Abstract
Strain-gage measurements were made in and near the external circumferential fillets of a circular cylindrical pressure vessel with stepped wall thicknesses. Six combinations of fillet radii and wall thicknesses were tested. Data were obtained along the inside and outside surfaces of four equally spaced longitudinal sections. Discrete strain-gage measurements in the high-straingradient areas were transformed to continuous stress distributions. This was done by a method which included consideration of the strain gradient within the length or width of the gage as well as the strain gradient from gage to gage. Comparisons of the experimental stress distributions and the stress-concentration factors were then made to available numerical solutions based on the theory of elasticity.
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Abbreviations
- ID:
-
inside diameter
- OD:
-
outside diameter
- K θ :
-
stress-concentration factor along a circumferential direction referred to measured σθ at the external surface of the reduced cylinder
- K z :
-
stress-concentration factor along a meridional-direction referred to measured σz at the external surface of the reduced cylinder
- psig:
-
pounds per square inch—gage pressure
- r :
-
radius of fillet
- T :
-
wall thickness of regular section
- t :
-
wall thickness of reduced section
- ∈ x , ∈ y :
-
strains along thex andy directions, respectively, approximated as polynomial functions ofx
- ∈ ix , ∈ iy :
-
measured strain in theith gage oriented along thex andy direction respectively
- L ix :
-
dimension along thex direction (length) of theith gage, oriented with its length in thex direction
- L iy :
-
dimension along thex direction (width) of theith gage, oriented with its length in they direction
- σθ :
-
nominal stress in circumferential direction, psi
- σ z :
-
nominal stress in axial direction, psi
- σ x :
-
stress inx direction, psi
- σ y :
-
stress iny direction, psi
- X x :
-
location of maximum σ x along thex axis
- X y :
-
location of maximum σ y along thex axis
References
D. J. Bynum andR. C. DeHart, “Fillet and Groove Stress Concentrations,”Experimental Mechanics 4 (6),160–166 (1964).
D. S. Griffin and A. L. Thruman, “Comparison of DUZ Solution with Experimental Results for Uniaxially and Biaxially Loaded Fillets and Grooves,” Westinghouse Electric Corp. Report, Sept. 1965.
D. S. Griffin, et al., “DUZ-1: A Program for Solving Axisymmetric and Plane Elasticity Problems on the Philco-2000,” WAPD-TM-555, November 1965.
M. M. Leven, “Stress Distribution in a Cylinder with an External Circumferential Fillet Subjected to Internal Pressure,” Research Memo: 65-9D7-520M1, Westinghouse Research and Development Center, July 21, 1965.
C. S. Ades and L. H. N. Lee, “Strain Gage Measurements in Regions of High Stress Gradient,” Proc. SESA, 199–200 (June 1961).
D. S. Griffin and A. L. Thurman, “Calculation of Stresses in Pressurized Cylinders with External Fillets Using DUZ-1 Philco-2000 Computer Program” WAPD TM-654, January 1967.
C. R. Wylie, Jr., “Advanced Engineering Mathematics,”2nd ed., McGraw-Hill Book Co., New York, 175 (1960).
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Heifetz, J.H., Berman, I. Measurements of stress-concentration factors in the external fillets of a cylindrical pressure vessel. Experimental Mechanics 7, 518–524 (1967). https://doi.org/10.1007/BF02326327
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DOI: https://doi.org/10.1007/BF02326327