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Two U-notches in a member of rectangular section for elastic stress, out-of-plane bending

Two_U-notches_in_a_member_of_rectangular_section
Two U-notches in a member of rectangular section

Values for calculation

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

Calculation

Coefficient $ C_1 $

$$C_1=1.031+0.831\cdot\sqrt{h/r}+0.014\cdot h/r$$

Coefficient $ C_2 $

$$C_2=-1.227-1.646\cdot\sqrt{h/r}+0.117\cdot h/r$$

Coefficient $ C_3 $

$$C_3=3.337-0.750\cdot\sqrt{h/r}+0.469\cdot h/r$$

Coefficient $ C_4 $

$$C_4=-2.141+1.566\cdot\sqrt{h/r}-0.600\cdot h/r$$

The elastic stress concentration factor

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

Requirements

$$0.25 \le h/r \le 4.0$$