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

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 $

$$C_1=4.000$$

Coefficient $ C_2 $

$$C_2=-6.793+1.133\cdot d/D-0.126\cdot\left(d/D\right)^2$$

Coefficient $ C_3 $

$$C_3=38.382-7.242\cdot d/D+6.495\cdot\left(d/D\right)^2$$

Coefficient $ C_4 $

$$C_4=-44.576-7.428\cdot d/D+58.656\cdot\left(d/D\right)^2$$

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

$$d/D \le 0.9$$$$2\cdot r/D \le 0.4$$