The elastic response of inhomogeneous orthotropic beams with general cross-section and subject to uniform torsion is investigated. The problem is formulated both in terms of the warping and of the Prandtl stress function. Moreover, the exact solution for rectangular orthotropic beams constituted by any number of layers is derived, making use of a series form which is unaffected by unstable behaviours. Several examples are presented, showing that approximate solutions based on simplified kinematical models can yield very poor estimates of the torsional rigidity. Finally, it is shown that the plating of homogeneous beams by means of thin carbon or glass fibre-reinforced laminae can be used to make the torsional rigidity 8-10 times as much.
Torsional response of inhomogeneous and multilayered composite beams
TULLINI, Nerio
1993
Abstract
The elastic response of inhomogeneous orthotropic beams with general cross-section and subject to uniform torsion is investigated. The problem is formulated both in terms of the warping and of the Prandtl stress function. Moreover, the exact solution for rectangular orthotropic beams constituted by any number of layers is derived, making use of a series form which is unaffected by unstable behaviours. Several examples are presented, showing that approximate solutions based on simplified kinematical models can yield very poor estimates of the torsional rigidity. Finally, it is shown that the plating of homogeneous beams by means of thin carbon or glass fibre-reinforced laminae can be used to make the torsional rigidity 8-10 times as much.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
