Buckling of plate with longitudinal rib

Authors: Sokolov S.A., Grachev А.А. Published: 02.09.2015
Published in issue: #4(103)/2015  

DOI: 10.18698/0236-3941-2015-4-119-129

Category: Mechanics | Chapter: Dynamics and Strength of Machines, Instruments, and Equipment  
Keywords: buckling, plates, rib, buckling stress

The paper considers the challenging issue of requirement strengthening for both the specific amount of metal per structure of the lifting facilities and applying high-tension steel. The elasticity theory methods used to solve the buckling problems of the structures with ribs result in extremely cumbersome dependencies. It should be taken into account that the crane structure elements can take up various combinations of loads during a single cycle of operation. Nowadays there are no analytical methods, which can solve these problems in respect to the lifting facilities. It should be noted that the formulae for calculating the buckling stress of the individual plates given in ISO, EN, FEM , etc. have a rather simplified and approximated nature. They cannot count the plate strengthening ribs. The paper describes the plates with a single two-sided rib, symmetrical to the middle plane of the plate. The authors suggest an appropriate approach to calculating the integral buckling of the plate with a rib. While using the proposed approaches, it becomes possible to estimate the optimal rib size. Further increase in size results in both the excessive consumption of metal and the structure heaviness.


[1] Broude B.M. Ustoychivost’ plastinok v elementakh stal’nykh konstruktsiy [Stability of Plates in the Elements of Steel Structures]. Moscow, Mashstroyizdat Publ., 1949.

[2] Bleykh F. Ustoychivost’ metallicheskikh konstruktsiy [Stability of Metal Structures]. Moscow, Fizmatgiz Publ., 1959. 544 p.

[3] Timoshenko S.P. Ustoychivost’ uprugikh system [Stability of Elastic Systems]. Moscow-Leningrad, OGIZ-Gostekhizdat Publ., 1946. 532 p.

[4] Stal’nye konstruktsii [Steel Structures]. SNiP II-23-81*. Gosstroy SSSR. Moscow, Stroyizdat Publ., 1982. 96 p.

[5] Obshchie pravila proektirovaniya stal’nykh konstruktsiy [General Design Rules for Steel Structures]. SP 53-102-2004. St. Petersburg, DEAN Publ., 2007. 272 p.

[6] EN 13001-3-1:2004 Cranes - General Design - Part 3-1: Limit States and proof competence of steel structure.

[7] ISO/DIS 20332.2:2012. Cranes - Proof of competence of steel structures.

[8] Federation Europeenne de la manutention. Section I: FEM 1.001. Rules for the design of hoisting appliances. 3RD Edition, 10.1998.

[9] Sokolov S.A. Metallicheskie konstruktsii pod’emno-transportnykh mashin [Metal Constructions of Lifting-and-Shifting Machines]. St. Petersburg, Politekhnika Publ., 2005. 423 p.

[10] Grachev A.A., Sokolov S.A. Stability of Ribbed Plates. Nauch.-tekhn. vedomosti SPbGPU [St. Petersburg State Polytechnical University Journal], 2010, no. 4 (110), pp. 200-204 (in Russ.).

[11] BSK Sweden design rules for steel structures. Boverket 1999. ISBN 91-7147-527-3.

[12] Eurocode 3 Design of steel structures. Part 1-5 Plate structures, EN 1993-1-5:2009.