Elastic-Plastic Large Deflection Analysis of Steel Framed Structures

Yau, Curtis; Ho, Goman; Chan, Siu Lai

doi:10.1016/b978-0-444-89991-0.50102-5

Cited by 2 publications

(1 citation statement)

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“…However, his work was limited to the bending loads and did not consider the effects of combined loads. The same limitation was found in the works of Yau et al 15 and Hong. 16 Yu and Hua 17 constructed an interaction surface (also known as yield surface) between the axial, direct shear, and bending loads using the slip-line elds.…”

Section: Introductionsupporting

confidence: 51%

Reliability-Based Structural Optimization of an Elastic-Plastic Beam

2003

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The application of reliability-based optimization to an elastic-plastic beam is studied. The objective is to demonstrate the bene ts of reliability-based optimization over the deterministic optimization in such applications where the design requirements of the member tolerate some plastic behavior. Also, some of the dif culties that one might encounter while performing reliability-based optimization of elastic-plastic beams are addressed. A graphical method was used here to avoid the problems of high nonlinearity and derivative discontinuity of the reliability function. The method starts by obtaining a deterministic optimum design that has the lowest possible weight for a prescribed safety factor, and, based on that design, the method obtains an improved optimum design that has either a higher reliability or a lower weight or cost. In this application three failure modes are considered for an elastic-plastic beam of T cross section under combined axial, bending, and shear loads. The failure modes are based on the beam total plastic failure in a section, buckling, and maximum allowable de ection. The results show that it is possible to get improved optimum designs (more reliable or lighter) using reliability-based optimization as compared to the design given by deterministic optimization. Also, the results show that the reliability function can be highly nonlinear with respect to the design variables with discontinuous derivatives.

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Section: Introductionsupporting

confidence: 51%