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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi - SAGE Publishing
2020-06-01
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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. |
first_indexed | 2024-03-12T18:08:57Z |
format | Article |
id | doaj.art-04b1a6b3c01443b9a2b67f30f9587130 |
institution | Directory Open Access Journal |
issn | 1550-1477 |
language | English |
last_indexed | 2024-03-12T18:08:57Z |
publishDate | 2020-06-01 |
publisher | Hindawi - SAGE Publishing |
record_format | Article |
series | International Journal of Distributed Sensor Networks |
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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