A 600 mm square bearing plate settles by 15 mm in plate load test on a cohesionless soil under an intensity of loading of 0.2 N/ram2. The settlement of a prototype shallow footing 1 m square under the same intensity of loading is A. 15 mm B. Between 15 mm and 25 mm C. 25 mm D. Greater than 25 mm

15 mm
Between 15 mm and 25 mm
25 mm
Greater than 25 mm

The correct answer is: B. Between 15 mm and 25 mm.

The settlement of a footing is proportional to the square of the footing width and inversely proportional to the square of the bearing capacity of the soil. In this case, the footing width is doubled, but the bearing capacity of the soil is the same. Therefore, the settlement of the prototype footing will be between 15 mm and 25 mm.

Option A is incorrect because the settlement of the prototype footing will be greater than 15 mm. Option C is incorrect because the settlement of the prototype footing will be less than 25 mm. Option D is incorrect because the settlement of the prototype footing will not be greater than 25 mm.

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