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Two-dimensional study of transverse stresses in axially loaded sections

Technical note describes a photoelastic study of transverse tensile stresses in rectangular sections due to uniformly distributed axial loads and compares it to applicable mathematical solutions

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Abstract

This study is basically experimental in nature, utilizing the photoelastic technique to obtain stresses due to single, uniformly distributed, axial compressive loads of various widths. Existing literature on the subject provides a comparison of these experimental results with those obtained from applicable mathematical analyses.

The study is limited to rectangular sections for which the axial length-to-width ratio is large enough to provide a uniform distribution of the reactive stresses at some distance from the loaded end, at which point the transverse stresses become nonexistent.

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Abbreviations

b :

half width of section

b 1 :

half width of load

h :

y coordinate ofq

L :

total length of section

P :

total load per unit thickness

Q :

unit stress under the load

q :

uniformly distributed unit reactive stress

t :

thickness of section=unity

σ x :

unit stress in thex direction

References

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  4. Guyon, Y., Prestressed Concrete, J. Wiley & Sons, Inc., New York, 3rd ed.,I,127–158 (1953).

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  5. Sundara Raja Iyengar, K. T., “Two-Dimensional Theories of Anchorage Zone Stresses in Post-Tensioned Prestressed Beams,”Proc. Am. Conc. Inst.,59 (10),1443–1466 (1962).

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  6. Tesar, M., “International Association for Bridge and Structural Engineering,” (see Guyon, 4 134) (1932).

  7. Ban, S., Mugurama, H., andOgaki, Z., “Anchorage Zone Stress Distributions in Post-Tensioned Concrete Members,”Proc. World Conf. Prestressed Concrete (1957), World Conf. Prestressed Concrete, Inc., San Francisco, 16.1–16.14 (1957).

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Authors and Affiliations

  1. Office of Chief Engineer, Bureau of Reclamation, Denver Federal Center, Denver, Colo

    H. B. Phillips (Engineer) & C. L. Mantei (Engineer)

Authors
  1. H. B. Phillips
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  2. C. L. Mantei
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Phillips, H.B., Mantei, C.L. Two-dimensional study of transverse stresses in axially loaded sections. Experimental Mechanics 9, 137–139 (1969). https://doi.org/10.1007/BF02327700

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  • DOI: https://doi.org/10.1007/BF02327700

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