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For a steel sheet with k = 500 MPa, ε0= 0.05, n = 0.30, the true strain at necking would be ___________ if tensile necking begins at the maximum load. Choose the best from the choices. (a) 0.25 (b) 0.30 (c) 0.2 (d) 0.15

Question

For a steel sheet with k = 500 MPa, ε0= 0.05, n = 0.30, the true strain at necking would be ___________ if tensile necking begins at the maximum load. Choose the best from the choices. (a) 0.25 (b) 0.30 (c) 0.2 (d) 0.15

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Solution

The true strain at necking for a material can be calculated using the formula:

εn = ε0 + n

where: εn is the true strain at necking, ε0 is the true strain at yield (0.05 in this case), and n is the strain hardening exponent (0.30 in this case).

Substituting the given values into the formula, we get:

εn = 0.05 + 0.30 = 0.35

However, this value is not among the options provided. There might be a mistake in the question or the provided options.

This problem has been solved

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