Question

A low-nickel steel in the heat-treated condition had an engineering' tensile strength of 708 N/mm². The reduction in area of cross-section at the fracture was 44%. What was the true tensile strength of the steel?

Answer 1

Answer and Explanation:

To calculate the true tensile strength of the steel, we need to use the reduction in area of the cross-section at the fracture. The true tensile strength is related to the engineering tensile strength by the formula:

True tensile strength = Engineering tensile strength / (1 - (reduction in area / 100))

Given:

Engineering tensile strength = 708 N/mm²

Reduction in area of cross-section = 44%

Now we can substitute the given values into the formula to find the true tensile strength:

True tensile strength = 708 N/mm² / (1 - (44 / 100))

Calculating this expression, we get:

True tensile strength = 708 N/mm² / (1 - 0.44)

Simplifying further:

True tensile strength = 708 N/mm² / 0.56

Finally, we can calculate the true tensile strength:

True tensile strength = 1264.29 N/mm²

Therefore, the true tensile strength of the low-nickel steel in the heat-treated condition is approximately 1264.29 N/mm².