A strain gauge with a 4 mm gauge length gives a displacement reading of 1.5 um. Calculate the stress at the location of the strain gauge if the material is a) structural steel, and b) PMMA.

Respuesta :

Answer:

1)  75Mpa

2) 1.125 MPa

Explanation:

given data:

gauge length = 4 mm

displacement [tex]= 1.5\mu m = 1.5\times 10^{-3} m[/tex]

a) structural steel

Young modulus for steel is [tex]200 GPa = 200\times 10^3 MPa[/tex]

we know that

[tex]E  =\frac{stress}{strain}[/tex]

[tex]Stress = 200\times 10^3 \times \frac{1.5\times 10^{-3}}{4}[/tex]

          = 75Mpa

b) PMMA

Young's modulus [tex]= 3GPa = 3\times10^3 MPa[/tex]

[tex]stress = 3\times \frac{1.5\times10^{-3}}{4}[/tex]

stress = 1.125 MPa