Example (Plane Stress)

 Previous: General Notes on Plane Stress and Plane Strain

Strain gages are used to measure strains of the body and are typically mounted on the surfaces, since there are no normal/shear tractions on the surface.  A state of '' plane stress'' can be assumed.

 

Problem:  If the principal strains at a given strain gage indicate 0.004 and 0.001 in/in, what is the principal stress at that location.

 

Solution:

A state of plane stress exists,

 

Material

Modulus of elasticity, psi (GPa)

Shear   modulus,*psi (GPa)

  Poisson's ratio

Aluminum alloys

Copper

Steel (plain Carbon and low-alloy)

Stainless steel (18-8)

Titanium

Tungsten

10.5(72.4)

16.0(110)

29.0(200)

28.0(193)

17.0(117)

58.0(400)

4.0(27.5)

6.0(41.4)

11.0(75.8)

9.5(65.6)

6.5(44.8)

22.8(157)

0.31

0.33

0.33

0.28

0.31

0.27

  

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