Determination of buckling loads for wooden beams using the elastic models

Experiments were performed to determine the forces required to buckle a floating ice sheet pushing against structures of different widths. The characteristic length of each ice sheet was determined to enable a comparison to be made between the theoretical and experimental results.Most of the experimental data points are within the range of the theoretical values of normalized buckling loads for frictionless and hinged boundary conditions, which represent the extreme situations for ice-structure contact. Thus, the agreement between the theoretical and experimental buckling loads is considered to be good. Photographs of the buckled ice sheets show a resemblance to the theoretical mode of buckling.

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Experimental Determination of the Buckling Loads of Floating Ice Sheets

Annals of Glaciology ◽

10.1017/s0260305500005577 ◽

1983 ◽

Vol 4 ◽

pp. 260-265 ◽

Cited By ~ 6

Author(s):

D. S. Sodhi ◽

F. D. Haynes ◽

K. Kato ◽

K. Hirayama

Keyword(s):

Experimental Data ◽

Boundary Conditions ◽

Experimental Determination ◽

Characteristic Length ◽

Ice Sheets ◽

Ice Sheet ◽

Experimental Results ◽

Buckling Loads ◽

Data Points

Experiments were performed to determine the forces required to buckle a floating ice sheet pushing against structures of different widths. The characteristic length of each ice sheet was determined to enable a comparison to be made between the theoretical and experimental results. Most of the experimental data points are within the range of the theoretical values of normalized buckling loads for frictionless and hinged boundary conditions, which represent the extreme situations for ice-structure contact. Thus, the agreement between the theoretical and experimental buckling loads is considered to be good. Photographs of the buckled ice sheets show a resemblance to the theoretical mode of buckling.

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A new design approach for the determination of the buckling load of rectangular plates

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406212464590 ◽

2012 ◽

Vol 227 (7) ◽

pp. 1417-1428

Author(s):

H Ahmed ◽

JF Durodola ◽

RG Beale

Keyword(s):

Analysis Procedure ◽

Preliminary Design ◽

Rectangular Plates ◽

Finite Element Analyses ◽

Support Condition ◽

Plate Edge ◽

Buckling Loads ◽

Plate Buckling ◽

Good Agreement

The objective of this article is to introduce and assess a new plate buckling analysis procedure which can be used for quick, approximate analysis of buckling loads in preliminary design. The method is applied to a range of plate edge support condition combinations including many where results are not readily available. The results obtained using the new procedure were compared against theoretical formulae available in the literature and by finite element analyses with good agreement.

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Buckling of nanobeams and nanorods with cracks

The proceedings of the 13th international conference "Modern Building Materials, Structures and Techniques" (MBMST 2019) ◽

10.3846/mbmst.2019.038 ◽

2019 ◽

Author(s):

Hina Arif ◽

Jaan Lellep

Keyword(s):

Cross Sections ◽

Nonlocal Theory ◽

Theory Of Elasticity ◽

Buckling Load ◽

Buckling Loads ◽

Critical Buckling Load ◽

Piecewise Constant ◽

Cracklike Defects ◽

General Method

Buckling of nanobeams and nanorods is treated with the help of the nonlocal theory of elasticity. The nanobeams under consideration have piecewise constant dimensions of cross sections and are weakened with cracks or cracklike defects emanating at the re-entrant corners of steps. A general method for determination of critical buckling loads of stepped nanobeams with cracks is developed. The influence of defects on the critical buckling load is evaluated numerically and compared with similar results of other researchers.

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DETERMINATION OF THE CRITICAL BUCKLING LOADS OF EULER COLUMNS USING STODOLA-VIANELLO ITERATION METHOD

Malaysian Journal of Civil Engineering ◽

10.11113/mjce.v30n3.514 ◽

2018 ◽

Vol 30 (3) ◽

Author(s):

Ofondu I.O. ◽

Ikwueze E.U. ◽

Ike C.C.

Keyword(s):

Iteration Method ◽

Longitudinal Axis ◽

Rayleigh Quotient ◽

Buckling Load ◽

Buckling Loads ◽

Critical Buckling Load ◽

Relative Errors ◽

Fixed End

The Stodola-Vianello iteration method was implemented in this work to determine the critical buckling load of an Euler column of length l with fixed end (x = 0) and pinned end (x = l), where the longitudinal axis is the x-direction.The critical buckling loads were found to be variable, depending on the x-coordinate. Integration and the Rayleigh quotients were used to find average buckling coefficients. First iteration gave relative errors of 4% using integration and 2.5% using Rayleigh quotient.Second iteration gave average relative errorsless than 1% for both the integration and the Rayleigh quotients. Better estimates of the critical buckling loads were obtained using the Rayleigh quotient in the Stodola-Vianello’s iteration.

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