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​Average Normal Strain and Average Shear Strain

Average Normal Strain and Average Shear Strain

Learning Goal:

To determine the average normal strain and average shear strain in a known material based on a given load and geometry.

A flat plate ABCD distorts into the dashed shapeAB'C'D shown after a load is applied with a = 122.0 mm , b = 55.0 mm , g = 8.0 mm , f= 20.0 mm , and e = 7.0 mm .

ME_1300614_I.jpg

Part A - Average normal strain alongAC

Determine the average normal strain (ϵAC)avg along AC after the load has been applied.

Express the average normal strain in millimeters per millimeter to three significant figures.



(ϵAC)avg =
  mm/mm  


Part B - Average shear strain at A

Determine the average shear strainγxy at A relative to thex and y axes.

Express the average shear strain in radians to three significant figures.



γxy =
  rad  


Part C - Average shear strain at pointC

Determine the average shear strainγxy at point C relative to thex and y axes after deformation.

Express the average shear strain in radians to three significant figures.



γxy =
  rad  

Solutions

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