A battened column subjected to an axial force of 1100 kN. Battens are placed at 1.25 m centre to centre. Depth of batten plate is 300 mm, length is 363 mm, thickness is 6 mm and on two planes. The bending moment in the batten is:

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  1. 9.6 kNm
  2. 8.6 kNm
  3. 10.6 kNm
  4. 7.6 kNm

Answer (Detailed Solution Below)

Option 2 : 8.6 kNm

Detailed Solution

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Concept:

The design shear and moments for batten plates is given by,

\({{\rm{V}}_{\rm{b}}} = \frac{{{{\rm{V}}_{\rm{t}}}{\rm{C}}}}{{{\rm{NS}}}}\) and \({\rm{M}} = \frac{{{{\rm{V}}_{\rm{t}}}{\rm{C}}}}{{2{\rm{N}}}}\)

Where,

Vt = Transverse shear force (2.5% of axial load)

C = Distance between centre to centre of battens longitudinally

N = Number of parallel planes

S = Minimum transverse distance between the centroid of the fasteners connecting batten to the main member.

Calculation:

Given: C = 1.25 m, and N = 2

Vt = 2.5% of axial force = 1100 × 2.5/100 = 27.5 kN

∴ Bending moment, \({\rm{M}} = \frac{{27.5 \times 1.25}}{{2 \times 2}} = 8.6{\rm{\;kNm}}\)
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