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Leclair, Raymond A. 2014-12-16T19:12:37Z 2014-12-16T19:12:37Z 10000-01-01 1986 1986 A theory is presented which will predict the stresses in a single lay strand subjected to axial, bending, and torsional loads when friction is present. Similar to the solution for the axial loading of a strand, the curvatures and twist of the wires in bending are estimated and the loads required for equilibrium are obtained by solving the six nonlinear, differential equations of equilibrium of a thin wire. The stresses due to bending are then superimposed on the stresses in the wires due to the axial loading. In addition, a solution for the stresses in a cylinder reinforced with a wire rope is presented. The case of a uniform stress applied to the ends of the cylinder is of particular interest. The displacements corresponding to no end rotation are approximated using the principle of minimum potential energy. It must be understood a torque is present to restrain the ends from rotating. A strength of materials approach, in which plane sections remain plane, is taken to determine the stresses produced by releasing this torque, allowing the ends to rotate. This leads to the unexpected conclusion that the bond shearing stresses approach infinity at the ends. Made available in DSpace on 2014-12-16T19:12:37Z (GMT). No. of bitstreams: 1 8701545.pdf: 1454312 bytes, checksum: 00e015abfde3e29c05dcd05b0bcb6934 (MD5) Previous issue date: 1986 Embargo set by: Seth Robbins for item 71854 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 55 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1986. http://hdl.handle.net/2142/71688 (UMI)AAI8701545 Engineering, Mechanical Bending of an Axially Loaded Strand With Friction and the Mechanics of Wire Rope Reinforced Cylinders text Theoretical and Applied Mechanics Theoretical and Applied Mechanics University of Illinois at Urbana-Champaign Dissertation Ph.D.