Question

A 0.66 ft steel bar undergoes a stretch of 0.75 in in an axial direction. What is the strain? Use three significant figures (four if your the first non-zero digit of your answer is 1).

Answer 1

Answer:

The strain is 0.0947.

Explanation:

Strain is the ration of change in dimension to the original dimension under application of load. Depending upon load, the bar may stretch or compress. So, the strain can be negative in case of compression or positive in case of tension.

Step1

Given:

Original length of the steel bar is 0.66 ft or 7.92 in.

Stretch in the bar is of 0.75 in.

Calculation:

Step2

Strain is calculated as follows:

$e=\frac{\bigtriangleup l}{l_{o}}$

$e=\frac{0.75}{7.92}$

e = 0.0947

Positive sign is for stretching condition of the bar.

Thus, the strain is 0.0947.