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Radial hole in a hollow or solid circular shaft for elastic stress, axial tension

Radial hole in a hollow or solid circular shaft D d r
Radial hole in a hollow or solid circular shaft

Values for calculation

$ D $ $ \mathrm{mm} $
$ r $ $ \mathrm{mm} $
$ d $ $ \mathrm{mm} $

Calculation

Coefficient $ C_1 $

$$C_1=3.000$$

Coefficient $ C_2 $

$$C_2=2.773+1.529\cdot d/D-4.379\cdot\left(d/D\right)^2$$

Coefficient $ C_3 $

$$C_3=-0.421-12.782\cdot d/D+22.781\cdot\left(d/D\right)^2$$

Coefficient $ C_4 $

$$C_4=16.841+16.678\cdot d/D-40.007\cdot\left(d/D\right)^2$$

The elastic stress concentration factor

$$K_t=C_1+C_2\cdot\left(\cfrac{2\cdot r}{D}\right)+C_3\cdot\left(\cfrac{2\cdot r}{D}\right)^2+C_4\cdot\left(\cfrac{2\cdot r}{D}\right)^3$$

Requirements

$$ d/D \le 0.9 $$ $$ 2\cdot r/D \le 0.45 $$