Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statics of loose triangular embankment under Nadai's sand hill analogy   In structural mechanics, Nadai's sand hill analogy is the interpretation of
an ultimate torque applied to a given structural member with a magnitude that
is analogously twice the volume of stable sand heap which can be accommodated
on a transverse cross-section basis. Nadai's analogy is accompanied by his
observation of a loose triangular embankment, based on the fact that
gravitating loose earth is stable if inclined just under the angle of repose.
However, Nadai's analysis of stress distribution in a planar sand heap was
found to be inaccurate because the total pressure obtained from Nadai's
solution is greater than the self-weight calculated from the heap geometry.
This raises a question about the validity of his observation in relation to the
analogy. To confirm his criterion, this article presents and corrects the error
found in Nadai's solution by analyzing a radially symmetric stress field for a
wedge-shaped sand heap with the purpose of satisfying both force balance and
Nadai's closure. The fundamental equation was obtained by letting the friction
state vary as a function of angular position and deduce it under the constraint
that the principal stress orientation obeys Nadai's closure. The theoretical
solution sufficiently agreed with the past experimental measurements.

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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: eess