{"id":2221,"date":"2019-09-26T14:39:20","date_gmt":"2019-09-26T13:39:20","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=2221"},"modified":"2024-03-09T08:44:32","modified_gmt":"2024-03-09T07:44:32","slug":"how-to-calculate-and-solve-for-bulk-modulus-of-elasticity-stress-rock-mechanics","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/09\/26\/how-to-calculate-and-solve-for-bulk-modulus-of-elasticity-stress-rock-mechanics\/","title":{"rendered":"How to Calculate and Solve for Bulk Modulus of Elasticity (stress) | Rock Mechanics"},"content":{"rendered":"

To calculate bulk modulus elasticity (stress), two essential parameters are needed and these parameters are Average Horizontal Stress (hav<\/sub>) <\/strong>and Vertical Stress (\u03c3v<\/sub>).<\/strong><\/p>\n

The formula for calculating the bulk modulus elasticity (stress):<\/p>\n

k =\u00a0hav<\/sub><\/sup>\u00a0\/\u00a0\u03c3v<\/sub><\/sub><\/p>\n

Where;<\/p>\n

k = Bulk Modulus of Elasticity (Stress)
\nhav<\/sub>\u00a0= Average Horizontal Stress
\n\u03c3v<\/sub>\u00a0= Vertical Stress<\/p>\n

Let’s solve an example;
\nGiven that the average horizontal stress is 15 and the vertical stress is 34. Find the bulk modulus of elasticity (stress)?<\/p>\n

This implies that;<\/p>\n

hav<\/sub> = Average Horizontal Stress = 15
\n\u03c3v<\/sub> = Vertical Stress = 34<\/p>\n

So, k = hav<\/sub><\/sup>\u00a0\/\u00a0\u03c3v<\/sub><\/sub>
\nk =\u00a015<\/sup>\u00a0\/\u00a034<\/sub>
\nk = 0.44<\/p>\n

Therefore, the\u00a0bulk modulus of elasticity (stress)\u00a0<\/strong>is\u00a00.44.<\/strong><\/p>\n

Calculating the Average Horizontal Stress when the Bulk Modulus Elasticity (stress) and the Vertical Stress are Given<\/strong><\/h3>\n

hav<\/sub> = k x \u03c3v<\/sub><\/p>\n

Where;<\/p>\n

hav<\/sub>\u00a0= Average Horizontal Stress
\nk = Bulk Modulus of Elasticity (Stress)
\n\u03c3v<\/sub>\u00a0= Vertical Stress<\/p>\n

So, let’s solve an example;
\nGiven that the bulk modulus of elasticity (stress) is 25 and the vertical stress is 8, find the average horizontal stress.<\/p>\n

This implies that;<\/p>\n

k = Bulk Modulus of Elasticity (Stress) = 25
\n\u03c3v<\/sub> = Vertical Stress = 8<\/p>\n

Then, hav<\/sub> = k x \u03c3v<\/sub>
\nhav<\/sub> = 25 x 8
\nhav<\/sub> = 200<\/p>\n

Therefore, the\u00a0average horizontal stress\u00a0<\/strong>is\u00a0200.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Horizontal Stress | Rock Mechanics<\/a><\/p>\n

Calculating the Vertical Stress when the Bulk Modulus Elasticity (stress) and the Average Horizontal Stress are Given<\/strong><\/h3>\n

\u03c3v<\/sub> =\u00a0hav<\/sub><\/sup>\u00a0\/\u00a0k<\/sub><\/p>\n

Where;<\/p>\n

\u03c3v<\/sub>\u00a0= Vertical Stress
\nk = Bulk Modulus of Elasticity (Stress)
\nhav<\/sub> = Average Horizontal Stress<\/p>\n

Let’s solve an example;
\nGiven that the bulk modulus of elasticity (stress) is 18 and the average horizontal stress is 32. Find the vertical stress?<\/p>\n

This implies that;<\/p>\n

k = Bulk Modulus of Elasticity (Stress) = 18
\nhav<\/sub> = Average Horizontal Stress = 32<\/p>\n

So, \u03c3v<\/sub> =\u00a0hav<\/sub><\/sup>\u00a0\/\u00a0k<\/sub>
\n\u03c3v<\/sub> =\u00a032<\/sup>\u00a0\/\u00a018<\/sub>
\n\u03c3v<\/sub> = 1.77<\/p>\n

Therefore, the\u00a0vertical stress\u00a0<\/strong>is\u00a01.77.<\/strong><\/p>\n

How to Calculate Bulk Modulus of Elasticity (stress) Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the bulk modulus of elasticity (stress).<\/p>\n

To get the answer and workings of the bulk modulus of elasticity (stress) using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 1,500\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Geology<\/strong>\u00a0<\/strong>under\u00a0Add-on.<\/strong><\/p>\n

\"How<\/p>\n

Now, Click on\u00a0Rock Mechanics<\/strong>\u00a0<\/strong>under\u00a0Geology<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Bulk Modulus of Elasticity (stress)<\/strong>\u00a0under Rock Mechanics<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the bulk modulus of elasticity (stress) according to the respective parameters which are the Average Horizontal Stress (hav<\/sub>) <\/strong>and Vertical Stress (\u03c3v<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Average Horizontal Stress (hav<\/sub>)<\/strong>\u00a0<\/strong>is 15 <\/strong>and Vertical Stress (\u03c3v<\/sub>)<\/strong>\u00a0is 34<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the bulk modulus of elasticity (stress) and presents the formula, workings and steps, too.<\/p>\n","protected":false},"excerpt":{"rendered":"To calculate bulk modulus elasticity (stress), two essential parameters are needed and these parameters are Average Horizontal Stress…","protected":false},"author":5,"featured_media":13172,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Bulk Modulus of Elasticity (stress)","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn the steps, workings, and formula on How to Calculate and Solve for Bulk Modulus of Elasticity (stress) | Rock 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