Menu

Infinite row of elliptical holes in an infinite tension member

Infinite row of elliptical holes in an infinite tension member σ σ σ max 2a 2 b c
Infinite row of elliptical holes in an infinite tension member

Values for calculation

$σ$ $\mathrm{MPa}$
$a$ $\mathrm{mm}$
$b$ $\mathrm{mm}$
$c$ $\mathrm{mm}$

Calculation

Stress concentration factor with the nominal stress based on net area

$$K_{tn}=\left[1.002-1.016\cdot\left(\cfrac{2\cdot a}{c}\right)+0.253\cdot\left(\cfrac{2\cdot a}{c}\right)^2\right]\cdot\left(1+\cfrac{2\cdot a}{b}\right)$$
$K_{tn}=\left[1.002-1.016\cdot\left(\cfrac{2\cdot a}{c}\right)+0.253\cdot\left(\cfrac{2\cdot a}{c}\right)^2\right]\cdot\left(1+\cfrac{2\cdot a}{b}\right)$
Equations in LaTeX code
K_{tn}=\left[1.002-1.016\cdot\left(\cfrac{2\cdot a}{c}\right)+0.253\cdot\left(\cfrac{2\cdot a}{c}\right)^2\right]\cdot\left(1+\cfrac{2\cdot a}{b}\right)

Nominal or reference normal stress

$$σ_{nom}=\cfrac{σ}{1-2\cdot a/c}$$
$σ_{nom}=\cfrac{σ}{1-2\cdot a/c}$
Equations in LaTeX code
σ_{nom}=\cfrac{σ}{1-2\cdot a/c}

Maximum normal stress

$$σ_{max}=K_{tn}\cdot σ_{nom}$$
$σ_{max}=K_{tn}\cdot σ_{nom}$
Equations in LaTeX code
σ_{max}=K_{tn}\cdot σ_{nom}

Stress concentration factor with the nominal stress based on gross area

$$K_{tg}=\cfrac{σ_{max}}{σ}$$
$K_{tg}=\cfrac{σ_{max}}{σ}$
Equations in LaTeX code
K_{tg}=\cfrac{σ_{max}}{σ}
On this page