{"id":2172,"date":"2019-09-25T16:16:07","date_gmt":"2019-09-25T15:16:07","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=2172"},"modified":"2024-03-08T12:04:25","modified_gmt":"2024-03-08T11:04:25","slug":"how-to-calculate-and-solve-for-horizontal-stress-rock-mechanics","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/09\/25\/how-to-calculate-and-solve-for-horizontal-stress-rock-mechanics\/","title":{"rendered":"How to Calculate and Solve for Horizontal Stress | Rock Mechanics"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-2178\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/horizontal-stress.png\" alt=\"\" width=\"228\" height=\"221\" \/><\/p>\n<p>The image above represents horizontal stress. To calculate horizontal stress, two essential parameters are needed, and these parameters are <strong>Poisson&#8217;s ratio (v) <\/strong>and\u00a0<strong>vertical stress (\u03c3<sub>v<\/sub>).<\/strong><\/p>\n<p>The formula for calculating the horizontal stress:<\/p>\n<p>\u03c3<sub>H<\/sub>\u00a0=\u00a0<sup>v\u03c3<sub>v<\/sub><\/sup>\u00a0\/\u00a0<sub>1 &#8211; v<\/sub><\/p>\n<p>Where;<\/p>\n<p>\u03c3<sub>H<\/sub>\u00a0= Horizontal Stress<br \/>\nv = Poisson&#8217;s Ratio<br \/>\n\u03c3<sub>v<\/sub>\u00a0= Vertical Stress<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the horizontal stress when the Poisson&#8217;s ratio is 24 and the vertical stress is 28.<\/p>\n<p>This implies that;<\/p>\n<p>v = Poisson&#8217;s Ratio = 24<br \/>\n\u03c3<sub>v<\/sub> = Vertical Stress = 28<\/p>\n<p>\u03c3<sub>H<\/sub>\u00a0=\u00a0<sup>v\u03c3<sub>v<\/sub><\/sup>\u00a0\/\u00a0<sub>1 &#8211; v<\/sub><br \/>\nSo, \u03c3<sub>H<\/sub>\u00a0=\u00a0<sup>24(28)<\/sup>\u00a0\/\u00a0<sub>(1 &#8211; 24)<\/sub><br \/>\n\u03c3<sub>H<\/sub>\u00a0=\u00a0672\u00a0\/\u00a0<sub>-23<\/sub><br \/>\n\u03c3<sub>H<\/sub>\u00a0= -29.217<\/p>\n<p>Therefore, the\u00a0<strong>horizontal stress\u00a0<\/strong>is\u00a0<strong>29.217.<\/strong><\/p>\n<h3><strong>Calculating the Poisson&#8217;s Ratio when the Horizontal Stress and Vertical stress are Given<\/strong><\/h3>\n<p>v = <sup>\u03c3<sub>H<\/sub><\/sup> \/ <sub>\u03c3<sub>v<\/sub> + \u03c3<sub>H<\/sub><\/sub><\/p>\n<p>Where;<\/p>\n<p>v = Poisson&#8217;s Ratio<br \/>\n\u03c3<sub>H<\/sub>\u00a0= Horizontal Stress<br \/>\n\u03c3<sub>v<\/sub>\u00a0= Vertical Stress<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the Poisson&#8217;s ratio when the horizontal stress is 12 and the vertical stress is 16.<\/p>\n<p>This implies that;<\/p>\n<p>\u03c3<sub>H<\/sub> = Horizontal Stress = 12<br \/>\n\u03c3<sub>v<\/sub> = Vertical Stress = 16<\/p>\n<p>v = <sup>\u03c3<sub>H<\/sub><\/sup> \/ <sub>\u03c3<sub>v<\/sub> + \u03c3<sub>H<\/sub><\/sub><br \/>\nv = <sup>12<\/sup> \/ <sub>16 + 12<\/sub><br \/>\nThen, v = <sup>12<\/sup> \/ <sub>28<\/sub><br \/>\nv = <sup>12<\/sup> \/ <sub>28<\/sub><br \/>\nv = 0.428<\/p>\n<p>Therefore, the\u00a0<strong>Poisson&#8217;s ratio\u00a0<\/strong>is\u00a0<strong>0.428.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2019\/09\/24\/how-to-calculate-and-solve-for-lateral-strain-rock-mechanics\/\">How to Calculate and Solve for Lateral Strain | Rock Mechanics<\/a><\/p>\n<h3><strong>Calculating the Vertical Stress when the Horizontal Stress and the Poisson&#8217;s Ratio are Given<\/strong><\/h3>\n<p>\u03c3<sub>v<\/sub> = <sup>\u03c3<sub>H<\/sub> (1 &#8211; v)<\/sup> \/ <sub>v<\/sub><\/p>\n<p>Where;<\/p>\n<p>\u03c3<sub>v<\/sub> = vertical stress<br \/>\n\u03c3<sub>H<\/sub>\u00a0= Horizontal Stress<br \/>\nv\u00a0= Poisson&#8217;s ratio<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the vertical stress when the horizontal stress is 14 and the Poisson&#8217;s ratio is 8.<\/p>\n<p>This implies that;<\/p>\n<p>\u03c3<sub>H<\/sub> = Horizontal Stress = 14<br \/>\nv = Poisson&#8217;s ratio = 8<\/p>\n<p>\u03c3<sub>v<\/sub> = <sup>\u03c3<sub>H<\/sub> (1 &#8211; v)<\/sup> \/ <sub>v<\/sub><br \/>\n\u03c3<sub>v<\/sub> = <sup>14 (1 &#8211; 8)<\/sup> \/ <sub>8<\/sub><br \/>\nThat is, \u03c3<sub>v<\/sub> = <sup>14 (- 7)<\/sup> \/ <sub>8<\/sub><br \/>\n\u03c3<sub>v<\/sub> = <sup>&#8211; 98<\/sup> \/ <sub>8<\/sub><br \/>\n\u03c3<sub>v<\/sub> = &#8211; 12.25<\/p>\n<p>Therefore, the\u00a0<strong>vertical stress\u00a0<\/strong>is\u00a0<strong>&#8211; 12.25.<\/strong><\/p>\n<h3><strong>How to Calculate Horizontal Stress Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating horizontal stress.