July 26, 2021
July 26, 2021
July 19, 2022
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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