
Accession Number : AD0725485
Title : The Analytic Design of Torsion Members.
Descriptive Note : Doctoral thesis,
Corporate Author : IOWA UNIV IOWA CITY DEPT OF MECHANICS AND HYDRAULICS
Personal Author(s) : Henry,Allen S.
Report Date : MAY 1971
Pagination or Media Count : 124
Abstract : The classical torsion analysis of a prismatic bar reduces to the solution of a linear boundaryvalue problem posed in terms of either the Laplace or Poisson equation on the region representing the crosssection of the bar. Material properties are represented by a single physical constant, the shear modulus. The effect of this constant can be simply treated by the introduction of nondimensional variables. Thus, within the linear theory, the only design changes of possible interest are those involving changes in the geometry of the corsssection. This dissertation is concerned with an analytical method for improving the design of a restricted class of crosssections; namely, those bounded by a closed curve having a continuous unit normal vector and piecewise continuous curvature. Regions whose boundary contours possess exterior corners are treated as a a limiting case of the above class. At the heart of the technique is a representation of the change in the solution to the boundaryvalue problem in terms of a small change in the boundary contour. This representation is exploited using a numerical method to improve the design of the crosssection. (Author)
Descriptors : (*TORSION BARS, STRESSES), PRISMATIC BODIES, BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS, SHEAR STRESSES, DEFORMATION, THESES
Subject Categories : Surface Transportation and Equipment
Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE