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Uniaxial tension of a finite-width thin element with an infinite row of circular holes stress parallel to the axis of the holes

Finite-width thin element with an infinite row of circular holes stress parallel to the axis of the holes H σ σ l d σ max
Finite-width thin element with an infinite row of circular holes stress parallel to the axis of the holes

Values for calculation

$ σ $ $ \mathrm{MPa} $
$ H $ $ \mathrm{mm} $
$ d $ $ \mathrm{mm} $
$ l $ $ \mathrm{mm} $

Calculation

Coefficient $ C_1 $

$$C_1=1.949+1.476\cdot\left(\cfrac{d}{H}\right)$$

Coefficient $ C_2 $

$$C_2=0.916-2.845\cdot\left(\cfrac{d}{H}\right)$$

Coefficient $ C_3 $

$$C_3=-1.926+1.069\cdot\left(\cfrac{d}{H}\right)$$

Stress concentration factor with the nominal stress based on net area

$$K_{tn}=C_1+C_2\cdot\left(\cfrac{d}{l}\right)+C_3\cdot\left(\cfrac{d}{l}\right)^2$$

Nominal or reference normal stress

$$σ_{nom}=\cfrac{σ}{1-d/H}$$

Maximum normal stress

$$σ_{max}=K_{tn}\cdot σ_{nom}$$