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Load generators, soil

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Problem. The earth pressure generator is verified without running the solver. The active pressure coefficient is compared with the closed form.

Reference document. The Rankine and Jaky coefficients are used.

The active earth pressure coefficient is computed with the Rankine relation.

Ka=1−sin⁡φ1+sin⁡φK_a = \dfrac{1-\sin\varphi}{1+\sin\varphi}

Numerical model. There is no finite element model, and the coefficient is compared directly with the closed form.

Rankine active earth pressure coefficient

Parameters. φ = 30

Published source. The Rankine active earth pressure coefficient

Ka=(1−sin⁡φ)/(1+sin⁡φ)K_a = (1-\sin\varphi)/(1+\sin\varphi)
QuantityReferenceComputedDeviation
Active earth pressure coefficient at an internal friction angle of 30°0.3333330.3333330%
Earth pressure profiles: active, at-rest, with a surcharge and with a water table.Earth pressure profiles: active, at-rest, with a surcharge and with a water table.0204060-6-4-20Earth pressure profilesLateral pressureLevel z [m]Rankine active, φ = 30°At-rest pressure, JakyActive pressure with a 20 kPa surchargeActive pressure with the water table at -2 mPure hydrostatic

Earth pressure profiles: active, at-rest, with a surcharge and with a water table.