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Wu, Yensen 2014-12-16T19:12:27Z 2014-12-16T19:12:27Z 10000-01-01 1981 1981 A Boundary Integral Equation (BIE) formulation is developed which is capable of analyzing the torsion of a variable diameter shaft with an axisymmetric shear modulus in a particular form. The governing differential equation for this problem is the equation of the Generalized Bi-axially Symmetric Potential Theory (GBSPT), and its fundamental solution can be obtained by considering the "ring of potential". Piecewise-quadratic shape functions are used for the approximations of the functions and the boundary. Gaussian quadrature with four Gaussian points are used for the numerical integration. Stress concentration problems for the homogeneous U-grooved shaft, fillet shoulder shaft and the inhomogeneous U-grooved shaft with an axial hole are examined. Possible future studies are suggested. Made available in DSpace on 2014-12-16T19:12:27Z (GMT). No. of bitstreams: 1 8203643.pdf: 1448208 bytes, checksum: 7315203f5b90d6a1ebb1eb581cd4dd7b (MD5) Previous issue date: 1981 Embargo set by: Seth Robbins for item 71833 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 59 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981. http://hdl.handle.net/2142/71667 (UMI)AAI8203643 Applied Mechanics The Boundary Integral Equation Method for Torsion of an Inhomogeneous Variable Diameter Shaft text Theoretical and Applied Mechanics Theoretical and Applied Mechanics University of Illinois at Urbana-Champaign Dissertation Ph.D.