Abstract
Experimental stress analysis was performed on design aspects of the loading-face shield not amenable to theoretical analysis. Strain and load data obtained from deflection tests of an aluminum model were used to derive bending-stress coefficients for different sections of the shield; maximum strains were recorded at inner edges of moderator-removal holes. Concrete specimens in which process-tube hole patterns were reproduced were tested in compression; strain-concentration factors as high as eight were recorded. Sleeves of practical proportions were found to be ineffectual in reducing diametric shortening of the holes. Transverse deflections of a plaster scale model were found to be 2 1/2 times greater than predicted by plate theory. On the basis of these investigations, maximum stresses in loading-face-shield concrete and steel were determined and factors of safety were calculated. Results of this analysis indicate that the shield will fulfill service requirements.
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Abbreviations
- A :
-
cross-section area, in.2
- a :
-
radius (of plate, shield), in.
- b :
-
radius of hole, in.
- d :
-
in-plane deformation, in.
- E :
-
modulus of elasticity, lb/in.2
- I :
-
moment of inertia per unit of width, in.4/ft
- M :
-
bending moment per unit of width, lb-in./ft
- n :
-
ratio of elastic moduli for steel and concrete (=E s /E c , dimensionless)
- w :
-
uniformly distributed load, or pressure, lb/in.2
- t :
-
thickness, in.
- W :
-
weight or load, lb
- X :
-
distance from neutral-axis to compression surface of shield, in.
- δ:
-
transverse deflection, in.
- ε:
-
axial strain, dimensionaless
- λ:
-
bending deflection coefficient (=δEt 3/Wa 2, dimensionless)
- μ:
-
10−6
- ν:
-
Poisson's ratio (dimensionless)
- ξ:
-
bending stress coefficient (=σt 2/W, dimensionless)
- π:
-
a constant (=3.1416, dimensionless)
- σ:
-
stress, lb/in.2
- c :
-
concrete
- e :
-
edge of a central hole
- h :
-
load distributed uniformly around the edge of a hole
- max:
-
maximum value
- s :
-
steel
- t :
-
tangential
- u :
-
uniform surface loading
- 1:
-
model
- 2:
-
loading-face shield
References
Roark, R. J., “Formulas for Stress and Strain,”McGraw-Hill Book Co., Inc., New York (1954).
Davis, H. S., Browne, F. L., and Witter, H. C., “Properties of High-Density Concrete Made with Iron Aggregate,” Jnl. American Concrete Institute (March 1956).
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Chipman, R.D., Lynch, M.D. & Peterson, R.M. Stress analysis of HNPF loading-face shield. Experimental Mechanics 2, 193–203 (1962). https://doi.org/10.1007/BF02325799
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DOI: https://doi.org/10.1007/BF02325799