Sprężysto-Plastyczne Ugięcia Prętów Słabo Zakrzywionych o Dowolnym Przekroju

The paper concerns the application of the method of substitute "multipoint sections" described in Refs. [5, 6, 8] for approximate computation of the elastic-plastic deflection of a bar of weak curvature. This method consists in replacing the given section of the bar by a "multipoint s...

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Main Author: J. Orkisz
Format: Article
Language:English
Published: Institute of Fundamental Technological Research 1966-12-01
Series:Engineering Transactions
Online Access:https://et.ippt.pan.pl/index.php/et/article/view/2740
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author J. Orkisz
author_facet J. Orkisz
author_sort J. Orkisz
collection DOAJ
description The paper concerns the application of the method of substitute "multipoint sections" described in Refs. [5, 6, 8] for approximate computation of the elastic-plastic deflection of a bar of weak curvature. This method consists in replacing the given section of the bar by a "multipoint section" (Fig. 1) composed of "concentrated flanges". This enables, for a perfect elastic-plastic body, and a body with sectional linear strain hardening, the obtainment of a linear, therefore the simplest possible relation between the bending moment or the longitudinal force and the curvature of the bar (cf. (2.1)), independently of the form of its cross-section. The equations of small elastic-plastic deflections of straight bars obtained in Ref. [8] and the corresponding equations for large deflections obtained in Ref. [9] are generalized in the present paper to the case of bars with weak (constant) curvature. As a result are obtained simple equations resembling the former ones and describing the deformed bar.
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spelling doaj-art-d17ca8a039884631a09a15b33a812f522025-07-11T05:02:10ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711966-12-01144Sprężysto-Plastyczne Ugięcia Prętów Słabo Zakrzywionych o Dowolnym PrzekrojuJ. Orkisz0Politechnika KrakowskaThe paper concerns the application of the method of substitute "multipoint sections" described in Refs. [5, 6, 8] for approximate computation of the elastic-plastic deflection of a bar of weak curvature. This method consists in replacing the given section of the bar by a "multipoint section" (Fig. 1) composed of "concentrated flanges". This enables, for a perfect elastic-plastic body, and a body with sectional linear strain hardening, the obtainment of a linear, therefore the simplest possible relation between the bending moment or the longitudinal force and the curvature of the bar (cf. (2.1)), independently of the form of its cross-section. The equations of small elastic-plastic deflections of straight bars obtained in Ref. [8] and the corresponding equations for large deflections obtained in Ref. [9] are generalized in the present paper to the case of bars with weak (constant) curvature. As a result are obtained simple equations resembling the former ones and describing the deformed bar.https://et.ippt.pan.pl/index.php/et/article/view/2740
spellingShingle J. Orkisz
Sprężysto-Plastyczne Ugięcia Prętów Słabo Zakrzywionych o Dowolnym Przekroju
Engineering Transactions
title Sprężysto-Plastyczne Ugięcia Prętów Słabo Zakrzywionych o Dowolnym Przekroju
title_full Sprężysto-Plastyczne Ugięcia Prętów Słabo Zakrzywionych o Dowolnym Przekroju
title_fullStr Sprężysto-Plastyczne Ugięcia Prętów Słabo Zakrzywionych o Dowolnym Przekroju
title_full_unstemmed Sprężysto-Plastyczne Ugięcia Prętów Słabo Zakrzywionych o Dowolnym Przekroju
title_short Sprężysto-Plastyczne Ugięcia Prętów Słabo Zakrzywionych o Dowolnym Przekroju
title_sort sprezysto plastyczne ugiecia pretow slabo zakrzywionych o dowolnym przekroju
url https://et.ippt.pan.pl/index.php/et/article/view/2740
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