A rapid method of approximating the asymptote to an iterative sequence

A s t ra in -ana lys i s m e t h o d is de r ived a n d d e m o n s t r a t e d for t h e ca lcu la t ion of des ign a l lowable l oad s t r a in c u r v e s for t h e cross sec t ion of a s t r u c t u r e s u p p o r t i n g axial l oads a n d b e n d i n g m o m e n t s . T h e t e m p e r a t u r e effects of t h e r m a l s t resses and changed ma te r i a l p rope r t i e s a n d all inelas t ic effects a r e inc luded in t h e ca lcu la t ions so t h a t t h e final c u r v e is a design c u r v e for t h e app l i ed s t resses a s ca l cu la t ed b y r o o m t e m p e r a t u r e elast ic p rocedures . T h e m e t h o d al lows for sequence app l i ca t ion a n d r e m o v a l of l o a d a n d t e m p e r a t u r e , a s well as cycl ing of l oad a n d / o r t e m p e r a t u r e . App l i ca t ions a r e shown for a r e c t a n g u l a r b a r u n d e r t e m p e r a t u r e cycl ing w i th axial l oads a n d / o r b e n d i n g m o m e n t s a n d for a b o x b e a m w i t h one b e n d i n g m o m e n t t e m p e r a t u r e cycle. I n t e r a c t i o n c u r v e s b e t w e e n axial load a n d b e n d i n g m o m e n t w i th inelas t ic effects inc luded a r e given, t h e ca lcu la t ions be ing d o n e on a d ig i t a l c o m p u t e r . A p r o c e d u r e is g iven for us ing t h e m e t h o d t o con s t r u c t design curves .

A rapid method of approximating the asymptote to an iterative sequence

References

Allowable Axial Loads and Bending Moments for Inelastic Structures Under Nonuniform Temperature Distribution

A Simple Method of Matric Structural Analysis: Part IV—Nonlinear Problems

Related Papers (5)

A composite iterative procedure with fast convergence rate for the progressive-iteration approximation of curves

Generalized root iterations

Improving the convergence of iterative methods

An Iterative Method for Obtaining Decreasing Sequences of Upper Bounds of Functionals

Higher-order iteration functions for simultaneously approximating polynomial zeros