STRUCTURAL ANALYSIS OF BUILT-UP MEMBERS WITH ANGLES
Abstract
Built-up steel members are frequently used in lifting equipment structures, owing to the very advantageous ratio between the high load carrying capacity and the quite limited self-weight. Important applications are for cranes, from the tower and port cranes to the stiffleg derricks for mining applications, that are the core of the present paper. Design is usually carried out by using commercial finite element analysis packages (FEAP) offering only beam formulations efficiently developed for bi-symmetric cross-section members. The important effects associated with the buckling interaction between axial force and bending moments as well as with the presence of warping torsion are currently neglected in the analysis design, also because not yet included in standard provisions.
The paper is focused on built-up members for stiffleg derricks made by angles and in particular on the analysis phase. Key features of single angles are presented stressing out the importance of capturing the buckling loads for compression, bending and compression plus bending. Furthermore, an applicative part is proposed: two stiffleg derricks, differing only in panel geometry, have been studied, considering each of them in six geometrical configurations. Structural analyses have been carried out by using two FEAPs differing for the degree of refinement of the implemented beam formulations. The proposed research outcomes allow for a direct appraisal of the important influence of the effects that are currently neglected in routine design because of the absence in engineering offices of FEAPs offering beam formulations adequate for mono-symmetric cross-section members.
References
L. K. Shapiro, J. P. Shapiro, “Cranes and derricks”. McGraw-Hill Education, 4th edition, 2010. ISBN: 9780071625579 007162557
UCIMU, “Guide to application of the Machinery Directive 2006/42/EC”. Edizioni TNE, 2nd edition, 2017.
L. Solazzi, N. Zrnic “Design of a high capacity derrick crane considering the effects induced by load application and release”, Journal of Applied Engineering Scienze 15(1), 409, 15-24, 2017. doi: 10.5937/jaes15-11930.
EN1993-1-1, Eurocodice 3 “Design of steel structures – Part 1-1: General rules and rules for builsings”, CEN 2015.
Sap2000 v.19, FE software, https://www.csiamerica.com/, accessed 2019.
ConSteel v. 13, FE software, http://www.consteelsoftware.com/en, accessed 2019.
K. Bathe, E.L. Wilson “Numerical Methods in Finite element analysis” Prentice-Hall, 1976. doi: 10.1002/nme.1620110913.
W. F. Chen, T. Atsuta, “Theory of beam-columns: Vol. 2 Space Behaviour and Design”. McGraw Hill, New York, 1977.
V. Z. Vlasov, “Thin-walled elastic beams”. Published for The National Science Foundation, Washington D.C., by the Israel Program for Scientific Translations, Jerusalem, 1961.
C. Bernuzzi, A. Gobetti, G. Gabbianelli, M. Simoncelli, “Warping influence on the resistance of uprights in steel storage racks”. Journal of constructional steel research, 101, pp. 224-241, 2014. doi: 10.1016/j.jcsr.2014.05.014.
C. Bernuzzi, A. Pieri, V. Squadrito, “Warping influence on the static design of unbraced steel storage pallet racks”, Thin-walled structures, 79, pp. 71-82, 2014. doi: 10.1016/j.tws.2014.01.024.
F. Bleich, “Buckling strength of metal structures”. Engineering societies monograph, McGraw Hill, New York, 1952. ISBN 10: 0070058903.
G. Ballio, F.M. Mazzolani, “Theory and design of steel structures”, Chapman and Hall, London, 1983. ISBN: 0412236605.
F. Mohri, N. Damil, M. Potier-Ferry, “Buckling and lateral buckling interaction in thin-walled beam-column mono-symmetric cross section”. Applied Mathematical Modelling, 37 (5), pp. 3526-3540, 2013. doi: 10.10316/j.apm.2012.07.053.
C. Bernuzzi, B. Cordova “Structural steel design to Eurocode 3 and AISC specifications” Wiley Blackwell, United Kingdom, 2016. ISBN 10: 1118631285