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Answer :
The correct statement is (a): The contact pressure between the footing and the clay is 500 kPa.
The contact pressure between the footing and the clay can be calculated by dividing the applied load by the area of the footing. In this case, the load is 500 kN and the area of the footing is 1 m².
Contact Pressure = Load / Area
Contact Pressure = 500 kN / 1 m²
Contact Pressure = 500 kPa
Therefore, the correct statement is (a): The contact pressure between the footing and the clay is 500 kPa.
Now, let's consider the vertical stress induced at a depth of 1 m below the center of the footing in the clay. The vertical stress is given by the contact pressure multiplied by the depth.
Vertical Stress = Contact Pressure * Depth
Vertical Stress = 500 kPa * 1 m
Vertical Stress = 500 kPa
The vertical stress induced at 1 m depth below the center of the footing in the clay is equal to the contact pressure, which is 500 kPa. Therefore, the correct statement is not (c): The vertical induced stress at 1 m depth below the center of the footing in the clay is more than 500 kPa.
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