 Ch 8. Strain Analysis Multimedia Engineering Mechanics PlaneStrain Mohr's Circlefor Strain StrainGages
 Chapter 1. Stress/Strain 2. Torsion 3. Beam Shr/Moment 4. Beam Stresses 5. Beam Deflections 6. Beam-Advanced 7. Stress Analysis 8. Strain Analysis 9. Columns Appendix Basic Math Units Basic Equations Sections Material Properties Structural Shapes Beam Equations Search eBooks Dynamics Statics Mechanics Fluids Thermodynamics Math Author(s): Kurt Gramoll ©Kurt Gramoll 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.

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