<\/p>\n<p>To get the answer and workings of the horizontal stress using the <strong>Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p><strong>Web<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0<strong>professional\u00a0<\/strong>version via web, you need to\u00a0<strong>register<\/strong>\u00a0and\u00a0<strong>subscribe\u00a0<\/strong>for<strong>\u00a0NGN 1,500\u00a0<\/strong>per<strong>\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0<strong>demo\u00a0<\/strong>version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p><strong>Android (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Android (Free)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Apple (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0<strong>Calculator Map,\u00a0<\/strong>then click on\u00a0<strong>Geology<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Add-on.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2130 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-588.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-588.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-588-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-588-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-588-1024x576.png 1024w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on\u00a0<strong>Rock Mechanics<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Geology<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2131 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-589.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-589.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-589-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-589-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-589-1024x576.png 1024w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Horizont<\/strong><strong>al <\/strong><strong>Stress <\/strong>under\u00a0<strong>Rock Mechanics<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2181 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-618.png\" alt=\"How to Calculate and Solve for Horizontal Stress | Rock Mechanics\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-618.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-618-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-618-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-618-1024x576.png 1024w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the lateral strain according to the respective parameters which are the <strong>Poisson ratio (v)\u00a0<\/strong>and\u00a0<strong>vertical stress (\u03c3<sub>v<\/sub>).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2182 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-619.png\" alt=\"How to Calculate and Solve for Horizontal Stress | Rock Mechanics\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-619.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-619-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-619-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-619-1024x576.png 1024w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the <strong>Poisson ratio (v) <\/strong>is <strong>24 <\/strong>and\u00a0<strong>vertical stress (\u03c3<sub>v<\/sub>)<\/strong> is\u00a0<strong>28<\/strong><strong>.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2183 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-620.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-620.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-620-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-620-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-620-1024x576.png 1024w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calculate<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-2184 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-621.png\" alt=\"How to Calculate and Solve for Horizontal Stress | Rock Mechanics\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-621.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-621-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-621-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/09\/Screenshot-621-1024x576.png 1024w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As\u00a0you can see from the screenshot above,\u00a0<strong>Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the horizontal stress and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents horizontal stress. To calculate horizontal stress, two essential parameters are needed, and these parameters&hellip;","protected":false},"author":5,"featured_media":13141,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Horizontal Stress","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn the steps, guidelines, and formula on How to Calculate and Solve for Horizontal Stress | Rock 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