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On the accuracy of two-dimensional photoelastic experiments in which uniform edge loading is obtained by the inflatable-tubing technique

Technical note presents a comparison of theoretical and experimental solutions for hollow hexagons under external pressure

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Abstract

Good agreement is reported between newly acquired numerical solutions and previously obtained photoelastic solutions for hollow hexagons under external pressure on three and six sides. A procedure is discussed for calibration of pressure by means of shear-stress measurements directly on the model being analyzed.

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Abbreviations

x, y, θ:

coordinates

τ xy :

shear stress

σ t :

normal stress in tangential direction

n :

fringe order

ϕ:

isoclinic angle

f :

material fringe value

t :

thickness of model

D :

diameter of hole

W :

width across flats of hexagon

S :

shear force

p :

pressure (p=1 in Tables 1–2 and Figs. 3–4)

References

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  2. Flynn, P. D., “Two-dimensional Photoelastic Study of Turbine-Shell Flanges,”Experimental Mechanics,1, (3)83–87 (March 1961).

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  3. Durelli, A. J., Lake, R. L., andTsao, C. H., “Device for Applying Uniform Loading to Boundaries of Complicated Shape,”Proc. SESA,11, (1)55–61 (1953).

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  4. Belgrado, M., andGuerrini, B., “Photoelastic Determination of the State of Stress in the Notch Zone of Circular Plates with a Notched Central Hole and Other Regularly Spaced Peripheral Holes, Resulting from a Uniform Pressure Applied on the Cylindrical External Surface,” (in Italian)Univ. of Pisa, Italy (1964).

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  5. Slot, T., “Photoelastic Analysis of Hollow Hexagons Under External Pressure,” General Engrg. Lab. report for Aircraft Nuclear Propulsion Dept., General Electric Co., (December 1959).

  6. Slot, T., andYalch, J. P., “Stress Analysis of Plane Perforated Structures by Point-Wise Matching of Boundary Conditions,”Nuclear Engineering and Design,4, (2),163–176 (1966).

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  7. Kawaguchi, T., “Stress Distribution of a Thick Tube, Subjecting to an Internal Pressure, Which Has a Cross Section of Regular Polygon and a Circular Hole in Its Center,”Trans. Japan Soc. Mech. Engr.,18, (65),36–41 (1952), (in Japanese).

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Authors and Affiliations

  1. Nuclear Materials and Propulsion Operation, General Electric Co., Cincinnati, Ohio

    Thomas Slot

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  1. Thomas Slot
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Slot, T. On the accuracy of two-dimensional photoelastic experiments in which uniform edge loading is obtained by the inflatable-tubing technique. Experimental Mechanics 7, 189–192 (1967). https://doi.org/10.1007/BF02326405

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  • DOI: https://doi.org/10.1007/BF02326405

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