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Design a built-up column carrying an axial load of 1200 KN.
Its length is 8m and it is effectively held in position at
both ends and restrained against rotation at one end.
Assume yield stress of 250 mpa

Answer Posted / Amrit Kumar Vashistha

To design a built-up column carrying an axial load of 1200 kN with a length of 8 m, you can use steel sections such as channels or angles. Here's an example solution using four equal CH250x100 channel sections:

Number of sections = Load / (Yield stress * Cross-sectional area per section)
Load/section = 1200 kN / 4 = 300 kN
Area per section = 250 mm x 100 mm x 1 = 25,000 mm^2 = 25,000 cm^2 = 0.025 m^2
Yield stress = 250 MPa = 250 N/mm^2

Axial load per section = 300 kN = 3,000,000 N
Yield force per section = 3,000,000 N / 250 N/mm^2 = 12,000 mm = 12 m (assuming no end fixity)

Therefore, the column length should be greater than 12 m to accommodate four equal sections with an overall length of 8 m.

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