3. A strain gauge that has a nominal resistance of 350 Ω and a gauge factor of 1.92 equal‐arm bridge a 1.15 cm2 aluminum rod, with Em = 68 GPa The bridge output is 1 mV for a bridge input of 5 V. What is the applied load, assuming that the rod is in uniaxial tension

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Chapter20: Electric Current, Resistance, And Ohm's Law
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3. A strain gauge that has a nominal resistance of 350 Ω and a gauge factor of 1.92 equal‐arm bridge a 1.15 cm2 aluminum rod, with Em = 68 GPa The bridge output is 1 mV for a bridge input of 5 V. What is the applied load, assuming that the rod is in uniaxial tension

nom. Res. = 350 ohm GF 1.92 1.15cm^2 rod Em = 68 GpA Eo=1mV Ei=5V

Equal Arm Bridge

dEo/Ei = dR/R/ 4+2(dR/R) >>> dR/R = (4(d Eo/Ei))/1-2(d Eo/Ei),

4(1mv/5v)/1-2(1mv/5v) = .0008

dR = .0008 * 350 ohm =.28

E = dR/R*GF = .00042

str: Em*E = 68*10^9*.00042 = 28.34 MpA

F = s* Ac =

 

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