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

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 $

$$C_2=-6.690-1.620\cdot d/D+4.432\cdot\left(d/D\right)^2$$

Coefficient $ C_3 $

$$C_3=44.739+10.724\cdot d/D-19.927\cdot\left(d/D\right)^2$$

Coefficient $ C_4 $

$$C_4=-53.307-25.998\cdot d/D+43.258\cdot\left(d/D\right)^2$$

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

$$d/D \le 0.9$$$$2\cdot r/D \le 0.3$$