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Given the size of column as 200 mm × 400 mm and soil bearing capacity of 150kN/m2. Assuming the concrete grade of M20 and Fe 415 and total weight as 330 kN, calculate the area of footing.
1. 2.42 m2
2. 3.42 m2
3. 4.24 m2
4. 3.06 m2

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Correct Answer - Option 1 : 2.42 m2

Concept:

The area of footing (Af) is given by

\(\rm A_f = \rm\frac{{Total~ load}}{{{Safe ~bearing ~capacity}}}\)

Calculation:

Given:

Load = 330 kN, Self weight = 10% of Given Load = 0.1 × 330 = 33 kN

Total Load = 330 + 33 = 363 kN

Safe bearing capacity = 150 kN/m2

\(\rm A_f = \rm\frac{{Total~ load}}{{{Safe ~bearing ~capacity}}}\)

\(A_f = \frac{{363}}{{150}} = 2.42\;{m^2} \)

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