{include: ANSYS WB - Plate With a Hole Demo - Panel}

h1. Plate With a Hole Tutorial - Pre-Analysis and Start-Up

h3. Pre-Analysis Calculations 

First, let's solve for the maximum normal stress in the plate. To find the maximum stress, we need to find the stress concentration factor. It can be found using the chart below taken from Beer, DeWolf, and Johnston's Mechanics of Materials

!Stress concentration.png!

Using the dimensions from the problem specification, we find that {latex} $\frac{r}{d} = \frac{.25}{5-.5}= .0556$ {latex} Using the chart, we can estimate {latex} $K \approx 2.8 $ {latex}. The maximum stress can be found using the formula

{latex}
$\sigma_{max} = K*\sigma_{avg} $
{latex}

where K is the concentration factor, and

{latex} 
$\sigma_{avg} = \frac{F}{A_{minimum}} = \frac{F}{t*w} = \frac{100000}{.1 * (5-.5)} = 2.22*10^{5} $ psi
{latex}


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