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Stress concentrations in tensile strips with large circular holes

Results of investigation indicate that the stress-concentration factor based on net area approaches a value of one as the ratio of hole diameter to bar width approaches a value of one

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Abstract

The purpose of this investigation was to determine more accurately the stress concentrations in tensile strips having large circular holes where the ratio of the hole diameter to strip width is greater than 0.5 Results of numerical elasticity analyses are presented for ratios of hole diameter to bar width ranging from 0.10 to 0.99, and photoelastic data are presented for the range from 0.40 to 0.94. Both numerical results and photoelastic data indicate that the stress-concentration factor based on net area approaches a value of one as the ratio of hole diameter to bar width approaches a value of one.

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Abbreviations

Anet :

net area, in.2

a :

hole diameter, in

f :

fringe-stress coefficient, psi/fringe/in

k :

stress-concentration factor, based on net area

k b :

stress-concentration factor at test hole, based on net area

k s :

stress-concentration factor at calibration hole, based on net area

n max :

maximum fringe order, fringes

P :

load, lb

t :

thickness, in

w :

thickness, in

w b :

net bar width at test hole, in

w s :

net bar width at calibration hole, in

Δn b :

change in fringe order at test hole, fringes

Δn s :

change in fringe order at calibration hole, fringes

σ:

applied stress, based on gross area, psi

σmax :

maximum stress, psi

σnet :

nominal stress, based on net area, psi

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Authors and Affiliations

  1. School of Aerospace, Mechanical and Nuclear Engineering, University of Oklahoma, Norman, Okla.

    R. G. Belie (Graduate Student) & F. J. Appl (Associate Professor)

Authors
  1. R. G. Belie
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  2. F. J. Appl
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Belie, R.G., Appl, F.J. Stress concentrations in tensile strips with large circular holes. Experimental Mechanics 12, 190–195 (1972). https://doi.org/10.1007/BF02330272

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  • DOI: https://doi.org/10.1007/BF02330272

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