In the structural design of grain storage structures, a bin is classified as a 'deep bin' (governed by Janssen's theory) rather than a 'shallow bin' (governed by Rankine's theory) when:
Options:
(A) The plane of rupture of the granular grain mass intersects the opposite bin wall before reaching the top free grain surface
(B) The height of the bin is strictly greater than $100\text{ m}$ regardless of diameter
(C) Wall friction is zero and hydrostatic pressure distribution prevails
(D) Grain flows strictly in laminar plug-flow regime with no wall shearing
Answer Key:
A
Step-by-Step Solution & Explanation
A bin is defined as deep when the rupture plane (the theoretical shear failure plane inclined at $45^\circ + \phi/2$) intersects the bin side wall before emerging at the free upper grain surface. Under this condition, wall friction supports a substantial portion of the grain weight, necessitating Janssen's or Airy's deep-bin analysis.