Stresses in steel wire ropes transversely impacted by a punctual mass
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Date
2019-06
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad Nacional de Trujillo
Abstract
A deeper understanding in the transverse impact of wire ropes is
required to be able to design more and improved structures to reduce the
soaring loss of human lifes in traffic accident, by fall of object in mines and
the huge amount of rockfalls and landslides ubiquitous all along the rugged
geography that we have. By all these reasons, in this thesis are given the
mathematical models of the forces in the ends of a steel wire rope and the
movement of the body that impact transversely in its middle point. To achieve
these objectives, both ends of the wire rope are considered rigidly fixed,
reducing its geometry to an unidimensional elastic string and modeling the
body as a material point that could be a rock, automobile or any machinery
that could fall over a protection barrier, achieving this way a high level of
acceleration what in turn induces large displacements and internal stresses
around the contact zone in the wire rope. Next the models are validated
using the developed equations to calculate the reaction of the steel wire
ropes type 3x7 and 1x7, assuming equal conditions imposed in previous
investigations done about protection barriers. At the end is concluded that all
models, excepting the model of internal stresses, express the physics
present in the referred experiments and simulations thus contributing to
augment our knowledge about the transversal impact of steel wire ropes. And
additionally, it has been contributed with a method to determine the frontier
conditions in a transversely impacted string that can also be used as basis to
solve more general problems, as the oblique impact of wire ropes.
Description
A deeper understanding in the transverse impact of wire ropes is
required to be able to design more and improved structures to reduce the
soaring loss of human lifes in traffic accident, by fall of object in mines and
the huge amount of rockfalls and landslides ubiquitous all along the rugged
geography that we have. By all these reasons, in this thesis are given the
mathematical models of the forces in the ends of a steel wire rope and the
movement of the body that impact transversely in its middle point. To achieve
these objectives, both ends of the wire rope are considered rigidly fixed,
reducing its geometry to an unidimensional elastic string and modeling the
body as a material point that could be a rock, automobile or any machinery
that could fall over a protection barrier, achieving this way a high level of
acceleration what in turn induces large displacements and internal stresses
around the contact zone in the wire rope. Next the models are validated
using the developed equations to calculate the reaction of the steel wire
ropes type 3x7 and 1x7, assuming equal conditions imposed in previous
investigations done about protection barriers. At the end is concluded that all
models, excepting the model of internal stresses, express the physics
present in the referred experiments and simulations thus contributing to
augment our knowledge about the transversal impact of steel wire ropes. And
additionally, it has been contributed with a method to determine the frontier
conditions in a transversely impacted string that can also be used as basis to
solve more general problems, as the oblique impact of wire ropes.
Keywords
Transversal impact