Question Bank • QB_APE_EXP_103 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Storage Systems

Subtopic: Godowns, bins and grain silos

Question Statement:

A circular grain silo of radius $r = 2.0\text{ m}$ is filled with grain having internal angle of friction $\phi = 30^\circ$. Using Rankine's coefficient of active earth pressure $k = \frac{1 - \sin\phi}{1 + \sin\phi}$, calculate the value of $k$.

Answer Key:

0.333

Step-by-Step Solution & Explanation

$\sin(30^\circ) = 0.5$ $k = \frac{1 - 0.5}{1 + 0.5} = \frac{0.5}{1.5} = \frac{1}{3} \approx 0.3333$
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