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Load generators, silo

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Problem. The silo load generator is tested without running the solver. The vertical equilibrium balance of the Janssen pressure is checked.

Reference document. Janssen (1895) and EN 1991-4 Section 5 are used.

The horizontal pressure in the silo grows with depth according to the Janssen relation.

ph(z)=ph0(1−e−z/z0)p_h(z) = p_{h0}\left(1 - e^{-z/z_0}\right)

Numerical model. The friction transferred to the wall plus the vertical pressure reaching the base must equal the weight of the stored material.

Vertical equilibrium in the Janssen solution

Parameters. section = 5×4 m · depth = 12 · μ = 0.4 · K = 0.5

Published source. Janssen (1895) and EN 1991-4 Section 5

QuantityReferenceComputedDeviation
Base force plus wall friction, against the stored weight2,1602,1600%