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Work-in-Progress: Ambiguous Reaction Couples: A Universal Approach to Analyzing Bearing and Hinge Support Reactions in 3D Statically-Determinate Problems

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Conference

2021 ASEE Virtual Annual Conference Content Access

Location

Virtual Conference

Publication Date

July 26, 2021

Start Date

July 26, 2021

End Date

July 19, 2022

Conference Session

The ABCs of FBDs

Tagged Division

Mechanics

Page Count

16

Permanent URL

https://peer.asee.org/38213

Download Count

87

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Paper Authors

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Amir H. Danesh-Yazdi Rose-Hulman Institute of Technology

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Dr. Danesh-Yazdi is Assistant Professor of Mechanical Engineering at Rose-Hulman Institute of Technology.

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Shraddha Sangelkar Rose-Hulman Institute of Technology

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Shraddha Sangelkar is an Assistant Professor in Mechanical Engineering at Rose-Hulman Institute of Technology. She received her M.S. (2010) and Ph.D. (2013) in Mechanical Engineering from Texas A&M University. She completed the B. Tech (2008) in Mechanical Engineering from Veermata Jijabai Technological Institute (V.J.T.I.), Mumbai, India. She taught for 5 years at Penn State Behrend prior to joining Rose-Hulman.

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Eric Constans Rose-Hulman Institute of Technology

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Eric Constans is a Professor in Mechanical Engineering at the Rose-Hulman Institute of Technology. His research interests include engineering education, mechanical design and acoustics and vibration.

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Abstract

Having students develop an understanding on how to draw proper FBDs is perhaps the main objective of any Statics course and reactions due to supports are often a challenging part of this process. The most unusual supports that students encounter in Statics are hinges and bearings in three dimensions, which may or may not require reaction couples that need to be accounted for. Different textbooks have treated this topic in very different and sometimes confusing ways. In this paper, we introduce the ambiguous reaction couple approach to analyzing bearing and hinge supports in 3D statics problems. In this method, all the possible reaction couples are first considered during the drawing of the FBD and translation of the forces and moments to the equilibrium equations and subsequently a decision is made on whether to keep or discard each reaction couple with the help of an equations/unknown table. We provide three examples to show the application of this universal approach to different types of problems that involve bearing supports.

Danesh-Yazdi, A. H., & Sangelkar, S., & Constans, E. (2021, July), Work-in-Progress: Ambiguous Reaction Couples: A Universal Approach to Analyzing Bearing and Hinge Support Reactions in 3D Statically-Determinate Problems Paper presented at 2021 ASEE Virtual Annual Conference Content Access, Virtual Conference. https://peer.asee.org/38213

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