Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On shear and torsion factors in the theory of linearly elastic rods   Lower bounds for the factors entering the standard notions of shear and
torsion stiffness for a linearly elastic rod are established in a new and
simple way. The proofs are based on the following criterion to identify the
stiffness parameters entering rod theory: the rod's stored-energy density per
unit length expressed in terms of force and moment resultants should equal the
stored-energy density per unit length expressed in terms of stress components
of a Saint-Venant cylinder subject to either flexure or torsion, according to
the case. It is shown that the shear factor is always greater than one,
whatever the cross section, a fact that is customarily stated without proof in
textbooks of structure mechanics; and that the torsion factor is also greater
than one, except when the cross section is a circle or a circular annulus, a
fact that is usually proved making use of Saint-Venant's solution in terms of
displacement components.

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The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas