# Square shoulder with fillet in a member of rectangular section for elastic stress, in-plane bending

## Values for calculation

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

## Calculation

### Coefficient $C_1$

$\text{if }\ 0.1\le h/r\le 2.0$
$$C_1=1.007+1.000\cdot\sqrt{h/r}-0.031\cdot h/r$$
$\text{else}$
$$C_1=1.042+0.982\cdot\sqrt{h/r}-0.036\cdot h/r$$

### Coefficient $C_2$

$\text{if }\ 0.1\le h/r\le 2.0$
$$C_2=-0.270-2.404\cdot\sqrt{h/r}+0.749\cdot h/r$$
$\text{else}$
$$C_2=-3.599+1.619\cdot\sqrt{h/r}-0.431\cdot h/r$$

### Coefficient $C_3$

$\text{if }\ 0.1\le h/r\le 2.0$
$$C_3=0.677+1.133\cdot\sqrt{h/r}-0.904\cdot h/r$$
$\text{else}$
$$C_3=6.084-5.607\cdot\sqrt{h/r}+1.158\cdot h/r$$

### Coefficient $C_4$

$\text{if }\ 0.1\le h/r\le 2.0$
$$C_4=-0.414+0.271\cdot\sqrt{h/r}+0.186\cdot h/r$$
$\text{else}$
$$C_4=-2.527+3.006\cdot\sqrt{h/r}-0.691\cdot h/r$$

### 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

$$0.1 \le h/r \le 20$$$$\cfrac{L}{D} > \cfrac{0.8}{\left[r/\left(D-2\cdot h\right)\right]^{1/4}}$$