{"id":1471,"date":"2021-01-07T16:52:52","date_gmt":"2021-01-07T16:52:52","guid":{"rendered":"https:\/\/pickedshares.com\/?p=1471"},"modified":"2021-01-07T16:52:52","modified_gmt":"2021-01-07T16:52:52","slug":"mohrs-first-circle-uniaxial-stress","status":"publish","type":"post","link":"https:\/\/pickedshares.com\/en\/mohrs-first-circle-uniaxial-stress\/","title":{"rendered":"Mohr's first circle, uniaxial stress"},"content":{"rendered":"\n<p>How do you draw a Mohr's circle of stress? With our online generator!<\/p>\n\n\n\n<p>The following online generator can be used to generate or \"draw\" the first circle according to MOHR for the uniaxial stress state. Enter the principal stress and the angle of the cutting plane. The representation of the stress circle is scaled, i.e. the diameter always appears the same. Valid values \u200b\u200bfor the inputs are both positive and negative tensions and positive angles in the range from 0 to 45 \u00b0.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Generator<\/h2>\n\n\n\n\n<div id=\"mohr_single\" style=\"display: grid\">\n<label for=\"sigma\">Principal stress \u03c3<sub>0<\/sub> in N\/mm\u00b2<\/label>\n<p><input id=\"sigma\" type=\"text\"><\/p>\n<label for=\"phi\">Angle \u03c6 in \u00b0<\/label>\n<p><input id=\"phi\" type=\"text\"><\/p>\n<div><svg id=\"leinwand\" style=\"height:600px;width:100%\">\n  \n<\/svg><\/div>\n<\/div>\n<!--noptimize-->\n<script src=\"https:\/\/ajax.googleapis.com\/ajax\/libs\/jquery\/3.5.1\/jquery.min.js\"><\/script>\n<script>\n\n$('input').keyup(function(){\nleinwand = document.getElementById('leinwand');\nleinwand.innerHTML = \"\";\n\n     \nsigma = document.getElementById('sigma').value;    \nphi = document.getElementById('phi').value;\n\nsigma = sigma.replace( \/,\/,\".\" );\n\n\nconsole.log(sigma);\n\nphi = phi.replace( \/,\/,\".\" );\nphi = phi * Math.PI\/180;\n\nif (sigma > 0 && phi > 0 && phi <= (Math.PI\/4)){\n\nscale = 400\/sigma;\nsigma = sigma * scale;\n\noffset = 50;\nr = sigma\/2;\nAx = (sigma\/2 + offset);\nAy = (sigma\/2 + offset*1.5);\nBx = (r*Math.cos(2*phi)+Ax)\nBy = (Ay - r*Math.sin(2*phi))\nCx = offset;\nCy = Ay;\nDx = Bx;\nDy = Ay;\nEx = Cx;\nEy = (Cy+1.2*r);\nFx = Dx;\nFy = Ey;\nGx = Ex;\nGy = (Ey + 50);\nHx = (Ax +r);\nHy = Gy;\n\n\/\/ Kreis\nleinwand.innerHTML = leinwand.innerHTML + \"<circle cx='\"+Ax +\"' cy='\"+Ay +\"' r='\"+r+\"' stroke='black' stroke-width='2' fill='white' \/>\";\n\n\/\/ Ma\u00dfkreis 2 phi\nleinwand.innerHTML = leinwand.innerHTML + \"<g stroke='black' fill='none' stroke-width='1' stroke-linecap='round'><path d='M \"+(Ax+0.33*r)+\" \"+Ay+\" A \"+0.33*r+\" \"+0.33*r+\" 0 0 0 \"+(Ax+0.33*r*Math.cos(2*phi))+\" \"+(Ay-0.33*r*Math.sin(2*phi))+\"' \/><\/g>\";\n\n\/\/ Ma\u00dfkreis phi\nleinwand.innerHTML = leinwand.innerHTML + \"<g stroke='black' fill='none' stroke-width='1' stroke-linecap='round'><path d='M \"+(Cx+0.33*r)+\" \"+Cy+\" A \"+0.33*r+\" \"+0.33*r+\" 0 0 0 \"+(Cx+0.33*r*Math.cos(phi))+\" \"+(Cy-0.33*r*Math.sin(phi))+\"' \/><\/g>\";\n\n\/\/Radius\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Ax+\"' y1='\"+Ay+\"' x2='\"+Bx+\"' y2='\"+By+\"' style='stroke:rgb(0,0,0);stroke-width:2' \/>\";\n\n\/\/Verbindungslinie vom Anfang\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Cx+\"' y1='\"+Ay+\"' x2='\"+Bx+\"' y2='\"+By+\"' style='stroke:rgb(0,0,0);stroke-width:2' \/>\";\n\n\/\/ tau(phi)\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Dx+\"' y1='\"+Dy+\"' x2='\"+Bx+\"' y2='\"+By+\"' style='stroke:rgb(0,0,0);stroke-width:2' \/>\";\n\n\/\/ Koordinatensystem\n\/\/ sigma\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Cx+\"' y1='\"+Cy+\"' x2='\"+(2.2*r+offset)+\"' y2='\"+Ay+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\n\/\/Pfeilspitze\nleinwand.innerHTML = leinwand.innerHTML + \"<polygon points='\"+(2.2*r+offset)+\",\"+(Ay-4)+\" \"+(2.2*r+offset)+\",\"+(Ay+4)+\" \"+(2.2*r+offset+15)+\",\"+(Ay)+\"' style='fill:black;stroke:black;stroke-width:1' \/>\";\n\n\/\/tau\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+offset+\"' y1='\"+Ay+\"' x2='\"+offset+\"' y2='\"+(Ay-1.2*r)+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\n\/\/Pfeilspitze\nleinwand.innerHTML = leinwand.innerHTML + \"<polygon points='\"+(offset-4)+\",\"+(Ay-1.2*r)+\" \"+(offset)+\",\"+(Ay-1.2*r-15)+\" \"+(offset+4)+\",\"+(Ay-1.2*r)+\"' style='fill:black;stroke:black;stroke-width:1' \/>\";\n\n\/\/sigma 0\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(offset+r)+\"' y='\"+(Gy-10)+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(offset+r)+\"' y='\"+(Gy-10)+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>s<tspan style='font-size:10px' id='tspan21661' dy='1.4'>0<\/tspan><\/tspan><\/text>\";\n\n\/\/sigma phi\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(Ex-20+(Fx-Ex)\/2)+\"' y='\"+(Ey-10)+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(Ex-20+(Fx-Ex)\/2)+\"' y='\"+(Ey-10)+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>s<tspan style='font-size:10px' id='tspan21661' dy='1.4'>f<\/tspan><tspan style='font-size:16px;font-family:sans-serif' id='tspan21661' dy=''>= \"+Math.round(r\/scale + r\/scale*Math.cos(2*phi))+\" N\/mm\u00b2<\/tspan><\/tspan><\/text>\";\n\n\/\/tau phi (annotation)\nleinwand.innerHTML = leinwand.innerHTML + \"<circle cx='\"+(Fx+15) +\"' cy='\"+(By-2+(Dy-By)\/2) +\"' r='\"+8+\"' stroke='white' stroke-width='1' fill='white' \/>\";\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(Fx+10)+\"' y='\"+(By+(Dy-By)\/2)+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(Fx+10)+\"' y='\"+(By+(Dy-By)\/2)+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>t<tspan style='font-size:10px' id='tspan21661' dy='1.4'>f<\/tspan><tspan style='font-size:16px;font-family:sans-serif' id='tspan21661' dy=''>= \"+Math.round(r\/scale*Math.sin(2*phi))+\" N\/mm\u00b2<\/tspan><\/tspan><\/text>\";\n\n\/\/sigma axis annotation\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(Hx+30)+\"' y='\"+(Ay+20)+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(Hx+30)+\"' y='\"+(Ay+20)+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>s<\/tspan><\/text>\";\n\n\/\/tau axis annotation\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(Cx-20)+\"' y='\"+(Cy-1.2*r)+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(Cx-20)+\"' y='\"+(Cy-1.2*r)+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>t<\/tspan><\/text>\";\n\n\/\/2 phi annotation\nleinwand.innerHTML = leinwand.innerHTML + \"<circle cx='\"+(Ax+8+r*0.167*Math.cos(phi)) +\"' cy='\"+(Ay-4-r*0.167*Math.sin(phi)) +\"' r='\"+9+\"' stroke='white' stroke-width='1' fill='white' \/>\";\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(Ax+r*0.167*Math.cos(phi))+\"' y='\"+(Ay-r*0.167*Math.sin(phi))+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(Ax+r*0.167*Math.cos(phi))+\"' y='\"+(Ay-r*0.167*Math.sin(phi))+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>2f<\/tspan><\/text>\";\n\n\/\/phi