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Structural Stability and Determinacy - uap-bd.edu

1 Structural Stability and Determinacy Stability is an essential precondition for a structure to be able to carry the loads it is subjected to, and therefore being suitable for Structural analysis. Since Structural analysis is based on solving the unknown forces (or displacements) within a structure using some equations, it is essentially the comparison of the equations and unknowns that determine the Stability of a Structural system. Statical Determinacy of a structure is a concept closely related to its Stability . Once a structure is determined to be stable, it is important to determine whether it remains in equilibrium; , if it can be analyzed by the concepts of statics alone, particularly for hand calculation.

Draw the AFD, SFD and BMD of the three-storied, two-bay frame loaded as shown below, assuming (i) internal hinge at the midspan of each column and beam, (ii) no axial force at middle columns. J k The rest of the calculations follow from the free-4 C AC A 80 30 15 15 12k 8k 4 12 0 0 Column SFD (k) -ft) Beam SFD (k) Column AFD (k) 122 -10.67

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