Single Smooth Pin Support
Single Smooth Pin Support - Related Videos
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FAQs
The support's two-dimensional constraint is represented by two unknown force components, one horizontal and one vertical. Their values and directions adjust to counter the applied loading, while rotation remains unrestrained because the connection contributes no reaction moment. This idealization lets an engineer separate translational balance from rotational freedom when evaluating a beam, frame, or truss.
A missing reaction moment is significant because rotational restraint is not part of this connection model. Unlike a fixed support, which resists rotation and can transmit a moment, the smooth pin contributes only force reactions. Treating it as fixed would add an unsupported restraint and could produce an incorrect equilibrium model for the member.
Different applied-load arrangements require different values for the horizontal and vertical reaction components. Those components are selected so the combined reactions balance the external loading in the free-body diagram. Because the support does not transmit a reaction moment, changing the load pattern does not introduce rotational restraint.
Begin by drawing a free-body diagram of the member and replacing the single smooth pin with horizontal and vertical reaction components. Show the applied loads, then apply equilibrium conditions to determine the reactions. Those calculated forces can then support internal-force analysis and stability assessment.
Select this idealization when the structural member is intended to restrain translation without adding rotational restraint. It is therefore useful in equilibrium models for beams, frames, and trusses. The assumption keeps the support representation focused on the two force reactions, allowing the analysis to determine how external loading is carried without assigning a support moment.
Solving the support reactions provides the force information needed to balance the member under its external loading. The resulting equilibrium analysis also supports determination of internal forces and evaluation of structural stability. These outcomes help engineers judge how the modeled member responds within a beam, frame, or truss.
Use the support model only when the member's intended constraints match its assumptions. A pin supplies two force components, a roller permits motion in one direction, and a fixed support resists rotation. Comparing these idealizations before drawing the free-body diagram prevents incorrect reaction components or an inappropriate moment assignment.