By J.T. Boyle and J. Spence (Auth.)

Butter worth-Heinemann Ltd, 1983. ebook stable

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This will be found to be generally true for structures under cyclic load, even if a better material model is used. 15 Variation of residual displacement with time This asymptotic stress state is called the cyclic stationary state. 15 the residual vertical deflection q(t) - q°(t) is shown where q° is the equivalent elastic solution; it is to be noted that this does not reach a cyclic state. 5 Example: Relaxation of a beam in bending There is a tendency in thinking about creep to consider constant-load, or prescribed load, situations, where the deformations have to be estimated with time, exclusively.

The well known elastic procedures would lead to complicated nonlinear differential equations. However, it has been found that for plane stress problems, a simple trans­ formation can clarify the equations. The principal stresses can be expressed in the form 2 _ 2 _ or = —r- o sin (if - 7r/6) O0 = —— o sin (

Thus in principle we have determined the stresses for the problem from the loading alone, viz. the problem is statically determinate. ) where u is the meridional displacement and w the normal displacement of the mid-surface. 36) \^ ^ sin

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