Description
Buckling of slender rods is well described by Euler’s 1D elastica, which predicts a universal value of 1/2 for the postbuckling slope, S, of the force-compression curve. In many practical situations, however, beams with a finite aspect ratio are encountered for which 2D effects start to play a role, leading to a departure from S = ½, and even to negative S for thick beams. Here we present a 1D model to predict the post buckling slope of beams with finite aspect ratio.
Recommended Citation
Lubbers, L., Coulais, C., & Van Hecke, M. (2014). Postbuckling slope of beams with finite aspect ratio. In A. Bajaj, P. Zavattieri, M. Koslowski, & T. Siegmund (Eds.). Proceedings of the Society of Engineering Science 51st Annual Technical Meeting, October 1-3, 2014 , West Lafayette: Purdue University Libraries Scholarly Publishing Services, 2014. https://docs.lib.purdue.edu/ses2014/mss/ssm/51
Postbuckling slope of beams with finite aspect ratio
Buckling of slender rods is well described by Euler’s 1D elastica, which predicts a universal value of 1/2 for the postbuckling slope, S, of the force-compression curve. In many practical situations, however, beams with a finite aspect ratio are encountered for which 2D effects start to play a role, leading to a departure from S = ½, and even to negative S for thick beams. Here we present a 1D model to predict the post buckling slope of beams with finite aspect ratio.