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Tension of a finite-width thin element with a circular hole

Finite-width thin element with a circular hole H h σ σ d
Finite-width thin element with a circular hole

Values for calculation

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

Calculation

Stress concentration factor with the nominal stress based on gross area

$$K_{tg}=0.284+\cfrac{2}{1-d/H}-0.600\cdot\left(1-\cfrac{d}{H}\right)+1.32\cdot\left(1-\cfrac{d}{H}\right)^2$$
$K_{tg}=0.284+\cfrac{2}{1-d/H}-0.600\cdot\left(1-\cfrac{d}{H}\right)+1.32\cdot\left(1-\cfrac{d}{H}\right)^2$
Equations in LaTeX code
K_{tg}=0.284+\cfrac{2}{1-d/H}-0.600\cdot\left(1-\cfrac{d}{H}\right)+1.32\cdot\left(1-\cfrac{d}{H}\right)^2

Stress concentration factor with the nominal stress based on net area

$$K_{tn}=K_{tg}\cdot\left(1-\cfrac{d}{H}\right)$$
$K_{tn}=K_{tg}\cdot\left(1-\cfrac{d}{H}\right)$
Equations in LaTeX code
K_{tn}=K_{tg}\cdot\left(1-\cfrac{d}{H}\right)

Maximum normal stress

$$σ_{max}=K_{tg}\cdot σ$$
$σ_{max}=K_{tg}\cdot σ$
Equations in LaTeX code
σ_{max}=K_{tg}\cdot σ
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