Question #201117

. A resistance strain gage with a gage factor of 2.4 is mounted on a steel beam whose modulus of

elasticity is 2x106kg/cm2

. The strain gage has an unstrained resistance of 120.0Ω which

increases to 120.1Ω when the beam is subjected to a stress. Calculate the stress at the point

where the strain gage is mounted

Expert's answer

Gauge factor is the ratio of relative change in resistance to that of the strain.

Relative change in resistance "\\frac{120.1-120}{120}=8.34*10^{-4}"

Gauge factor "=\\frac{8.34*10^{-4}}{\\epsilon}=2.4"

"Strain, \\epsilon = \\frac{8.34*10^{-4}}{2.4}=3.5*10^{-4}"

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