Skip to content

Commit

Permalink
Update virtual_work.astro
Browse files Browse the repository at this point in the history
  • Loading branch information
kelliehalloran authored Nov 20, 2024
1 parent 0f92b3f commit c517fcc
Showing 1 changed file with 5 additions and 5 deletions.
10 changes: 5 additions & 5 deletions src/pages/sta/virtual_work.astro
Original file line number Diff line number Diff line change
Expand Up @@ -35,7 +35,7 @@ import Col from "../../components/Col.astro"

<Image src='/Statics/VWorkFigures/VirtualWork.png' width='3.5'></Image>

Virtual work (<InlineEquation equation='dU' />) is the work produced by a force (<InlineEquation equation='F' />) over an infinitesimally small displacement (<InlineEquation equation='dr' />).
Virtual work (<InlineEquation equation='dU' />) is the work produced by a force (<InlineEquation equation='F' />) over an infinitesimally small displacement (<InlineEquation equation='dr'/>).



Expand All @@ -49,11 +49,11 @@ Virtual work (<InlineEquation equation='dU' />) is the work produced by a force

<SubSection title="Virtual Displacements" id="virtual_displacements">

<p> A virtual displacement is an infinitesimally small displacement and/or rotation (<InlineEquation equation="dr \\text{ and/or } d\\theta"/>) that is possible in the system. </p>
<p> A virtual displacement is an infinitesimally small translation (<InlineEquation equation="dr"/>) and/or rotation (<InlineEquation equation="d\\theta"/>) that is possible in the system. </p>

<Image src='/Statics/VWorkFigures/VirtualDisp.png' width='7'></Image>
<Image src='/Statics/VWorkFigures/VirtualDisp.png' width='7'></Image>

<DisplayEquation equation="d\\vec{r_P} = d\\vec{r_A} + d\\theta \\vec{k} \\times \\vec{r_{AP}}" title="Virtual displacement." background="True" />
<!-- <DisplayEquation equation="d\\vec{r_P} = d\\vec{r_A} + d\\theta \\vec{k} \\times \\vec{r_{AP}}" title="Virtual displacement." background="True" /> -->

<br>
<em>Note:</em> virtual displacements are assumed to be possible, but don't actually exist.
Expand Down Expand Up @@ -96,7 +96,7 @@ Virtual work (<InlineEquation equation='dU' />) is the work produced by a force

<SubSection title="Principle of Virtual Work" id="principle_virtual_work">

If a body is in equilibrium, the sum of the virtual work done by all the forces and couple moments acting on the body is zero.
If a body is in equilibrium, the sum of the virtual work done by all the forces and couple moments acting on the body is zero. We can use this principle to solve for the forces on systems with virtual work.

<DisplayEquation equation="\\sum{dU} = \\sum{\\vec{F}d\\vec{x}} + \\sum{\\vec{M}d\\vec{\\theta}} = 0 " title="Virtual work equilibrium." background="True"/>

Expand Down

0 comments on commit c517fcc

Please sign in to comment.