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Keywords: influence lines, Müller-Breslau principle, consistent nodal forces..

Summary

The use of influence lines is a recognized method for determining the critical design load conditions and this paper shows a direct method for applying influence lines in any structural finite element software. The main idea is to equate displacement or angular discontinuities with nodal forces, and subsequently obtain the influence function only applying a single load case without changing the geometry or boundary conditions of the model. The new approach for determining Influence lines is based on the Muller-Breslau principle, but the discontinuous displacement fields are in the new approach equated to consistent nodal forces, which makes it very suitable for implementation in finite element schemes and applicable for all element types, such as shell, plates, beams etc. This paper derives the consistent nodal forces for angular, lateral and axial displacement discontinuities for a Bernoulli-Euler beam element. To exemplify the new approach the response function of the pre-stressing cables for a cable-stay bridge subjected to a truck loading is studied.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 3 A Direct Implementation for Influence Lines in Finite Element Software M.S. Jepsen and L. Damkilde Institute of Structures, Materials and Geotechnics, Aalborg University, Esbjerg, Denmark doi:10.4203/ccp.106.3 purchase the full-text of this paper Full Bibliographic Reference for this paper M.S. Jepsen, L. Damkilde, "A Direct Implementation for Influence Lines in Finite Element Software", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 3, 2014. doi:10.4203/ccp.106.3 Keywords: influence lines, Müller-Breslau principle, consistent nodal forces.. Summary The use of influence lines is a recognized method for determining the critical design load conditions and this paper shows a direct method for applying influence lines in any structural finite element software. The main idea is to equate displacement or angular discontinuities with nodal forces, and subsequently obtain the influence function only applying a single load case without changing the geometry or boundary conditions of the model. The new approach for determining Influence lines is based on the Muller-Breslau principle, but the discontinuous displacement fields are in the new approach equated to consistent nodal forces, which makes it very suitable for implementation in finite element schemes and applicable for all element types, such as shell, plates, beams etc. This paper derives the consistent nodal forces for angular, lateral and axial displacement discontinuities for a Bernoulli-Euler beam element. To exemplify the new approach the response function of the pre-stressing cables for a cable-stay bridge subjected to a truck loading is studied. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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