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Soil Mechanics and Foundation Engineering - Engineering

Q1:

The earth pressure of a soil at rest, is proportional to (where φ is the angle of internal friction of the soil)

A tan (45° - φ)

B tan (45° + φ)

C tan2 (45° - φ)

D tan2 (45° + φ)

E none of these

ANS:E - none of these

1-sin according to jacky.
0.9(1-sin) according to Fraser. Earth Pressure at Rest Ko = 1 - Sinθ.
Active Earth pressure Ka = tan2 (45 - φ/2).
Passive Earth Pressure Kp = tan2 (45 + φ/2). Earth pressure of soil at rest is Ko = 1-SIN (φ). Mann your answer is given in the option but answer is none of these. The earth pressure of a soil at rest, is proportional to tan^2(45°-φ/2).