Asee peer logo

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

Download Paper |

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

DOI

10.18260/1-2--38213

Permanent URL

https://peer.asee.org/38213

Download Count

1167

Paper Authors

biography

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

visit author page

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

visit author page

biography

Shraddha Sangelkar Rose-Hulman Institute of Technology

visit author page

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.

visit author page

biography

Eric Constans Rose-Hulman Institute of Technology

visit author page

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.

visit author page

Download Paper |

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. 10.18260/1-2--38213

ASEE holds the copyright on this document. It may be read by the public free of charge. Authors may archive their work on personal websites or in institutional repositories with the following citation: © 2021 American Society for Engineering Education. Other scholars may excerpt or quote from these materials with the same citation. When excerpting or quoting from Conference Proceedings, authors should, in addition to noting the ASEE copyright, list all the original authors and their institutions and name the host city of the conference. - Last updated April 1, 2015