https://hades.mech.northwestern.edu//index.php?action=history&feed=atom&title=Mohr%27s_Circle 2026-04-13T02:27:36Z Revision history for this page on the wiki MediaWiki 1.35.9 https://hades.mech.northwestern.edu//index.php?title=Mohr%27s_Circle&diff=2926&oldid=prev 2006-07-04T21:47:47Z

<p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 21:47, 4 July 2006</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 10:</td> <td colspan="2" class="diff-lineno">Line 10:</td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><br /></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><br /></td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><div>&lt;math&gt;\sigma_2=\frac{1}{2}\left(\sigma_x+\sigma_y\right)-\frac{1}{2}\sqrt{\left(\sigma_x-\sigma_y\right)^2+4\tau_{xy}^2}&lt;/math&gt;</div></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><div>&lt;math&gt;\sigma_2=\frac{1}{2}\left(\sigma_x+\sigma_y\right)-\frac{1}{2}\sqrt{\left(\sigma_x-\sigma_y\right)^2+4\tau_{xy}^2}&lt;/math&gt;</div></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><br /></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><div>==Mohr's Circle for 3D==</div></td> </tr> </table>

Stephens https://hades.mech.northwestern.edu//index.php?title=Mohr%27s_Circle&diff=2925&oldid=prev 2006-07-04T21:47:14Z

<p><span dir="auto"><span class="autocomment">Mohr&#039;s Circle for 2D</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 21:47, 4 July 2006</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><div>==Mohr's Circle for 2D==</div></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><div>==Mohr's Circle for 2D==</div></td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><br /></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><br /></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><div>Mohr's circle is a tool for analyzing element stress. The drawing below shows mohr's circle and some of the relavent points of interest.</div></td> </tr> <tr> <td class="diff-marker"><a class="mw-diff-movedpara-left" title="Paragraph was moved. Click to jump to new location." href="#movedpara_3_1_rhs">&#x26AB;</a></td> <td class="diff-deletedline diff-side-deleted"><div><a name="movedpara_2_0_lhs"></a>[[image:mohrs circle.png|center<del class="diffchange diffchange-inline">|600px</del>]]</div></td> <td colspan="2" class="diff-empty diff-side-added"></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><br /></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker"><a class="mw-diff-movedpara-right" title="Paragraph was moved. Click to jump to old location." href="#movedpara_2_0_lhs">&#x26AB;</a></td> <td class="diff-addedline diff-side-added"><div><a name="movedpara_3_1_rhs"></a>[[image:mohrs circle.png|center]]</div></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><br /></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><div>Given a state of stress, &lt;math&gt;(\sigma_x,\sigma_y,\tau_{xy})&lt;/math&gt;, we can calculate the principle stresses,</div></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><br /></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><div>&lt;math&gt;\sigma_1=\frac{1}{2}\left(\sigma_x+\sigma_y\right)+\frac{1}{2}\sqrt{\left(\sigma_x-\sigma_y\right)^2+4\tau_{xy}^2}&lt;/math&gt;</div></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><br /></td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><div>&lt;math&gt;\sigma_2=\frac{1}{2}\left(\sigma_x+\sigma_y\right)-\frac{1}{2}\sqrt{\left(\sigma_x-\sigma_y\right)^2+4\tau_{xy}^2}&lt;/math&gt;</div></td> </tr> </table>

Stephens https://hades.mech.northwestern.edu//index.php?title=Mohr%27s_Circle&diff=2924&oldid=prev 2006-07-04T21:42:41Z

<p><span dir="auto"><span class="autocomment">Mohr&#039;s Circle for 2D</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 21:42, 4 July 2006</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><div>==Mohr's Circle for 2D==</div></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><div>==Mohr's Circle for 2D==</div></td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><br /></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><br /></td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td class="diff-deletedline diff-side-deleted"><div>[[image:mohrs circle.png|center|<del class="diffchange diffchange-inline">500px</del>]]</div></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><div>[[image:mohrs circle.png|center|<ins class="diffchange diffchange-inline">600px</ins>]]</div></td> </tr> </table>

Stephens https://hades.mech.northwestern.edu//index.php?title=Mohr%27s_Circle&diff=2923&oldid=prev 2006-07-04T21:42:34Z

<p><span dir="auto"><span class="autocomment">Mohr&#039;s Circle for 2D</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 21:42, 4 July 2006</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><div>==Mohr's Circle for 2D==</div></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><div>==Mohr's Circle for 2D==</div></td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><br /></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><br /></td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td class="diff-deletedline diff-side-deleted"><div>[[image:mohrs circle.png|center]]</div></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><div>[[image:mohrs circle.png|center<ins class="diffchange diffchange-inline">|500px</ins>]]</div></td> </tr> </table>

Stephens https://hades.mech.northwestern.edu//index.php?title=Mohr%27s_Circle&diff=2922&oldid=prev 2006-07-04T21:41:23Z

<p><span dir="auto"><span class="autocomment">Mohr&#039;s Circle for 2D</span></span></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 21:41, 4 July 2006</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><div>==Mohr's Circle for 2D==</div></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><div>==Mohr's Circle for 2D==</div></td> </tr> <tr> <td class="diff-marker"></td> <td class="diff-context diff-side-deleted"><br /></td> <td class="diff-marker"></td> <td class="diff-context diff-side-added"><br /></td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td class="diff-deletedline diff-side-deleted"><div>[[image:mohrs circle.png]]</div></td> <td class="diff-marker" data-marker="+"></td> <td class="diff-addedline diff-side-added"><div>[[image:mohrs circle.png<ins class="diffchange diffchange-inline">|center</ins>]]</div></td> </tr> </table>

Stephens https://hades.mech.northwestern.edu//index.php?title=Mohr%27s_Circle&diff=2920&oldid=prev 2006-07-04T21:40:41Z

<p></p> <p><b>New page</b></p><div>==Mohr&#039;s Circle for 2D==<br /> <br /> [[image:mohrs circle.png]]</div>

Stephens