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Update solution VW
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mopolz2 committed Dec 6, 2024
1 parent 74005b7 commit d8017ec
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5 changes: 3 additions & 2 deletions src/pages/sta/virtual_work.astro
Original file line number Diff line number Diff line change
Expand Up @@ -150,11 +150,12 @@ For example, if a truss is completely pinned on one end, it doesn't move, which
<p>
<Enumerate>
<Item> Draw the free body diagram of the structure. In this case, we have the support reactions at points A and G and the force P and spring force. </Item>
<Image src='/Statics/VWorkFigures/TrussFBD1.png' width='3'></Image>
<Image src='/Statics/VWorkFigures/TrussFBD1v2.png' width='3'></Image>
<Item> Sketch the deflected position. </Item>
<Image src='/Statics/VWorkFigures/TrussFBD2.png' width='3'></Image>
<Image src='/Statics/VWorkFigures/TrussFBD2v2.png' width='3'></Image>
<Item> Define the position coordinates from a fixed point. </Item>
For this problem, we are defining the coordinates of points B and D from the fixed point A.
<Image src='/Statics/VWorkFigures/TrussFBD3.png' width='3'></Image>
<DisplayEquation equation="\\vec{r_B} = l sin\\theta \\hat{i} + l cos\\theta\\hat{j}"/>
<DisplayEquation equation="\\vec{r_D} = 3l sin\\theta \\hat{i} + l cos\\theta\\hat{j}"/>
<Item>Identify forces that have components parallel to the virtual displacements. For this problem, this would be the force of the spring <InlineEquation equation="F_S"/> and the applied load <InlineEquation equation="P"/>.</Item>
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