Load capacity ratios for structures

Lior Falach; Reuven Segev

doi:10.1016/j.cma.2009.09.024

Load capacity ratios for structures

Lior Falach, Reuven Segev

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

For a given structure made of a perfectly plastic material with a yield stress s_Y, we consider the load capacity ratio of the structure: the largest positive number C, depending only on the geometry of the structure, which satisfies the following property. For any loading distribution f on the structure whose maximum is f_max, the structure will not undergo plastic collapse as long as f_max ≤ s_Y C, independently of the distribution of the load. The paper presents the mathematical aspects, related mechanical notions, algorithms and examples corresponding to load capacity ratios of structures.

Original language	English
Pages (from-to)	77-93
Number of pages	17
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	199
Issue number	1-4
DOIs	https://doi.org/10.1016/j.cma.2009.09.024
State	Published - 1 Dec 2009

Keywords

Limit analysis
Load capacity ratio
Multi-parameter loading
Optimization
Stress analysis
Structural analysis

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/j.cma.2009.09.024

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title = "Load capacity ratios for structures",

abstract = "For a given structure made of a perfectly plastic material with a yield stress sY, we consider the load capacity ratio of the structure: the largest positive number C, depending only on the geometry of the structure, which satisfies the following property. For any loading distribution f on the structure whose maximum is fmax, the structure will not undergo plastic collapse as long as fmax ≤ sY C, independently of the distribution of the load. The paper presents the mathematical aspects, related mechanical notions, algorithms and examples corresponding to load capacity ratios of structures.",

keywords = "Limit analysis, Load capacity ratio, Multi-parameter loading, Optimization, Stress analysis, Structural analysis",

author = "Lior Falach and Reuven Segev",

note = "Funding Information: This work was partially supported by the Paul Ivanier Center for Robotics Research and Production Management at Ben-Gurion University. The manuscript was written during the sabbatical visit of R. Segev to the Department of Mechanical and Aerospace Engineering at the University of California, San Diego, hosted by J. Goddard. ",

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AU - Segev, Reuven

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N2 - For a given structure made of a perfectly plastic material with a yield stress sY, we consider the load capacity ratio of the structure: the largest positive number C, depending only on the geometry of the structure, which satisfies the following property. For any loading distribution f on the structure whose maximum is fmax, the structure will not undergo plastic collapse as long as fmax ≤ sY C, independently of the distribution of the load. The paper presents the mathematical aspects, related mechanical notions, algorithms and examples corresponding to load capacity ratios of structures.

AB - For a given structure made of a perfectly plastic material with a yield stress sY, we consider the load capacity ratio of the structure: the largest positive number C, depending only on the geometry of the structure, which satisfies the following property. For any loading distribution f on the structure whose maximum is fmax, the structure will not undergo plastic collapse as long as fmax ≤ sY C, independently of the distribution of the load. The paper presents the mathematical aspects, related mechanical notions, algorithms and examples corresponding to load capacity ratios of structures.

KW - Limit analysis

KW - Load capacity ratio

KW - Multi-parameter loading

KW - Optimization

KW - Stress analysis

KW - Structural analysis

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EP - 93

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 1-4

ER -

Load capacity ratios for structures

Abstract

Keywords

ASJC Scopus subject areas

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