annotation\nleinwand.innerHTML = leinwand.innerHTML + \"<circle cx='\"+(Cx+4+r*0.167*Math.cos(phi\/2)) +\"' cy='\"+(Cy-4-r*0.167*Math.sin(phi\/2)) +\"' r='\"+5+\"' stroke='white' stroke-width='1' fill='white' \/>\";\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(Cx+r*0.167*Math.cos(phi\/2))+\"' y='\"+(Cy-r*0.167*Math.sin(phi\/2))+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(Cx+r*0.167*Math.cos(phi\/2))+\"' y='\"+(Cy-r*0.167*Math.sin(phi\/2))+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>f<\/tspan><\/text>\";\n\n\n\/\/Dimension sigma(phi)\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Ex+\"' y1='\"+Ey+\"' x2='\"+Fx+\"' y2='\"+Fy+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\n\/\/Pfeilspitze links\nleinwand.innerHTML = leinwand.innerHTML + \"<polygon points='\"+(Ex+1)+\",\"+Ey+\" \"+(Ex+15)+\",\"+(Ey-4)+\" \"+(Ex+15)+\",\"+(Ey+4)+\"' style='fill:black;stroke:black;stroke-width:1' \/>\";\n\/\/Pfeilspitze rechts\nleinwand.innerHTML = leinwand.innerHTML + \"<polygon points='\"+(Fx-1)+\",\"+Fy+\" \"+(Fx-15)+\",\"+(Fy-4)+\" \"+(Fx-15)+\",\"+(Fy+4)+\"' style='fill:black;stroke:black;stroke-width:1' \/>\";\n\n\n\/\/Dimension sigma Null\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Gx+\"' y1='\"+Gy+\"' x2='\"+Hx+\"' y2='\"+Hy+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\n\/\/Pfeilspitze links\nleinwand.innerHTML = leinwand.innerHTML + \"<polygon points='\"+(Gx+1)+\",\"+Gy+\" \"+(Gx+15)+\",\"+(Gy-4)+\" \"+(Gx+15)+\",\"+(Gy+4)+\"' style='fill:black;stroke:black;stroke-width:1' \/>\";\n\/\/Pfeilspitze rechts\nleinwand.innerHTML = leinwand.innerHTML + \"<polygon points='\"+(Hx-1)+\",\"+Hy+\" \"+(Hx-15)+\",\"+(Hy-4)+\" \"+(Hx-15)+\",\"+(Hy+4)+\"' style='fill:black;stroke:black;stroke-width:1' \/>\";\n\n\/\/Ma\u00dfbezugslinien\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Cx+\"' y1='\"+Cy+\"' x2='\"+Gx+\"' y2='\"+Gy+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Hx+\"' y1='\"+Hy+\"' x2='\"+Hx+\"' y2='\"+Ay+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Fx+\"' y1='\"+Fy+\"' x2='\"+Dx+\"' y2='\"+Dy+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\n}\n\nif (Math.sign(sigma)==-1  &&  phi > 0  &&  phi <= (Math.PI\/4)){\n\nscale = 400\/sigma;\nsigma = sigma * scale;\n\noffset = 50;\nr = sigma\/2;\nAx = (sigma\/2 + offset);\nAy = (sigma\/2 + offset*1.5);\nBx = (Ax-r*Math.cos(2*phi))\nBy = (Ay + r*Math.sin(2*phi))\nCx = Ax+r;\nCy = Ay;\nDx = Bx;\nDy = Ay;\nEx = Cx;\nEy = (Cy+1.2*r);\nFx = Dx;\nFy = Ey;\nGx = offset;\nGy = (Ey + 50);\nHx = Ax+r;\nHy = Gy;\n\n\/\/ Kreis\nleinwand.innerHTML = leinwand.innerHTML + \"<circle cx='\"+Ax +\"' cy='\"+Ay +\"' r='\"+r+\"' stroke='black' stroke-width='2' fill='white' \/>\";\n\n\/\/ Ma\u00dfkreis 2 phi\nleinwand.innerHTML = leinwand.innerHTML + \"<g stroke='black' fill='none' stroke-width='1' stroke-linecap='round'><path d='M \"+(Ax-0.33*r)+\" \"+Ay+\" A \"+0.33*r+\" \"+0.33*r+\" 0 0 0 \"+(Ax-0.33*r*Math.cos(2*phi))+\" \"+(Ay+0.33*r*Math.sin(2*phi))+\"' \/><\/g>\";\n\n\/\/ Ma\u00dfkreis phi\nleinwand.innerHTML = leinwand.innerHTML + \"<g stroke='black' fill='none' stroke-width='1' stroke-linecap='round'><path d='M \"+(Cx-0.33*r)+\" \"+Cy+\" A \"+0.33*r+\" \"+0.33*r+\" 0 0 0 \"+(Cx-0.33*r*Math.cos(phi))+\" \"+(Cy+0.33*r*Math.sin(phi))+\"' \/><\/g>\";\n\n\/\/Radius\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Ax+\"' y1='\"+Ay+\"' x2='\"+Bx+\"' y2='\"+By+\"' style='stroke:rgb(0,0,0);stroke-width:2' \/>\";\n\n\/\/Verbindungslinie