Strain transformation example

Side AC is aligned with the x axis; therefore, θAC=0

Write a strain transformation equation for side AC:

+1,250με=εx cos2(0)+εy sin2(0)+γxy sin(0)cos(0)

Since sin(0)=0 and cos(0)=1, this equation simplifies to:

+1,250 με =εx

The initial length of side AC is 360 mm and the deformed length is 360.45 mm. The normal strain along side AC is therefore:


εAC=360.45-360.00360.00     =+0.00125 mm/mm     =+1,250 με