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Update stress.astro
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jcrayb committed Sep 5, 2024
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Expand Up @@ -183,7 +183,9 @@ Determine the shear stress in the bolt.

<Image src="/Solid_Mechanics/Stress-Figures/Stress Element.png" width="8"> Stress element</Image>

<p>
The components of normal and shear stress can be combined into the stress tensor. This is a symmetric matrix representing the state of stress with respect to three directions.
</p>

<DisplayEquation equation=" T= \\begin{bmatrix} \\sigma_{x} & \\tau_{xy} & \\tau_{xz} \\\\ \\tau_{yx}& \\sigma_{y} & \\tau_{yz} \\\\ \\tau_{zx}&\\tau_{zy}&\\sigma_{z} \\end{bmatrix} \\" />

Expand All @@ -194,6 +196,8 @@ Determine the shear stress in the bolt.
<Item> Six shear stress components: <InlineEquation equation="\\tau_{xy} =\\tau_{yx}, \\tau_{xz}=\\tau_{zx}, \\tau_{yz}=\\tau_{zy}" /></Item>
</Itemize>

<p>Learn more about this topic on the <a href="/sol/stress_transformation">Stress Transformation</a> page.</p>

The first subscript describes the surface <strong>orientation</strong> in the normal direction. The second subscript describes the <strong>direction</strong> of the stress.

</SubSubSection>
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