vom Anfang\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Cx+\"' y1='\"+Ay+\"' x2='\"+Bx+\"' y2='\"+By+\"' style='stroke:rgb(0,0,0);stroke-width:2' \/>\";\n\n\/\/ tau(phi)\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Dx+\"' y1='\"+Dy+\"' x2='\"+Bx+\"' y2='\"+By+\"' style='stroke:rgb(0,0,0);stroke-width:2' \/>\";\n\n\/\/ Koordinatensystem\n\/\/ sigma\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+offset+\"' y1='\"+Cy+\"' x2='\"+(2.2*r+offset)+\"' y2='\"+Ay+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\n\/\/Pfeilspitze\nleinwand.innerHTML = leinwand.innerHTML + \"<polygon points='\"+(2.2*r+offset)+\",\"+(Ay-4)+\" \"+(2.2*r+offset)+\",\"+(Ay+4)+\" \"+(2.2*r+offset+15)+\",\"+(Ay)+\"' style='fill:black;stroke:black;stroke-width:1' \/>\";\n\n\/\/tau\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+(offset+2*r)+\"' y1='\"+Ay+\"' x2='\"+(offset+2*r)+\"' y2='\"+(Ay-1.2*r)+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\n\/\/Pfeilspitze\nleinwand.innerHTML = leinwand.innerHTML + \"<polygon points='\"+(offset+2*r-4)+\",\"+(Ay-1.2*r)+\" \"+(offset+2*r)+\",\"+(Ay-1.2*r-15)+\" \"+(offset+2*r+4)+\",\"+(Ay-1.2*r)+\"' style='fill:black;stroke:black;stroke-width:1' \/>\";\n\n\/\/sigma 0\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(offset+r)+\"' y='\"+(Gy-10)+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(offset+r)+\"' y='\"+(Gy-10)+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>s<tspan style='font-size:10px' id='tspan21661' dy='1.4'>0<\/tspan><\/tspan><\/text>\";\n\n\/\/sigma phi\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(Ex-20+(Fx-Ex)\/2)+\"' y='\"+(Ey-10)+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(Ex-20+(Fx-Ex)\/2)+\"' y='\"+(Ey-10)+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>s<tspan style='font-size:10px' id='tspan21661' dy='1.4'>f<\/tspan><tspan style='font-size:16px;font-family:sans-serif' id='tspan21661' dy=''>= \"+Math.round(r\/scale+r\/scale*Math.cos(2*phi))+\" N\/mm\u00b2<\/tspan><\/tspan><\/text>\";\n\n\/\/tau phi (annotation)\nleinwand.innerHTML = leinwand.innerHTML + \"<circle cx='\"+(Fx+15) +\"' cy='\"+(By-2+(Dy-By)\/2) +\"' r='\"+8+\"' stroke='white' stroke-width='1' fill='white' \/>\";\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(Fx+10)+\"' y='\"+(By+(Dy-By)\/2)+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(Fx+10)+\"' y='\"+(By+(Dy-By)\/2)+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>t<tspan style='font-size:10px' id='tspan21661' dy='1.4'>f<\/tspan><tspan style='font-size:16px;font-family:sans-serif' id='tspan21661' dy=''>= \"+Math.round(r\/scale*Math.sin(2*phi))+\" N\/mm\u00b2<\/tspan><\/tspan><\/text>\";\n\n\/\/sigma axis annotation\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(Hx+30)+\"' y='\"+(Ay+20)+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(Hx+30)+\"' y='\"+(Ay+20)+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>s<\/tspan><\/text>\";\n\n\/\/tau axis annotation\nleinwand.innerHTML = leinwand.innerHTML + \"<text xml:space='preserve' style='font-style:normal;font-weight:normal;font-size:16px;line-height:1.25;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.25' x='\"+(offset+2*r+20)+\"' y='\"+(Cy-1.2*r)+\"' id='text21637'><tspan sodipodi:role='line' id='tspan21635' x='\"+(offset+2*r+20)+\"' y='\"+(Cy-1.2*r)+\"' style='font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Symbol;-inkscape-font-specification:Symbol;stroke-width:0.25' dy='0 