Experimental Mechanics

, Volume 6, Issue 11, pp 571–574 | Cite as

Photoelastic analysis with an interferometer simulating reinforced simple concrete beams

Paper reports that photoelastic analysis of models simulating reinforced-concrete beams offers a practical approach to problems in concrete structures
  • Staley F. Adams
Article
  • 34 Downloads

Abstract

This investigation was undertaken to study the static stresses developed in reinforced models simulating reinforced-concrete beams. The models maintained the correct modular ratio of the reinforcing rod to the beam material. In addition, the percentage of reinforcing material was made to produce an elastically balanced beam. The stresses were obtained with a Favre interferometer. Comparison of the boundary stresses was made with a standard circular polariscope using monochromatic light. Samples of the stresses plotted are provided to show graphically the distribution of the stresses obtained in the analyses.

Keywords

Static Stress Mechanical Engineer Fluid Dynamics Concrete Beam Monochromatic Light 

Symbols

a

shear span length

Ac

interferometer compressive constant

As

area of reinforcing rod

At

interferometer tensile constant

b

breadth of model

Bc

interferometer compressive constant

Bt

interferometer tensile constant

d

depth of model to center of reinforcing rod

D

total depth of the model

E

modulus of elasticity

f

material fringe value

K

correlation factor

l

span length of model

L

total length of model

n

modular ratio of reinforcing rod to beam material

p

percentage ratio of the area of reinforcing rod to the cross-sectional area of the beam

\(\sigma _l\)

principal stress to the left of a vertical line

\(\sigma _r\)

principal stress to the right of a vertical line

\(\sigma _x\)

normal stress parallel tox-axis

\(\sigma _y\)

normal stress parallel toy-axis

\(\tau _{xy}\)

shearing stress onxz oryz plane

V

shearing force

W

thickness of model

β

magnification factor of average shearing stress

\(\varphi _l\)

left angle of rotation from vertical axis to principal stress

\(\varphi _r\)

right angle of rotation from vertical axis to principal stress

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Beyer, A. H., andSolakin, A. G., “Photoelastic Analysis of Stresses in Composite Materials,”ASCE,99,1196–1212 (1934).Google Scholar
  2. 2.
    Hiltscher, R., andMüller, R. K., “Measurement of Reinforcement of Steel Concrete Constructions by Means of Photoelastic Model Tests,”Beton-und Stahlbetonban,54 (11),1–29 (1959).Google Scholar
  3. 3.
    Bignell, V. F., Smalley, V., and Roberts, N. P., “A New Photoelastic Material for use in Problems Concerning Reinforced Concrete,” Concrete Research, Cement and Concrete Assoc.,15 (45) (November 1963).Google Scholar
  4. 4.
    Erdle, P. J., Photoelastic Investigation of Crack Propagation in Resin Models Simulating Reinforced Concrete Sections, Unpublished PhD thesis, University of Colorado (1964).Google Scholar
  5. 5.
    Frocht, M. M., Photoelasticity,1,John Wiley and Sons, Inc.,New York, N. Y. (1941).Google Scholar
  6. 6.
    Phillips, H. B., and Adams, S. F., “The Photoelastic Interferometer,” Engrg. Expt. Sta. Bull., University of Kentucky,20 (3) (September 1965).Google Scholar
  7. 7.
    Adams, S. F., “Photoelastic Concrete Similitude with CR-39 Reinforced with Epoxy and Glass,”Experimental Mechanics,6 (1),54–57 (1966).Google Scholar
  8. 8.
    Ferguson, P. M., Reinforced Concrete Fundamentals with Emphasis on Ultimate Strength, John Wiley and Sons, Inc. (1958).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1966

Authors and Affiliations

  • Staley F. Adams
    • 1
  1. 1.University of KentuckyLexington

Personalised recommendations