Material Testing: A steel bar originally measured to be 4.5 inches long is subjected to a tensile force. After the force is removed, the bar's length was measured to be 4.8 inches. Calculate the strain experienced by the steel bar.
Question
Material Testing: A steel bar originally measured to be 4.5 inches long is subjected to a tensile force. After the force is removed, the bar's length was measured to be 4.8 inches. Calculate the strain experienced by the steel bar.
Solution
Strain is a measure of deformation representing the displacement between particles in a material body. It's a dimensionless measure defined as the change in length divided by the original length.
Here's how to calculate it:
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First, identify the original length of the steel bar. From the problem, we know that the original length (L0) is 4.5 inches.
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Next, identify the final length of the steel bar after the force is applied. From the problem, we know that the final length (Lf) is 4.8 inches.
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Calculate the change in length (ΔL). This is done by subtracting the original length from the final length. So, ΔL = Lf - L0 = 4.8 inches - 4.5 inches = 0.3 inches.
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Finally, calculate the strain (ε). Strain is calculated by dividing the change in length by the original length. So, ε = ΔL / L0 = 0.3 inches / 4.5 inches = 0.0667.
So, the strain experienced by the steel bar is 0.0667.
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