PSI - Issue 17

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000 – 000

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Procedia Structural Integrity 17 (2019) 734–741

ICSI 2019 The 3rd International Conference on Structural Integrity Stability Analysis of Compression Member on Elastic Supports Ivan Baláž a * , Yvona Koleková b , Lýdia Moroczová b a Department of Metal and Timber Structures, b Department of Structural Mechanics, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, Bratislava, SK-81005, Slovak Republic ICSI 2019 The 3rd International Conference on Structural Integrity Stability Analysis of Compression Member on Elastic Supports Ivan Baláž a * , Yvona Koleková b , Lýdia Moroczová b a Department of Metal and Timber Structures, b Department of Structural Mechanics, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, Bratislava, SK-81005, Slovak Republic Part of the large parametric study focused on the stability behavior of compression single members and the member structures with various loadings and boundary conditions is presented here. The presented part relates to the stability analysis of the compression member on elastic springs and elastic foundation. The span of the member L = n ℓ , where ℓ is the length of the field which equals to the distance between the neighboring elastic springs. The members under investigation have seven various numbers of the fields n = 2, 3, 4, 5, 6, 7 and ∞. The mem bers have uniform bending rigidity EI , uniform normal force N and ( n – 1) elastic springs with equal spring stiffness C w . The results are presented in the form of 4 diagrams. The curves of diagrams were replaced by the straight lines to be able derived approximate formulae for calculation of the critical force. It is shown that approximate formulae give the values of the critical forces F cr.a which differ from exact diagram values F cr less than 3.3 %, being slightly on the safe side. The exact values of the critical forces F cr obtained from the solution of the stability equation are verified by comparisons with results F cr.IQ of the computer program IQ 100. Excellent agreement is achieved between F cr.IQ and F cr . The presented solution of the compression member on elastic springs may be used also for the calculation of the critical force of the compression member on elastic foundation. The solution given in the paper creates scientific background needed in the design of the semi-through bridge trusses. Stability of the beams on elastic foundation is solved for three different boundary conditions too. Part of the large parametric study focused on the stability behavior of compression single members and the member structures with various loadings and boundary conditions is presented here. The presented part relates to the stability analysis of the compression member on elastic springs and elastic foundation. The span of the member L = n ℓ , where ℓ is the length of the field which equals to the distance between the neighboring elastic springs. The members under investigation have seven various numbers of the fields n = 2, 3, 4, 5, 6, 7 and ∞. The mem bers have uniform bending rigidity EI , uniform normal force N and ( n – 1) elastic springs with equal spring stiffness C w . The results are presented in the form of 4 diagrams. The curves of diagrams were replaced by the straight lines to be able derived approximate formulae for calculation of the critical force. It is shown that approximate formulae give the values of the critical forces F cr.a which differ from exact diagram values F cr less than 3.3 %, being slightly on the safe side. The exact values of the critical forces F cr obtained from the solution of the stability equation are verified by comparisons with results F cr.IQ of the computer program IQ 100. Excellent agreement is achieved between F cr.IQ and F cr . The presented solution of the compression member on elastic springs may be used also for the calculation of the critical force of the compression member on elastic foundation. The solution given in the paper creates scientific background needed in the design of the semi-through bridge trusses. Stability of the beams on elastic foundation is solved for three different boundary conditions too. Abstract Abstract

© 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ICSI 2019 organizers. © 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ICSI 2019 organizers. © 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ICSI 2019 organizers. Keywords: critical force, stability, elastic foundation, elastic springs Keywords: critical force, stability, elastic foundation, elastic springs

* Corresponding author. Tel.: +0-421-2-59274379; fax: +0-421-2-52494116. E-mail address: ivan.balaz@stuba.sk * Corresponding author. Tel.: +0-421-2-59274379; fax: +0-421-2-52494116. E-mail address: ivan.balaz@stuba.sk

2452-3216 © 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ICSI 2019 organizers. 2452-3216 © 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ICSI 2019 organizers.

2452-3216  2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ICSI 2019 organizers. 10.1016/j.prostr.2019.08.098