Subtopic: Controlled and modified atmosphere storage
Question Statement:
A cylindrical shallow bin is filled with grains having angle of repose of 33°. The limiting height to diameter ratio of the bin is __________.
Official Answer Key:
1.83 to 1.85
Step-by-Step Solution & Explanation
• The limiting height-to-diameter ratio separating “shallow-bin” from “deep-bin” lateral-pressure behaviour is derived from Rankine’s passive earth-pressure relation applied to the grain mass, giving the classical result (H/D)limit = tan(45° + φ/2), where φ is the angle of repose (used here as a surrogate for the internal friction angle).
• With φ = 33°: (H/D)limit = tan(45° + 16.5°) = tan(61.5°) ≈ 1.84, inside the accepted range 1.83–1.85.
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