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oai:www.ideals.illinois.edu:2142/71682 2023-07-11 col_2142_5131 col_2142_46414 com_2142_5130 com_2142_178 com_2142_234

text Im, Seyoung 2014-12-16T19:12:32Z 2014-12-16T19:12:32Z 10000-01-01 1985 1985 A consistent theory for linear elastic behavior in which the strains are small but the displacements and rotations can be large is applied to the bending of a beam by end loads and by its own weight, and to the bending of a long rectangular plate and of a circular plate by uniform pressure. The theory provides solutions for geometries between those for which the infinitesimal theory applies and those for which structural theories, such as Kirchhoff's theory for rods and the von Karman equations for plates, can be used. The results confirm the validity of Kirchhoff's rod theory within the range of small-strain, linear elastic behavior. For the plate problems considered the von Karman equations are found to provide accurate results for thin plates for which deflections are not small. Made available in DSpace on 2014-12-16T19:12:32Z (GMT). No. of bitstreams: 1 8600216.pdf: 2135855 bytes, checksum: 37265f9549f0ee0b1a96704da0589992 (MD5) Previous issue date: 1985 Embargo set by: Seth Robbins for item 71848 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 87 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1985. http://hdl.handle.net/2142/71682 (UMI)AAI8600216 Applied Mechanics Large Deflections of Structures With Small Elastic Strains (Nonlinear, Rotations) Theoretical and Applied Mechanics Theoretical and Applied Mechanics University of Illinois at Urbana-Champaign Dissertation Ph.D.