Location

Saint Louis, Missouri

Session Start Date

10-18-1994

Abstract

A paper presented at the Eleventh Speciality Conference in 1992(1) introduced the Generalized Beam Theory (GBT) and illustrated its use. It was used in ftrst-order analyses t0 calculate the stress distribution in a cross section takeing account of cross section distortion, and in second-order bifurcation problems to calculate the critical buckling load of a free cross section subject to axial load. Subsequent papers(2,3) have given more detailed information on the basis of GBT and used its second-order facilities to investigate the buckling of sections under both uniform and non-uniform bending moment. This paper extends the use of GBT to consider the behaviour of a cross section which is elastically restrained continuously along its length. A typical application of this facility is in the analysis of a purlin which receives both lateral and torsional restraint from the sheeting which it supports. The paper illustrates how the basic equations of GBT can be used to calculate the buckling load of an elastically restrained cross section taking account of interaction between the different buckling modes. Using this estimate of the buckling load, an assessment of the collapse load of a restrained section can be made using the interaction formulae of Eurocode 3(4) to allow for both buckling and yielding.

Department(s)

Civil, Architectural and Environmental Engineering

Research Center/Lab(s)

Wei-Wen Yu Center for Cold-Formed Steel Structures

Meeting Name

12th International Specialty Conference on Cold-Formed Steel Structures

Publisher

University of Missouri--Rolla

Publication Date

10-18-1994

Document Version

Final Version

Rights

© 1994 University of Missouri--Rolla, All rights reserved.

Document Type

Article - Conference proceedings

File Type

text

Language

English

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Oct 18th, 12:00 AM

The Analysis of Restrained Purlins Using Generalised Beam Theory

Saint Louis, Missouri

A paper presented at the Eleventh Speciality Conference in 1992(1) introduced the Generalized Beam Theory (GBT) and illustrated its use. It was used in ftrst-order analyses t0 calculate the stress distribution in a cross section takeing account of cross section distortion, and in second-order bifurcation problems to calculate the critical buckling load of a free cross section subject to axial load. Subsequent papers(2,3) have given more detailed information on the basis of GBT and used its second-order facilities to investigate the buckling of sections under both uniform and non-uniform bending moment. This paper extends the use of GBT to consider the behaviour of a cross section which is elastically restrained continuously along its length. A typical application of this facility is in the analysis of a purlin which receives both lateral and torsional restraint from the sheeting which it supports. The paper illustrates how the basic equations of GBT can be used to calculate the buckling load of an elastically restrained cross section taking account of interaction between the different buckling modes. Using this estimate of the buckling load, an assessment of the collapse load of a restrained section can be made using the interaction formulae of Eurocode 3(4) to allow for both buckling and yielding.