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Stress concentrations at free edges of shear webs
Author(s) -
Kralovec Christoph,
Schagerl Martin,
Schröder KaiUwe
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210101
Subject(s) - buckle , stress (linguistics) , gravitational singularity , shear stress , shear (geology) , stress concentration , structural engineering , geometry , mechanics , materials science , geology , mathematics , engineering , physics , composite material , finite element method , mathematical analysis , philosophy , linguistics
This article analyzes the stress‐state of a shear web with free edges, i.e. a rectangular plate, which is loaded by shear on two simply supported opposite edges whereas the other two opposite edges can move freely and remain unloaded. Considering the plate's plane stress‐state it is obvious that at the corners the maximum equivalent stress occurs. If the plate does not buckle this stress determines its strength. However, the evaluation of the stress‐state at the corners raises some difficulties. As at these points the loaded and unloaded edges meet, the development of stress concentrations is indicated. Here the fundamental question arises if these stress concentrations remain finite or if singularities occur. To analyze this question we use both, analytical and numerical considerations. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)