Full Content is available to subscribers

Subscribe/Learn More  >

Shape Transformers for Material and Shape Selection

[+] Author Affiliations
Damiano Pasini

McGill University, Montreal, QC, Canada

Paper No. DETC2005-84894, pp. 83-92; 10 pages
  • ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5a: 17th International Conference on Design Theory and Methodology
  • Long Beach, California, USA, September 24–28, 2005
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4742-X | eISBN: 0-7918-3766-1
  • Copyright © 2005 by ASME


This paper presents a method for selecting materials, cross-section shapes, and combinations thereof. The novelty of the method is the definition of Shape Transformers. These parameters are dimensionless measures of the geometric quantities of a cross-section. They describe the shape properties of a cross-section regardless of size and are thus invariant to any scaling imposed on the cross-section size. Shape Transformers are valuable with modelling the equation of mechanics and with the development of selection charts for optimum design. The rationale of the approach is that the fundamental equations of mechanics can be expressed by a product of four separable factors: the functional requirements, the material properties, the Shape Transformers, and the geometric quantities of a rectangle as defined by its cross-section size. This permits general expressions of performance indices to be derived for any scaling transformation. For example, indices for selecting materials and cross-sectional shapes that minimize the mass of beams are given for stiffness design. The last part of the paper illustrates how Shape Transformers facilitate a graphical exploration of performance data. The whole range of cross-sectional shapes can be visualized at a glance for each material. Lines of iso-performance enable efficiency comparison of materials and/or shapes for a given cross-section scaling. Shape Transformers assist design choices and give insight into optimum selection.

Copyright © 2005 by ASME
Topics: Shapes



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In