## Rectangular bar with a hole, out-of-plane-bending

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Stress concentration factor (SCF) for a rectangular bar with a hole, out-of-plane-bending moment $$M$$, thickness $$h$$, width $$w$$, hole diameter $$d$$.
$$K_t$$ is calculated so that the max. von Mises stress can be calculated as $$\sigma^\prime = K_t 6 M / [(w-d) h^3]$$.

 Enter $$d/h$$ : Enter $$d/w$$ : $$K_t$$ = 3

In this site, $$K_t$$ is calculated by a response surface that has been adjusted to 35 simulation points spanning the domain $$d/h=[0,10]$$, $$d/w=[0,0.5]$$, as shown below.

The 35 data points have been calculated automatically by 105+ Abaqus simulations using a parameterized (Python) script. The number of simulations is 3X the number of data points because computing $$K_t$$ for each pair $$[d/h,d/w]$$ requires 3+ simulations to achive a solution with less than 1% error, by invoking automatic adaptive mesh refinement for each data point within the script.

You can learn how to produce similar simulations here [link to be provided].

Here is a 2D plot of $$K_t$$ vs. $$d/w$$.

Here is a plot of $$K_t$$ vs. $$d/h$$.