Sway Mechanism in Frame Structures; Using Concept of Quantum Displacement

Abstract: Sway displacement is the characteristic virtual and lateral displacement of frame structures, as a result of their response to load applications and internal actions within the structural system, and the attainment of dynamic and static equilibrium expected for the system. ( eg, ΣF = 0, and ΣM = 0 ). Similarly, non-sway frames are structures considered to have small or negligible inter-storey displacements in structural mechanics analysis, which allows for the computation of the effect of applied loads, such as, deformation, deflection, displacement and internal forces within the structure, that can also ensure the stable equilibrium condition in real life structural loadings. The paper is theoretical evaluation of cause of sway and lateral movement in structures, since such movement can affect the stability of the system. The quantum state will provide a probable assessment for the outcome of measurement on the structural system performance, such as the tolerable critical displacement and deformation limits. Quantum realm and scale, is the condition where the action or angular momentum is quantized, since the expected lateral movement and sway in structural frames are negligible and relatively very small in scalar magnitude.  Displacement is a vector, whose length is the shortest distance from the initial to a final position of point P, and the displacement vector is usually expressed as the difference between the final and initial position vectors (V_ijk , U_ijk ). Constraint to lateral movement can be provided using the shear wall, within the structural system to act as restraint and to reduce the sway movements to minimal, negligible and acceptable magnitude. In conclusion, action of forces on structures, must not cause significant motion (ie static equilibrium) nor excessive deformation, therefore critical evaluation of all loading conditions that could affect the performance must be ensured adequate, such as to minimized and curtailed lateral movement as a result of excessive deformation and reduction in structural ability and strength over time period.

Sway Mechanism, Displacement, Structures, Rigid body, Static equilibrium, Deformation

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