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Influence of breadth in bars with reinforced circular holes under tension

Photoelastic investigation of stress distribution in epoxy-resin bars includes various proportions of circular reinforcements and different widths of bars

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Abstract

This paper reports stress distributions in epoxy-resin bars with reinforced circular holes under tension. The holes were reinforced by bonding aluminum rings to the bars inside the holes. The stress distributions were determined photoelastically.

Various proportions of circular reinforcements and different widths of bars were investigated under pure tension. Stress distributions were determined in the epoxy-resin part of the bar, and the maximum shear stresses were given special attention. The relation between maximum shear stress and the width of the bar was determined, and the ranges for which the theoretical solution for an infinite bar approximates that for a finite bar were defined.

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Abbreviations

1/λ:

b/R 2

b :

half the width of the bar

d :

width of the reinforcement

h :

thickness of bar

n :

R 2 /R 1

R 1 :

inner radius of the reinforcement

R 2 :

outer radius of the reinforcement

p :

uniform axial stress

ν:

poisson's ratio

μ:

modulus of rigidity of epoxy resin

μ1 :

modulus of rigidity of aluminum

τm :

maximum shear stress at the edge of the reinforced hole

σ x , σ y :

normal stresses, (x, y) coordinates

σ r , σ θ , τ r ̓ θ :

stress components of (r, θ) coordinates

r, θ:

polar coordinates with origin at the center of the hole

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Shimada, H. Influence of breadth in bars with reinforced circular holes under tension. Experimental Mechanics 1, 33–39 (1961). https://doi.org/10.1007/BF02324127

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  • DOI: https://doi.org/10.1007/BF02324127

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