Search
 
 

MECHANICS - CASE STUDY

    Introduction


Strain State at a Single Location
on an Oil Tanker

 

To better understand the strain state for an old oil tanker, strain gages where attached to the surface of the tanker at the location shown. With the help of the strain gage results, it was determined that the strains at that location were εx = -800 μ, εy = 400 μ, and γxy = 400 μ.

   
  Question

 

Using Mohr's circle, what is 1) the principal direction and principal normal strains, 2) maximum strain direction and the maximum shearing strain, and 3) the strains at an angle of 30o?

   
  Approach

 
  • Construct the basic Mohr's circle for the given strain state.
  • Determine the principal direction from the Mohr's circle diagram, and then the principal strains.
  • Find the maximum shear strain direction from the Mohr's circle diagram. Remember that the shear strain is divided by 2 on Mohr's circle.
  • Rotate the strain element 15o using Mohr's circle.
     
   
 
Practice Homework and Test problems now available in the 'Eng Mechanics' mobile app
Includes over 400 problems with complete detailed solutions.
Available now at the Google Play Store and Apple App Store.