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Central circular hole in a member of rectangular cross section for elastic stress, axial tension

Central circular hole in a member of rectangular cross section r t D
Central circular hole in a member of rectangular cross section
Elastic stress, axial tension P P σ max
Elastic stress, axial tension

Values for calculation

$P$ $\mathrm{N}$
$D$ $\mathrm{mm}$
$t$ $\mathrm{mm}$
$r$ $\mathrm{mm}$

Calculation

The elastic stress concentration factor

$$K_t=3-3.13\cdot\left(\cfrac{2\cdot r}{D}\right)+3.66\cdot\left(\cfrac{2\cdot r}{D}\right)^2-1.53\cdot\left(\cfrac{2\cdot r}{D}\right)^3$$
$K_t=3-3.13\cdot\left(\cfrac{2\cdot r}{D}\right)+3.66\cdot\left(\cfrac{2\cdot r}{D}\right)^2-1.53\cdot\left(\cfrac{2\cdot r}{D}\right)^3$
Equations in LaTeX code
K_t=3-3.13\cdot\left(\cfrac{2\cdot r}{D}\right)+3.66\cdot\left(\cfrac{2\cdot r}{D}\right)^2-1.53\cdot\left(\cfrac{2\cdot r}{D}\right)^3

Nominal or reference normal stress

$$σ_{nom}=\cfrac{P}{t\cdot\left(D-2\cdot r\right)}$$
$σ_{nom}=\cfrac{P}{t\cdot\left(D-2\cdot r\right)}$
Equations in LaTeX code
σ_{nom}=\cfrac{P}{t\cdot\left(D-2\cdot r\right)}

Maximum normal stress

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