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RF-/PLATE-BUCKLING Stand-Alone Program or Add-on Module for RFEM/RSTAB
Plate Buckling Analysis for Plates with or Without Stiffeners
The RF-/PLATE-BUCKLING is available as an add‑on module for RFEM/RSTAB or as a separate stand‑alone program. It performs plate buckling analysis of rectangular plates according to the following standards:
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EN 1993‑1‑5:2006
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DIN 18800‑3:1990‑11
It is possible to apply horizontal or vertical stiffeners to the plates (for example flat plates, angles, T‑stiffeners, trapezoidal stiffeners, channel sections). Loading on the plate boundaries can be applied in several ways and can be imported from the main program RFEM/RSTAB. The plate buckling design in RF‑/PLATE‑BUCKLING is always performed on the total buckling panel as the potential stiffeners are considered in the 3D FE model. Thus, designs of single (c/t) parts or buckling panel sections are omitted.
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Features
- For the design according to Eurocode 3, the following National Annexes are available:
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DIN EN 1993-1-5/NA:2010-12 (Germany)
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SFS EN 1993-1-5/NA:2006 (Finland)
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NBN EN 1993-1-5/NA:2011-03 (Belgium)
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UNI EN 1993-1-5/NA:2011-02 (Italy)
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NEN EN 1993-1-5/NA:2011-04 (Netherlands)
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NS EN 1993-1-5/NA:2009-06 (Norway)
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CSN EN 1993-1-5/NA:2008-07 (Czech Republic)
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CYS EN 1993-1-5/NA:2009-03 (Cyprus)
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- In addition to the National Annexes listed above, you can also define a specific NA, applying user-defined limit values and parameters.
- Import of all relevant internal forces from RFEM/RSTAB by selecting numbers of members and buckling panels with determination of governing boundary stresses
- Summary of stresses in load cases with determination of governing load
- Different materials for stiffener and plate possible
- Import of stiffeners from an extensive library (flat plate and bulb flat steel, angle, T-section, channel, and trapezoidal sheeting)
- Determination of effective widths according to EN 1993-1-5 (Table 4.1 or 4.2) or DIN 18800, Part 3, Eq. (4)
- Optional calculation of critical buckling stresses according to analytical formulas of annexes A.1, A.2, and A.3 of EC 3, or by means of FEA calculation
- Designs (stress, deformation, torsional buckling) of longitudinal and transverse stiffeners
- Optional consideration of buckling effects according to DIN 18800, Part 3, Eq. (13)
- Photo-realistic representation (3D rendering) of buckling panel, including stiffeners, stress conditions, and buckling modes with animation
- Documentation of all input data and results in a verifiable printout report
- For the design according to Eurocode 3, the following National Annexes are available:
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Input
Initially, it is necessary to define material data, panel dimensions, and boundary conditions (hinged, built-in, unsupported, hinged-elastic). It is possible to transfer the data from RFEM/RSTAB. Then, boundary stresses can be either defined for each load case manually or imported from RFEM/RSTAB.
Stiffeners are modeled as spatially effective surface elements that are eccentrically connected to the plate. Therefore, it is not necessary to consider the stiffener eccentricities by effective widths. The bending, shear, strain, and St. Venant stiffness of stiffeners as well as the Bredt stiffness of closed stiffeners is determined automatically in a 3D model.
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Design
Designs are performed in iterative steps by eigenvalue calculation of the ideal buckling values for the individual stress conditions, as well as of the buckling value for the simultaneous effects of all stress components.
The buckling analysis is based on the method of reduced stresses, comparing the acting stresses to a limit stress condition reduced from the yield condition of von Mises for each buckling panel. The design is based on a single global slenderness ratio determined by the entire stress field. Therefore, the analysis of single loading and subsequent merging using interaction criterion is omitted.
In order to determine the plate buckling behavior, which is similar to the behavior of a buckling member, the module calculates the eigenvalues of the ideal panel buckling values using freely assumed longitudinal edges. Then, slenderness ratios and reduction factors are determined according to EN 1993-1-5, Chapter 4 or Annex B, or DIN 18800, Part 3, Table 1. Finally, the analysis is performed in accordance with EN 1993-1-5, Chapter 10, or DIN 18800, Part 3, Eq. (9), (10), or (14).
The buckling panel is discretized in finite quadrilateral or, if necessary, triangular elements. Each element node has six degrees of freedom.
The bending component of a triangular element is based on the LYNN-DHILLON element (2nd Conf. Matrix Meth. JAPAN – USA, Tokyo) according to the bending theory of Mindlin. However, the membrane component is based on the BERGAN-FELIPPA element. The quadrilateral elements consist of four triangular elements, while the inner node is eliminated.
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Results
The results are displayed with references to EN 1993-1-5 or DIN 18800. In addition, RF-/PLATE-BUCKLING shows calculation results separately for the action of only one edge load as well as for the simultaneous effect of all edge loads.
In the case of several load cases, the governing load case is displayed separately. Thus, time-consuming comparison of calculation data is not necessary.
Window 2.5 lists the critical buckling load factors of all load cases and the respective buckling modes.
You can visualize the buckling modes and loads of the buckling panel in the graphic window. This facilitates a quick overview of the buckling modes and loads. Using the animation option, you can clearly represent the buckling behavior of stiffened plates.
Finally, it is possible to export all tables to MS Excel or in a CSV file.
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Selected Output of Eigenvalues, Including Buckling Analysis
You can use the selection options in the printout report to receive the detail results (in short or long form) to illustrate the individual buckling modes with the relevant buckling analysis.
- Why do I get major differences for the design of a longitudinally stiffened buckling panel in comparison with the German and Austrian National Annexes?
- How is the rotational stiffness of a buckling stiffener determined in PLATE‑BUCKLING?
- For a buckling analysis, PLATE‑BUCKLING determines the governing shear stress of τ = 7.45 kN/cm², while RF‑/STEEL gives the result of the maximum shear stress of τ = 8.20 kN/cm². Where does this difference come from?
- When starting PLATE‑BUCKLING as a stand‑alone program or as an add‑on module within RFEM/RSTAB, the "from RFEM" or "from RSTAB" button is grayed out.
- In PLATE‑BUCKLING, the reduction factor due to column buckling χc is calculated using the modified slenderness of the sheet metal ${\overline{\mathrm\lambda}}_{\mathrm p}$. Why is it not calculated using the slenderness of the equivalent compression member ${\overline{\mathrm\lambda}}_{\mathrm c}$ ?
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