Question

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.

Answer 1

stress = 50MPa

Step-by-step explanation:

given data:

Length of strain guage is 5mm

displacement
`\delta = 1.25 \mu m =(1.25)/(1000) =  0.00125 mm`

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

`E =(stress)/(strain)`

`stress = E * strain`

where E is young's modulus of elasticity

E for steel is 200 GPa

`stress = 200* 10^3 *(1.25*10^(-3))/(5)`

stress = 50MPa