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# General Bearing Capacity Equation: Brinch Hansen’s Analysis

For purely cohesive soil, Nc has a maximum value of ___________ for square footing.

a) 5

b) 7.5

c) 9

d) 10

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Answer: c

Explanation: According to Skempton’s observation, for purely cohesive soil (φ = 0) Nc has a maximum value of 9 for square or circular footing.

The Brinch Hansen shape factor can be applied to ___________ for the case of rectangular footing.

a) Skempton value of Nc

b) Terzaghi’s equation

c) Meyerhof’s equation

d) None of the mentioned

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Answer: a

Explanation: The Brinch Hansen shape factor can be applied to the Nc values from Skempton for the rectangular footing.

Hansen considered the bearing capacity as a ____________

a) Tri axial problem

b) Base factor

c) Plane-strain problem

d) All of the mentioned

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Answer: c

Explanation: Brinch Hansen considered the bearing capacity as a plane-strain problem. If φ is found by tri axial test, its corresponding value for the plane strain case can be computed.

Bowel suggested that the increase in φ in plane-strain case can be computed only for φ greater than ____________

a) 30

b) 25

c) 60

d) 90

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Answer: b

Explanation: Bowel suggests that the increase of φ in the equation φ plain strain = 1.1 φ tri axial can be computed only for φ greater than 25°.

Skempton observed that the factor Nc increases with the ratio ___________

a) D/B

b) B/D

c) H/Hc

d) c/cm

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Answer: a

Explanation: Based partly on theory and partly on the laboratory test, Skempton observed that the factor Nc increases with the ratio D/B.

When D=0, the value of Nc for strip footing will be ____________

a) 6.20

b) 2.5

c) 5.14

d) 7.5

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Answer: a

Explanation: According to Skempton recommendation, the value of Nc = 5.14 for strip footing when D=0 and Nc = 6.20 for square or circular footing.

Which of the following value can be taken [Nc] surface for surface footing?

a) 6

b) 5

c) 2.1

d) 9

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Answer: a

Explanation: Value of [Nc] surface may be roughly taken as 5 for surface strip footing and as 6 for square or circular footing.

The term ‘i’ in Hansen equation represents ___________

a) Depth factor

b) Shape factor

c) Ground factor

d) Inclination factor

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Answer: d

Explanation: According to Brinch Hansen’s equation, i represent the inclination factor to account for both horizontal and vertical components of foundation loads.