}. \]
Step 3: Compare with the options.
The calculated transverse shear of 30 kN matches option (3), confirming the solution.