theory_of_elastic_stability_timoshenko_pdf_p4cl v1.0.0

Theory Of Elastic Stability Timoshenko Pdf

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It is not supposed that these structures are ideal. Ideal elasticity does not exist in reality. Every solid body is associated with a number of inelastic (or non-elastic) structures; for example, with particles, voids, or natural rocks which are not compressible or the whole system is fully rigid. The theory applies to all such structures as long as their deformation is negligible compared to the one produced by the applied load. Lubrication, creep, hysteretic effects, etc. are not included in such a theoretical approach. For these reasons, the theory of elasticity (or elasticity) cannot be reduced to a few simple equations which are so easy to solve. In fact, elasticity is a collection of general laws which are easily extended to a wide range of circumstances.

In this sense, the theory of elasticity is ideally suitable for dealing with real structures. All the laws and all the estimates are exact and no approximations are necessary. Moreover, elasticity theory is applicable to reversible loads, that is, to loads that can be used to perform work as well as to deform a structure.

However, it is theoretically incorrect to consider the equilibrium of an elastic body under constant load as the equilibrium under constant loads. In fact, a classical elasticity theory assumes that the load applied to an elastic body remains constant during an infinitesimally small time interval. This is an important restriction of the theory. In general, an elastic body is not in equilibrium under constant load. The assumption about the constancy of the load is equivalent to the assumption that the variation of the load is infinitesimally small. In this sense, the theory of the elastic stability is a generalization of the theory of elasticity to the non-linear case, i.e. to cases in which the increment of load is not infinitesimal but finite and depends on time. Therefore, the theory of elasticity is necessarily a theoretical step preceding the theory of elastic stability. In fact, it is recommended to read the theoretical part of the book first. 84d34552a1