High School

If the allowable bearing capacity of a soil is 375 kN/m\(^2\) and the safety factor (S.F.) is 2.5, determine the ultimate bearing capacity of the soil in kN/m\(^2\).

A. 1000
B. 937
C. 250
D. 150

Answer :

Final answer:

The ultimate bearing capacity of the soil, given an allowable bearing capacity of 375 kN/m2 and a safety factor of 2.5, is approximately 937.5 kN/m2. Therefore, option 'b. 937' is the most accurate answer.

Explanation:

The question involves geotechnical engineering concepts and requires the calculation of the ultimate bearing capacity of a soil based on the given allowable bearing capacity and safety factor (S.F.). The relationship between ultimate bearing capacity, allowable bearing capacity, and safety factor is expressed by the following equation:

Ultimate Bearing Capacity = Allowable Bearing Capacity x S.F.

In this case, by substituting the given values into this equation, we get:

Ultimate Bearing Capacity = 375 kN/m2 x 2.5

Hence, the ultimate bearing capacity of the soil is 937.5 kN/m2.

According to the options provided, the closest to this value is 937 kN/m2, so b. 937 will be the most accurate answer.

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