Question

A 50-mm-wide, 1-mm-thick strip is rolled to a final thickness of 0.5 mm. It is noted that the strip has increased in width to 52 mm. The true strain in the rolling direction is ___________

Answer 1

Answer: the true strain in the rolling direction is approximately -0.693.

Step-by-step explanation:

To determine the true strain in the rolling direction, we can use the formula:

True Strain = ln(final thickness / initial thickness)

Given:

Initial width (W1) = 50 mm

Initial thickness (t1) = 1 mm

Final thickness (t2) = 0.5 mm

Final width (W2) = 52 mm

We can calculate the true strain as follows:

True Strain = ln(t2 / t1)

True Strain = ln(0.5 mm / 1 mm)

True Strain = ln(0.5)

Using natural logarithm (ln), we find that ln(0.5) is approximately -0.693.