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Flexure testing of plastics

Paper deals with the large-deflection mechanics of simple flexure and presents general data-reduction techniques based on nonlinear theory

Experimental Mechanics volume 4, pages 185–190 (1964)Cite this article

Abstract

Formulas for reducing flexural-test data have been derived on the basis of nonlinear, large-deformation theory and solved by numerical methods. Based on the nonlinear solution, correction factors have been derived that may be applied to the results of standard linear data-reduction techniques to yield more accurate results than were heretofore possible.

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Abbreviations

A :

constant of integration

b :

width of cross section

c :

distance from neutral axis to extreme fiber

E :

Young's modulus

h :

height of cross section

I :

second area moment of cross section

L :

half span

M :

bending moment

o :

subscript designanting conditions at the end of the test beam

P :

applied central load

R :

radius of curvature of beam

s :

arc length

x, y :

Cartesian space coordinates

β:

characteristic test parameter

δ:

deflection

ζ, η:

normalized Cartesian space coordinates

θ:

angle deflection curve made with thex or ζ axis

λ1, λ2 :

correction factors

σ:

normal stress

ξ:

dummy variable for use in Runge-Kutta method

Bibliography

  1. “ASTM Standards on Plastics” (with related information), American Society for Testing Materials, Philadelphia, Pa.

  2. “M.C.A.-M.I.T. Plastics Research Project Progress Report,” Massachusetts Institute of Technology, Cambridge, Mass., September 15, 1961.

  3. S. Timoshenko, “Strength of Materials, Part I, Elementary Theory and Problems,”3rd Ed., D. VanNostrand Co., New York, 137, (1955).

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  4. F. B. Hildebrand, “Advanced Calculus for Engineers,”Prentice-Hall Inc., New York, 1956.

    Google Scholar 

  5. Shell Chemical Co., “Application Information Sheet SP-24-e”.

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Author information

Authors and Affiliations

  1. Engineering Technology Laboratory, E. I. du Pont de Nemours & Co., Inc., Wilmington, Del

    Douglas C. West (Research Engineer)

Authors
  1. Douglas C. West
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Cite this article

West, D.C. Flexure testing of plastics. Experimental Mechanics 4, 185–190 (1964). https://doi.org/10.1007/BF02323649

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  • DOI: https://doi.org/10.1007/BF02323649

Keywords

  • Mechanical Engineer
  • Fluid Dynamics
  • Correction Factor
  • Accurate Result
  • Nonlinear Solution