A strain gauge with a 5 mm gauge length gives a displacement reading of 1.25 um. Calculate the stress value given by this displacement if the material is structural steel.

Respuesta :

Answer:

stress  = 50MPa

Explanation:

given data:

Length of strain guage is 5mm

displacement[tex] \delta = 1.25 \mu m =\frac{1.25}{1000} =  0.00125 mm[/tex]

stress due to displacement in structural steel can be determined by using following relation

[tex]E =\frac{stress}{strain}[/tex]

[tex]stress = E \times strain[/tex]

where E is young's modulus of elasticity

E for steel is 200 GPa

[tex]stress = 200\times 10^3 *\frac{1.25*10^{-3}}{5}[/tex]

stress  = 50MPa