The stability of eccentrically compressed thin plates with a longitudinal free edge and with stress variation in the longitudinal direction

Szychowski, Andrzej

doi:10.1016/j.tws.2007.10.009

Cited by 12 publications

(51 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…[1,8,9,19,32] and experimental e.g. [2,11,15,21,25,26] investigations, it was stated the rotational spring stiffness (Cθ) of the CP supported edge is most affected by the plate (RP) that is directly adjacent to CP, on the assumption that the plates are rigidly connected along the edge they share.…”

Section: Boundary Conditions Of the Critical Platementioning

confidence: 99%

“…amplitudes [31,32,33]. Consequently, the bar segment zone, in which the maximum compressive stress occurs, is decisive for local buckling.…”

Section: Types Of Restraining Platesmentioning

confidence: 99%

“…Depending on load distribution, the elastic buckling stress for CP of the thin-walled section is determined from formula: Buckling coefficients (k) for different cases of the plate (CP in this case) support and loading were presented by the author in the form of graphs in the following studies [32,33,34,35,36,37,38,39,40,41,42], and in the form of approximation formulas in [22,23,33,40,41]. In addition, the index of fixity (κ) and longitudinal stress distribution were accounted for using the following functions: a) constant, b) linear and, c) non-linear acc.…”

Section: The Critical Buckling Stressmentioning

confidence: 99%

“…In studies [31,32], a segment of a thin-walled bar was defined as a member section separated by transverse stiffenings (e.g. ribs, diaphragms or supports) which ensure rigid cross-section contour in place of their location.…”

Section: Introductionmentioning

confidence: 99%

“…In study [32], a distinction was made between thin-walled bars with a "rigid cross-section contour", satisfying the assumptions of the Vlasov theory [44] for the whole elastic range and thin-walled bars with a "flexible cross-section contour", which are affected by local or distortional stability loss.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Computation of Thin-Walled Cross-Section Resistance to Local Buckling with the Use of the Critical Plate Method

Szychowski

2016

Archives of Civil Engineering

View full text Add to dashboard Cite

1Thin-walled bars currently applied in metal construction engineering belong to a group of members, the cross section res i stance of which is affected by the phenomena of I ocal or distortional stability loss. This results from the fact that the cross-section of such a bar consists of slender-plate elements. The study presents the method of calculating the res i stance of the cross-section susceptible to local bucki ing which is based on the loss of stability of the weakest plate (wali). The "Critical Plate" (CP) was identified by comparing critical stress in cross-section component plates under a given stress condition. Then, the CP showing the lowest critical stress was modelled, depending on boundary conditions, as an interna( or cantilever element elastically restrained in the restraining plate (RP). Longitudinal stress distribution was accounted for by means of a constant, linear or non-linear (acc. the second degree parabola) fu nction. For the critical buckling stress, as calculated above, the ]ocal critical resistance of the cross-section was determined, which sets a limit on the validity of the Vlasov theory. In order to determine the design ultimate resistance of the cross-section, the effective width theory was applied, while taking inio consideration the assumptions specified in the study. The application of the Critical Plate Method (CPM) was presented in the examples. Analytical calculation results were compared with selected experimental f i ndings.lt was demonstraled that taking into consideration the CP elastic restrainl and longitudinal stress variation results in amore accurate representation ofthin-walled element behaviour in the engineering computational model.

show abstract

Section: Boundary Conditions Of the Critical Platementioning

confidence: 99%

“…amplitudes [31,32,33]. Consequently, the bar segment zone, in which the maximum compressive stress occurs, is decisive for local buckling.…”

Section: Types Of Restraining Platesmentioning

confidence: 99%

Section: The Critical Buckling Stressmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Computation of Thin-Walled Cross-Section Resistance to Local Buckling with the Use of the Critical Plate Method

Szychowski

2016

Archives of Civil Engineering

View full text Add to dashboard Cite

show abstract

Analytical effective width equations for limit state design of thin plates under non-homogeneous in-plane loading

Bedair

2009

Arch Appl Mech

View full text Add to dashboard Cite

The effective width concept has been widely used in engineering practice for the computation of ultimate strength of slender members. Many design codes employ this concept in order to compensate for the stiffness reduction in the post-buckling state. Extensive work was done to develop effective width equations for plates under uniform compression, while little attention has been given for plates under non-homogeneous in-plane loading. North American, British and European design codes provide only expressions for the computation of the elastic buckling loads for plates under this load combination, while the effective width calculation is based on the uniformly compressed plates. It will be shown that due to the non-uniformity of the applied load, the stress characteristics in the post-buckling state are different from the uniform compression case, thus requiring special treatments. The paper presents analytical closed form expressions for the computation of effective width of thin plates under non-homogeneous in-plane loading. The longitudinal edges are assumed to be straight and free to translate in the plane of the plate. The proposed expressions are very useful for limit state design of slender I-sections of beam columns or channel sections under this general type of loading. They enable the designers to compute the effective width of the section with the aid of simple formulas that, for design purposes, are suitable for hand-calculation and avoid the cost and effort that any numerical non-linear analysis may require.

show abstract

A theoretical analysis of the local buckling in thin-walled bars with open cross-section subjected to warping torsion

Szychowski

2014

Thin-Walled Structures

View full text Add to dashboard Cite

The stability of eccentrically compressed thin plates with a longitudinal free edge and with stress variation in the longitudinal direction

Cited by 12 publications

References 5 publications

Computation of Thin-Walled Cross-Section Resistance to Local Buckling with the Use of the Critical Plate Method

Computation of Thin-Walled Cross-Section Resistance to Local Buckling with the Use of the Critical Plate Method

Analytical effective width equations for limit state design of thin plates under non-homogeneous in-plane loading

A theoretical analysis of the local buckling in thin-walled bars with open cross-section subjected to warping torsion

Contact Info

Product

Resources

About