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A comparison of exact and approximate analyses of partially interacting composite Beam-Columns
Department of Applied Physics and Electronics, Umeå University, Sweden.
Luleå tekniska universitet, Institutionen för samhällsbyggnad och naturresurser, Byggkonstruktion och -produktion.ORCID-id: 0000-0002-0336-6433
2015 (Engelska)Ingår i: Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing / [ed] J. Kruis; Y. Tsompanakis; B.H.V. Topping, Stirlingshire: Civil-Comp Press , 2015, Vol. 108, artikel-id 261Konferensbidrag, Publicerat paper (Refereegranskat)
Abstract [en]

This paper deals with deflection analysis of a deep composite box beam due to inplane shear deformations, especially the modelling of the shear deformations in the webs is considered. The beam is composed of three framing members with sheathings on both sides. The sheathings or webs between the framing members are modelled as shear media with equivalent slip moduli corresponding to the partially composite beam model with three separated layers and two interlayer slip areas. The minimum total potential energy principle is employed to obtain the governing equilibrium equations and corresponding boundary conditions. The coupled set of governing equations is recast into an uncoupled form and solved explicitly together with the corresponding boundary conditions. The closed-form solutions obtained are compared to those based on the conventional beam theories. It is shown that the model is capable of predicting accurately the deflections for a wide range of geometry and property parameters, especially for small shear stiffness (slip modulus) values for the webs. The formula for the deflection is reduced to the Timoshenko formula for full composite interaction when the shear slip modulus of the web approaches infinity. Comparative numerical results are presented to show the influence of bending deformations, shear deformations in the framing layers and the in-plane shear deformations in the sheathings.

Abstract [en]

Solutions of the static Euler-Bernoulli equations of composite beam-columns with interlayer slip have been compared with an approximate theory. The inter-layer force was taken to be proportional to the inter-layer slip. The general solutions were obtained for four different sets of boundary conditions corresponding to the four Euler cases: clamped-free, pinned-pinned, clamped-pinned and clamped-clamped. A transverse static point load was considered. The beam was axially loaded. The contribution of the axial force to the bending moment, or equivalently the work done by the axial force on the beam due to its deflection, was taken into account in the second order theory and neglected in the first order theory. In the approximate theory the second order effects were described by an approximate magnification factor obtained from critical loads calculated by approximating the buckling length coefficients of the composite beam with interlayer slip by the buckling length coefficients of a solid beam. The contribution of second order effects to deflections and internal actions were calculated in terms of exact magnification factors at different stiffness of the composite action and the results were compared with the approximate theory. Two composite beams were considered. The first was a combination of concrete and timber and the second was a combination of concrete and steel. The positions of the maximum internal shear forces were shown to occur at different positions in the two layers of the beam of concrete and steel when the exact first and second order calculations were compared. The approximate theory was fairly accurate for the deflection but showed higher deviations for other quantities. The approximate theory needs further evaluation. The exact results have been obtained by analytical calculations in combination with numerical evaluation.

Ort, förlag, år, upplaga, sidor
Stirlingshire: Civil-Comp Press , 2015. Vol. 108, artikel-id 261
Serie
Civil-Comp Proceedings, ISSN 1759-3433 ; 108
Nyckelord [en]
composite beam-columns, partial interaction, interlayer slip, approximate analysis, magnification factors, timber structures
Nationell ämneskategori
Husbyggnad
Forskningsämne
Träbyggnad
Identifikatorer
URN: urn:nbn:se:ltu:diva-29413DOI: 10.4203/ccp.108.261Scopus ID: 2-s2.0-84964343792Lokalt ID: 2e2d2ac0-537f-4307-a684-ad59e80d2faaOAI: oai:DiVA.org:ltu-29413DiVA, id: diva2:1002637
Konferens
15th International Conference on Civil, Structural and Environmental Engineering Computing, CIVIL-COMP 2015, Prague, 1 September 2015 through 4 September 2015
Anmärkning

Godkänd; 2015; 20160511 (andbra)

Tillgänglig från: 2016-09-30 Skapad: 2016-09-30 Senast uppdaterad: 2023-11-22Bibliografiskt granskad

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Förlagets fulltextScopushttps://www.ctresources.info/ccp/paper.html?id=8819

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Girhammar, Ulf Arne

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