Related Experiment Video
Updated: Feb 8, 2026

Atmospheric Pressure Fabrication of Large-Sized Single-Layer Rectangular SnSe Flakes
Published on: March 21, 2018
An asymptotic higher-order theory for rectangular beams
E Nolde1, A V Pichugin1, J Kaplunov2
1Department of Mathematics, CEDPS, Brunel University London, Uxbridge UB8 3PH, UK.
Abstract:
A direct asymptotic integration of the full three-dimensional problem of elasticity is employed to derive a consistent governing equation for a beam with the rectangular cross section. The governing equation is consistent in the sense that it has the same long-wave low-frequency behaviour as the exact solution of the original three-dimensional problem. Performance of the new beam equation is illustrated by comparing its predictions against the results of direct finite-element computations. Limiting behaviours for beams with large (and small) aspect ratios, which can be established using classical plate theories, are recovered from the new governing equation to illustrate its consistency and also to illustrate the importance of using plate theories with the correctly refined boundary conditions. The implications for the correct choice of the shear correction factor in Timoshenko's beam theory are also discussed.
More Related Videos
10:58Focused Ion Beam Fabrication of LiPON-based Solid-state Lithium-ion Nanobatteries for In Situ Testing
Published on: March 7, 2018
07:00Preparing Lamellae from Vitreous Biological Samples Using a Dual-Beam Scanning Electron Microscope for Cryo-Electron Tomography
Published on: August 5, 2021
Related Concept Videos
Distribution of Stresses in a Narrow Rectangular Beam
Slant Asymptotes
Asymptotes in Rational Functions
Band Theory
The energy difference between these bands is known as the band gap.
Conductor, Semiconductor,...
Scientific Laws and Theories
Attribution Theory