Analytical effective width equations for limit state design of thin plates under non-homogeneous in-plane loading |
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Authors: | Osama Bedair |
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Institution: | (1) Microelectronic Systems Lab, EPFL – Swiss Federal Institute of Technology, 1015 Lausanne, Switzerland; |
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Abstract: | 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. |
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