The shear force for which each lacing shall be designed if two parallel systems of lacing is there in the column is
- A2.5% of axial force in the column
- B1.25% of axial force in the columnCorrect
- C50% of axial force in the column
- D25% of axial force in the column
Solution
Concept
Lacing is designed for a transverse shear of 2.5% of axial force. With two parallel lacing systems, each system takes half of it.
Formula
Vt = 0.025 P; shear per lacing system = Vt / 2 = 0.0125 P
Step-by-step solution
1. As per IS 800, total transverse shear for lacing: Vt = 2.5% of axial force P. 2. There are two parallel lacing systems (two planes). 3. Each system takes Vt / 2 = 2.5% / 2 = 1.25% of P. 4. Answer is (B).
Explanation
IS 800 asks lacing to resist a transverse shear of 2.5% of the column axial load. When there are two parallel lacing planes, this shear is shared equally. So each lacing system is designed for 1.25% of the axial force.
Why the other options are wrong
A is the total shear, not the share of each system. C and D are far too large and are not code values.
Shortcut
One lacing plane = 2.5% P; two planes = 1.25% P each.
Common mistake
Choosing 2.5% and forgetting to divide between the two parallel systems.
Correct answer: B) 1.25% of axial force in the column