St. Venant Problem for a Continuous Nonuniform Anisotropic Beam,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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The St. Venant problem for a uniform isotropic prismatic or cylindrical beam is one of the most simple problems in the classical linear theory of elasticity. However, it can be considerably complicated if the body is not uniform and isotropic, i.e., its elastic properties are different at various points and in various directions. Without considering the problem in all its generality, the author studies the case of an orthotropic beam, i.e., a beam which has at every point three orthogonal and respectively parallel planes of elastic symmetry, with absolute values and coefficients of elasticity assigned as continuous functions of two coordinates having derivatives to the second order inclusively.
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