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oai:www.ideals.illinois.edu:2142/22391 2023-07-10 col_2142_5131 com_2142_5130

Shield, R.T. Bai, Zhengxian 2011-05-07T13:38:20Z 2011-05-07T13:38:20Z 10000-01-01 1991 A method for determining overall load-deformation relations for small-strain elastic deformations with large displacements has been adapted so that second-order elastic effects can be included in certain overall quantities such as bending stiffness without explicit determination of the second-order solution. The approach uses Betti's reciprocal theorem. The method is applied to obtain the resultant force and moment to second order for cylindrical bars with arbitrary cross-sections under torsion, extension and torsion, bending by an end moment, and twisting and bending to helical form. Made available in DSpace on 2011-05-07T13:38:20Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9136534.pdf: 2181224 bytes, checksum: e3a2e12bb22770bf3154d17fd59ce416 (MD5) Previous issue date: 1991 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:57:18Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:26:52-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9136534 (UMI)AAI9136534 http://hdl.handle.net/2142/22391 eng Copyright 1991 Bai, Zhengxian Applied Mechanics Overall results in second-order elasticity text University of Illinois at Urbana-Champaign Dissertation Ph.D. Applied Mechanics Applied Mechanics