Question Bank • QB_APE_EXP_088 MSQ • 2 Marks

Section 6: Agricultural Process Engineering

Storage Systems

Subtopic: Godowns, bins and grain silos

Question Statement:

Which of the following assumptions are fundamental to Janssen's equation for calculating lateral and vertical pressures in deep grain bins?

Options:

  • (A) Vertical pressure is uniformly distributed over any horizontal cross-section
  • (B) The ratio of lateral pressure to vertical pressure ($k = L/V$) is constant throughout the bin depth
  • (C) Friction between grain and bin wall is fully mobilized throughout the wall depth
  • (D) Bulk density of the grain increases linearly with square of bin depth

Answer Key:

A, B, C

Step-by-Step Solution & Explanation

Janssen's classical silo assumptions: - Uniform vertical pressure across horizontal cross-section. - Constant pressure ratio $k = \frac{1 - \sin\phi}{1 + \sin\phi}$. - Fully developed wall friction with constant coefficient $\mu'$. - Grain bulk density $\rho$ is assumed constant (not quadratically increasing).
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