0'>t<\/tspan><\/text>\";\n\n\/\/2 phi annotation\nleinwand.innerHTML = leinwand.innerHTML + \"<circle cx='\"+(Ax+8-r*0.167*Math.cos(phi)) +\"' cy='\"+(Ay-4+r*0.167*Math.sin(phi)) +\"' r='\"+9+\"' 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x2='\"+Gx+\"' y2='\"+Gy+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Hx+\"' y1='\"+Hy+\"' x2='\"+Hx+\"' y2='\"+Ay+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\nleinwand.innerHTML = leinwand.innerHTML + \"<line x1='\"+Fx+\"' y1='\"+Fy+\"' x2='\"+Dx+\"' y2='\"+Dy+\"' style='stroke:rgb(0,0,0);stroke-width:1' \/>\";\n}\n\n\n\n\n\n\n});\n  \n<\/script>\n\n<!--\/noptimize-->\n\n\n\n\n\n<h2 class=\"wp-block-heading\">Examples<\/h2>\n\n\n\n<p>Did the generation of the circle of Mohr not work? Below are two examples of how it should look.<\/p>\n\n\n\n<p>The following example was created with a principal stress of 100 N \/ mm\u00b2 and an angle of 20 \u00b0:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"522\" height=\"574\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/bsp1.png\" alt=\"Mohr stress circle for 100 N \/ mm\u00b2 and 20 \u00b0 cutting angle\" class=\"wp-image-1461\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/bsp1.png 522w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/bsp1-273x300.png 273w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/bsp1-400x440.png 400w\" sizes=\"auto, (max-width: 522px) 100vw, 522px\" \/><figcaption>Mohr stress circle for 100 N \/ mm\u00b2 and 20 \u00b0 cutting angle<\/figcaption><\/figure>\n\n\n\n<p>In contrast to this, the Mohr's circle of stress is on the other side of the vertical axis when the principal stress is negative.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"518\" height=\"598\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/bsp2.png\" alt=\"Mohr stress circle for -100 N \/ mm\u00b2 and 35 \u00b0 cutting angle\" class=\"wp-image-1463\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/bsp2.png 518w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/bsp2-260x300.png 260w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/bsp2-400x462.png 400w\" sizes=\"auto, (max-width: 518px) 100vw, 518px\" \/><figcaption>Mohr stress circle for -100 N \/ mm\u00b2 and 35 \u00b0 cutting angle<\/figcaption><\/figure>\n\n\n\n<p>Here we have some more <a href=\"http:\/\/tools\">tools for calculations in engineering mechanics<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p> ... <a title=\"Mohr&#039;s first circle, uniaxial stress\" class=\"read-more\" href=\"https:\/\/pickedshares.com\/en\/mohrs-first-circle-uniaxial-stress\/\" aria-label=\"Read more about Mohr&#039;s first circle, uniaxial stress\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":1461,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[79,54],"tags":[],"class_list":["post-1471","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-engineering-en","category-tools-en","infinite-scroll-item","masonry-post","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-33"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Mohr&#039;s first circle, uniaxial stress &#8226; Online generator pickedshares<\/title>\n<meta name=\"description\" content=\"This is an online generator for drawing the first circle of Mohr for uniaxial stresses. 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