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Fillet and groove stress concentrations

Experimentally determined stresses for semicircular grooves and fillets with uniaxially and biaxially applied loads are discussed by the authors

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Abstract

Utilizing the birefringent-coating technique complemented with data from electrical-resistance type of strain gages, the whole field stresses and stress-concentration factors were determined for single fillets and grooves for uniaxially and biaxially applied loads. The experimentally determined stress-concentration factors for the nonsymmetrical specimens subjected to uniaxially applied loads were considerably higher than the previously determined factors for symmetrical specimens subjected to uniaxial loads, or for the specimens in this study having a similar geometry but subjected to biaxial loads. The particular stress-concentration factors determined are not available in the literature, and these factors should, therefore, be especially useful for design purposes.

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Abbreviations

E s :

Young's modulus of structure, psi

K :

strain sensitivity constant, fringe/(μin./in.)

N n ,N 0 :

difference of compensator divisions between load and no load, normal incidence and oblique incidence, respectively, divisions

p :

internal pressure, psi

r :

radius of fillet or groove, in.

S 1,c :

stress constants, psi/rel. retard.

SCF :

stress-concentration factor, experimental stress divided by mean stress in reduced section, numeric

W :

Babinet compensator constant, div./fringe

d :

shell inside diameter, in.

t s ,t p :

thickness of shell, and birefringent coating, respectively, in.

t max,t min :

maximum and minimum thickness, respectively, in.

λ:

wave length of light, in.

\(\mu _s\) :

Poisson's ratio of structure, numeric

σ:

stress, psi

x :

distance measured from intersection of fillet and shell wall having maximum thickness, or distance measured from groove centerline, in.

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Bynum, D.J., DeHart, R.C. Fillet and groove stress concentrations. Experimental Mechanics 4, 160–166 (1964). https://doi.org/10.1007/BF02329633

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  • DOI: https://doi.org/10.1007/BF02329633

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