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kakasveta [241]
3 years ago
13

Electrical strain gauges were applied to a notched specimen to determine the stresses in the notch. The results were εx=0.0019 a

nd εy=0.00072. Find σx and σy if the material is made of carbon steel where E=200GPa, Sy=360 MPa.
Engineering
1 answer:
pickupchik [31]3 years ago
6 0

Answer:

\sigma_x=451.8MPa

\sigma_y=265.99MPa

Explanation:

\varepsilon _x=0.0019

\varepsilon _y=0.00072

Poission's ratio for steel =0.28

We know that

\varepsilon _x=\dfrac{\sigma _x}{E}-\mu\dfrac{\sigma _x}{E}

\varepsilon _y=\dfrac{\sigma _y}{E}-\mu\dfrac{\sigma _x}{E}

Now by putting the values

0.0019=\dfrac{\sigma _x}{200\times 1000}-0.28\dfrac{\sigma _y}{200\times 1000}

0.00072=\dfrac{\sigma _y}{200\times 1000}-0.28\dfrac{\sigma _x}{200\times 1000}

So \sigma_x=451.8MPa

\sigma_y=265.99MPa

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