STRAIN Transformation Calculator (Plane Stress)    
by: Dominic J. Dal Bello © 2001-2009
Input Strains, Angle
Output Strains, Angles

   Stress state:   ex , ey , gxy 

   Angle of Rotation:         q      

   Transformed:     ex' , ey' , gxy ;   In-Plane Principal:  eI at qI , eII at qII ;

   Max. In-Plane Shear:  +|gmax| on qs1 , –|gmax| on qs2 , eave
INPUT  

1. Enter the original STRAINS on the element:
     ex=    ey=    gxy=   (Plane-Strain case only) 

2. Enter the counterclockwise (positive) rotation of the element:
        q (degrees) = °   (leave as zero if only calculating max. values)

3.

 
OUTPUT  

Strains in rotated system (rotated q from original axes):

   ex' =    ey' =    gx'y' =


 
Note: The angles listed below correspond to vectors (rotated q from the x-axis) that are normal to the faces on which the strains act. Angles in degrees.  

Principal Strains
     Max. Principal Strain:      eI =    at  qII = °
     Min. Principal Strain:    eII =   at  qII = °

 

Maximum Shear Strain
     Max. (Positive) Shear Strain:       gmax =  at  qs,1 = °
     Max. (Negative) Shear Strain:      gmax =  at  qs,2 = °

     Normal Strain on both faces:   eave =

 

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© Dominic J. Dal Bello, 2008-2009    Updated: 05/26/09 DJD