A combined loading transducer for calculating the bending moment and torque in a slender circular beam using the minimum numbers of strain gauges, strain grids, and measurement channels

The purpose of this work is to develop a new methodology that uses the minimum numbers of strain gauges, strain grids, and measurement channels to calculate the bending moment and torque in a slender circular beam under combined loading from measured strains in it. In general, each independent varia...

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Main Authors: Bernard J Socha, Edward T Bednarz, Wei-Dong Zhu
Format: Article
Language:English
Published: Hindawi - SAGE Publishing 2020-06-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1177/1550147720921774
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author Bernard J Socha
Edward T Bednarz
Wei-Dong Zhu
author_facet Bernard J Socha
Edward T Bednarz
Wei-Dong Zhu
author_sort Bernard J Socha
collection DOAJ
description The purpose of this work is to develop a new methodology that uses the minimum numbers of strain gauges, strain grids, and measurement channels to calculate the bending moment and torque in a slender circular beam under combined loading from measured strains in it. In general, each independent variable requires a minimum of one independent measurement. Two grids of a single-rosette strain gauge located at 45° and −45° from the longitudinal axis of the beam are used in conjunction with two measurement channels to gather all measurements and form a combined loading transducer. A theoretical set of equations of the new methodology is developed to minimize numbers of strain grids and measurement channels, and an experimental configuration was tested in a variety of scenarios. Calibration factors were independently developed for the bending moment and torque of the beam by separately loading it in their respective directions. These calibration factors were applied to different combined loading scenarios, where errors were found to be on average 1.6% for moment comparison and 6.7% for torque comparison.
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spelling doaj.art-04b1a6b3c01443b9a2b67f30f95871302023-08-02T09:17:47ZengHindawi - SAGE PublishingInternational Journal of Distributed Sensor Networks1550-14772020-06-011610.1177/1550147720921774A combined loading transducer for calculating the bending moment and torque in a slender circular beam using the minimum numbers of strain gauges, strain grids, and measurement channelsBernard J Socha0Edward T Bednarz1Wei-Dong Zhu2Wilkes University, Wilkes-Barre, PA, USAWilkes University, Wilkes-Barre, PA, USAUniversity of Maryland, Baltimore County, Baltimore, MD, USAThe purpose of this work is to develop a new methodology that uses the minimum numbers of strain gauges, strain grids, and measurement channels to calculate the bending moment and torque in a slender circular beam under combined loading from measured strains in it. In general, each independent variable requires a minimum of one independent measurement. Two grids of a single-rosette strain gauge located at 45° and −45° from the longitudinal axis of the beam are used in conjunction with two measurement channels to gather all measurements and form a combined loading transducer. A theoretical set of equations of the new methodology is developed to minimize numbers of strain grids and measurement channels, and an experimental configuration was tested in a variety of scenarios. Calibration factors were independently developed for the bending moment and torque of the beam by separately loading it in their respective directions. These calibration factors were applied to different combined loading scenarios, where errors were found to be on average 1.6% for moment comparison and 6.7% for torque comparison.https://doi.org/10.1177/1550147720921774
spellingShingle Bernard J Socha
Edward T Bednarz
Wei-Dong Zhu
A combined loading transducer for calculating the bending moment and torque in a slender circular beam using the minimum numbers of strain gauges, strain grids, and measurement channels
International Journal of Distributed Sensor Networks
title A combined loading transducer for calculating the bending moment and torque in a slender circular beam using the minimum numbers of strain gauges, strain grids, and measurement channels
title_full A combined loading transducer for calculating the bending moment and torque in a slender circular beam using the minimum numbers of strain gauges, strain grids, and measurement channels
title_fullStr A combined loading transducer for calculating the bending moment and torque in a slender circular beam using the minimum numbers of strain gauges, strain grids, and measurement channels
title_full_unstemmed A combined loading transducer for calculating the bending moment and torque in a slender circular beam using the minimum numbers of strain gauges, strain grids, and measurement channels
title_short A combined loading transducer for calculating the bending moment and torque in a slender circular beam using the minimum numbers of strain gauges, strain grids, and measurement channels
title_sort combined loading transducer for calculating the bending moment and torque in a slender circular beam using the minimum numbers of strain gauges strain grids and measurement channels
url https://doi.org/10.1177/1550147720921774
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